%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL025+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 19:44:03 EDT 2022
% Result : Theorem 39.44s 39.66s
% Output : CNFRefutation 40.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] :
( join(X0,one) = one
=> converse(X0) = X0 ) ).
fof(subgoal_0,plain,
! [X0] :
( join(X0,one) = one
=> converse(X0) = X0 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( join(X0,one) = one
=> converse(X0) = X0 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_1,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_3,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_7,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_11,plain,
! [X0] : converse(converse(X0)) = X0,
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] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_15,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_19,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_21,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
? [X0] :
( converse(X0) != X0
& join(X0,one) = one ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_23,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
& join(skolemFOFtoCNF_X0,one) = one ),
inference(skolemize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_26,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_28,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(conjunct,[],[normalize_0_23]) ).
cnf(refute_0_0,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),complement(join(complement(X_14),complement(X_15))))),
inference(subst,[],[refute_0_0:[bind(X1,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_2,plain,
meet(X_14,X_15) = complement(join(complement(X_14),complement(X_15))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_14)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| complement(join(complement(X_14),complement(X_15))) = meet(X_14,X_15) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_14,X_15))),bind(Y,$fot(complement(join(complement(X_14),complement(X_15)))))]]) ).
cnf(refute_0_7,plain,
complement(join(complement(X_14),complement(X_15))) = meet(X_14,X_15),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| meet(X0,join(complement(X_14),complement(X_15))) != complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))
| meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))) ),[1,0,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_9,plain,
( meet(X0,join(complement(X_14),complement(X_15))) != complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))
| meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_12,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_14,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_16,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_17,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_11,refute_0_17]) ).
cnf(refute_0_19,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_20,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_21,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_23,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_24,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_26]) ).
cnf(refute_0_28,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_27:[bind(X,$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_29,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_19,refute_0_29]) ).
cnf(refute_0_31,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_32,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_18,refute_0_32]) ).
cnf(refute_0_34,plain,
X_83 = join(meet(X_83,complement(X_83)),complement(join(complement(X_83),complement(X_83)))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83)),bind(X1,$fot(complement(X_83)))]]) ).
cnf(refute_0_35,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_36,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_37,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_38,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
join(complement(X_37),composition(converse(one),complement(composition(one,X_37)))) = complement(X_37),
inference(subst,[],[refute_0_39:[bind(X0,$fot(one)),bind(X1,$fot(X_37))]]) ).
cnf(refute_0_41,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_42,plain,
converse(composition(converse(X0),X_7)) = composition(converse(X_7),converse(converse(X0))),
inference(subst,[],[refute_0_41:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_43,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_44,plain,
( converse(composition(converse(X0),X_7)) != composition(converse(X_7),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_7)) = composition(converse(X_7),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_7)),composition(converse(X_7),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_45,plain,
( converse(composition(converse(X0),X_7)) != composition(converse(X_7),converse(converse(X0)))
| converse(composition(converse(X0),X_7)) = composition(converse(X_7),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
converse(composition(converse(X0),X_7)) = composition(converse(X_7),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_7)),composition(converse(X_7),converse(converse(X0)))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
converse(composition(converse(X_8),one)) = composition(converse(one),X_8),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_8)),bind(X_7,$fot(one))]]) ).
cnf(refute_0_48,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_49,plain,
composition(converse(X_8),one) = converse(X_8),
inference(subst,[],[refute_0_48:[bind(X0,$fot(converse(X_8)))]]) ).
cnf(refute_0_50,plain,
( composition(converse(X_8),one) != converse(X_8)
| converse(composition(converse(X_8),one)) != composition(converse(one),X_8)
| converse(converse(X_8)) = composition(converse(one),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_8),one)),composition(converse(one),X_8)) ),[0,0],$fot(converse(X_8))]]) ).
cnf(refute_0_51,plain,
( converse(composition(converse(X_8),one)) != composition(converse(one),X_8)
| converse(converse(X_8)) = composition(converse(one),X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(X_8),one),converse(X_8)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
converse(converse(X_8)) = composition(converse(one),X_8),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_8),one)),composition(converse(one),X_8)) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
converse(converse(X_8)) = X_8,
inference(subst,[],[refute_0_43:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_54,plain,
( converse(converse(X_8)) != X_8
| converse(converse(X_8)) != composition(converse(one),X_8)
| X_8 = composition(converse(one),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_8)),composition(converse(one),X_8)) ),[0],$fot(X_8)]]) ).
cnf(refute_0_55,plain,
( converse(converse(X_8)) != composition(converse(one),X_8)
| X_8 = composition(converse(one),X_8) ),
inference(resolve,[$cnf( $equal(converse(converse(X_8)),X_8) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
X_8 = composition(converse(one),X_8),
inference(resolve,[$cnf( $equal(converse(converse(X_8)),composition(converse(one),X_8)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_48:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_58,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_56:[bind(X_8,$fot(one))]]) ).
cnf(refute_0_59,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_60,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_62,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_65,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
composition(converse(one),X_8) = composition(converse(one),X_8),
introduced(tautology,[refl,[$fot(composition(converse(one),X_8))]]) ).
cnf(refute_0_67,plain,
( composition(converse(one),X_8) != composition(converse(one),X_8)
| converse(one) != one
| composition(converse(one),X_8) = composition(one,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_8),composition(converse(one),X_8)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_68,plain,
( converse(one) != one
| composition(converse(one),X_8) = composition(one,X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_8),composition(converse(one),X_8)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
composition(converse(one),X_8) = composition(one,X_8),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( X_8 != composition(converse(one),X_8)
| composition(converse(one),X_8) != composition(one,X_8)
| X_8 = composition(one,X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_8,composition(one,X_8)) ),[0],$fot(composition(converse(one),X_8))]]) ).
cnf(refute_0_71,plain,
( X_8 != composition(converse(one),X_8)
| X_8 = composition(one,X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_8),composition(one,X_8)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
X_8 = composition(one,X_8),
inference(resolve,[$cnf( $equal(X_8,composition(converse(one),X_8)) )],[refute_0_56,refute_0_71]) ).
cnf(refute_0_73,plain,
X_37 = composition(one,X_37),
inference(subst,[],[refute_0_72:[bind(X_8,$fot(X_37))]]) ).
cnf(refute_0_74,plain,
( X_37 != composition(one,X_37)
| composition(one,X_37) = X_37 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_37)),bind(Y,$fot(composition(one,X_37)))]]) ).
cnf(refute_0_75,plain,
composition(one,X_37) = X_37,
inference(resolve,[$cnf( $equal(X_37,composition(one,X_37)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( composition(one,X_37) != X_37
| join(complement(X_37),composition(converse(one),complement(composition(one,X_37)))) != complement(X_37)
| join(complement(X_37),composition(converse(one),complement(X_37))) = complement(X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(composition(one,X_37)))),complement(X_37)) ),[0,1,1,0],$fot(X_37)]]) ).
cnf(refute_0_77,plain,
( join(complement(X_37),composition(converse(one),complement(composition(one,X_37)))) != complement(X_37)
| join(complement(X_37),composition(converse(one),complement(X_37))) = complement(X_37) ),
inference(resolve,[$cnf( $equal(composition(one,X_37),X_37) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
join(complement(X_37),composition(converse(one),complement(X_37))) = complement(X_37),
inference(resolve,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(composition(one,X_37)))),complement(X_37)) )],[refute_0_40,refute_0_77]) ).
cnf(refute_0_79,plain,
( X_8 != composition(one,X_8)
| composition(one,X_8) = X_8 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_8)),bind(Y,$fot(composition(one,X_8)))]]) ).
cnf(refute_0_80,plain,
composition(one,X_8) = X_8,
inference(resolve,[$cnf( $equal(X_8,composition(one,X_8)) )],[refute_0_72,refute_0_79]) ).
cnf(refute_0_81,plain,
composition(one,complement(X_37)) = complement(X_37),
inference(subst,[],[refute_0_80:[bind(X_8,$fot(complement(X_37)))]]) ).
cnf(refute_0_82,plain,
composition(converse(one),complement(X_37)) = composition(converse(one),complement(X_37)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_37)))]]) ).
cnf(refute_0_83,plain,
( composition(converse(one),complement(X_37)) != composition(converse(one),complement(X_37))
| converse(one) != one
| composition(converse(one),complement(X_37)) = composition(one,complement(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_37)),composition(converse(one),complement(X_37))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_84,plain,
( converse(one) != one
| composition(converse(one),complement(X_37)) = composition(one,complement(X_37)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_37)),composition(converse(one),complement(X_37))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
composition(converse(one),complement(X_37)) = composition(one,complement(X_37)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_84]) ).
cnf(refute_0_86,plain,
( composition(converse(one),complement(X_37)) != composition(one,complement(X_37))
| composition(one,complement(X_37)) != complement(X_37)
| composition(converse(one),complement(X_37)) = complement(X_37) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(one),complement(X_37)))),bind(Y,$fot(composition(one,complement(X_37)))),bind(Z,$fot(complement(X_37)))]]) ).
cnf(refute_0_87,plain,
( composition(one,complement(X_37)) != complement(X_37)
| composition(converse(one),complement(X_37)) = complement(X_37) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_37)),composition(one,complement(X_37))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
composition(converse(one),complement(X_37)) = complement(X_37),
inference(resolve,[$cnf( $equal(composition(one,complement(X_37)),complement(X_37)) )],[refute_0_81,refute_0_87]) ).
cnf(refute_0_89,plain,
join(complement(X_37),composition(converse(one),complement(X_37))) = join(complement(X_37),composition(converse(one),complement(X_37))),
introduced(tautology,[refl,[$fot(join(complement(X_37),composition(converse(one),complement(X_37))))]]) ).
cnf(refute_0_90,plain,
( composition(converse(one),complement(X_37)) != complement(X_37)
| join(complement(X_37),composition(converse(one),complement(X_37))) != join(complement(X_37),composition(converse(one),complement(X_37)))
| join(complement(X_37),composition(converse(one),complement(X_37))) = join(complement(X_37),complement(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(X_37))),join(complement(X_37),composition(converse(one),complement(X_37)))) ),[1,1],$fot(complement(X_37))]]) ).
cnf(refute_0_91,plain,
( composition(converse(one),complement(X_37)) != complement(X_37)
| join(complement(X_37),composition(converse(one),complement(X_37))) = join(complement(X_37),complement(X_37)) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(X_37))),join(complement(X_37),composition(converse(one),complement(X_37)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
join(complement(X_37),composition(converse(one),complement(X_37))) = join(complement(X_37),complement(X_37)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_37)),complement(X_37)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
( join(complement(X_37),composition(converse(one),complement(X_37))) != complement(X_37)
| join(complement(X_37),composition(converse(one),complement(X_37))) != join(complement(X_37),complement(X_37))
| join(complement(X_37),complement(X_37)) = complement(X_37) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(X_37))),complement(X_37)) ),[0],$fot(join(complement(X_37),complement(X_37)))]]) ).
cnf(refute_0_94,plain,
( join(complement(X_37),composition(converse(one),complement(X_37))) != complement(X_37)
| join(complement(X_37),complement(X_37)) = complement(X_37) ),
inference(resolve,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(X_37))),join(complement(X_37),complement(X_37))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
join(complement(X_37),complement(X_37)) = complement(X_37),
inference(resolve,[$cnf( $equal(join(complement(X_37),composition(converse(one),complement(X_37))),complement(X_37)) )],[refute_0_78,refute_0_94]) ).
cnf(refute_0_96,plain,
join(complement(X_83),complement(X_83)) = complement(X_83),
inference(subst,[],[refute_0_95:[bind(X_37,$fot(X_83))]]) ).
cnf(refute_0_97,plain,
( X_83 != join(meet(X_83,complement(X_83)),complement(join(complement(X_83),complement(X_83))))
| join(complement(X_83),complement(X_83)) != complement(X_83)
| X_83 = join(meet(X_83,complement(X_83)),complement(complement(X_83))) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,complement(X_83)),complement(join(complement(X_83),complement(X_83))))) ),[1,1,0],$fot(complement(X_83))]]) ).
cnf(refute_0_98,plain,
( X_83 != join(meet(X_83,complement(X_83)),complement(join(complement(X_83),complement(X_83))))
| X_83 = join(meet(X_83,complement(X_83)),complement(complement(X_83))) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),complement(X_83)),complement(X_83)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
X_83 = join(meet(X_83,complement(X_83)),complement(complement(X_83))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,complement(X_83)),complement(join(complement(X_83),complement(X_83))))) )],[refute_0_34,refute_0_98]) ).
cnf(refute_0_100,plain,
join(complement(complement(X_83)),zero) = join(zero,complement(complement(X_83))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_83))))]]) ).
cnf(refute_0_101,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_102,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_103,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
meet(X_83,complement(X_83)) = zero,
inference(subst,[],[refute_0_103:[bind(X0,$fot(X_83))]]) ).
cnf(refute_0_105,plain,
join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(complement(complement(X_83)),meet(X_83,complement(X_83))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_83)),meet(X_83,complement(X_83))))]]) ).
cnf(refute_0_106,plain,
( join(complement(complement(X_83)),meet(X_83,complement(X_83))) != join(complement(complement(X_83)),meet(X_83,complement(X_83)))
| meet(X_83,complement(X_83)) != zero
| join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(complement(complement(X_83)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_83)),meet(X_83,complement(X_83))),join(complement(complement(X_83)),meet(X_83,complement(X_83)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_107,plain,
( meet(X_83,complement(X_83)) != zero
| join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(complement(complement(X_83)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_83)),meet(X_83,complement(X_83))),join(complement(complement(X_83)),meet(X_83,complement(X_83)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(complement(complement(X_83)),zero),
inference(resolve,[$cnf( $equal(meet(X_83,complement(X_83)),zero) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( join(complement(complement(X_83)),meet(X_83,complement(X_83))) != join(complement(complement(X_83)),zero)
| join(complement(complement(X_83)),zero) != join(zero,complement(complement(X_83)))
| join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(zero,complement(complement(X_83))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(X_83)),meet(X_83,complement(X_83))))),bind(Y,$fot(join(complement(complement(X_83)),zero))),bind(Z,$fot(join(zero,complement(complement(X_83)))))]]) ).
cnf(refute_0_110,plain,
( join(complement(complement(X_83)),zero) != join(zero,complement(complement(X_83)))
| join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(zero,complement(complement(X_83))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_83)),meet(X_83,complement(X_83))),join(complement(complement(X_83)),zero)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
join(complement(complement(X_83)),meet(X_83,complement(X_83))) = join(zero,complement(complement(X_83))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_83)),zero),join(zero,complement(complement(X_83)))) )],[refute_0_100,refute_0_110]) ).
cnf(refute_0_112,plain,
join(meet(X_83,complement(X_83)),complement(complement(X_83))) = join(complement(complement(X_83)),meet(X_83,complement(X_83))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(complement(X_83)))),bind(X1,$fot(meet(X_83,complement(X_83))))]]) ).
cnf(refute_0_113,plain,
( join(complement(complement(X_83)),meet(X_83,complement(X_83))) != join(zero,complement(complement(X_83)))
| join(meet(X_83,complement(X_83)),complement(complement(X_83))) != join(complement(complement(X_83)),meet(X_83,complement(X_83)))
| join(meet(X_83,complement(X_83)),complement(complement(X_83))) = join(zero,complement(complement(X_83))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_83,complement(X_83)),complement(complement(X_83))))),bind(Y,$fot(join(complement(complement(X_83)),meet(X_83,complement(X_83))))),bind(Z,$fot(join(zero,complement(complement(X_83)))))]]) ).
cnf(refute_0_114,plain,
( join(complement(complement(X_83)),meet(X_83,complement(X_83))) != join(zero,complement(complement(X_83)))
| join(meet(X_83,complement(X_83)),complement(complement(X_83))) = join(zero,complement(complement(X_83))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,complement(X_83)),complement(complement(X_83))),join(complement(complement(X_83)),meet(X_83,complement(X_83)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
join(meet(X_83,complement(X_83)),complement(complement(X_83))) = join(zero,complement(complement(X_83))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_83)),meet(X_83,complement(X_83))),join(zero,complement(complement(X_83)))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( X_83 != join(meet(X_83,complement(X_83)),complement(complement(X_83)))
| join(meet(X_83,complement(X_83)),complement(complement(X_83))) != join(zero,complement(complement(X_83)))
| X_83 = join(zero,complement(complement(X_83))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(zero,complement(complement(X_83)))) ),[0],$fot(join(meet(X_83,complement(X_83)),complement(complement(X_83))))]]) ).
cnf(refute_0_117,plain,
( X_83 != join(meet(X_83,complement(X_83)),complement(complement(X_83)))
| X_83 = join(zero,complement(complement(X_83))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,complement(X_83)),complement(complement(X_83))),join(zero,complement(complement(X_83)))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
X_83 = join(zero,complement(complement(X_83))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,complement(X_83)),complement(complement(X_83)))) )],[refute_0_99,refute_0_117]) ).
cnf(refute_0_119,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_0_118:[bind(X_83,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_120,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_121,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( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_21,refute_0_120]) ).
cnf(refute_0_122,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_0_119,refute_0_121]) ).
cnf(refute_0_123,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_124,plain,
join(zero,join(zero,X2)) = join(join(zero,zero),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(zero)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_125,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_95:[bind(X_37,$fot(top))]]) ).
cnf(refute_0_126,plain,
zero = meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15)))),
inference(subst,[],[refute_0_101:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_127,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| zero != meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) ),[1,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_128,plain,
( zero != meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_7,refute_0_127]) ).
cnf(refute_0_129,plain,
zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_131,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_132,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
join(meet(X_14,X_15),complement(meet(X_14,X_15))) = top,
inference(subst,[],[refute_0_132:[bind(X0,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_134,plain,
complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))))]]) ).
cnf(refute_0_135,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))
| join(meet(X_14,X_15),complement(meet(X_14,X_15))) != top
| complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_136,plain,
( join(meet(X_14,X_15),complement(meet(X_14,X_15))) != top
| complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_14,X_15),complement(meet(X_14,X_15))),top) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
meet(join(complement(X_14),complement(X_15)),X1) = complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_139,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| meet(join(complement(X_14),complement(X_15)),X1) != complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))) ),[1,0,0],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_140,plain,
( meet(join(complement(X_14),complement(X_15)),X1) != complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_7,refute_0_139]) ).
cnf(refute_0_141,plain,
meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))) )],[refute_0_138,refute_0_140]) ).
cnf(refute_0_142,plain,
meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),
inference(subst,[],[refute_0_141:[bind(X1,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_143,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(top)
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)))),bind(Y,$fot(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_144,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(top)
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(top)) )],[refute_0_137,refute_0_144]) ).
cnf(refute_0_146,plain,
( meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != complement(top)
| zero != meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_147,plain,
( zero != meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),complement(top)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) )],[refute_0_129,refute_0_147]) ).
cnf(refute_0_149,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_150,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_152,plain,
( join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
join(complement(top),zero) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_125,refute_0_152]) ).
cnf(refute_0_154,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_155,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_156,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_156]) ).
cnf(refute_0_158,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(zero)),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_159,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_160,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
( join(complement(top),zero) != complement(top)
| join(complement(top),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_163,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_165,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_164]) ).
cnf(refute_0_166,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_0_153,refute_0_166]) ).
cnf(refute_0_168,plain,
( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
| join(zero,zero) != zero
| join(zero,join(zero,X2)) = join(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_169,plain,
( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
| join(zero,join(zero,X2)) = join(zero,X2) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
join(zero,join(zero,X2)) = join(zero,X2),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) )],[refute_0_124,refute_0_169]) ).
cnf(refute_0_171,plain,
join(zero,join(zero,complement(complement(X_85)))) = join(zero,complement(complement(X_85))),
inference(subst,[],[refute_0_170:[bind(X2,$fot(complement(complement(X_85))))]]) ).
cnf(refute_0_172,plain,
X_85 = join(zero,complement(complement(X_85))),
inference(subst,[],[refute_0_118:[bind(X_83,$fot(X_85))]]) ).
cnf(refute_0_173,plain,
( X_85 != join(zero,complement(complement(X_85)))
| join(zero,complement(complement(X_85))) = X_85 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_85)),bind(Y,$fot(join(zero,complement(complement(X_85)))))]]) ).
cnf(refute_0_174,plain,
join(zero,complement(complement(X_85))) = X_85,
inference(resolve,[$cnf( $equal(X_85,join(zero,complement(complement(X_85)))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( join(zero,complement(complement(X_85))) != X_85
| join(zero,join(zero,complement(complement(X_85)))) != join(zero,complement(complement(X_85)))
| join(zero,X_85) = join(zero,complement(complement(X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,complement(complement(X_85)))),join(zero,complement(complement(X_85)))) ),[0,1],$fot(X_85)]]) ).
cnf(refute_0_176,plain,
( join(zero,join(zero,complement(complement(X_85)))) != join(zero,complement(complement(X_85)))
| join(zero,X_85) = join(zero,complement(complement(X_85))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_85))),X_85) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
join(zero,X_85) = join(zero,complement(complement(X_85))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,complement(complement(X_85)))),join(zero,complement(complement(X_85)))) )],[refute_0_171,refute_0_176]) ).
cnf(refute_0_178,plain,
( join(zero,X_85) != join(zero,complement(complement(X_85)))
| join(zero,complement(complement(X_85))) != X_85
| join(zero,X_85) = X_85 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_85),X_85) ),[0],$fot(join(zero,complement(complement(X_85))))]]) ).
cnf(refute_0_179,plain,
( join(zero,X_85) != join(zero,complement(complement(X_85)))
| join(zero,X_85) = X_85 ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_85))),X_85) )],[refute_0_174,refute_0_178]) ).
cnf(refute_0_180,plain,
join(zero,X_85) = X_85,
inference(resolve,[$cnf( $equal(join(zero,X_85),join(zero,complement(complement(X_85)))) )],[refute_0_177,refute_0_179]) ).
cnf(refute_0_181,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(complement(meet(X0,X1))))]]) ).
cnf(refute_0_182,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_183,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_0_122,refute_0_183]) ).
cnf(refute_0_185,plain,
join(complement(X_14),complement(X_15)) = complement(meet(X_14,X_15)),
inference(subst,[],[refute_0_184:[bind(X0,$fot(X_14)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_186,plain,
meet(X0,join(complement(X_14),complement(X_15))) = meet(X0,join(complement(X_14),complement(X_15))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_187,plain,
( join(complement(X_14),complement(X_15)) != complement(meet(X_14,X_15))
| meet(X0,join(complement(X_14),complement(X_15))) != meet(X0,join(complement(X_14),complement(X_15)))
| meet(X0,join(complement(X_14),complement(X_15))) = meet(X0,complement(meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),meet(X0,join(complement(X_14),complement(X_15)))) ),[1,1],$fot(complement(meet(X_14,X_15)))]]) ).
cnf(refute_0_188,plain,
( join(complement(X_14),complement(X_15)) != complement(meet(X_14,X_15))
| meet(X0,join(complement(X_14),complement(X_15))) = meet(X0,complement(meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),meet(X0,join(complement(X_14),complement(X_15)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
meet(X0,join(complement(X_14),complement(X_15))) = meet(X0,complement(meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(X_15)),complement(meet(X_14,X_15))) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
( meet(X0,join(complement(X_14),complement(X_15))) != complement(join(complement(X0),meet(X_14,X_15)))
| meet(X0,join(complement(X_14),complement(X_15))) != meet(X0,complement(meet(X_14,X_15)))
| meet(X0,complement(meet(X_14,X_15))) = complement(join(complement(X0),meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),complement(join(complement(X0),meet(X_14,X_15)))) ),[0],$fot(meet(X0,complement(meet(X_14,X_15))))]]) ).
cnf(refute_0_191,plain,
( meet(X0,join(complement(X_14),complement(X_15))) != complement(join(complement(X0),meet(X_14,X_15)))
| meet(X0,complement(meet(X_14,X_15))) = complement(join(complement(X0),meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),meet(X0,complement(meet(X_14,X_15)))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
meet(X0,complement(meet(X_14,X_15))) = complement(join(complement(X0),meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),complement(join(complement(X0),meet(X_14,X_15)))) )],[refute_0_10,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(X_178,complement(meet(top,X_180))) = complement(join(complement(X_178),meet(top,X_180))),
inference(subst,[],[refute_0_192:[bind(X0,$fot(X_178)),bind(X_14,$fot(top)),bind(X_15,$fot(X_180))]]) ).
cnf(refute_0_194,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(top))]]) ).
cnf(refute_0_195,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_196,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_195]) ).
cnf(refute_0_197,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(complement(X1)))]]) ).
cnf(refute_0_199,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_200,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_201,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( complement(join(zero,complement(X1))) != complement(complement(X1))
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_204,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
meet(top,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_197,refute_0_204]) ).
cnf(refute_0_206,plain,
join(zero,complement(complement(X_83))) = complement(complement(X_83)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(complement(complement(X_83))))]]) ).
cnf(refute_0_207,plain,
( X_83 != join(zero,complement(complement(X_83)))
| join(zero,complement(complement(X_83))) != complement(complement(X_83))
| X_83 = complement(complement(X_83)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,complement(complement(X_83))) ),[0],$fot(join(zero,complement(complement(X_83))))]]) ).
cnf(refute_0_208,plain,
( X_83 != join(zero,complement(complement(X_83)))
| X_83 = complement(complement(X_83)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_83))),complement(complement(X_83))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
X_83 = complement(complement(X_83)),
inference(resolve,[$cnf( $equal(X_83,join(zero,complement(complement(X_83)))) )],[refute_0_118,refute_0_208]) ).
cnf(refute_0_210,plain,
( X_83 != complement(complement(X_83))
| complement(complement(X_83)) = X_83 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_83)),bind(Y,$fot(complement(complement(X_83))))]]) ).
cnf(refute_0_211,plain,
complement(complement(X_83)) = X_83,
inference(resolve,[$cnf( $equal(X_83,complement(complement(X_83))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X1))]]) ).
cnf(refute_0_213,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_214,plain,
( meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_205,refute_0_214]) ).
cnf(refute_0_216,plain,
meet(top,X_180) = X_180,
inference(subst,[],[refute_0_215:[bind(X1,$fot(X_180))]]) ).
cnf(refute_0_217,plain,
( meet(X_178,complement(meet(top,X_180))) != complement(join(complement(X_178),meet(top,X_180)))
| meet(top,X_180) != X_180
| meet(X_178,complement(meet(top,X_180))) = complement(join(complement(X_178),X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),complement(join(complement(X_178),meet(top,X_180)))) ),[1,0,1],$fot(X_180)]]) ).
cnf(refute_0_218,plain,
( meet(X_178,complement(meet(top,X_180))) != complement(join(complement(X_178),meet(top,X_180)))
| meet(X_178,complement(meet(top,X_180))) = complement(join(complement(X_178),X_180)) ),
inference(resolve,[$cnf( $equal(meet(top,X_180),X_180) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
meet(X_178,complement(meet(top,X_180))) = complement(join(complement(X_178),X_180)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),complement(join(complement(X_178),meet(top,X_180)))) )],[refute_0_193,refute_0_218]) ).
cnf(refute_0_220,plain,
complement(meet(top,X_180)) = complement(meet(top,X_180)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_180)))]]) ).
cnf(refute_0_221,plain,
( complement(meet(top,X_180)) != complement(meet(top,X_180))
| meet(top,X_180) != X_180
| complement(meet(top,X_180)) = complement(X_180) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_180)),complement(meet(top,X_180))) ),[1,0],$fot(X_180)]]) ).
cnf(refute_0_222,plain,
( meet(top,X_180) != X_180
| complement(meet(top,X_180)) = complement(X_180) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_180)),complement(meet(top,X_180))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
complement(meet(top,X_180)) = complement(X_180),
inference(resolve,[$cnf( $equal(meet(top,X_180),X_180) )],[refute_0_216,refute_0_222]) ).
cnf(refute_0_224,plain,
meet(X_178,complement(meet(top,X_180))) = meet(X_178,complement(meet(top,X_180))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(meet(top,X_180))))]]) ).
cnf(refute_0_225,plain,
( complement(meet(top,X_180)) != complement(X_180)
| meet(X_178,complement(meet(top,X_180))) != meet(X_178,complement(meet(top,X_180)))
| meet(X_178,complement(meet(top,X_180))) = meet(X_178,complement(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),meet(X_178,complement(meet(top,X_180)))) ),[1,1],$fot(complement(X_180))]]) ).
cnf(refute_0_226,plain,
( complement(meet(top,X_180)) != complement(X_180)
| meet(X_178,complement(meet(top,X_180))) = meet(X_178,complement(X_180)) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),meet(X_178,complement(meet(top,X_180)))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
meet(X_178,complement(meet(top,X_180))) = meet(X_178,complement(X_180)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_180)),complement(X_180)) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
( meet(X_178,complement(meet(top,X_180))) != complement(join(complement(X_178),X_180))
| meet(X_178,complement(meet(top,X_180))) != meet(X_178,complement(X_180))
| meet(X_178,complement(X_180)) = complement(join(complement(X_178),X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),complement(join(complement(X_178),X_180))) ),[0],$fot(meet(X_178,complement(X_180)))]]) ).
cnf(refute_0_229,plain,
( meet(X_178,complement(meet(top,X_180))) != complement(join(complement(X_178),X_180))
| meet(X_178,complement(X_180)) = complement(join(complement(X_178),X_180)) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),meet(X_178,complement(X_180))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(X_178,complement(X_180)) = complement(join(complement(X_178),X_180)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(top,X_180))),complement(join(complement(X_178),X_180))) )],[refute_0_219,refute_0_229]) ).
cnf(refute_0_231,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(one)),bind(X_180,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_232,plain,
X_83 = join(meet(X_83,complement(X1)),complement(join(complement(X_83),complement(X1)))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_233,plain,
meet(X_83,X1) = complement(join(complement(X_83),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_83))]]) ).
cnf(refute_0_234,plain,
( meet(X_83,X1) != complement(join(complement(X_83),complement(X1)))
| complement(join(complement(X_83),complement(X1))) = meet(X_83,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_83,X1))),bind(Y,$fot(complement(join(complement(X_83),complement(X1)))))]]) ).
cnf(refute_0_235,plain,
complement(join(complement(X_83),complement(X1))) = meet(X_83,X1),
inference(resolve,[$cnf( $equal(meet(X_83,X1),complement(join(complement(X_83),complement(X1)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( X_83 != join(meet(X_83,complement(X1)),complement(join(complement(X_83),complement(X1))))
| complement(join(complement(X_83),complement(X1))) != meet(X_83,X1)
| X_83 = join(meet(X_83,complement(X1)),meet(X_83,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,complement(X1)),complement(join(complement(X_83),complement(X1))))) ),[1,1],$fot(meet(X_83,X1))]]) ).
cnf(refute_0_237,plain,
( X_83 != join(meet(X_83,complement(X1)),complement(join(complement(X_83),complement(X1))))
| X_83 = join(meet(X_83,complement(X1)),meet(X_83,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_83),complement(X1))),meet(X_83,X1)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
X_83 = join(meet(X_83,complement(X1)),meet(X_83,X1)),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,complement(X1)),complement(join(complement(X_83),complement(X1))))) )],[refute_0_232,refute_0_237]) ).
cnf(refute_0_239,plain,
join(meet(X_83,complement(X1)),meet(X_83,X1)) = join(meet(X_83,X1),meet(X_83,complement(X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(meet(X_83,X1))),bind(X1,$fot(meet(X_83,complement(X1))))]]) ).
cnf(refute_0_240,plain,
( X_83 != join(meet(X_83,complement(X1)),meet(X_83,X1))
| join(meet(X_83,complement(X1)),meet(X_83,X1)) != join(meet(X_83,X1),meet(X_83,complement(X1)))
| X_83 = join(meet(X_83,X1),meet(X_83,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(meet(X_83,X1),meet(X_83,complement(X1)))) ),[0],$fot(join(meet(X_83,complement(X1)),meet(X_83,X1)))]]) ).
cnf(refute_0_241,plain,
( X_83 != join(meet(X_83,complement(X1)),meet(X_83,X1))
| X_83 = join(meet(X_83,X1),meet(X_83,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,complement(X1)),meet(X_83,X1)),join(meet(X_83,X1),meet(X_83,complement(X1)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
X_83 = join(meet(X_83,X1),meet(X_83,complement(X1))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,complement(X1)),meet(X_83,X1))) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
X_97 = join(meet(X_97,X_96),meet(X_97,complement(X_96))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(X_96)),bind(X_83,$fot(X_97))]]) ).
cnf(refute_0_244,plain,
join(complement(X_15),complement(X_14)) = join(complement(X_14),complement(X_15)),
inference(subst,[],[refute_0_12:[bind(X0,$fot(complement(X_15))),bind(X1,$fot(complement(X_14)))]]) ).
cnf(refute_0_245,plain,
( join(complement(X_15),complement(X_14)) != join(complement(X_14),complement(X_15))
| join(complement(X_14),complement(X_15)) = join(complement(X_15),complement(X_14)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(X_15),complement(X_14)))),bind(Y,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_246,plain,
join(complement(X_14),complement(X_15)) = join(complement(X_15),complement(X_14)),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(X_14)),join(complement(X_14),complement(X_15))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( join(complement(X_14),complement(X_15)) != join(complement(X_15),complement(X_14))
| meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) ),[1,0],$fot(join(complement(X_15),complement(X_14)))]]) ).
cnf(refute_0_248,plain,
( meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(X_15)),join(complement(X_15),complement(X_14))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) )],[refute_0_2,refute_0_248]) ).
cnf(refute_0_250,plain,
complement(join(complement(X_15),complement(X_14))) = meet(X_15,X_14),
inference(subst,[],[refute_0_21:[bind(X0,$fot(X_15)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_251,plain,
( complement(join(complement(X_15),complement(X_14))) != meet(X_15,X_14)
| meet(X_14,X_15) != complement(join(complement(X_15),complement(X_14)))
| meet(X_14,X_15) = meet(X_15,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_15),complement(X_14)))) ),[1],$fot(meet(X_15,X_14))]]) ).
cnf(refute_0_252,plain,
( meet(X_14,X_15) != complement(join(complement(X_15),complement(X_14)))
| meet(X_14,X_15) = meet(X_15,X_14) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_14))),meet(X_15,X_14)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
meet(X_14,X_15) = meet(X_15,X_14),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_15),complement(X_14)))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
meet(complement(X_96),X_97) = meet(X_97,complement(X_96)),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(complement(X_96))),bind(X_15,$fot(X_97))]]) ).
cnf(refute_0_255,plain,
( meet(complement(X_96),X_97) != meet(X_97,complement(X_96))
| meet(X_97,complement(X_96)) = meet(complement(X_96),X_97) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(complement(X_96),X_97))),bind(Y,$fot(meet(X_97,complement(X_96))))]]) ).
cnf(refute_0_256,plain,
meet(X_97,complement(X_96)) = meet(complement(X_96),X_97),
inference(resolve,[$cnf( $equal(meet(complement(X_96),X_97),meet(X_97,complement(X_96))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
( X_97 != join(meet(X_97,X_96),meet(X_97,complement(X_96)))
| meet(X_97,complement(X_96)) != meet(complement(X_96),X_97)
| X_97 = join(meet(X_97,X_96),meet(complement(X_96),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,X_96),meet(X_97,complement(X_96)))) ),[1,1],$fot(meet(complement(X_96),X_97))]]) ).
cnf(refute_0_258,plain,
( X_97 != join(meet(X_97,X_96),meet(X_97,complement(X_96)))
| X_97 = join(meet(X_97,X_96),meet(complement(X_96),X_97)) ),
inference(resolve,[$cnf( $equal(meet(X_97,complement(X_96)),meet(complement(X_96),X_97)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
X_97 = join(meet(X_97,X_96),meet(complement(X_96),X_97)),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,X_96),meet(X_97,complement(X_96)))) )],[refute_0_243,refute_0_258]) ).
cnf(refute_0_260,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(one)),bind(X_97,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_261,plain,
X_83 = join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(join(complement(X_83),join(complement(X_15),meet(X_83,X_15))))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83)),bind(X1,$fot(join(complement(X_15),meet(X_83,X_15))))]]) ).
cnf(refute_0_262,plain,
top = join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15)))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_263,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| top != join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) ),[1,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_264,plain,
( top != join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_7,refute_0_263]) ).
cnf(refute_0_265,plain,
top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) )],[refute_0_262,refute_0_264]) ).
cnf(refute_0_266,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_267,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_123,refute_0_266]) ).
cnf(refute_0_268,plain,
join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(complement(X_14))),bind(X1,$fot(complement(X_15))),bind(X2,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_269,plain,
( join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))
| top != join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) ),[1],$fot(join(complement(X_14),join(complement(X_15),meet(X_14,X_15))))]]) ).
cnf(refute_0_270,plain,
( top != join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) )],[refute_0_265,refute_0_270]) ).
cnf(refute_0_272,plain,
top = join(complement(X_83),join(complement(X_15),meet(X_83,X_15))),
inference(subst,[],[refute_0_271:[bind(X_14,$fot(X_83))]]) ).
cnf(refute_0_273,plain,
( top != join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))
| join(complement(X_83),join(complement(X_15),meet(X_83,X_15))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))))]]) ).
cnf(refute_0_274,plain,
join(complement(X_83),join(complement(X_15),meet(X_83,X_15))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
( X_83 != join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))))
| join(complement(X_83),join(complement(X_15),meet(X_83,X_15))) != top
| X_83 = join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_276,plain,
( X_83 != join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))))
| X_83 = join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),join(complement(X_15),meet(X_83,X_15))),top) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
X_83 = join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(join(complement(X_83),join(complement(X_15),meet(X_83,X_15)))))) )],[refute_0_261,refute_0_276]) ).
cnf(refute_0_278,plain,
join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) = join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))))]]) ).
cnf(refute_0_279,plain,
( complement(top) != zero
| join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) != join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))),join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_280,plain,
( complement(top) != zero
| join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))),join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15))))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_280]) ).
cnf(refute_0_282,plain,
join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) = join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_83,join(complement(X_15),meet(X_83,X_15)))))]]) ).
cnf(refute_0_283,plain,
( join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) != join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) != join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))))),bind(Z,$fot(join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))))]]) ).
cnf(refute_0_284,plain,
( join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) != join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)),join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_83,join(complement(X_15),meet(X_83,X_15)))),join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
( X_83 != join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top))
| join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)) != join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| X_83 = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))) ),[0],$fot(join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)))]]) ).
cnf(refute_0_287,plain,
( X_83 != join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top))
| X_83 = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top)),join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
X_83 = join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,join(complement(X_15),meet(X_83,X_15))),complement(top))) )],[refute_0_277,refute_0_287]) ).
cnf(refute_0_289,plain,
join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) = meet(X_83,join(complement(X_15),meet(X_83,X_15))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_83,join(complement(X_15),meet(X_83,X_15)))))]]) ).
cnf(refute_0_290,plain,
( X_83 != join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) != meet(X_83,join(complement(X_15),meet(X_83,X_15)))
| X_83 = meet(X_83,join(complement(X_15),meet(X_83,X_15))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,meet(X_83,join(complement(X_15),meet(X_83,X_15)))) ),[0],$fot(join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))))]]) ).
cnf(refute_0_291,plain,
( X_83 != join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))
| X_83 = meet(X_83,join(complement(X_15),meet(X_83,X_15))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15)))),meet(X_83,join(complement(X_15),meet(X_83,X_15)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
X_83 = meet(X_83,join(complement(X_15),meet(X_83,X_15))),
inference(resolve,[$cnf( $equal(X_83,join(zero,meet(X_83,join(complement(X_15),meet(X_83,X_15))))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_292:[bind(X_15,$fot(converse(skolemFOFtoCNF_X0))),bind(X_83,$fot(complement(one)))]]) ).
cnf(refute_0_294,plain,
meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = complement(join(complement(X_178),meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),
inference(subst,[],[refute_0_192:[bind(X0,$fot(X_178)),bind(X_14,$fot(one)),bind(X_15,$fot(complement(meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_295,plain,
meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = complement(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_296,plain,
X_83 = join(meet(X_83,X_84),complement(join(complement(X_83),X_84))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83)),bind(X1,$fot(X_84))]]) ).
cnf(refute_0_297,plain,
join(X_84,complement(X_83)) = join(complement(X_83),X_84),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_84)),bind(X1,$fot(complement(X_83)))]]) ).
cnf(refute_0_298,plain,
( join(X_84,complement(X_83)) != join(complement(X_83),X_84)
| join(complement(X_83),X_84) = join(X_84,complement(X_83)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_84,complement(X_83)))),bind(Y,$fot(join(complement(X_83),X_84)))]]) ).
cnf(refute_0_299,plain,
join(complement(X_83),X_84) = join(X_84,complement(X_83)),
inference(resolve,[$cnf( $equal(join(X_84,complement(X_83)),join(complement(X_83),X_84)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
( X_83 != join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))
| join(complement(X_83),X_84) != join(X_84,complement(X_83))
| X_83 = join(meet(X_83,X_84),complement(join(X_84,complement(X_83)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))) ),[1,1,0],$fot(join(X_84,complement(X_83)))]]) ).
cnf(refute_0_301,plain,
( X_83 != join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))
| X_83 = join(meet(X_83,X_84),complement(join(X_84,complement(X_83)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),X_84),join(X_84,complement(X_83))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
X_83 = join(meet(X_83,X_84),complement(join(X_84,complement(X_83)))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))) )],[refute_0_296,refute_0_301]) ).
cnf(refute_0_303,plain,
complement(one) = join(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(complement(one))),bind(X_84,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_304,plain,
complement(one) = meet(complement(one),join(complement(converse(complement(one))),meet(complement(one),converse(complement(one))))),
inference(subst,[],[refute_0_292:[bind(X_15,$fot(converse(complement(one)))),bind(X_83,$fot(complement(one)))]]) ).
cnf(refute_0_305,plain,
X_83 = join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(join(complement(X_83),converse(complement(converse(complement(X_83))))))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83)),bind(X1,$fot(converse(complement(converse(complement(X_83))))))]]) ).
cnf(refute_0_306,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_307,plain,
converse(join(converse(X0),X_20)) = join(converse(converse(X0)),converse(X_20)),
inference(subst,[],[refute_0_306:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_308,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_20)) != join(converse(converse(X0)),converse(X_20))
| converse(join(converse(X0),X_20)) = join(X0,converse(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_20)),join(converse(converse(X0)),converse(X_20))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_309,plain,
( converse(join(converse(X0),X_20)) != join(converse(converse(X0)),converse(X_20))
| converse(join(converse(X0),X_20)) = join(X0,converse(X_20)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_308]) ).
cnf(refute_0_310,plain,
converse(join(converse(X0),X_20)) = join(X0,converse(X_20)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_20)),join(converse(converse(X0)),converse(X_20))) )],[refute_0_307,refute_0_309]) ).
cnf(refute_0_311,plain,
converse(join(converse(X_68),complement(converse(X_68)))) = join(X_68,converse(complement(converse(X_68)))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(X_68)),bind(X_20,$fot(complement(converse(X_68))))]]) ).
cnf(refute_0_312,plain,
top = join(converse(X_68),complement(converse(X_68))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(converse(X_68)))]]) ).
cnf(refute_0_313,plain,
( top != join(converse(X_68),complement(converse(X_68)))
| join(converse(X_68),complement(converse(X_68))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_68),complement(converse(X_68)))))]]) ).
cnf(refute_0_314,plain,
join(converse(X_68),complement(converse(X_68))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_68),complement(converse(X_68)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( converse(join(converse(X_68),complement(converse(X_68)))) != join(X_68,converse(complement(converse(X_68))))
| join(converse(X_68),complement(converse(X_68))) != top
| converse(top) = join(X_68,converse(complement(converse(X_68)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_68),complement(converse(X_68)))),join(X_68,converse(complement(converse(X_68))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_316,plain,
( converse(join(converse(X_68),complement(converse(X_68)))) != join(X_68,converse(complement(converse(X_68))))
| converse(top) = join(X_68,converse(complement(converse(X_68)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_68),complement(converse(X_68))),top) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
converse(top) = join(X_68,converse(complement(converse(X_68)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),complement(converse(X_68)))),join(X_68,converse(complement(converse(X_68))))) )],[refute_0_311,refute_0_316]) ).
cnf(refute_0_318,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,complement(skolemFOFtoCNF_X0)),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(one)),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_319,plain,
join(one,join(skolemFOFtoCNF_X0,X_27)) = join(join(one,skolemFOFtoCNF_X0),X_27),
inference(subst,[],[refute_0_123:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_320,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_321,plain,
join(skolemFOFtoCNF_X0,one) = join(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_14:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_322,plain,
( join(skolemFOFtoCNF_X0,one) != join(one,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) ),[0],$fot(join(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_323,plain,
( join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),join(one,skolemFOFtoCNF_X0)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
join(one,skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
( join(one,join(skolemFOFtoCNF_X0,X_27)) != join(join(one,skolemFOFtoCNF_X0),X_27)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,join(skolemFOFtoCNF_X0,X_27)) = join(one,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_27)),join(join(one,skolemFOFtoCNF_X0),X_27)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_326,plain,
( join(one,join(skolemFOFtoCNF_X0,X_27)) != join(join(one,skolemFOFtoCNF_X0),X_27)
| join(one,join(skolemFOFtoCNF_X0,X_27)) = join(one,X_27) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
join(one,join(skolemFOFtoCNF_X0,X_27)) = join(one,X_27),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_27)),join(join(one,skolemFOFtoCNF_X0),X_27)) )],[refute_0_319,refute_0_326]) ).
cnf(refute_0_328,plain,
join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_329,plain,
top = join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_130:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_330,plain,
( top != join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_331,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_333,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
join(one,top) = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_328,refute_0_333]) ).
cnf(refute_0_335,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = join(one,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_336,plain,
join(one,complement(skolemFOFtoCNF_X0)) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != join(one,top)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,complement(skolemFOFtoCNF_X0)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,complement(skolemFOFtoCNF_X0)),X2)) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_338,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,complement(skolemFOFtoCNF_X0)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,top),X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),join(one,top)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,top),X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,complement(skolemFOFtoCNF_X0)),X2)) )],[refute_0_318,refute_0_338]) ).
cnf(refute_0_340,plain,
join(join(one,top),X2) = join(one,join(top,X2)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(one)),bind(X1,$fot(top))]]) ).
cnf(refute_0_341,plain,
( join(join(one,top),X2) != join(one,join(top,X2))
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,top),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(one,join(top,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,top),X2)) ),[1],$fot(join(one,join(top,X2)))]]) ).
cnf(refute_0_342,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,top),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(one,join(top,X2)) ),
inference(resolve,[$cnf( $equal(join(join(one,top),X2),join(one,join(top,X2))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(one,join(top,X2)),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,top),X2)) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
join(X_25,join(complement(X_25),X_27)) = join(join(X_25,complement(X_25)),X_27),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X_25)),bind(X1,$fot(complement(X_25))),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_345,plain,
top = join(X_25,complement(X_25)),
inference(subst,[],[refute_0_130:[bind(X0,$fot(X_25))]]) ).
cnf(refute_0_346,plain,
( top != join(X_25,complement(X_25))
| join(X_25,complement(X_25)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_25,complement(X_25))))]]) ).
cnf(refute_0_347,plain,
join(X_25,complement(X_25)) = top,
inference(resolve,[$cnf( $equal(top,join(X_25,complement(X_25))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
( join(X_25,complement(X_25)) != top
| join(X_25,join(complement(X_25),X_27)) != join(join(X_25,complement(X_25)),X_27)
| join(X_25,join(complement(X_25),X_27)) = join(top,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(complement(X_25),X_27)),join(join(X_25,complement(X_25)),X_27)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_349,plain,
( join(X_25,join(complement(X_25),X_27)) != join(join(X_25,complement(X_25)),X_27)
| join(X_25,join(complement(X_25),X_27)) = join(top,X_27) ),
inference(resolve,[$cnf( $equal(join(X_25,complement(X_25)),top) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
join(X_25,join(complement(X_25),X_27)) = join(top,X_27),
inference(resolve,[$cnf( $equal(join(X_25,join(complement(X_25),X_27)),join(join(X_25,complement(X_25)),X_27)) )],[refute_0_344,refute_0_349]) ).
cnf(refute_0_351,plain,
join(X_33,join(complement(X_33),complement(complement(X_33)))) = join(top,complement(complement(X_33))),
inference(subst,[],[refute_0_350:[bind(X_25,$fot(X_33)),bind(X_27,$fot(complement(complement(X_33))))]]) ).
cnf(refute_0_352,plain,
top = join(complement(X_33),complement(complement(X_33))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(complement(X_33)))]]) ).
cnf(refute_0_353,plain,
( top != join(complement(X_33),complement(complement(X_33)))
| join(complement(X_33),complement(complement(X_33))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_33),complement(complement(X_33)))))]]) ).
cnf(refute_0_354,plain,
join(complement(X_33),complement(complement(X_33))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_33),complement(complement(X_33)))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
( join(X_33,join(complement(X_33),complement(complement(X_33)))) != join(top,complement(complement(X_33)))
| join(complement(X_33),complement(complement(X_33))) != top
| join(X_33,top) = join(top,complement(complement(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_33,join(complement(X_33),complement(complement(X_33)))),join(top,complement(complement(X_33)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_356,plain,
( join(X_33,join(complement(X_33),complement(complement(X_33)))) != join(top,complement(complement(X_33)))
| join(X_33,top) = join(top,complement(complement(X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),complement(complement(X_33))),top) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
join(X_33,top) = join(top,complement(complement(X_33))),
inference(resolve,[$cnf( $equal(join(X_33,join(complement(X_33),complement(complement(X_33)))),join(top,complement(complement(X_33)))) )],[refute_0_351,refute_0_356]) ).
cnf(refute_0_358,plain,
join(X_25,join(complement(X_25),complement(X_25))) = join(top,complement(X_25)),
inference(subst,[],[refute_0_350:[bind(X_27,$fot(complement(X_25)))]]) ).
cnf(refute_0_359,plain,
join(complement(X_25),complement(X_25)) = complement(X_25),
inference(subst,[],[refute_0_95:[bind(X_37,$fot(X_25))]]) ).
cnf(refute_0_360,plain,
( join(X_25,join(complement(X_25),complement(X_25))) != join(top,complement(X_25))
| join(complement(X_25),complement(X_25)) != complement(X_25)
| join(X_25,complement(X_25)) = join(top,complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(complement(X_25),complement(X_25))),join(top,complement(X_25))) ),[0,1],$fot(complement(X_25))]]) ).
cnf(refute_0_361,plain,
( join(X_25,join(complement(X_25),complement(X_25))) != join(top,complement(X_25))
| join(X_25,complement(X_25)) = join(top,complement(X_25)) ),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(X_25)),complement(X_25)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
join(X_25,complement(X_25)) = join(top,complement(X_25)),
inference(resolve,[$cnf( $equal(join(X_25,join(complement(X_25),complement(X_25))),join(top,complement(X_25))) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( join(X_25,complement(X_25)) != join(top,complement(X_25))
| join(X_25,complement(X_25)) != top
| top = join(top,complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,complement(X_25)),join(top,complement(X_25))) ),[0],$fot(top)]]) ).
cnf(refute_0_364,plain,
( join(X_25,complement(X_25)) != join(top,complement(X_25))
| top = join(top,complement(X_25)) ),
inference(resolve,[$cnf( $equal(join(X_25,complement(X_25)),top) )],[refute_0_347,refute_0_363]) ).
cnf(refute_0_365,plain,
top = join(top,complement(X_25)),
inference(resolve,[$cnf( $equal(join(X_25,complement(X_25)),join(top,complement(X_25))) )],[refute_0_362,refute_0_364]) ).
cnf(refute_0_366,plain,
( top != join(top,complement(X_25))
| join(top,complement(X_25)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_25))))]]) ).
cnf(refute_0_367,plain,
join(top,complement(X_25)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_25))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
join(top,complement(complement(X_33))) = top,
inference(subst,[],[refute_0_367:[bind(X_25,$fot(complement(X_33)))]]) ).
cnf(refute_0_369,plain,
( join(X_33,top) != join(top,complement(complement(X_33)))
| join(top,complement(complement(X_33))) != top
| join(X_33,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_33,top),top) ),[0],$fot(join(top,complement(complement(X_33))))]]) ).
cnf(refute_0_370,plain,
( join(X_33,top) != join(top,complement(complement(X_33)))
| join(X_33,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_33))),top) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
join(X_33,top) = top,
inference(resolve,[$cnf( $equal(join(X_33,top),join(top,complement(complement(X_33)))) )],[refute_0_357,refute_0_370]) ).
cnf(refute_0_372,plain,
join(one,top) = top,
inference(subst,[],[refute_0_371:[bind(X_33,$fot(one))]]) ).
cnf(refute_0_373,plain,
join(X_25,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) = join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X_25)),bind(X1,$fot(meet(top,top))),bind(X2,$fot(join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_374,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(meet(top,top),meet(top,join(zero,zero))))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_375,plain,
top = join(join(zero,meet(top,top)),complement(join(zero,meet(top,top)))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(join(zero,meet(top,top))))]]) ).
cnf(refute_0_376,plain,
meet(top,join(zero,zero)) = complement(join(zero,complement(join(zero,zero)))),
inference(subst,[],[refute_0_197:[bind(X1,$fot(join(zero,zero)))]]) ).
cnf(refute_0_377,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_197:[bind(X1,$fot(top))]]) ).
cnf(refute_0_378,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_379,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_378]) ).
cnf(refute_0_380,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_377,refute_0_379]) ).
cnf(refute_0_381,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_382,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
( complement(join(zero,zero)) != meet(top,top)
| meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
| meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) ),[1,0,1],$fot(meet(top,top))]]) ).
cnf(refute_0_384,plain,
( meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
| meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) )],[refute_0_376,refute_0_384]) ).
cnf(refute_0_386,plain,
( meet(top,join(zero,zero)) != complement(join(zero,meet(top,top)))
| complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(complement(join(zero,meet(top,top)))))]]) ).
cnf(refute_0_387,plain,
complement(join(zero,meet(top,top))) = meet(top,join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,meet(top,top)))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
( complement(join(zero,meet(top,top))) != meet(top,join(zero,zero))
| top != join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))
| top = join(join(zero,meet(top,top)),meet(top,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))) ),[1,1],$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_0_389,plain,
( top != join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))
| top = join(join(zero,meet(top,top)),meet(top,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),meet(top,join(zero,zero))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
top = join(join(zero,meet(top,top)),meet(top,join(zero,zero))),
inference(resolve,[$cnf( $equal(top,join(join(zero,meet(top,top)),complement(join(zero,meet(top,top))))) )],[refute_0_375,refute_0_389]) ).
cnf(refute_0_391,plain,
join(join(zero,meet(top,top)),meet(top,join(zero,zero))) = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,top))),bind(X2,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_0_392,plain,
( join(join(zero,meet(top,top)),meet(top,join(zero,zero))) != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| top != join(join(zero,meet(top,top)),meet(top,join(zero,zero)))
| top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,meet(top,top)),meet(top,join(zero,zero)))) ),[1],$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_393,plain,
( top != join(join(zero,meet(top,top)),meet(top,join(zero,zero)))
| top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(join(zero,meet(top,top)),meet(top,join(zero,zero))),join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(join(zero,meet(top,top)),meet(top,join(zero,zero)))) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
( top != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| join(zero,join(meet(top,top),meet(top,join(zero,zero)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero))))))]]) ).
cnf(refute_0_396,plain,
join(zero,join(meet(top,top),meet(top,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| join(zero,join(meet(top,top),meet(top,join(zero,zero)))) != top
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),top) ),[0],$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_398,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),meet(top,join(zero,zero)))),top) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = top,
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_0_374,refute_0_398]) ).
cnf(refute_0_400,plain,
join(meet(top,join(zero,zero)),zero) = join(zero,meet(top,join(zero,zero))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_0_401,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(meet(top,join(zero,zero)),zero)),
introduced(tautology,[refl,[$fot(join(meet(top,top),join(meet(top,join(zero,zero)),zero)))]]) ).
cnf(refute_0_402,plain,
( join(meet(top,join(zero,zero)),zero) != join(zero,meet(top,join(zero,zero)))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) != join(meet(top,top),join(meet(top,join(zero,zero)),zero))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),zero)),join(meet(top,top),join(meet(top,join(zero,zero)),zero))) ),[1,1],$fot(join(zero,meet(top,join(zero,zero))))]]) ).
cnf(refute_0_403,plain,
( join(meet(top,join(zero,zero)),zero) != join(zero,meet(top,join(zero,zero)))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),zero)),join(meet(top,top),join(meet(top,join(zero,zero)),zero))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),zero),join(zero,meet(top,join(zero,zero)))) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(meet(top,join(zero,zero)),zero)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(meet(top,top))),bind(X1,$fot(meet(top,join(zero,zero)))),bind(X2,$fot(zero))]]) ).
cnf(refute_0_406,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(meet(top,top),join(meet(top,join(zero,zero)),zero))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(meet(top,top),meet(top,join(zero,zero))),zero))),bind(Y,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),zero)))),bind(Z,$fot(join(meet(top,top),join(zero,meet(top,join(zero,zero))))))]]) ).
cnf(refute_0_407,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),zero)) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),join(meet(top,top),join(meet(top,join(zero,zero)),zero))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),zero)),join(meet(top,top),join(zero,meet(top,join(zero,zero))))) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) != top
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),top) ),[0],$fot(join(meet(top,top),join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_410,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != top
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top ),
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),join(meet(top,top),join(zero,meet(top,join(zero,zero))))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),top) )],[refute_0_399,refute_0_410]) ).
cnf(refute_0_412,plain,
( join(X_25,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) != join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) != top
| join(X_25,top) = join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(meet(top,top),join(zero,meet(top,join(zero,zero))))),join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_413,plain,
( join(X_25,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) != join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(X_25,top) = join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(zero,meet(top,join(zero,zero)))),top) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
join(X_25,top) = join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(X_25,join(meet(top,top),join(zero,meet(top,join(zero,zero))))),join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))) )],[refute_0_373,refute_0_413]) ).
cnf(refute_0_415,plain,
join(X0,join(X_25,X_26)) = join(join(X_25,X_26),X0),
inference(subst,[],[refute_0_12:[bind(X1,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_416,plain,
join(X_25,join(X_26,X0)) = join(join(X_25,X_26),X0),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_417,plain,
( join(X_25,join(X_26,X0)) != join(join(X_25,X_26),X0)
| join(join(X_25,X_26),X0) = join(X_25,join(X_26,X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(X_26,X0)))),bind(Y,$fot(join(join(X_25,X_26),X0)))]]) ).
cnf(refute_0_418,plain,
join(join(X_25,X_26),X0) = join(X_25,join(X_26,X0)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X0)),join(join(X_25,X_26),X0)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
( join(X0,join(X_25,X_26)) != join(join(X_25,X_26),X0)
| join(join(X_25,X_26),X0) != join(X_25,join(X_26,X0))
| join(X0,join(X_25,X_26)) = join(X_25,join(X_26,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_25,X_26)),join(X_25,join(X_26,X0))) ),[0],$fot(join(join(X_25,X_26),X0))]]) ).
cnf(refute_0_420,plain,
( join(X0,join(X_25,X_26)) != join(join(X_25,X_26),X0)
| join(X0,join(X_25,X_26)) = join(X_25,join(X_26,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X0),join(X_25,join(X_26,X0))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
join(X0,join(X_25,X_26)) = join(X_25,join(X_26,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_25,X_26)),join(join(X_25,X_26),X0)) )],[refute_0_415,refute_0_420]) ).
cnf(refute_0_422,plain,
( join(X0,join(X_25,X_26)) != join(X_25,join(X_26,X0))
| join(X_25,join(X_26,X0)) = join(X0,join(X_25,X_26)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X_25,X_26)))),bind(Y,$fot(join(X_25,join(X_26,X0))))]]) ).
cnf(refute_0_423,plain,
join(X_25,join(X_26,X0)) = join(X0,join(X_25,X_26)),
inference(resolve,[$cnf( $equal(join(X0,join(X_25,X_26)),join(X_25,join(X_26,X0))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
join(meet(top,join(zero,zero)),join(X_25,meet(top,top))) = join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),
inference(subst,[],[refute_0_423:[bind(X0,$fot(meet(top,top))),bind(X_25,$fot(meet(top,join(zero,zero)))),bind(X_26,$fot(X_25))]]) ).
cnf(refute_0_425,plain,
join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) = join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))))]]) ).
cnf(refute_0_426,plain,
( join(meet(top,join(zero,zero)),join(X_25,meet(top,top))) != join(meet(top,top),join(meet(top,join(zero,zero)),X_25))
| join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) != join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top))))
| join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))),join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top))))) ),[1,1],$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))]]) ).
cnf(refute_0_427,plain,
( join(meet(top,join(zero,zero)),join(X_25,meet(top,top))) != join(meet(top,top),join(meet(top,join(zero,zero)),X_25))
| join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))),join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top))))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(X_25,meet(top,top))),join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))),
inference(subst,[],[refute_0_421:[bind(X0,$fot(join(X_25,meet(top,top)))),bind(X_25,$fot(zero)),bind(X_26,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_0_430,plain,
( join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) != join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top))))
| join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))))),bind(Y,$fot(join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))))),bind(Z,$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))))]]) ).
cnf(refute_0_431,plain,
( join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
inference(resolve,[$cnf( $equal(join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))),join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top))))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_25,meet(top,top)))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( join(X_25,top) != join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| join(X_25,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) ),[0],$fot(join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_434,plain,
( join(X_25,top) != join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(X_25,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
inference(resolve,[$cnf( $equal(join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero)))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
join(X_25,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),
inference(resolve,[$cnf( $equal(join(X_25,top),join(join(X_25,meet(top,top)),join(zero,meet(top,join(zero,zero))))) )],[refute_0_414,refute_0_434]) ).
cnf(refute_0_436,plain,
join(X_25,top) = top,
inference(subst,[],[refute_0_371:[bind(X_33,$fot(X_25))]]) ).
cnf(refute_0_437,plain,
( join(X_25,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| join(X_25,top) != top
| top = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) ),[0],$fot(top)]]) ).
cnf(refute_0_438,plain,
( join(X_25,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| top = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),
inference(resolve,[$cnf( $equal(join(X_25,top),top) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
join(top,join(zero,X_27)) = join(join(top,zero),X_27),
inference(subst,[],[refute_0_123:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_440,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_130:[bind(X0,$fot(top))]]) ).
cnf(refute_0_441,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_442,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_441]) ).
cnf(refute_0_443,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_440,refute_0_442]) ).
cnf(refute_0_444,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_445,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
( join(top,join(zero,X_27)) != join(join(top,zero),X_27)
| join(top,zero) != top
| join(top,join(zero,X_27)) = join(top,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_27)),join(join(top,zero),X_27)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_447,plain,
( join(top,join(zero,X_27)) != join(join(top,zero),X_27)
| join(top,join(zero,X_27)) = join(top,X_27) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
join(top,join(zero,X_27)) = join(top,X_27),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_27)),join(join(top,zero),X_27)) )],[refute_0_439,refute_0_447]) ).
cnf(refute_0_449,plain,
join(top,join(zero,X_25)) = join(top,X_25),
inference(subst,[],[refute_0_448:[bind(X_27,$fot(X_25))]]) ).
cnf(refute_0_450,plain,
join(X_25,join(X_26,X_27)) = join(join(X_25,X_26),X_27),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26)),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_451,plain,
join(X_26,X_25) = join(X_25,X_26),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_26)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_452,plain,
( join(X_26,X_25) != join(X_25,X_26)
| join(X_25,X_26) = join(X_26,X_25) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_26,X_25))),bind(Y,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_453,plain,
join(X_25,X_26) = join(X_26,X_25),
inference(resolve,[$cnf( $equal(join(X_26,X_25),join(X_25,X_26)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
( join(X_25,X_26) != join(X_26,X_25)
| join(X_25,join(X_26,X_27)) != join(join(X_25,X_26),X_27)
| join(X_25,join(X_26,X_27)) = join(join(X_26,X_25),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(join(X_25,X_26),X_27)) ),[1,0],$fot(join(X_26,X_25))]]) ).
cnf(refute_0_455,plain,
( join(X_25,join(X_26,X_27)) != join(join(X_25,X_26),X_27)
| join(X_25,join(X_26,X_27)) = join(join(X_26,X_25),X_27) ),
inference(resolve,[$cnf( $equal(join(X_25,X_26),join(X_26,X_25)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
join(X_25,join(X_26,X_27)) = join(join(X_26,X_25),X_27),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(join(X_25,X_26),X_27)) )],[refute_0_450,refute_0_455]) ).
cnf(refute_0_457,plain,
join(join(X_26,X_25),X_27) = join(X_26,join(X_25,X_27)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_26)),bind(X1,$fot(X_25)),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_458,plain,
( join(X_25,join(X_26,X_27)) != join(join(X_26,X_25),X_27)
| join(join(X_26,X_25),X_27) != join(X_26,join(X_25,X_27))
| join(X_25,join(X_26,X_27)) = join(X_26,join(X_25,X_27)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(X_26,X_27)),join(X_26,join(X_25,X_27))) ),[0],$fot(join(join(X_26,X_25),X_27))]]) ).
cnf(refute_0_459,plain,
( join(X_25,join(X_26,X_27)) != join(join(X_26,X_25),X_27)
| join(X_25,join(X_26,X_27)) = join(X_26,join(X_25,X_27)) ),
inference(resolve,[$cnf( $equal(join(join(X_26,X_25),X_27),join(X_26,join(X_25,X_27))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(X_25,join(X_26,X_27)) = join(X_26,join(X_25,X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(join(X_26,X_25),X_27)) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( join(X_25,join(X_26,X_27)) != join(X_26,join(X_25,X_27))
| join(X_26,join(X_25,X_27)) = join(X_25,join(X_26,X_27)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(X_26,X_27)))),bind(Y,$fot(join(X_26,join(X_25,X_27))))]]) ).
cnf(refute_0_462,plain,
join(X_26,join(X_25,X_27)) = join(X_25,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(X_26,join(X_25,X_27))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(zero,join(top,X_25)) = join(top,join(zero,X_25)),
inference(subst,[],[refute_0_462:[bind(X_25,$fot(top)),bind(X_26,$fot(zero)),bind(X_27,$fot(X_25))]]) ).
cnf(refute_0_464,plain,
( join(top,join(zero,X_25)) != join(top,X_25)
| join(zero,join(top,X_25)) != join(top,join(zero,X_25))
| join(zero,join(top,X_25)) = join(top,X_25) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,join(top,X_25)))),bind(Y,$fot(join(top,join(zero,X_25)))),bind(Z,$fot(join(top,X_25)))]]) ).
cnf(refute_0_465,plain,
( join(top,join(zero,X_25)) != join(top,X_25)
| join(zero,join(top,X_25)) = join(top,X_25) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_25)),join(top,join(zero,X_25))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
join(zero,join(top,X_25)) = join(top,X_25),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_25)),join(top,X_25)) )],[refute_0_449,refute_0_465]) ).
cnf(refute_0_467,plain,
join(zero,join(complement(zero),X_25)) = join(top,X_25),
inference(subst,[],[refute_0_350:[bind(X_25,$fot(zero)),bind(X_27,$fot(X_25))]]) ).
cnf(refute_0_468,plain,
join(complement(zero),join(zero,X_25)) = join(zero,join(complement(zero),X_25)),
inference(subst,[],[refute_0_462:[bind(X_25,$fot(zero)),bind(X_26,$fot(complement(zero))),bind(X_27,$fot(X_25))]]) ).
cnf(refute_0_469,plain,
( join(complement(zero),join(zero,X_25)) != join(zero,join(complement(zero),X_25))
| join(zero,join(complement(zero),X_25)) != join(top,X_25)
| join(complement(zero),join(zero,X_25)) = join(top,X_25) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(zero),join(zero,X_25)))),bind(Y,$fot(join(zero,join(complement(zero),X_25)))),bind(Z,$fot(join(top,X_25)))]]) ).
cnf(refute_0_470,plain,
( join(zero,join(complement(zero),X_25)) != join(top,X_25)
| join(complement(zero),join(zero,X_25)) = join(top,X_25) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_25)),join(zero,join(complement(zero),X_25))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
join(complement(zero),join(zero,X_25)) = join(top,X_25),
inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),X_25)),join(top,X_25)) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_0_101:[bind(X0,$fot(top))]]) ).
cnf(refute_0_473,plain,
( complement(top) != zero
| zero != meet(top,complement(top))
| zero = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_474,plain,
( zero != meet(top,complement(top))
| zero = meet(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_473]) ).
cnf(refute_0_475,plain,
zero = meet(top,zero),
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_472,refute_0_474]) ).
cnf(refute_0_476,plain,
( zero != meet(top,zero)
| meet(top,zero) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).
cnf(refute_0_477,plain,
meet(top,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
meet(top,join(zero,zero)) = meet(top,join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_0_479,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) != meet(top,join(zero,zero))
| meet(top,join(zero,zero)) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_480,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
meet(top,join(zero,zero)) = meet(top,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_167,refute_0_480]) ).
cnf(refute_0_482,plain,
( meet(top,join(zero,zero)) != meet(top,zero)
| meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_483,plain,
( meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,zero)) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
meet(top,join(zero,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_477,refute_0_483]) ).
cnf(refute_0_485,plain,
join(meet(top,join(zero,zero)),X_25) = join(meet(top,join(zero,zero)),X_25),
introduced(tautology,[refl,[$fot(join(meet(top,join(zero,zero)),X_25))]]) ).
cnf(refute_0_486,plain,
( join(meet(top,join(zero,zero)),X_25) != join(meet(top,join(zero,zero)),X_25)
| meet(top,join(zero,zero)) != zero
| join(meet(top,join(zero,zero)),X_25) = join(zero,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,zero)),X_25),join(meet(top,join(zero,zero)),X_25)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_487,plain,
( meet(top,join(zero,zero)) != zero
| join(meet(top,join(zero,zero)),X_25) = join(zero,X_25) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),X_25),join(meet(top,join(zero,zero)),X_25)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
join(meet(top,join(zero,zero)),X_25) = join(zero,X_25),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
join(complement(zero),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(meet(top,join(zero,zero)),X_25)),
introduced(tautology,[refl,[$fot(join(complement(zero),join(meet(top,join(zero,zero)),X_25)))]]) ).
cnf(refute_0_490,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_25)) != join(complement(zero),join(meet(top,join(zero,zero)),X_25))
| join(meet(top,join(zero,zero)),X_25) != join(zero,X_25)
| join(complement(zero),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(zero,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_25)),join(complement(zero),join(meet(top,join(zero,zero)),X_25))) ),[1,1],$fot(join(zero,X_25))]]) ).
cnf(refute_0_491,plain,
( join(meet(top,join(zero,zero)),X_25) != join(zero,X_25)
| join(complement(zero),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(zero,X_25)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_25)),join(complement(zero),join(meet(top,join(zero,zero)),X_25))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
join(complement(zero),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(zero,X_25)),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),X_25),join(zero,X_25)) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_494,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_495,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_495]) ).
cnf(refute_0_497,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_498,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_95:[bind(X_37,$fot(X1))]]) ).
cnf(refute_0_499,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_500,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_501:[bind(X1,$fot(top))]]) ).
cnf(refute_0_503,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) != complement(complement(top))
| meet(top,top) = complement(zero) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_504,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
meet(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_496,refute_0_504]) ).
cnf(refute_0_506,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),
introduced(tautology,[refl,[$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))]]) ).
cnf(refute_0_507,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) != join(meet(top,top),join(meet(top,join(zero,zero)),X_25))
| meet(top,top) != complement(zero)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(meet(top,join(zero,zero)),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_0_508,plain,
( meet(top,top) != complement(zero)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(meet(top,join(zero,zero)),X_25)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(meet(top,join(zero,zero)),X_25)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_25)) != join(complement(zero),join(zero,X_25))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) != join(complement(zero),join(meet(top,join(zero,zero)),X_25))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(zero,X_25)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))),bind(Y,$fot(join(complement(zero),join(meet(top,join(zero,zero)),X_25)))),bind(Z,$fot(join(complement(zero),join(zero,X_25))))]]) ).
cnf(refute_0_511,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_25)) != join(complement(zero),join(zero,X_25))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(zero,X_25)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),join(complement(zero),join(meet(top,join(zero,zero)),X_25))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(complement(zero),join(zero,X_25)),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_25)),join(complement(zero),join(zero,X_25))) )],[refute_0_492,refute_0_511]) ).
cnf(refute_0_513,plain,
( join(complement(zero),join(zero,X_25)) != join(top,X_25)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) != join(complement(zero),join(zero,X_25))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(top,X_25) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))),bind(Y,$fot(join(complement(zero),join(zero,X_25)))),bind(Z,$fot(join(top,X_25)))]]) ).
cnf(refute_0_514,plain,
( join(complement(zero),join(zero,X_25)) != join(top,X_25)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(top,X_25) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),join(complement(zero),join(zero,X_25))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) = join(top,X_25),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_25)),join(top,X_25)) )],[refute_0_471,refute_0_514]) ).
cnf(refute_0_516,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))))]]) ).
cnf(refute_0_517,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) != join(top,X_25)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(zero,join(top,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) ),[1,1],$fot(join(top,X_25))]]) ).
cnf(refute_0_518,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_25)) != join(top,X_25)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(zero,join(top,X_25)) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(zero,join(top,X_25)),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_25)),join(top,X_25)) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
( join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) != join(zero,join(top,X_25))
| join(zero,join(top,X_25)) != join(top,X_25)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(top,X_25) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))))),bind(Y,$fot(join(zero,join(top,X_25)))),bind(Z,$fot(join(top,X_25)))]]) ).
cnf(refute_0_521,plain,
( join(zero,join(top,X_25)) != join(top,X_25)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(top,X_25) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),join(zero,join(top,X_25))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) = join(top,X_25),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_25)),join(top,X_25)) )],[refute_0_466,refute_0_521]) ).
cnf(refute_0_523,plain,
( join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))) != join(top,X_25)
| top != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| top = join(top,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) ),[1],$fot(join(top,X_25))]]) ).
cnf(refute_0_524,plain,
( top != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| top = join(top,X_25) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25))),join(top,X_25)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
( join(X_25,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))
| top = join(top,X_25) ),
inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) )],[refute_0_438,refute_0_524]) ).
cnf(refute_0_526,plain,
top = join(top,X_25),
inference(resolve,[$cnf( $equal(join(X_25,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_25)))) )],[refute_0_435,refute_0_525]) ).
cnf(refute_0_527,plain,
( top != join(top,X_25)
| join(top,X_25) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_25)))]]) ).
cnf(refute_0_528,plain,
join(top,X_25) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_25)) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
join(top,X2) = top,
inference(subst,[],[refute_0_528:[bind(X_25,$fot(X2))]]) ).
cnf(refute_0_530,plain,
join(one,join(top,X2)) = join(one,join(top,X2)),
introduced(tautology,[refl,[$fot(join(one,join(top,X2)))]]) ).
cnf(refute_0_531,plain,
( join(one,join(top,X2)) != join(one,join(top,X2))
| join(top,X2) != top
| join(one,join(top,X2)) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(top,X2)),join(one,join(top,X2))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_532,plain,
( join(top,X2) != top
| join(one,join(top,X2)) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,join(top,X2)),join(one,join(top,X2))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
join(one,join(top,X2)) = join(one,top),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_0_529,refute_0_532]) ).
cnf(refute_0_534,plain,
( join(one,join(top,X2)) != join(one,top)
| join(one,top) != top
| join(one,join(top,X2)) = top ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(top,X2)))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_535,plain,
( join(one,top) != top
| join(one,join(top,X2)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(top,X2)),join(one,top)) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
join(one,join(top,X2)) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_535]) ).
cnf(refute_0_537,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(one,join(top,X2))
| join(one,join(top,X2)) != top
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),top) ),[0],$fot(join(one,join(top,X2)))]]) ).
cnf(refute_0_538,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(one,join(top,X2))
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(top,X2)),top) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(one,join(top,X2))) )],[refute_0_343,refute_0_538]) ).
cnf(refute_0_540,plain,
join(one,join(complement(skolemFOFtoCNF_X0),converse(top))) = top,
inference(subst,[],[refute_0_539:[bind(X2,$fot(converse(top)))]]) ).
cnf(refute_0_541,plain,
converse(join(converse(X_68),top)) = join(X_68,converse(top)),
inference(subst,[],[refute_0_310:[bind(X0,$fot(X_68)),bind(X_20,$fot(top))]]) ).
cnf(refute_0_542,plain,
join(converse(X_68),top) = top,
inference(subst,[],[refute_0_371:[bind(X_33,$fot(converse(X_68)))]]) ).
cnf(refute_0_543,plain,
( converse(join(converse(X_68),top)) != join(X_68,converse(top))
| join(converse(X_68),top) != top
| converse(top) = join(X_68,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_68),top)),join(X_68,converse(top))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_544,plain,
( converse(join(converse(X_68),top)) != join(X_68,converse(top))
| converse(top) = join(X_68,converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(X_68),top),top) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
converse(top) = join(X_68,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),top)),join(X_68,converse(top))) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
converse(top) = join(complement(skolemFOFtoCNF_X0),converse(top)),
inference(subst,[],[refute_0_545:[bind(X_68,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_547,plain,
( converse(top) != join(complement(skolemFOFtoCNF_X0),converse(top))
| join(complement(skolemFOFtoCNF_X0),converse(top)) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(top))))]]) ).
cnf(refute_0_548,plain,
join(complement(skolemFOFtoCNF_X0),converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(skolemFOFtoCNF_X0),converse(top))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( join(complement(skolemFOFtoCNF_X0),converse(top)) != converse(top)
| join(one,join(complement(skolemFOFtoCNF_X0),converse(top))) != top
| join(one,converse(top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),converse(top))),top) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_550,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),converse(top))) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(top)),converse(top)) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),converse(top))),top) )],[refute_0_540,refute_0_550]) ).
cnf(refute_0_552,plain,
( converse(top) != join(X_68,converse(top))
| join(X_68,converse(top)) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_68,converse(top))))]]) ).
cnf(refute_0_553,plain,
join(X_68,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_68,converse(top))) )],[refute_0_545,refute_0_552]) ).
cnf(refute_0_554,plain,
join(one,converse(top)) = converse(top),
inference(subst,[],[refute_0_553:[bind(X_68,$fot(one))]]) ).
cnf(refute_0_555,plain,
( join(one,converse(top)) != converse(top)
| join(one,converse(top)) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(top)),top) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_556,plain,
( join(one,converse(top)) != top
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(top)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_551,refute_0_556]) ).
cnf(refute_0_558,plain,
( converse(top) != join(X_68,converse(complement(converse(X_68))))
| converse(top) != top
| top = join(X_68,converse(complement(converse(X_68)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_68,converse(complement(converse(X_68))))) ),[0],$fot(top)]]) ).
cnf(refute_0_559,plain,
( converse(top) != join(X_68,converse(complement(converse(X_68))))
| top = join(X_68,converse(complement(converse(X_68)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
top = join(X_68,converse(complement(converse(X_68)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_68,converse(complement(converse(X_68))))) )],[refute_0_317,refute_0_559]) ).
cnf(refute_0_561,plain,
top = join(complement(X_83),converse(complement(converse(complement(X_83))))),
inference(subst,[],[refute_0_560:[bind(X_68,$fot(complement(X_83)))]]) ).
cnf(refute_0_562,plain,
( top != join(complement(X_83),converse(complement(converse(complement(X_83)))))
| join(complement(X_83),converse(complement(converse(complement(X_83))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_83),converse(complement(converse(complement(X_83)))))))]]) ).
cnf(refute_0_563,plain,
join(complement(X_83),converse(complement(converse(complement(X_83))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_83),converse(complement(converse(complement(X_83)))))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
( X_83 != join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(join(complement(X_83),converse(complement(converse(complement(X_83)))))))
| join(complement(X_83),converse(complement(converse(complement(X_83))))) != top
| X_83 = join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(join(complement(X_83),converse(complement(converse(complement(X_83)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_565,plain,
( X_83 != join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(join(complement(X_83),converse(complement(converse(complement(X_83)))))))
| X_83 = join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),converse(complement(converse(complement(X_83))))),top) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
X_83 = join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(join(complement(X_83),converse(complement(converse(complement(X_83)))))))) )],[refute_0_305,refute_0_565]) ).
cnf(refute_0_567,plain,
join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) = join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))))]]) ).
cnf(refute_0_568,plain,
( complement(top) != zero
| join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) != join(complement(top),meet(X_83,converse(complement(converse(complement(X_83))))))
| join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))),join(complement(top),meet(X_83,converse(complement(converse(complement(X_83))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_569,plain,
( complement(top) != zero
| join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))),join(complement(top),meet(X_83,converse(complement(converse(complement(X_83))))))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_569]) ).
cnf(refute_0_571,plain,
join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) = join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_83,converse(complement(converse(complement(X_83)))))))]]) ).
cnf(refute_0_572,plain,
( join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) != join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))
| join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) != join(complement(top),meet(X_83,converse(complement(converse(complement(X_83))))))
| join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))))),bind(Z,$fot(join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))))]]) ).
cnf(refute_0_573,plain,
( join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))) != join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))
| join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)),join(complement(top),meet(X_83,converse(complement(converse(complement(X_83))))))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_83,converse(complement(converse(complement(X_83)))))),join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
( X_83 != join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top))
| join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)) != join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))
| X_83 = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))) ),[0],$fot(join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)))]]) ).
cnf(refute_0_576,plain,
( X_83 != join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top))
| X_83 = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top)),join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
X_83 = join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,converse(complement(converse(complement(X_83))))),complement(top))) )],[refute_0_566,refute_0_576]) ).
cnf(refute_0_578,plain,
join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) = meet(X_83,converse(complement(converse(complement(X_83))))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_83,converse(complement(converse(complement(X_83)))))))]]) ).
cnf(refute_0_579,plain,
( X_83 != join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))
| join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))) != meet(X_83,converse(complement(converse(complement(X_83)))))
| X_83 = meet(X_83,converse(complement(converse(complement(X_83))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,meet(X_83,converse(complement(converse(complement(X_83)))))) ),[0],$fot(join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))))]]) ).
cnf(refute_0_580,plain,
( X_83 != join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))
| X_83 = meet(X_83,converse(complement(converse(complement(X_83))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_83,converse(complement(converse(complement(X_83)))))),meet(X_83,converse(complement(converse(complement(X_83)))))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
X_83 = meet(X_83,converse(complement(converse(complement(X_83))))),
inference(resolve,[$cnf( $equal(X_83,join(zero,meet(X_83,converse(complement(converse(complement(X_83))))))) )],[refute_0_577,refute_0_580]) ).
cnf(refute_0_582,plain,
complement(X_94) = meet(complement(X_94),converse(complement(converse(complement(complement(X_94)))))),
inference(subst,[],[refute_0_581:[bind(X_83,$fot(complement(X_94)))]]) ).
cnf(refute_0_583,plain,
X_94 = complement(complement(X_94)),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(X_94))]]) ).
cnf(refute_0_584,plain,
( X_94 != complement(complement(X_94))
| complement(complement(X_94)) = X_94 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_94)),bind(Y,$fot(complement(complement(X_94))))]]) ).
cnf(refute_0_585,plain,
complement(complement(X_94)) = X_94,
inference(resolve,[$cnf( $equal(X_94,complement(complement(X_94))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( complement(X_94) != meet(complement(X_94),converse(complement(converse(complement(complement(X_94))))))
| complement(complement(X_94)) != X_94
| complement(X_94) = meet(complement(X_94),converse(complement(converse(X_94)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_94),meet(complement(X_94),converse(complement(converse(complement(complement(X_94))))))) ),[1,1,0,0,0],$fot(X_94)]]) ).
cnf(refute_0_587,plain,
( complement(X_94) != meet(complement(X_94),converse(complement(converse(complement(complement(X_94))))))
| complement(X_94) = meet(complement(X_94),converse(complement(converse(X_94)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_94)),X_94) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
complement(X_94) = meet(complement(X_94),converse(complement(converse(X_94)))),
inference(resolve,[$cnf( $equal(complement(X_94),meet(complement(X_94),converse(complement(converse(complement(complement(X_94))))))) )],[refute_0_582,refute_0_587]) ).
cnf(refute_0_589,plain,
complement(one) = meet(complement(one),converse(complement(converse(one)))),
inference(subst,[],[refute_0_588:[bind(X_94,$fot(one))]]) ).
cnf(refute_0_590,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| converse(one) != one
| complement(one) = meet(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) ),[1,1,0,0],$fot(one)]]) ).
cnf(refute_0_591,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_590]) ).
cnf(refute_0_592,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) )],[refute_0_589,refute_0_591]) ).
cnf(refute_0_593,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_594,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(one))),meet(complement(one),converse(complement(one)))))
| meet(complement(one),converse(complement(one))) != complement(one)
| complement(one) = meet(complement(one),join(complement(converse(complement(one))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(one))),meet(complement(one),converse(complement(one)))))) ),[1,1,1],$fot(complement(one))]]) ).
cnf(refute_0_596,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(one))),meet(complement(one),converse(complement(one)))))
| complement(one) = meet(complement(one),join(complement(converse(complement(one))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
complement(one) = meet(complement(one),join(complement(converse(complement(one))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(one))),meet(complement(one),converse(complement(one)))))) )],[refute_0_304,refute_0_596]) ).
cnf(refute_0_598,plain,
( meet(X_14,X_15) != meet(X_15,X_14)
| meet(X_15,X_14) = meet(X_14,X_15) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_14,X_15))),bind(Y,$fot(meet(X_15,X_14)))]]) ).
cnf(refute_0_599,plain,
meet(X_15,X_14) = meet(X_14,X_15),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),meet(X_15,X_14)) )],[refute_0_253,refute_0_598]) ).
cnf(refute_0_600,plain,
meet(converse(complement(one)),one) = meet(one,converse(complement(one))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(converse(complement(one))))]]) ).
cnf(refute_0_601,plain,
complement(meet(converse(complement(one)),one)) = complement(meet(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(one)),one)))]]) ).
cnf(refute_0_602,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(converse(complement(one)),one))
| meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(converse(complement(one)),one))) ),[1,0],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_603,plain,
( meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(converse(complement(one)),one))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),one),meet(one,converse(complement(one)))) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
join(complement(converse(complement(one))),complement(one)) = complement(meet(converse(complement(one)),one)),
inference(subst,[],[refute_0_184:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(one))]]) ).
cnf(refute_0_606,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),complement(one)) != complement(meet(converse(complement(one)),one))
| join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(complement(one))),complement(one)))),bind(Y,$fot(complement(meet(converse(complement(one)),one)))),bind(Z,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_607,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(converse(complement(one)),one))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(one,converse(complement(one))))) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
meet(complement(one),join(complement(converse(complement(one))),complement(one))) = meet(complement(one),join(complement(converse(complement(one))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_610,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| meet(complement(one),join(complement(converse(complement(one))),complement(one))) != meet(complement(one),join(complement(converse(complement(one))),complement(one)))
| meet(complement(one),join(complement(converse(complement(one))),complement(one))) = meet(complement(one),complement(meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(one))),complement(one))),meet(complement(one),join(complement(converse(complement(one))),complement(one)))) ),[1,1],$fot(complement(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_611,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| meet(complement(one),join(complement(converse(complement(one))),complement(one))) = meet(complement(one),complement(meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(one))),complement(one))),meet(complement(one),join(complement(converse(complement(one))),complement(one)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
meet(complement(one),join(complement(converse(complement(one))),complement(one))) = meet(complement(one),complement(meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(one,converse(complement(one))))) )],[refute_0_608,refute_0_611]) ).
cnf(refute_0_613,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(one))),complement(one)))
| meet(complement(one),join(complement(converse(complement(one))),complement(one))) != meet(complement(one),complement(meet(one,converse(complement(one)))))
| complement(one) = meet(complement(one),complement(meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(one,converse(complement(one)))))) ),[0],$fot(meet(complement(one),join(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_614,plain,
( complement(one) != meet(complement(one),join(complement(converse(complement(one))),complement(one)))
| complement(one) = meet(complement(one),complement(meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(complement(one))),complement(one))),meet(complement(one),complement(meet(one,converse(complement(one)))))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
complement(one) = meet(complement(one),complement(meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(complement(one))),complement(one)))) )],[refute_0_597,refute_0_614]) ).
cnf(refute_0_616,plain,
( complement(one) != meet(complement(one),complement(meet(one,converse(complement(one)))))
| meet(complement(one),complement(meet(one,converse(complement(one))))) = complement(one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_617,plain,
meet(complement(one),complement(meet(one,converse(complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,converse(complement(one)))))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
( complement(one) != join(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))
| meet(complement(one),complement(meet(one,converse(complement(one))))) != complement(one)
| complement(one) = join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_619,plain,
( complement(one) != join(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))
| complement(one) = join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(one)) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
complement(one) = join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),
inference(resolve,[$cnf( $equal(complement(one),join(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))) )],[refute_0_303,refute_0_619]) ).
cnf(refute_0_621,plain,
meet(meet(one,converse(complement(one))),complement(one)) = meet(complement(one),meet(one,converse(complement(one)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(one))),bind(X_15,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_622,plain,
complement(meet(meet(one,converse(complement(one))),complement(one))) = complement(meet(meet(one,converse(complement(one))),complement(one))),
introduced(tautology,[refl,[$fot(complement(meet(meet(one,converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_623,plain,
( complement(meet(meet(one,converse(complement(one))),complement(one))) != complement(meet(meet(one,converse(complement(one))),complement(one)))
| meet(meet(one,converse(complement(one))),complement(one)) != meet(complement(one),meet(one,converse(complement(one))))
| complement(meet(meet(one,converse(complement(one))),complement(one))) = complement(meet(complement(one),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(one,converse(complement(one))),complement(one))),complement(meet(meet(one,converse(complement(one))),complement(one)))) ),[1,0],$fot(meet(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_624,plain,
( meet(meet(one,converse(complement(one))),complement(one)) != meet(complement(one),meet(one,converse(complement(one))))
| complement(meet(meet(one,converse(complement(one))),complement(one))) = complement(meet(complement(one),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,converse(complement(one))),complement(one))),complement(meet(meet(one,converse(complement(one))),complement(one)))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
complement(meet(meet(one,converse(complement(one))),complement(one))) = complement(meet(complement(one),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(one))),complement(one)),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
join(complement(meet(one,converse(complement(one)))),complement(complement(one))) = complement(meet(meet(one,converse(complement(one))),complement(one))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(meet(one,converse(complement(one))))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_627,plain,
( complement(meet(meet(one,converse(complement(one))),complement(one))) != complement(meet(complement(one),meet(one,converse(complement(one)))))
| join(complement(meet(one,converse(complement(one)))),complement(complement(one))) != complement(meet(meet(one,converse(complement(one))),complement(one)))
| join(complement(meet(one,converse(complement(one)))),complement(complement(one))) = complement(meet(complement(one),meet(one,converse(complement(one))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),bind(Y,$fot(complement(meet(meet(one,converse(complement(one))),complement(one))))),bind(Z,$fot(complement(meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_628,plain,
( complement(meet(meet(one,converse(complement(one))),complement(one))) != complement(meet(complement(one),meet(one,converse(complement(one)))))
| join(complement(meet(one,converse(complement(one)))),complement(complement(one))) = complement(meet(complement(one),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(one)))),complement(complement(one))),complement(meet(meet(one,converse(complement(one))),complement(one)))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
join(complement(meet(one,converse(complement(one)))),complement(complement(one))) = complement(meet(complement(one),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,converse(complement(one))),complement(one))),complement(meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) = meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))]]) ).
cnf(refute_0_631,plain,
( join(complement(meet(one,converse(complement(one)))),complement(complement(one))) != complement(meet(complement(one),meet(one,converse(complement(one)))))
| meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) != meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))
| meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) = meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))),meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) ),[1,1],$fot(complement(meet(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_632,plain,
( join(complement(meet(one,converse(complement(one)))),complement(complement(one))) != complement(meet(complement(one),meet(one,converse(complement(one)))))
| meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) = meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))),meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) = meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,converse(complement(one)))),complement(complement(one))),complement(meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))))]]) ).
cnf(refute_0_635,plain,
( complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) != complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))
| meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) != meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))
| complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))) ),[1,0],$fot(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_636,plain,
( meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))) != meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))
| complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))),meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))]]) ).
cnf(refute_0_639,plain,
( complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) != complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))
| join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) != complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))
| join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))))),bind(Y,$fot(complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))))),bind(Z,$fot(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_640,plain,
( complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) != complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))
| join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_637,refute_0_640]) ).
cnf(refute_0_642,plain,
( complement(one) != join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))
| join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))) != complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))
| complement(one) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) ),[0],$fot(join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))))]]) ).
cnf(refute_0_643,plain,
( complement(one) != join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))
| complement(one) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one))))),complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
complement(one) = complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),complement(join(complement(meet(one,converse(complement(one)))),complement(complement(one)))))) )],[refute_0_620,refute_0_643]) ).
cnf(refute_0_645,plain,
( complement(one) != complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))
| complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) = complement(one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(one))),bind(Y,$fot(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_646,plain,
complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
( complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) != complement(one)
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) != complement(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_648,plain,
( meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) != complement(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))),complement(one)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))) )],[refute_0_295,refute_0_648]) ).
cnf(refute_0_650,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(one))]]) ).
cnf(refute_0_651,plain,
( complement(complement(one)) != one
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) != complement(complement(one))
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_652,plain,
( meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) != complement(complement(one))
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(complement(one))) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
( meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != complement(join(complement(X_178),meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) != one
| meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = complement(join(complement(X_178),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),complement(join(complement(X_178),meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_655,plain,
( meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != complement(join(complement(X_178),meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))
| meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = complement(join(complement(X_178),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),one) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = complement(join(complement(X_178),one)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),complement(join(complement(X_178),meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))) )],[refute_0_294,refute_0_655]) ).
cnf(refute_0_657,plain,
meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_658,plain,
( complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) != complement(one)
| meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))
| meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = meet(X_178,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_659,plain,
( complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))) != complement(one)
| meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = meet(X_178,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) = meet(X_178,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one))))))),complement(one)) )],[refute_0_646,refute_0_659]) ).
cnf(refute_0_661,plain,
( meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != complement(join(complement(X_178),one))
| meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != meet(X_178,complement(one))
| meet(X_178,complement(one)) = complement(join(complement(X_178),one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),complement(join(complement(X_178),one))) ),[0],$fot(meet(X_178,complement(one)))]]) ).
cnf(refute_0_662,plain,
( meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != complement(join(complement(X_178),one))
| meet(X_178,complement(one)) = complement(join(complement(X_178),one)) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),meet(X_178,complement(one))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
converse(join(converse(X_68),join(one,one))) = join(X_68,converse(join(one,one))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(X_68)),bind(X_20,$fot(join(one,one)))]]) ).
cnf(refute_0_664,plain,
converse(join(X_19,one)) = join(converse(X_19),converse(one)),
inference(subst,[],[refute_0_306:[bind(X0,$fot(X_19)),bind(X1,$fot(one))]]) ).
cnf(refute_0_665,plain,
( converse(join(X_19,one)) != join(converse(X_19),converse(one))
| converse(one) != one
| converse(join(X_19,one)) = join(converse(X_19),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_19,one)),join(converse(X_19),converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_666,plain,
( converse(join(X_19,one)) != join(converse(X_19),converse(one))
| converse(join(X_19,one)) = join(converse(X_19),one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_665]) ).
cnf(refute_0_667,plain,
converse(join(X_19,one)) = join(converse(X_19),one),
inference(resolve,[$cnf( $equal(converse(join(X_19,one)),join(converse(X_19),converse(one))) )],[refute_0_664,refute_0_666]) ).
cnf(refute_0_668,plain,
join(converse(X_19),one) = join(one,converse(X_19)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_19)))]]) ).
cnf(refute_0_669,plain,
( converse(join(X_19,one)) != join(converse(X_19),one)
| join(converse(X_19),one) != join(one,converse(X_19))
| converse(join(X_19,one)) = join(one,converse(X_19)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_19,one)),join(one,converse(X_19))) ),[0],$fot(join(converse(X_19),one))]]) ).
cnf(refute_0_670,plain,
( converse(join(X_19,one)) != join(converse(X_19),one)
| converse(join(X_19,one)) = join(one,converse(X_19)) ),
inference(resolve,[$cnf( $equal(join(converse(X_19),one),join(one,converse(X_19))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
converse(join(X_19,one)) = join(one,converse(X_19)),
inference(resolve,[$cnf( $equal(converse(join(X_19,one)),join(converse(X_19),one)) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_671:[bind(X_19,$fot(one))]]) ).
cnf(refute_0_673,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_674,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_673]) ).
cnf(refute_0_675,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_672,refute_0_674]) ).
cnf(refute_0_676,plain,
( converse(join(converse(X_68),join(one,one))) != join(X_68,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(converse(X_68),join(one,one))) = join(X_68,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),join(X_68,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_677,plain,
( converse(join(converse(X_68),join(one,one))) != join(X_68,converse(join(one,one)))
| converse(join(converse(X_68),join(one,one))) = join(X_68,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
converse(join(converse(X_68),join(one,one))) = join(X_68,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),join(X_68,converse(join(one,one)))) )],[refute_0_663,refute_0_677]) ).
cnf(refute_0_679,plain,
join(converse(one),X_68) = join(converse(one),X_68),
introduced(tautology,[refl,[$fot(join(converse(one),X_68))]]) ).
cnf(refute_0_680,plain,
( converse(one) != one
| join(converse(one),X_68) != join(converse(one),X_68)
| join(converse(one),X_68) = join(one,X_68) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_68),join(converse(one),X_68)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_681,plain,
( converse(one) != one
| join(converse(one),X_68) = join(one,X_68) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_68),join(converse(one),X_68)) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
join(converse(one),X_68) = join(one,X_68),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_681]) ).
cnf(refute_0_683,plain,
join(one,join(converse(one),X_68)) = join(one,join(converse(one),X_68)),
introduced(tautology,[refl,[$fot(join(one,join(converse(one),X_68)))]]) ).
cnf(refute_0_684,plain,
( join(converse(one),X_68) != join(one,X_68)
| join(one,join(converse(one),X_68)) != join(one,join(converse(one),X_68))
| join(one,join(converse(one),X_68)) = join(one,join(one,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(one),X_68)),join(one,join(converse(one),X_68))) ),[1,1],$fot(join(one,X_68))]]) ).
cnf(refute_0_685,plain,
( join(converse(one),X_68) != join(one,X_68)
| join(one,join(converse(one),X_68)) = join(one,join(one,X_68)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X_68)),join(one,join(converse(one),X_68))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
join(one,join(converse(one),X_68)) = join(one,join(one,X_68)),
inference(resolve,[$cnf( $equal(join(converse(one),X_68),join(one,X_68)) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
join(one,join(converse(X_19),X_27)) = join(join(one,converse(X_19)),X_27),
inference(subst,[],[refute_0_123:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_19))),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_688,plain,
( converse(join(X_19,one)) != join(one,converse(X_19))
| join(one,converse(X_19)) = converse(join(X_19,one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_19,one)))),bind(Y,$fot(join(one,converse(X_19))))]]) ).
cnf(refute_0_689,plain,
join(one,converse(X_19)) = converse(join(X_19,one)),
inference(resolve,[$cnf( $equal(converse(join(X_19,one)),join(one,converse(X_19))) )],[refute_0_671,refute_0_688]) ).
cnf(refute_0_690,plain,
( join(one,converse(X_19)) != converse(join(X_19,one))
| join(one,join(converse(X_19),X_27)) != join(join(one,converse(X_19)),X_27)
| join(one,join(converse(X_19),X_27)) = join(converse(join(X_19,one)),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_19),X_27)),join(join(one,converse(X_19)),X_27)) ),[1,0],$fot(converse(join(X_19,one)))]]) ).
cnf(refute_0_691,plain,
( join(one,join(converse(X_19),X_27)) != join(join(one,converse(X_19)),X_27)
| join(one,join(converse(X_19),X_27)) = join(converse(join(X_19,one)),X_27) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_19)),converse(join(X_19,one))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
join(one,join(converse(X_19),X_27)) = join(converse(join(X_19,one)),X_27),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_19),X_27)),join(join(one,converse(X_19)),X_27)) )],[refute_0_687,refute_0_691]) ).
cnf(refute_0_693,plain,
( join(one,join(converse(X_19),X_27)) != join(converse(join(X_19,one)),X_27)
| join(converse(join(X_19,one)),X_27) = join(one,join(converse(X_19),X_27)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,join(converse(X_19),X_27)))),bind(Y,$fot(join(converse(join(X_19,one)),X_27)))]]) ).
cnf(refute_0_694,plain,
join(converse(join(X_19,one)),X_27) = join(one,join(converse(X_19),X_27)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_19),X_27)),join(converse(join(X_19,one)),X_27)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
join(converse(join(one,one)),X_68) = join(one,join(converse(one),X_68)),
inference(subst,[],[refute_0_694:[bind(X_19,$fot(one)),bind(X_27,$fot(X_68))]]) ).
cnf(refute_0_696,plain,
converse(join(X_19,converse(X0))) = join(converse(X_19),converse(converse(X0))),
inference(subst,[],[refute_0_306:[bind(X0,$fot(X_19)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_697,plain,
( converse(converse(X0)) != X0
| converse(join(X_19,converse(X0))) != join(converse(X_19),converse(converse(X0)))
| converse(join(X_19,converse(X0))) = join(converse(X_19),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_19,converse(X0))),join(converse(X_19),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_698,plain,
( converse(join(X_19,converse(X0))) != join(converse(X_19),converse(converse(X0)))
| converse(join(X_19,converse(X0))) = join(converse(X_19),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_697]) ).
cnf(refute_0_699,plain,
converse(join(X_19,converse(X0))) = join(converse(X_19),X0),
inference(resolve,[$cnf( $equal(converse(join(X_19,converse(X0))),join(converse(X_19),converse(converse(X0)))) )],[refute_0_696,refute_0_698]) ).
cnf(refute_0_700,plain,
converse(join(join(X_25,X_26),converse(X0))) = join(converse(join(X_25,X_26)),X0),
inference(subst,[],[refute_0_699:[bind(X_19,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_701,plain,
join(X_25,join(X_26,converse(X0))) = join(join(X_25,X_26),converse(X0)),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_702,plain,
( join(X_25,join(X_26,converse(X0))) != join(join(X_25,X_26),converse(X0))
| join(join(X_25,X_26),converse(X0)) = join(X_25,join(X_26,converse(X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(X_26,converse(X0))))),bind(Y,$fot(join(join(X_25,X_26),converse(X0))))]]) ).
cnf(refute_0_703,plain,
join(join(X_25,X_26),converse(X0)) = join(X_25,join(X_26,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,converse(X0))),join(join(X_25,X_26),converse(X0))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
( converse(join(join(X_25,X_26),converse(X0))) != join(converse(join(X_25,X_26)),X0)
| join(join(X_25,X_26),converse(X0)) != join(X_25,join(X_26,converse(X0)))
| converse(join(X_25,join(X_26,converse(X0)))) = join(converse(join(X_25,X_26)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_25,X_26),converse(X0))),join(converse(join(X_25,X_26)),X0)) ),[0,0],$fot(join(X_25,join(X_26,converse(X0))))]]) ).
cnf(refute_0_705,plain,
( converse(join(join(X_25,X_26),converse(X0))) != join(converse(join(X_25,X_26)),X0)
| converse(join(X_25,join(X_26,converse(X0)))) = join(converse(join(X_25,X_26)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),converse(X0)),join(X_25,join(X_26,converse(X0)))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
converse(join(X_25,join(X_26,converse(X0)))) = join(converse(join(X_25,X_26)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_25,X_26),converse(X0))),join(converse(join(X_25,X_26)),X0)) )],[refute_0_700,refute_0_705]) ).
cnf(refute_0_707,plain,
converse(join(one,join(one,converse(X_68)))) = join(converse(join(one,one)),X_68),
inference(subst,[],[refute_0_706:[bind(X0,$fot(X_68)),bind(X_25,$fot(one)),bind(X_26,$fot(one))]]) ).
cnf(refute_0_708,plain,
( converse(join(one,join(one,converse(X_68)))) != join(converse(join(one,one)),X_68)
| join(converse(join(one,one)),X_68) != join(one,join(converse(one),X_68))
| converse(join(one,join(one,converse(X_68)))) = join(one,join(converse(one),X_68)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(one,join(one,converse(X_68)))))),bind(Y,$fot(join(converse(join(one,one)),X_68))),bind(Z,$fot(join(one,join(converse(one),X_68))))]]) ).
cnf(refute_0_709,plain,
( join(converse(join(one,one)),X_68) != join(one,join(converse(one),X_68))
| converse(join(one,join(one,converse(X_68)))) = join(one,join(converse(one),X_68)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(X_68)))),join(converse(join(one,one)),X_68)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
converse(join(one,join(one,converse(X_68)))) = join(one,join(converse(one),X_68)),
inference(resolve,[$cnf( $equal(join(converse(join(one,one)),X_68),join(one,join(converse(one),X_68))) )],[refute_0_695,refute_0_709]) ).
cnf(refute_0_711,plain,
converse(join(converse(join(one,one)),X_69)) = join(join(one,one),converse(X_69)),
inference(subst,[],[refute_0_310:[bind(X0,$fot(join(one,one))),bind(X_20,$fot(X_69))]]) ).
cnf(refute_0_712,plain,
( converse(join(converse(join(one,one)),X_69)) != join(join(one,one),converse(X_69))
| converse(join(one,one)) != join(one,one)
| converse(join(join(one,one),X_69)) = join(join(one,one),converse(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(one,one)),X_69)),join(join(one,one),converse(X_69))) ),[0,0,0],$fot(join(one,one))]]) ).
cnf(refute_0_713,plain,
( converse(join(converse(join(one,one)),X_69)) != join(join(one,one),converse(X_69))
| converse(join(join(one,one),X_69)) = join(join(one,one),converse(X_69)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_675,refute_0_712]) ).
cnf(refute_0_714,plain,
converse(join(join(one,one),X_69)) = join(join(one,one),converse(X_69)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,one)),X_69)),join(join(one,one),converse(X_69))) )],[refute_0_711,refute_0_713]) ).
cnf(refute_0_715,plain,
join(join(one,one),X_69) = join(one,join(one,X_69)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(X_69))]]) ).
cnf(refute_0_716,plain,
converse(join(join(one,one),X_69)) = converse(join(join(one,one),X_69)),
introduced(tautology,[refl,[$fot(converse(join(join(one,one),X_69)))]]) ).
cnf(refute_0_717,plain,
( converse(join(join(one,one),X_69)) != converse(join(join(one,one),X_69))
| join(join(one,one),X_69) != join(one,join(one,X_69))
| converse(join(join(one,one),X_69)) = converse(join(one,join(one,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,one),X_69)),converse(join(join(one,one),X_69))) ),[1,0],$fot(join(one,join(one,X_69)))]]) ).
cnf(refute_0_718,plain,
( join(join(one,one),X_69) != join(one,join(one,X_69))
| converse(join(join(one,one),X_69)) = converse(join(one,join(one,X_69))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X_69)),converse(join(join(one,one),X_69))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
converse(join(join(one,one),X_69)) = converse(join(one,join(one,X_69))),
inference(resolve,[$cnf( $equal(join(join(one,one),X_69),join(one,join(one,X_69))) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
( converse(join(join(one,one),X_69)) != converse(join(one,join(one,X_69)))
| converse(join(join(one,one),X_69)) != join(join(one,one),converse(X_69))
| converse(join(one,join(one,X_69))) = join(join(one,one),converse(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,one),X_69)),join(join(one,one),converse(X_69))) ),[0],$fot(converse(join(one,join(one,X_69))))]]) ).
cnf(refute_0_721,plain,
( converse(join(join(one,one),X_69)) != join(join(one,one),converse(X_69))
| converse(join(one,join(one,X_69))) = join(join(one,one),converse(X_69)) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X_69)),converse(join(one,join(one,X_69)))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
converse(join(X_21,one)) = join(one,converse(X_21)),
inference(subst,[],[refute_0_671:[bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_723,plain,
join(one,X_21) = join(X_21,one),
inference(subst,[],[refute_0_12:[bind(X0,$fot(one)),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_724,plain,
( join(one,X_21) != join(X_21,one)
| join(X_21,one) = join(one,X_21) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,X_21))),bind(Y,$fot(join(X_21,one)))]]) ).
cnf(refute_0_725,plain,
join(X_21,one) = join(one,X_21),
inference(resolve,[$cnf( $equal(join(one,X_21),join(X_21,one)) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
( converse(join(X_21,one)) != join(one,converse(X_21))
| join(X_21,one) != join(one,X_21)
| converse(join(one,X_21)) = join(one,converse(X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_21,one)),join(one,converse(X_21))) ),[0,0],$fot(join(one,X_21))]]) ).
cnf(refute_0_727,plain,
( converse(join(X_21,one)) != join(one,converse(X_21))
| converse(join(one,X_21)) = join(one,converse(X_21)) ),
inference(resolve,[$cnf( $equal(join(X_21,one),join(one,X_21)) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
converse(join(one,X_21)) = join(one,converse(X_21)),
inference(resolve,[$cnf( $equal(converse(join(X_21,one)),join(one,converse(X_21))) )],[refute_0_722,refute_0_727]) ).
cnf(refute_0_729,plain,
join(one,converse(X_21)) = converse(join(X_21,one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_730,plain,
( converse(join(one,X_21)) != join(one,converse(X_21))
| join(one,converse(X_21)) != converse(join(X_21,one))
| converse(join(one,X_21)) = converse(join(X_21,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_21)),converse(join(X_21,one))) ),[0],$fot(join(one,converse(X_21)))]]) ).
cnf(refute_0_731,plain,
( converse(join(one,X_21)) != join(one,converse(X_21))
| converse(join(one,X_21)) = converse(join(X_21,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_21)),converse(join(X_21,one))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
converse(join(one,X_21)) = converse(join(X_21,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_21)),join(one,converse(X_21))) )],[refute_0_728,refute_0_731]) ).
cnf(refute_0_733,plain,
( converse(join(one,X_21)) != converse(join(X_21,one))
| converse(join(X_21,one)) = converse(join(one,X_21)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(one,X_21)))),bind(Y,$fot(converse(join(X_21,one))))]]) ).
cnf(refute_0_734,plain,
converse(join(X_21,one)) = converse(join(one,X_21)),
inference(resolve,[$cnf( $equal(converse(join(one,X_21)),converse(join(X_21,one))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
converse(join(join(X_69,one),one)) = converse(join(one,join(X_69,one))),
inference(subst,[],[refute_0_734:[bind(X_21,$fot(join(X_69,one)))]]) ).
cnf(refute_0_736,plain,
join(one,converse(join(X_69,one))) = converse(join(join(X_69,one),one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(join(X_69,one)))]]) ).
cnf(refute_0_737,plain,
( converse(join(join(X_69,one),one)) != converse(join(one,join(X_69,one)))
| join(one,converse(join(X_69,one))) != converse(join(join(X_69,one),one))
| join(one,converse(join(X_69,one))) = converse(join(one,join(X_69,one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(join(X_69,one))))),bind(Y,$fot(converse(join(join(X_69,one),one)))),bind(Z,$fot(converse(join(one,join(X_69,one)))))]]) ).
cnf(refute_0_738,plain,
( converse(join(join(X_69,one),one)) != converse(join(one,join(X_69,one)))
| join(one,converse(join(X_69,one))) = converse(join(one,join(X_69,one))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_69,one))),converse(join(join(X_69,one),one))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
join(one,converse(join(X_69,one))) = converse(join(one,join(X_69,one))),
inference(resolve,[$cnf( $equal(converse(join(join(X_69,one),one)),converse(join(one,join(X_69,one)))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
join(one,converse(X_69)) = converse(join(X_69,one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(X_69))]]) ).
cnf(refute_0_741,plain,
join(one,join(one,converse(X_69))) = join(one,join(one,converse(X_69))),
introduced(tautology,[refl,[$fot(join(one,join(one,converse(X_69))))]]) ).
cnf(refute_0_742,plain,
( join(one,converse(X_69)) != converse(join(X_69,one))
| join(one,join(one,converse(X_69))) != join(one,join(one,converse(X_69)))
| join(one,join(one,converse(X_69))) = join(one,converse(join(X_69,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(X_69))),join(one,join(one,converse(X_69)))) ),[1,1],$fot(converse(join(X_69,one)))]]) ).
cnf(refute_0_743,plain,
( join(one,converse(X_69)) != converse(join(X_69,one))
| join(one,join(one,converse(X_69))) = join(one,converse(join(X_69,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_69))),join(one,join(one,converse(X_69)))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
join(one,join(one,converse(X_69))) = join(one,converse(join(X_69,one))),
inference(resolve,[$cnf( $equal(join(one,converse(X_69)),converse(join(X_69,one))) )],[refute_0_740,refute_0_743]) ).
cnf(refute_0_745,plain,
( join(one,converse(join(X_69,one))) != converse(join(one,join(X_69,one)))
| join(one,join(one,converse(X_69))) != join(one,converse(join(X_69,one)))
| join(one,join(one,converse(X_69))) = converse(join(one,join(X_69,one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(one,converse(X_69))))),bind(Y,$fot(join(one,converse(join(X_69,one))))),bind(Z,$fot(converse(join(one,join(X_69,one)))))]]) ).
cnf(refute_0_746,plain,
( join(one,converse(join(X_69,one))) != converse(join(one,join(X_69,one)))
| join(one,join(one,converse(X_69))) = converse(join(one,join(X_69,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_69))),join(one,converse(join(X_69,one)))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
join(one,join(one,converse(X_69))) = converse(join(one,join(X_69,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_69,one))),converse(join(one,join(X_69,one)))) )],[refute_0_739,refute_0_746]) ).
cnf(refute_0_748,plain,
join(join(one,one),converse(X_69)) = join(one,join(one,converse(X_69))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(converse(X_69)))]]) ).
cnf(refute_0_749,plain,
( join(join(one,one),converse(X_69)) != join(one,join(one,converse(X_69)))
| join(one,join(one,converse(X_69))) != converse(join(one,join(X_69,one)))
| join(join(one,one),converse(X_69)) = converse(join(one,join(X_69,one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(one,one),converse(X_69)))),bind(Y,$fot(join(one,join(one,converse(X_69))))),bind(Z,$fot(converse(join(one,join(X_69,one)))))]]) ).
cnf(refute_0_750,plain,
( join(one,join(one,converse(X_69))) != converse(join(one,join(X_69,one)))
| join(join(one,one),converse(X_69)) = converse(join(one,join(X_69,one))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(X_69)),join(one,join(one,converse(X_69)))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
join(join(one,one),converse(X_69)) = converse(join(one,join(X_69,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_69))),converse(join(one,join(X_69,one)))) )],[refute_0_747,refute_0_750]) ).
cnf(refute_0_752,plain,
( converse(join(one,join(one,X_69))) != join(join(one,one),converse(X_69))
| join(join(one,one),converse(X_69)) != converse(join(one,join(X_69,one)))
| converse(join(one,join(one,X_69))) = converse(join(one,join(X_69,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(one,X_69))),converse(join(one,join(X_69,one)))) ),[0],$fot(join(join(one,one),converse(X_69)))]]) ).
cnf(refute_0_753,plain,
( converse(join(one,join(one,X_69))) != join(join(one,one),converse(X_69))
| converse(join(one,join(one,X_69))) = converse(join(one,join(X_69,one))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(X_69)),converse(join(one,join(X_69,one)))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
( converse(join(join(one,one),X_69)) != join(join(one,one),converse(X_69))
| converse(join(one,join(one,X_69))) = converse(join(one,join(X_69,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X_69))),join(join(one,one),converse(X_69))) )],[refute_0_721,refute_0_753]) ).
cnf(refute_0_755,plain,
converse(join(one,join(one,X_69))) = converse(join(one,join(X_69,one))),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X_69)),join(join(one,one),converse(X_69))) )],[refute_0_714,refute_0_754]) ).
cnf(refute_0_756,plain,
( converse(join(one,join(one,X_69))) != converse(join(one,join(X_69,one)))
| converse(join(one,join(X_69,one))) = converse(join(one,join(one,X_69))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(one,join(one,X_69))))),bind(Y,$fot(converse(join(one,join(X_69,one)))))]]) ).
cnf(refute_0_757,plain,
converse(join(one,join(X_69,one))) = converse(join(one,join(one,X_69))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X_69))),converse(join(one,join(X_69,one)))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
converse(join(one,join(converse(X_68),one))) = converse(join(one,join(one,converse(X_68)))),
inference(subst,[],[refute_0_757:[bind(X_69,$fot(converse(X_68)))]]) ).
cnf(refute_0_759,plain,
( converse(join(one,join(converse(X_68),one))) != converse(join(one,join(one,converse(X_68))))
| converse(join(one,join(one,converse(X_68)))) != join(one,join(converse(one),X_68))
| converse(join(one,join(converse(X_68),one))) = join(one,join(converse(one),X_68)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(one,join(converse(X_68),one))))),bind(Y,$fot(converse(join(one,join(one,converse(X_68)))))),bind(Z,$fot(join(one,join(converse(one),X_68))))]]) ).
cnf(refute_0_760,plain,
( converse(join(one,join(one,converse(X_68)))) != join(one,join(converse(one),X_68))
| converse(join(one,join(converse(X_68),one))) = join(one,join(converse(one),X_68)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_68),one))),converse(join(one,join(one,converse(X_68))))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
converse(join(one,join(converse(X_68),one))) = join(one,join(converse(one),X_68)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(X_68)))),join(one,join(converse(one),X_68))) )],[refute_0_710,refute_0_760]) ).
cnf(refute_0_762,plain,
converse(join(join(X_54,one),X1)) = join(converse(join(X_54,one)),converse(X1)),
inference(subst,[],[refute_0_306:[bind(X0,$fot(join(X_54,one)))]]) ).
cnf(refute_0_763,plain,
join(one,join(converse(X_54),converse(X1))) = join(converse(join(X_54,one)),converse(X1)),
inference(subst,[],[refute_0_692:[bind(X_19,$fot(X_54)),bind(X_27,$fot(converse(X1)))]]) ).
cnf(refute_0_764,plain,
( join(one,join(converse(X_54),converse(X1))) != join(converse(join(X_54,one)),converse(X1))
| join(converse(join(X_54,one)),converse(X1)) = join(one,join(converse(X_54),converse(X1))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,join(converse(X_54),converse(X1))))),bind(Y,$fot(join(converse(join(X_54,one)),converse(X1))))]]) ).
cnf(refute_0_765,plain,
join(converse(join(X_54,one)),converse(X1)) = join(one,join(converse(X_54),converse(X1))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_54),converse(X1))),join(converse(join(X_54,one)),converse(X1))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
( converse(join(join(X_54,one),X1)) != join(converse(join(X_54,one)),converse(X1))
| join(converse(join(X_54,one)),converse(X1)) != join(one,join(converse(X_54),converse(X1)))
| converse(join(join(X_54,one),X1)) = join(one,join(converse(X_54),converse(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(join(X_54,one),X1)),join(one,join(converse(X_54),converse(X1)))) ),[0],$fot(join(converse(join(X_54,one)),converse(X1)))]]) ).
cnf(refute_0_767,plain,
( converse(join(join(X_54,one),X1)) != join(converse(join(X_54,one)),converse(X1))
| converse(join(join(X_54,one),X1)) = join(one,join(converse(X_54),converse(X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_54,one)),converse(X1)),join(one,join(converse(X_54),converse(X1)))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
converse(join(join(X_54,one),X1)) = join(one,join(converse(X_54),converse(X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_54,one),X1)),join(converse(join(X_54,one)),converse(X1))) )],[refute_0_762,refute_0_767]) ).
cnf(refute_0_769,plain,
join(join(X_54,one),X1) = join(X_54,join(one,X1)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_54)),bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_770,plain,
converse(join(join(X_54,one),X1)) = converse(join(join(X_54,one),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_54,one),X1)))]]) ).
cnf(refute_0_771,plain,
( converse(join(join(X_54,one),X1)) != converse(join(join(X_54,one),X1))
| join(join(X_54,one),X1) != join(X_54,join(one,X1))
| converse(join(join(X_54,one),X1)) = converse(join(X_54,join(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_54,one),X1)),converse(join(join(X_54,one),X1))) ),[1,0],$fot(join(X_54,join(one,X1)))]]) ).
cnf(refute_0_772,plain,
( join(join(X_54,one),X1) != join(X_54,join(one,X1))
| converse(join(join(X_54,one),X1)) = converse(join(X_54,join(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_54,one),X1)),converse(join(join(X_54,one),X1))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
converse(join(join(X_54,one),X1)) = converse(join(X_54,join(one,X1))),
inference(resolve,[$cnf( $equal(join(join(X_54,one),X1),join(X_54,join(one,X1))) )],[refute_0_769,refute_0_772]) ).
cnf(refute_0_774,plain,
( converse(join(join(X_54,one),X1)) != converse(join(X_54,join(one,X1)))
| converse(join(join(X_54,one),X1)) != join(one,join(converse(X_54),converse(X1)))
| converse(join(X_54,join(one,X1))) = join(one,join(converse(X_54),converse(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_54,one),X1)),join(one,join(converse(X_54),converse(X1)))) ),[0],$fot(converse(join(X_54,join(one,X1))))]]) ).
cnf(refute_0_775,plain,
( converse(join(join(X_54,one),X1)) != join(one,join(converse(X_54),converse(X1)))
| converse(join(X_54,join(one,X1))) = join(one,join(converse(X_54),converse(X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_54,one),X1)),converse(join(X_54,join(one,X1)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
converse(join(join(X_54,X1),one)) = converse(join(one,join(X_54,X1))),
inference(subst,[],[refute_0_734:[bind(X_21,$fot(join(X_54,X1)))]]) ).
cnf(refute_0_777,plain,
join(one,converse(join(X_54,X1))) = converse(join(join(X_54,X1),one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(join(X_54,X1)))]]) ).
cnf(refute_0_778,plain,
( converse(join(join(X_54,X1),one)) != converse(join(one,join(X_54,X1)))
| join(one,converse(join(X_54,X1))) != converse(join(join(X_54,X1),one))
| join(one,converse(join(X_54,X1))) = converse(join(one,join(X_54,X1))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(join(X_54,X1))))),bind(Y,$fot(converse(join(join(X_54,X1),one)))),bind(Z,$fot(converse(join(one,join(X_54,X1)))))]]) ).
cnf(refute_0_779,plain,
( converse(join(join(X_54,X1),one)) != converse(join(one,join(X_54,X1)))
| join(one,converse(join(X_54,X1))) = converse(join(one,join(X_54,X1))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_54,X1))),converse(join(join(X_54,X1),one))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
join(one,converse(join(X_54,X1))) = converse(join(one,join(X_54,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_54,X1),one)),converse(join(one,join(X_54,X1)))) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_782,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_306,refute_0_781]) ).
cnf(refute_0_783,plain,
join(converse(X_54),converse(X1)) = converse(join(X_54,X1)),
inference(subst,[],[refute_0_782:[bind(X0,$fot(X_54))]]) ).
cnf(refute_0_784,plain,
join(one,join(converse(X_54),converse(X1))) = join(one,join(converse(X_54),converse(X1))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_54),converse(X1))))]]) ).
cnf(refute_0_785,plain,
( join(converse(X_54),converse(X1)) != converse(join(X_54,X1))
| join(one,join(converse(X_54),converse(X1))) != join(one,join(converse(X_54),converse(X1)))
| join(one,join(converse(X_54),converse(X1))) = join(one,converse(join(X_54,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_54),converse(X1))),join(one,join(converse(X_54),converse(X1)))) ),[1,1],$fot(converse(join(X_54,X1)))]]) ).
cnf(refute_0_786,plain,
( join(converse(X_54),converse(X1)) != converse(join(X_54,X1))
| join(one,join(converse(X_54),converse(X1))) = join(one,converse(join(X_54,X1))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_54),converse(X1))),join(one,join(converse(X_54),converse(X1)))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
join(one,join(converse(X_54),converse(X1))) = join(one,converse(join(X_54,X1))),
inference(resolve,[$cnf( $equal(join(converse(X_54),converse(X1)),converse(join(X_54,X1))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
( join(one,converse(join(X_54,X1))) != converse(join(one,join(X_54,X1)))
| join(one,join(converse(X_54),converse(X1))) != join(one,converse(join(X_54,X1)))
| join(one,join(converse(X_54),converse(X1))) = converse(join(one,join(X_54,X1))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(converse(X_54),converse(X1))))),bind(Y,$fot(join(one,converse(join(X_54,X1))))),bind(Z,$fot(converse(join(one,join(X_54,X1)))))]]) ).
cnf(refute_0_789,plain,
( join(one,converse(join(X_54,X1))) != converse(join(one,join(X_54,X1)))
| join(one,join(converse(X_54),converse(X1))) = converse(join(one,join(X_54,X1))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_54),converse(X1))),join(one,converse(join(X_54,X1)))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
join(one,join(converse(X_54),converse(X1))) = converse(join(one,join(X_54,X1))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_54,X1))),converse(join(one,join(X_54,X1)))) )],[refute_0_780,refute_0_789]) ).
cnf(refute_0_791,plain,
( converse(join(X_54,join(one,X1))) != join(one,join(converse(X_54),converse(X1)))
| join(one,join(converse(X_54),converse(X1))) != converse(join(one,join(X_54,X1)))
| converse(join(X_54,join(one,X1))) = converse(join(one,join(X_54,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_54,join(one,X1))),converse(join(one,join(X_54,X1)))) ),[0],$fot(join(one,join(converse(X_54),converse(X1))))]]) ).
cnf(refute_0_792,plain,
( converse(join(X_54,join(one,X1))) != join(one,join(converse(X_54),converse(X1)))
| converse(join(X_54,join(one,X1))) = converse(join(one,join(X_54,X1))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_54),converse(X1))),converse(join(one,join(X_54,X1)))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( converse(join(join(X_54,one),X1)) != join(one,join(converse(X_54),converse(X1)))
| converse(join(X_54,join(one,X1))) = converse(join(one,join(X_54,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_54,join(one,X1))),join(one,join(converse(X_54),converse(X1)))) )],[refute_0_775,refute_0_792]) ).
cnf(refute_0_794,plain,
converse(join(X_54,join(one,X1))) = converse(join(one,join(X_54,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_54,one),X1)),join(one,join(converse(X_54),converse(X1)))) )],[refute_0_768,refute_0_793]) ).
cnf(refute_0_795,plain,
converse(join(converse(X_68),join(one,one))) = converse(join(one,join(converse(X_68),one))),
inference(subst,[],[refute_0_794:[bind(X1,$fot(one)),bind(X_54,$fot(converse(X_68)))]]) ).
cnf(refute_0_796,plain,
( converse(join(converse(X_68),join(one,one))) != converse(join(one,join(converse(X_68),one)))
| converse(join(one,join(converse(X_68),one))) != join(one,join(converse(one),X_68))
| converse(join(converse(X_68),join(one,one))) = join(one,join(converse(one),X_68)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(X_68),join(one,one))))),bind(Y,$fot(converse(join(one,join(converse(X_68),one))))),bind(Z,$fot(join(one,join(converse(one),X_68))))]]) ).
cnf(refute_0_797,plain,
( converse(join(one,join(converse(X_68),one))) != join(one,join(converse(one),X_68))
| converse(join(converse(X_68),join(one,one))) = join(one,join(converse(one),X_68)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),converse(join(one,join(converse(X_68),one)))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
converse(join(converse(X_68),join(one,one))) = join(one,join(converse(one),X_68)),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_68),one))),join(one,join(converse(one),X_68))) )],[refute_0_761,refute_0_797]) ).
cnf(refute_0_799,plain,
( converse(join(converse(X_68),join(one,one))) != join(one,join(converse(one),X_68))
| join(one,join(converse(one),X_68)) != join(one,join(one,X_68))
| converse(join(converse(X_68),join(one,one))) = join(one,join(one,X_68)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(X_68),join(one,one))))),bind(Y,$fot(join(one,join(converse(one),X_68)))),bind(Z,$fot(join(one,join(one,X_68))))]]) ).
cnf(refute_0_800,plain,
( join(one,join(converse(one),X_68)) != join(one,join(one,X_68))
| converse(join(converse(X_68),join(one,one))) = join(one,join(one,X_68)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),join(one,join(converse(one),X_68))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
converse(join(converse(X_68),join(one,one))) = join(one,join(one,X_68)),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X_68)),join(one,join(one,X_68))) )],[refute_0_686,refute_0_800]) ).
cnf(refute_0_802,plain,
( converse(join(converse(X_68),join(one,one))) != join(X_68,join(one,one))
| converse(join(converse(X_68),join(one,one))) != join(one,join(one,X_68))
| join(one,join(one,X_68)) = join(X_68,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),join(X_68,join(one,one))) ),[0],$fot(join(one,join(one,X_68)))]]) ).
cnf(refute_0_803,plain,
( converse(join(converse(X_68),join(one,one))) != join(X_68,join(one,one))
| join(one,join(one,X_68)) = join(X_68,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),join(one,join(one,X_68))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
join(one,join(one,X_68)) = join(X_68,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(one,one))),join(X_68,join(one,one))) )],[refute_0_678,refute_0_803]) ).
cnf(refute_0_805,plain,
join(X_108,X_108) = complement(complement(join(X_108,X_108))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(join(X_108,X_108)))]]) ).
cnf(refute_0_806,plain,
meet(X_84,X_83) = meet(X_83,X_84),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_84)),bind(X_15,$fot(X_83))]]) ).
cnf(refute_0_807,plain,
( meet(X_84,X_83) != meet(X_83,X_84)
| meet(X_83,X_84) = meet(X_84,X_83) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_84,X_83))),bind(Y,$fot(meet(X_83,X_84)))]]) ).
cnf(refute_0_808,plain,
meet(X_83,X_84) = meet(X_84,X_83),
inference(resolve,[$cnf( $equal(meet(X_84,X_83),meet(X_83,X_84)) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
( X_83 != join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))
| meet(X_83,X_84) != meet(X_84,X_83)
| X_83 = join(meet(X_84,X_83),complement(join(complement(X_83),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))) ),[1,0],$fot(meet(X_84,X_83))]]) ).
cnf(refute_0_810,plain,
( X_83 != join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))
| X_83 = join(meet(X_84,X_83),complement(join(complement(X_83),X_84))) ),
inference(resolve,[$cnf( $equal(meet(X_83,X_84),meet(X_84,X_83)) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
X_83 = join(meet(X_84,X_83),complement(join(complement(X_83),X_84))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,X_84),complement(join(complement(X_83),X_84)))) )],[refute_0_296,refute_0_810]) ).
cnf(refute_0_812,plain,
complement(X_107) = join(meet(X_107,complement(X_107)),complement(join(complement(complement(X_107)),X_107))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(complement(X_107))),bind(X_84,$fot(X_107))]]) ).
cnf(refute_0_813,plain,
zero = meet(X_107,complement(X_107)),
inference(subst,[],[refute_0_101:[bind(X0,$fot(X_107))]]) ).
cnf(refute_0_814,plain,
( zero != meet(X_107,complement(X_107))
| meet(X_107,complement(X_107)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_107,complement(X_107))))]]) ).
cnf(refute_0_815,plain,
meet(X_107,complement(X_107)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_107,complement(X_107))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
( complement(X_107) != join(meet(X_107,complement(X_107)),complement(join(complement(complement(X_107)),X_107)))
| meet(X_107,complement(X_107)) != zero
| complement(X_107) = join(zero,complement(join(complement(complement(X_107)),X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_107),join(meet(X_107,complement(X_107)),complement(join(complement(complement(X_107)),X_107)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_817,plain,
( complement(X_107) != join(meet(X_107,complement(X_107)),complement(join(complement(complement(X_107)),X_107)))
| complement(X_107) = join(zero,complement(join(complement(complement(X_107)),X_107))) ),
inference(resolve,[$cnf( $equal(meet(X_107,complement(X_107)),zero) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
complement(X_107) = join(zero,complement(join(complement(complement(X_107)),X_107))),
inference(resolve,[$cnf( $equal(complement(X_107),join(meet(X_107,complement(X_107)),complement(join(complement(complement(X_107)),X_107)))) )],[refute_0_812,refute_0_817]) ).
cnf(refute_0_819,plain,
complement(complement(X_107)) = X_107,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_107))]]) ).
cnf(refute_0_820,plain,
join(X_107,complement(complement(X_107))) = join(X_107,complement(complement(X_107))),
introduced(tautology,[refl,[$fot(join(X_107,complement(complement(X_107))))]]) ).
cnf(refute_0_821,plain,
( complement(complement(X_107)) != X_107
| join(X_107,complement(complement(X_107))) != join(X_107,complement(complement(X_107)))
| join(X_107,complement(complement(X_107))) = join(X_107,X_107) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_107,complement(complement(X_107))),join(X_107,complement(complement(X_107)))) ),[1,1],$fot(X_107)]]) ).
cnf(refute_0_822,plain,
( complement(complement(X_107)) != X_107
| join(X_107,complement(complement(X_107))) = join(X_107,X_107) ),
inference(resolve,[$cnf( $equal(join(X_107,complement(complement(X_107))),join(X_107,complement(complement(X_107)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
join(X_107,complement(complement(X_107))) = join(X_107,X_107),
inference(resolve,[$cnf( $equal(complement(complement(X_107)),X_107) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
join(complement(complement(X_107)),X_107) = join(X_107,complement(complement(X_107))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_107)),bind(X1,$fot(complement(complement(X_107))))]]) ).
cnf(refute_0_825,plain,
( join(X_107,complement(complement(X_107))) != join(X_107,X_107)
| join(complement(complement(X_107)),X_107) != join(X_107,complement(complement(X_107)))
| join(complement(complement(X_107)),X_107) = join(X_107,X_107) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(X_107)),X_107))),bind(Y,$fot(join(X_107,complement(complement(X_107))))),bind(Z,$fot(join(X_107,X_107)))]]) ).
cnf(refute_0_826,plain,
( join(X_107,complement(complement(X_107))) != join(X_107,X_107)
| join(complement(complement(X_107)),X_107) = join(X_107,X_107) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_107)),X_107),join(X_107,complement(complement(X_107)))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
join(complement(complement(X_107)),X_107) = join(X_107,X_107),
inference(resolve,[$cnf( $equal(join(X_107,complement(complement(X_107))),join(X_107,X_107)) )],[refute_0_823,refute_0_826]) ).
cnf(refute_0_828,plain,
complement(join(complement(complement(X_107)),X_107)) = complement(join(complement(complement(X_107)),X_107)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_107)),X_107)))]]) ).
cnf(refute_0_829,plain,
( complement(join(complement(complement(X_107)),X_107)) != complement(join(complement(complement(X_107)),X_107))
| join(complement(complement(X_107)),X_107) != join(X_107,X_107)
| complement(join(complement(complement(X_107)),X_107)) = complement(join(X_107,X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_107)),X_107)),complement(join(complement(complement(X_107)),X_107))) ),[1,0],$fot(join(X_107,X_107))]]) ).
cnf(refute_0_830,plain,
( join(complement(complement(X_107)),X_107) != join(X_107,X_107)
| complement(join(complement(complement(X_107)),X_107)) = complement(join(X_107,X_107)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_107)),X_107)),complement(join(complement(complement(X_107)),X_107))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
complement(join(complement(complement(X_107)),X_107)) = complement(join(X_107,X_107)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_107)),X_107),join(X_107,X_107)) )],[refute_0_827,refute_0_830]) ).
cnf(refute_0_832,plain,
join(zero,complement(join(complement(complement(X_107)),X_107))) = complement(join(complement(complement(X_107)),X_107)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(complement(join(complement(complement(X_107)),X_107))))]]) ).
cnf(refute_0_833,plain,
( complement(join(complement(complement(X_107)),X_107)) != complement(join(X_107,X_107))
| join(zero,complement(join(complement(complement(X_107)),X_107))) != complement(join(complement(complement(X_107)),X_107))
| join(zero,complement(join(complement(complement(X_107)),X_107))) = complement(join(X_107,X_107)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,complement(join(complement(complement(X_107)),X_107))))),bind(Y,$fot(complement(join(complement(complement(X_107)),X_107)))),bind(Z,$fot(complement(join(X_107,X_107))))]]) ).
cnf(refute_0_834,plain,
( complement(join(complement(complement(X_107)),X_107)) != complement(join(X_107,X_107))
| join(zero,complement(join(complement(complement(X_107)),X_107))) = complement(join(X_107,X_107)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_107)),X_107))),complement(join(complement(complement(X_107)),X_107))) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
join(zero,complement(join(complement(complement(X_107)),X_107))) = complement(join(X_107,X_107)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_107)),X_107)),complement(join(X_107,X_107))) )],[refute_0_831,refute_0_834]) ).
cnf(refute_0_836,plain,
( complement(X_107) != join(zero,complement(join(complement(complement(X_107)),X_107)))
| join(zero,complement(join(complement(complement(X_107)),X_107))) != complement(join(X_107,X_107))
| complement(X_107) = complement(join(X_107,X_107)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_107),complement(join(X_107,X_107))) ),[0],$fot(join(zero,complement(join(complement(complement(X_107)),X_107))))]]) ).
cnf(refute_0_837,plain,
( complement(X_107) != join(zero,complement(join(complement(complement(X_107)),X_107)))
| complement(X_107) = complement(join(X_107,X_107)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_107)),X_107))),complement(join(X_107,X_107))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
complement(X_107) = complement(join(X_107,X_107)),
inference(resolve,[$cnf( $equal(complement(X_107),join(zero,complement(join(complement(complement(X_107)),X_107)))) )],[refute_0_818,refute_0_837]) ).
cnf(refute_0_839,plain,
complement(X_108) = complement(join(X_108,X_108)),
inference(subst,[],[refute_0_838:[bind(X_107,$fot(X_108))]]) ).
cnf(refute_0_840,plain,
( complement(X_108) != complement(join(X_108,X_108))
| complement(join(X_108,X_108)) = complement(X_108) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_108))),bind(Y,$fot(complement(join(X_108,X_108))))]]) ).
cnf(refute_0_841,plain,
complement(join(X_108,X_108)) = complement(X_108),
inference(resolve,[$cnf( $equal(complement(X_108),complement(join(X_108,X_108))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
( complement(join(X_108,X_108)) != complement(X_108)
| join(X_108,X_108) != complement(complement(join(X_108,X_108)))
| join(X_108,X_108) = complement(complement(X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_108,X_108),complement(complement(join(X_108,X_108)))) ),[1,0],$fot(complement(X_108))]]) ).
cnf(refute_0_843,plain,
( join(X_108,X_108) != complement(complement(join(X_108,X_108)))
| join(X_108,X_108) = complement(complement(X_108)) ),
inference(resolve,[$cnf( $equal(complement(join(X_108,X_108)),complement(X_108)) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
join(X_108,X_108) = complement(complement(X_108)),
inference(resolve,[$cnf( $equal(join(X_108,X_108),complement(complement(join(X_108,X_108)))) )],[refute_0_805,refute_0_843]) ).
cnf(refute_0_845,plain,
complement(complement(X_108)) = X_108,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_108))]]) ).
cnf(refute_0_846,plain,
( complement(complement(X_108)) != X_108
| join(X_108,X_108) != complement(complement(X_108))
| join(X_108,X_108) = X_108 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_108,X_108),complement(complement(X_108))) ),[1],$fot(X_108)]]) ).
cnf(refute_0_847,plain,
( join(X_108,X_108) != complement(complement(X_108))
| join(X_108,X_108) = X_108 ),
inference(resolve,[$cnf( $equal(complement(complement(X_108)),X_108) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
join(X_108,X_108) = X_108,
inference(resolve,[$cnf( $equal(join(X_108,X_108),complement(complement(X_108))) )],[refute_0_844,refute_0_847]) ).
cnf(refute_0_849,plain,
join(one,one) = one,
inference(subst,[],[refute_0_848:[bind(X_108,$fot(one))]]) ).
cnf(refute_0_850,plain,
join(X_68,join(one,one)) = join(X_68,join(one,one)),
introduced(tautology,[refl,[$fot(join(X_68,join(one,one)))]]) ).
cnf(refute_0_851,plain,
( join(X_68,join(one,one)) != join(X_68,join(one,one))
| join(one,one) != one
| join(X_68,join(one,one)) = join(X_68,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_68,join(one,one)),join(X_68,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_852,plain,
( join(one,one) != one
| join(X_68,join(one,one)) = join(X_68,one) ),
inference(resolve,[$cnf( $equal(join(X_68,join(one,one)),join(X_68,join(one,one))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
join(X_68,join(one,one)) = join(X_68,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
( join(X_68,join(one,one)) != join(X_68,one)
| join(one,join(one,X_68)) != join(X_68,join(one,one))
| join(one,join(one,X_68)) = join(X_68,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,X_68)),join(X_68,join(one,one))) ),[1],$fot(join(X_68,one))]]) ).
cnf(refute_0_855,plain,
( join(one,join(one,X_68)) != join(X_68,join(one,one))
| join(one,join(one,X_68)) = join(X_68,one) ),
inference(resolve,[$cnf( $equal(join(X_68,join(one,one)),join(X_68,one)) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
join(one,join(one,X_68)) = join(X_68,one),
inference(resolve,[$cnf( $equal(join(one,join(one,X_68)),join(X_68,join(one,one))) )],[refute_0_804,refute_0_855]) ).
cnf(refute_0_857,plain,
join(X1,join(X1,X2)) = join(join(X1,X1),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_858,plain,
join(X1,X1) = X1,
inference(subst,[],[refute_0_848:[bind(X_108,$fot(X1))]]) ).
cnf(refute_0_859,plain,
( join(X1,X1) != X1
| join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_860,plain,
( join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(X1,X1),X1) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
join(one,join(one,X_68)) = join(one,X_68),
inference(subst,[],[refute_0_861:[bind(X1,$fot(one)),bind(X2,$fot(X_68))]]) ).
cnf(refute_0_863,plain,
( join(one,join(one,X_68)) != join(X_68,one)
| join(one,join(one,X_68)) != join(one,X_68)
| join(one,X_68) = join(X_68,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,X_68)),join(X_68,one)) ),[0],$fot(join(one,X_68))]]) ).
cnf(refute_0_864,plain,
( join(one,join(one,X_68)) != join(X_68,one)
| join(one,X_68) = join(X_68,one) ),
inference(resolve,[$cnf( $equal(join(one,join(one,X_68)),join(one,X_68)) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
join(one,X_68) = join(X_68,one),
inference(resolve,[$cnf( $equal(join(one,join(one,X_68)),join(X_68,one)) )],[refute_0_856,refute_0_864]) ).
cnf(refute_0_866,plain,
( join(one,X_68) != join(X_68,one)
| join(X_68,one) = join(one,X_68) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,X_68))),bind(Y,$fot(join(X_68,one)))]]) ).
cnf(refute_0_867,plain,
join(X_68,one) = join(one,X_68),
inference(resolve,[$cnf( $equal(join(one,X_68),join(X_68,one)) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
join(complement(X_178),one) = join(one,complement(X_178)),
inference(subst,[],[refute_0_867:[bind(X_68,$fot(complement(X_178)))]]) ).
cnf(refute_0_869,plain,
complement(join(complement(X_178),one)) = complement(join(complement(X_178),one)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_178),one)))]]) ).
cnf(refute_0_870,plain,
( complement(join(complement(X_178),one)) != complement(join(complement(X_178),one))
| join(complement(X_178),one) != join(one,complement(X_178))
| complement(join(complement(X_178),one)) = complement(join(one,complement(X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_178),one)),complement(join(complement(X_178),one))) ),[1,0],$fot(join(one,complement(X_178)))]]) ).
cnf(refute_0_871,plain,
( join(complement(X_178),one) != join(one,complement(X_178))
| complement(join(complement(X_178),one)) = complement(join(one,complement(X_178))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_178),one)),complement(join(complement(X_178),one))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
complement(join(complement(X_178),one)) = complement(join(one,complement(X_178))),
inference(resolve,[$cnf( $equal(join(complement(X_178),one),join(one,complement(X_178))) )],[refute_0_868,refute_0_871]) ).
cnf(refute_0_873,plain,
( complement(join(complement(X_178),one)) != complement(join(one,complement(X_178)))
| meet(X_178,complement(one)) != complement(join(complement(X_178),one))
| meet(X_178,complement(one)) = complement(join(one,complement(X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(one)),complement(join(complement(X_178),one))) ),[1],$fot(complement(join(one,complement(X_178))))]]) ).
cnf(refute_0_874,plain,
( meet(X_178,complement(one)) != complement(join(complement(X_178),one))
| meet(X_178,complement(one)) = complement(join(one,complement(X_178))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_178),one)),complement(join(one,complement(X_178)))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
( meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))) != complement(join(complement(X_178),one))
| meet(X_178,complement(one)) = complement(join(one,complement(X_178))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(one)),complement(join(complement(X_178),one))) )],[refute_0_662,refute_0_874]) ).
cnf(refute_0_876,plain,
meet(X_178,complement(one)) = complement(join(one,complement(X_178))),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))))),complement(join(complement(X_178),one))) )],[refute_0_656,refute_0_875]) ).
cnf(refute_0_877,plain,
meet(converse(skolemFOFtoCNF_X0),complement(one)) = complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_876:[bind(X_178,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_878,plain,
converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_43:[bind(X0,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_879,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_880,plain,
top = join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_560:[bind(X_68,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_881,plain,
( top != join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_882,plain,
join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) != top
| join(one,top) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_884,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(one,top) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(one,top) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_879,refute_0_884]) ).
cnf(refute_0_886,plain,
( join(one,top) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(one,top) != top
| top = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_887,plain,
( join(one,top) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| top = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_886]) ).
cnf(refute_0_888,plain,
converse(join(complement(converse(skolemFOFtoCNF_X0)),one)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_734:[bind(X_21,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_889,plain,
join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(join(complement(converse(skolemFOFtoCNF_X0)),one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_890,plain,
( converse(join(complement(converse(skolemFOFtoCNF_X0)),one)) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(join(complement(converse(skolemFOFtoCNF_X0)),one))
| join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(complement(converse(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_891,plain,
( converse(join(complement(converse(skolemFOFtoCNF_X0)),one)) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(skolemFOFtoCNF_X0)),one)),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_888,refute_0_891]) ).
cnf(refute_0_893,plain,
( join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| top != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| top = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[1],$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_894,plain,
( top != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| top = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
( join(one,top) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| top = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_887,refute_0_894]) ).
cnf(refute_0_896,plain,
top = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_885,refute_0_895]) ).
cnf(refute_0_897,plain,
( top != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_898,plain,
converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) != top
| converse(top) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_900,plain,
( converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(top) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
converse(top) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_878,refute_0_900]) ).
cnf(refute_0_902,plain,
( converse(top) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(top) != top
| top = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(top)]]) ).
cnf(refute_0_903,plain,
( converse(top) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| top = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_902]) ).
cnf(refute_0_904,plain,
top = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_901,refute_0_903]) ).
cnf(refute_0_905,plain,
( top != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,complement(converse(skolemFOFtoCNF_X0))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_906,plain,
join(one,complement(converse(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
( join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| meet(converse(skolemFOFtoCNF_X0),complement(one)) != complement(join(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(skolemFOFtoCNF_X0),complement(one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_908,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(one)) != complement(join(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(skolemFOFtoCNF_X0),complement(one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
meet(converse(skolemFOFtoCNF_X0),complement(one)) = complement(top),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_877,refute_0_908]) ).
cnf(refute_0_910,plain,
meet(converse(skolemFOFtoCNF_X0),complement(one)) = meet(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(one))),bind(X_15,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_911,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(one)) != complement(top)
| meet(converse(skolemFOFtoCNF_X0),complement(one)) != meet(complement(one),converse(skolemFOFtoCNF_X0))
| meet(complement(one),converse(skolemFOFtoCNF_X0)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(one)),complement(top)) ),[0],$fot(meet(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_912,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(one)) != complement(top)
| meet(complement(one),converse(skolemFOFtoCNF_X0)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(one)),meet(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
( complement(top) != zero
| meet(complement(one),converse(skolemFOFtoCNF_X0)) != complement(top)
| meet(complement(one),converse(skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),converse(skolemFOFtoCNF_X0)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_914,plain,
( meet(complement(one),converse(skolemFOFtoCNF_X0)) != complement(top)
| meet(complement(one),converse(skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_913]) ).
cnf(refute_0_915,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(one)) != complement(top)
| meet(complement(one),converse(skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(skolemFOFtoCNF_X0)),complement(top)) )],[refute_0_912,refute_0_914]) ).
cnf(refute_0_916,plain,
meet(complement(one),converse(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(one)),complement(top)) )],[refute_0_909,refute_0_915]) ).
cnf(refute_0_917,plain,
( complement(one) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0))))
| meet(complement(one),converse(skolemFOFtoCNF_X0)) != zero
| complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_918,plain,
( complement(one) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_293,refute_0_918]) ).
cnf(refute_0_920,plain,
join(join(zero,X_40),zero) = join(zero,join(zero,X_40)),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(zero,X_40))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_921,plain,
join(zero,join(zero,X_40)) = join(zero,X_40),
inference(subst,[],[refute_0_170:[bind(X2,$fot(X_40))]]) ).
cnf(refute_0_922,plain,
( join(join(zero,X_40),zero) != join(zero,join(zero,X_40))
| join(zero,join(zero,X_40)) != join(zero,X_40)
| join(join(zero,X_40),zero) = join(zero,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_40),zero),join(zero,X_40)) ),[0],$fot(join(zero,join(zero,X_40)))]]) ).
cnf(refute_0_923,plain,
( join(join(zero,X_40),zero) != join(zero,join(zero,X_40))
| join(join(zero,X_40),zero) = join(zero,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_40)),join(zero,X_40)) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
join(join(zero,X_40),zero) = join(zero,X_40),
inference(resolve,[$cnf( $equal(join(join(zero,X_40),zero),join(zero,join(zero,X_40))) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
join(join(zero,X_40),zero) = join(zero,join(X_40,zero)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(zero)),bind(X1,$fot(X_40)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_926,plain,
( join(join(zero,X_40),zero) != join(zero,X_40)
| join(join(zero,X_40),zero) != join(zero,join(X_40,zero))
| join(zero,join(X_40,zero)) = join(zero,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_40),zero),join(zero,X_40)) ),[0],$fot(join(zero,join(X_40,zero)))]]) ).
cnf(refute_0_927,plain,
( join(join(zero,X_40),zero) != join(zero,X_40)
| join(zero,join(X_40,zero)) = join(zero,X_40) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_40),zero),join(zero,join(X_40,zero))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
join(zero,join(X_40,zero)) = join(zero,X_40),
inference(resolve,[$cnf( $equal(join(join(zero,X_40),zero),join(zero,X_40)) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
join(zero,join(complement(complement(X_85)),zero)) = join(zero,complement(complement(X_85))),
inference(subst,[],[refute_0_928:[bind(X_40,$fot(complement(complement(X_85))))]]) ).
cnf(refute_0_930,plain,
( join(zero,complement(complement(X_85))) != X_85
| join(zero,join(complement(complement(X_85)),zero)) != join(zero,complement(complement(X_85)))
| join(zero,join(complement(complement(X_85)),zero)) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_85)),zero)),join(zero,complement(complement(X_85)))) ),[1],$fot(X_85)]]) ).
cnf(refute_0_931,plain,
( join(zero,join(complement(complement(X_85)),zero)) != join(zero,complement(complement(X_85)))
| join(zero,join(complement(complement(X_85)),zero)) = X_85 ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_85))),X_85) )],[refute_0_174,refute_0_930]) ).
cnf(refute_0_932,plain,
join(zero,join(complement(complement(X_85)),zero)) = X_85,
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_85)),zero)),join(zero,complement(complement(X_85)))) )],[refute_0_929,refute_0_931]) ).
cnf(refute_0_933,plain,
join(zero,join(complement(complement(X_85)),X2)) = join(join(zero,complement(complement(X_85))),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_85))))]]) ).
cnf(refute_0_934,plain,
( join(zero,complement(complement(X_85))) != X_85
| join(zero,join(complement(complement(X_85)),X2)) != join(join(zero,complement(complement(X_85))),X2)
| join(zero,join(complement(complement(X_85)),X2)) = join(X_85,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_85)),X2)),join(join(zero,complement(complement(X_85))),X2)) ),[1,0],$fot(X_85)]]) ).
cnf(refute_0_935,plain,
( join(zero,join(complement(complement(X_85)),X2)) != join(join(zero,complement(complement(X_85))),X2)
| join(zero,join(complement(complement(X_85)),X2)) = join(X_85,X2) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_85))),X_85) )],[refute_0_174,refute_0_934]) ).
cnf(refute_0_936,plain,
join(zero,join(complement(complement(X_85)),X2)) = join(X_85,X2),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_85)),X2)),join(join(zero,complement(complement(X_85))),X2)) )],[refute_0_933,refute_0_935]) ).
cnf(refute_0_937,plain,
join(zero,join(complement(complement(X_85)),zero)) = join(X_85,zero),
inference(subst,[],[refute_0_936:[bind(X2,$fot(zero))]]) ).
cnf(refute_0_938,plain,
( join(zero,join(complement(complement(X_85)),zero)) != X_85
| join(zero,join(complement(complement(X_85)),zero)) != join(X_85,zero)
| join(X_85,zero) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_85)),zero)),X_85) ),[0],$fot(join(X_85,zero))]]) ).
cnf(refute_0_939,plain,
( join(zero,join(complement(complement(X_85)),zero)) != X_85
| join(X_85,zero) = X_85 ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_85)),zero)),join(X_85,zero)) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
join(X_85,zero) = X_85,
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_85)),zero)),X_85) )],[refute_0_932,refute_0_939]) ).
cnf(refute_0_941,plain,
join(complement(converse(skolemFOFtoCNF_X0)),zero) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_940:[bind(X_85,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_942,plain,
meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)))]]) ).
cnf(refute_0_943,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),zero) != complement(converse(skolemFOFtoCNF_X0))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_944,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),zero) != complement(converse(skolemFOFtoCNF_X0))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),zero),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_941,refute_0_944]) ).
cnf(refute_0_946,plain,
( complement(one) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)))]]) ).
cnf(refute_0_947,plain,
( complement(one) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),zero))) )],[refute_0_919,refute_0_947]) ).
cnf(refute_0_949,plain,
( complement(one) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_950,plain,
meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(one)
| complement(converse(skolemFOFtoCNF_X0)) = join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_952,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_260,refute_0_952]) ).
cnf(refute_0_954,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),one) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_955,plain,
join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_956,plain,
( join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) != join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| meet(complement(converse(skolemFOFtoCNF_X0)),one) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)),join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_957,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),one) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)),join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_954,refute_0_957]) ).
cnf(refute_0_959,plain,
join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) = join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_960,plain,
( join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) != join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_961,plain,
( join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)),join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),one)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_958,refute_0_961]) ).
cnf(refute_0_963,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one))
| join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)))]]) ).
cnf(refute_0_964,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(complement(converse(skolemFOFtoCNF_X0)),one),complement(one))) )],[refute_0_953,refute_0_964]) ).
cnf(refute_0_966,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_967,plain,
join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
( join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_969,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_231,refute_0_969]) ).
cnf(refute_0_971,plain,
join(complement(X_187),X_188) = complement(complement(join(complement(X_187),X_188))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(join(complement(X_187),X_188)))]]) ).
cnf(refute_0_972,plain,
meet(X_187,complement(X_188)) = complement(join(complement(X_187),X_188)),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(X_187)),bind(X_180,$fot(X_188))]]) ).
cnf(refute_0_973,plain,
( meet(X_187,complement(X_188)) != complement(join(complement(X_187),X_188))
| complement(join(complement(X_187),X_188)) = meet(X_187,complement(X_188)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_187,complement(X_188)))),bind(Y,$fot(complement(join(complement(X_187),X_188))))]]) ).
cnf(refute_0_974,plain,
complement(join(complement(X_187),X_188)) = meet(X_187,complement(X_188)),
inference(resolve,[$cnf( $equal(meet(X_187,complement(X_188)),complement(join(complement(X_187),X_188))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
( complement(join(complement(X_187),X_188)) != meet(X_187,complement(X_188))
| join(complement(X_187),X_188) != complement(complement(join(complement(X_187),X_188)))
| join(complement(X_187),X_188) = complement(meet(X_187,complement(X_188))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_187),X_188),complement(complement(join(complement(X_187),X_188)))) ),[1,0],$fot(meet(X_187,complement(X_188)))]]) ).
cnf(refute_0_976,plain,
( join(complement(X_187),X_188) != complement(complement(join(complement(X_187),X_188)))
| join(complement(X_187),X_188) = complement(meet(X_187,complement(X_188))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_187),X_188)),meet(X_187,complement(X_188))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
join(complement(X_187),X_188) = complement(meet(X_187,complement(X_188))),
inference(resolve,[$cnf( $equal(join(complement(X_187),X_188),complement(complement(join(complement(X_187),X_188)))) )],[refute_0_971,refute_0_976]) ).
cnf(refute_0_978,plain,
( join(complement(X_187),X_188) != complement(meet(X_187,complement(X_188)))
| complement(meet(X_187,complement(X_188))) = join(complement(X_187),X_188) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(X_187),X_188))),bind(Y,$fot(complement(meet(X_187,complement(X_188)))))]]) ).
cnf(refute_0_979,plain,
complement(meet(X_187,complement(X_188))) = join(complement(X_187),X_188),
inference(resolve,[$cnf( $equal(join(complement(X_187),X_188),complement(meet(X_187,complement(X_188)))) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_979:[bind(X_187,$fot(one)),bind(X_188,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_981,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_982,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_983,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_980,refute_0_983]) ).
cnf(refute_0_985,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_986,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_988,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_989,plain,
( meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_986,refute_0_989]) ).
cnf(refute_0_991,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_970,refute_0_990]) ).
cnf(refute_0_992,plain,
join(converse(X_20),converse(X_19)) = join(converse(X_19),converse(X_20)),
inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(X_20))),bind(X1,$fot(converse(X_19)))]]) ).
cnf(refute_0_993,plain,
converse(join(X_19,X_20)) = join(converse(X_19),converse(X_20)),
inference(subst,[],[refute_0_306:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_994,plain,
( converse(join(X_19,X_20)) != join(converse(X_19),converse(X_20))
| join(converse(X_19),converse(X_20)) = converse(join(X_19,X_20)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_19,X_20)))),bind(Y,$fot(join(converse(X_19),converse(X_20))))]]) ).
cnf(refute_0_995,plain,
join(converse(X_19),converse(X_20)) = converse(join(X_19,X_20)),
inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),join(converse(X_19),converse(X_20))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
( join(converse(X_19),converse(X_20)) != converse(join(X_19,X_20))
| join(converse(X_20),converse(X_19)) != join(converse(X_19),converse(X_20))
| join(converse(X_20),converse(X_19)) = converse(join(X_19,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_20),converse(X_19)),join(converse(X_19),converse(X_20))) ),[1],$fot(converse(join(X_19,X_20)))]]) ).
cnf(refute_0_997,plain,
( join(converse(X_20),converse(X_19)) != join(converse(X_19),converse(X_20))
| join(converse(X_20),converse(X_19)) = converse(join(X_19,X_20)) ),
inference(resolve,[$cnf( $equal(join(converse(X_19),converse(X_20)),converse(join(X_19,X_20))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
join(converse(X_20),converse(X_19)) = converse(join(X_19,X_20)),
inference(resolve,[$cnf( $equal(join(converse(X_20),converse(X_19)),join(converse(X_19),converse(X_20))) )],[refute_0_992,refute_0_997]) ).
cnf(refute_0_999,plain,
join(converse(X_20),converse(X_19)) = converse(join(X_20,X_19)),
inference(subst,[],[refute_0_782:[bind(X0,$fot(X_20)),bind(X1,$fot(X_19))]]) ).
cnf(refute_0_1000,plain,
( join(converse(X_20),converse(X_19)) != converse(join(X_19,X_20))
| join(converse(X_20),converse(X_19)) != converse(join(X_20,X_19))
| converse(join(X_20,X_19)) = converse(join(X_19,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_20),converse(X_19)),converse(join(X_19,X_20))) ),[0],$fot(converse(join(X_20,X_19)))]]) ).
cnf(refute_0_1001,plain,
( join(converse(X_20),converse(X_19)) != converse(join(X_19,X_20))
| converse(join(X_20,X_19)) = converse(join(X_19,X_20)) ),
inference(resolve,[$cnf( $equal(join(converse(X_20),converse(X_19)),converse(join(X_20,X_19))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
converse(join(X_20,X_19)) = converse(join(X_19,X_20)),
inference(resolve,[$cnf( $equal(join(converse(X_20),converse(X_19)),converse(join(X_19,X_20))) )],[refute_0_998,refute_0_1001]) ).
cnf(refute_0_1003,plain,
converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1004,plain,
converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1005,plain,
X_121 = join(meet(X_121,X_120),meet(complement(X_120),X_121)),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(X_120)),bind(X_97,$fot(X_121))]]) ).
cnf(refute_0_1006,plain,
meet(X_120,X_121) = meet(X_121,X_120),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_120)),bind(X_15,$fot(X_121))]]) ).
cnf(refute_0_1007,plain,
( meet(X_120,X_121) != meet(X_121,X_120)
| meet(X_121,X_120) = meet(X_120,X_121) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_120,X_121))),bind(Y,$fot(meet(X_121,X_120)))]]) ).
cnf(refute_0_1008,plain,
meet(X_121,X_120) = meet(X_120,X_121),
inference(resolve,[$cnf( $equal(meet(X_120,X_121),meet(X_121,X_120)) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( X_121 != join(meet(X_121,X_120),meet(complement(X_120),X_121))
| meet(X_121,X_120) != meet(X_120,X_121)
| X_121 = join(meet(X_120,X_121),meet(complement(X_120),X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(X_121,join(meet(X_121,X_120),meet(complement(X_120),X_121))) ),[1,0],$fot(meet(X_120,X_121))]]) ).
cnf(refute_0_1010,plain,
( X_121 != join(meet(X_121,X_120),meet(complement(X_120),X_121))
| X_121 = join(meet(X_120,X_121),meet(complement(X_120),X_121)) ),
inference(resolve,[$cnf( $equal(meet(X_121,X_120),meet(X_120,X_121)) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
X_121 = join(meet(X_120,X_121),meet(complement(X_120),X_121)),
inference(resolve,[$cnf( $equal(X_121,join(meet(X_121,X_120),meet(complement(X_120),X_121))) )],[refute_0_1005,refute_0_1010]) ).
cnf(refute_0_1012,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(one)),bind(X_121,$fot(join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1013,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(one),converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1014,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_991,refute_0_1013]) ).
cnf(refute_0_1015,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_1012,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1017,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(complement(one),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1019,plain,
( converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(complement(one),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1004,refute_0_1019]) ).
cnf(refute_0_1021,plain,
join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(X_26,join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))]]) ).
cnf(refute_0_1022,plain,
converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_1023,plain,
converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero)))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(composition(top,zero))),bind(X_83,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1024,plain,
meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = complement(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(converse(skolemFOFtoCNF_X0))),bind(X_180,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1025,plain,
join(complement(one),join(composition(converse(top),zero),X2)) = join(join(complement(one),composition(converse(top),zero)),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(converse(top),zero)))]]) ).
cnf(refute_0_1026,plain,
join(complement(one),composition(converse(X_36),complement(composition(X_36,one)))) = complement(one),
inference(subst,[],[refute_0_39:[bind(X0,$fot(X_36)),bind(X1,$fot(one))]]) ).
cnf(refute_0_1027,plain,
composition(X_36,one) = X_36,
inference(subst,[],[refute_0_48:[bind(X0,$fot(X_36))]]) ).
cnf(refute_0_1028,plain,
( composition(X_36,one) != X_36
| join(complement(one),composition(converse(X_36),complement(composition(X_36,one)))) != complement(one)
| join(complement(one),composition(converse(X_36),complement(X_36))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_36),complement(composition(X_36,one)))),complement(one)) ),[0,1,1,0],$fot(X_36)]]) ).
cnf(refute_0_1029,plain,
( join(complement(one),composition(converse(X_36),complement(composition(X_36,one)))) != complement(one)
| join(complement(one),composition(converse(X_36),complement(X_36))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_36,one),X_36) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
join(complement(one),composition(converse(X_36),complement(X_36))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_36),complement(composition(X_36,one)))),complement(one)) )],[refute_0_1026,refute_0_1029]) ).
cnf(refute_0_1031,plain,
join(complement(one),composition(converse(top),complement(top))) = complement(one),
inference(subst,[],[refute_0_1030:[bind(X_36,$fot(top))]]) ).
cnf(refute_0_1032,plain,
( complement(top) != zero
| join(complement(one),composition(converse(top),complement(top))) != complement(one)
| join(complement(one),composition(converse(top),zero)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_1033,plain,
( join(complement(one),composition(converse(top),complement(top))) != complement(one)
| join(complement(one),composition(converse(top),zero)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1032]) ).
cnf(refute_0_1034,plain,
join(complement(one),composition(converse(top),zero)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) )],[refute_0_1031,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( join(complement(one),composition(converse(top),zero)) != complement(one)
| join(complement(one),join(composition(converse(top),zero),X2)) != join(join(complement(one),composition(converse(top),zero)),X2)
| join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(join(complement(one),composition(converse(top),zero)),X2)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1036,plain,
( join(complement(one),join(composition(converse(top),zero),X2)) != join(join(complement(one),composition(converse(top),zero)),X2)
| join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),complement(one)) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(join(complement(one),composition(converse(top),zero)),X2)) )],[refute_0_1025,refute_0_1036]) ).
cnf(refute_0_1038,plain,
composition(converse(top),zero) = composition(converse(top),zero),
introduced(tautology,[refl,[$fot(composition(converse(top),zero))]]) ).
cnf(refute_0_1039,plain,
( composition(converse(top),zero) != composition(converse(top),zero)
| converse(top) != top
| composition(converse(top),zero) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),zero),composition(converse(top),zero)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1040,plain,
( converse(top) != top
| composition(converse(top),zero) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(converse(top),zero),composition(converse(top),zero)) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
composition(converse(top),zero) = composition(top,zero),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_1040]) ).
cnf(refute_0_1042,plain,
join(composition(converse(top),zero),X2) = join(composition(converse(top),zero),X2),
introduced(tautology,[refl,[$fot(join(composition(converse(top),zero),X2))]]) ).
cnf(refute_0_1043,plain,
( composition(converse(top),zero) != composition(top,zero)
| join(composition(converse(top),zero),X2) != join(composition(converse(top),zero),X2)
| join(composition(converse(top),zero),X2) = join(composition(top,zero),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),zero),X2),join(composition(converse(top),zero),X2)) ),[1,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1044,plain,
( composition(converse(top),zero) != composition(top,zero)
| join(composition(converse(top),zero),X2) = join(composition(top,zero),X2) ),
inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),X2),join(composition(converse(top),zero),X2)) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
join(composition(converse(top),zero),X2) = join(composition(top,zero),X2),
inference(resolve,[$cnf( $equal(composition(converse(top),zero),composition(top,zero)) )],[refute_0_1041,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),join(composition(converse(top),zero),X2)),
introduced(tautology,[refl,[$fot(join(complement(one),join(composition(converse(top),zero),X2)))]]) ).
cnf(refute_0_1047,plain,
( join(complement(one),join(composition(converse(top),zero),X2)) != join(complement(one),join(composition(converse(top),zero),X2))
| join(composition(converse(top),zero),X2) != join(composition(top,zero),X2)
| join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),join(composition(top,zero),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(complement(one),join(composition(converse(top),zero),X2))) ),[1,1],$fot(join(composition(top,zero),X2))]]) ).
cnf(refute_0_1048,plain,
( join(composition(converse(top),zero),X2) != join(composition(top,zero),X2)
| join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),join(composition(top,zero),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(complement(one),join(composition(converse(top),zero),X2))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
join(complement(one),join(composition(converse(top),zero),X2)) = join(complement(one),join(composition(top,zero),X2)),
inference(resolve,[$cnf( $equal(join(composition(converse(top),zero),X2),join(composition(top,zero),X2)) )],[refute_0_1045,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( join(complement(one),join(composition(converse(top),zero),X2)) != join(complement(one),X2)
| join(complement(one),join(composition(converse(top),zero),X2)) != join(complement(one),join(composition(top,zero),X2))
| join(complement(one),join(composition(top,zero),X2)) = join(complement(one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(complement(one),X2)) ),[0],$fot(join(complement(one),join(composition(top,zero),X2)))]]) ).
cnf(refute_0_1051,plain,
( join(complement(one),join(composition(converse(top),zero),X2)) != join(complement(one),X2)
| join(complement(one),join(composition(top,zero),X2)) = join(complement(one),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(complement(one),join(composition(top,zero),X2))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(complement(one),join(composition(top,zero),X2)) = join(complement(one),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(converse(top),zero),X2)),join(complement(one),X2)) )],[refute_0_1037,refute_0_1051]) ).
cnf(refute_0_1053,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1052:[bind(X2,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1054,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1055,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_967,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1053,refute_0_1055]) ).
cnf(refute_0_1057,plain,
join(X_123,join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) = join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(X_123)),bind(X_26,$fot(X_124)),bind(X_27,$fot(meet(X_124,complement(converse(complement(converse(complement(X_124))))))))]]) ).
cnf(refute_0_1058,plain,
X_97 = join(meet(X_97,converse(complement(converse(complement(X_97))))),meet(X_97,complement(converse(complement(converse(complement(X_97))))))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(converse(complement(converse(complement(X_97)))))),bind(X_83,$fot(X_97))]]) ).
cnf(refute_0_1059,plain,
X_97 = meet(X_97,converse(complement(converse(complement(X_97))))),
inference(subst,[],[refute_0_581:[bind(X_83,$fot(X_97))]]) ).
cnf(refute_0_1060,plain,
( X_97 != meet(X_97,converse(complement(converse(complement(X_97)))))
| meet(X_97,converse(complement(converse(complement(X_97))))) = X_97 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_97)),bind(Y,$fot(meet(X_97,converse(complement(converse(complement(X_97)))))))]]) ).
cnf(refute_0_1061,plain,
meet(X_97,converse(complement(converse(complement(X_97))))) = X_97,
inference(resolve,[$cnf( $equal(X_97,meet(X_97,converse(complement(converse(complement(X_97)))))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( X_97 != join(meet(X_97,converse(complement(converse(complement(X_97))))),meet(X_97,complement(converse(complement(converse(complement(X_97)))))))
| meet(X_97,converse(complement(converse(complement(X_97))))) != X_97
| X_97 = join(X_97,meet(X_97,complement(converse(complement(converse(complement(X_97))))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,converse(complement(converse(complement(X_97))))),meet(X_97,complement(converse(complement(converse(complement(X_97)))))))) ),[1,0],$fot(X_97)]]) ).
cnf(refute_0_1063,plain,
( X_97 != join(meet(X_97,converse(complement(converse(complement(X_97))))),meet(X_97,complement(converse(complement(converse(complement(X_97)))))))
| X_97 = join(X_97,meet(X_97,complement(converse(complement(converse(complement(X_97))))))) ),
inference(resolve,[$cnf( $equal(meet(X_97,converse(complement(converse(complement(X_97))))),X_97) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
X_97 = join(X_97,meet(X_97,complement(converse(complement(converse(complement(X_97))))))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,converse(complement(converse(complement(X_97))))),meet(X_97,complement(converse(complement(converse(complement(X_97)))))))) )],[refute_0_1058,refute_0_1063]) ).
cnf(refute_0_1065,plain,
X_124 = join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),
inference(subst,[],[refute_0_1064:[bind(X_97,$fot(X_124))]]) ).
cnf(refute_0_1066,plain,
( X_124 != join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))
| join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = X_124 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_124)),bind(Y,$fot(join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))))]]) ).
cnf(refute_0_1067,plain,
join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = X_124,
inference(resolve,[$cnf( $equal(X_124,join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( join(X_123,join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) != join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))
| join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) != X_124
| join(X_123,X_124) = join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_123,join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))) ),[0,1],$fot(X_124)]]) ).
cnf(refute_0_1069,plain,
( join(X_123,join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) != join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))
| join(X_123,X_124) = join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) ),
inference(resolve,[$cnf( $equal(join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),X_124) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(X_123,X_124) = join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),
inference(resolve,[$cnf( $equal(join(X_123,join(X_124,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))) )],[refute_0_1057,refute_0_1069]) ).
cnf(refute_0_1071,plain,
join(X_123,zero) = X_123,
inference(subst,[],[refute_0_940:[bind(X_85,$fot(X_123))]]) ).
cnf(refute_0_1072,plain,
meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = complement(join(complement(X_187),converse(complement(converse(complement(X_187)))))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(X_187)),bind(X_180,$fot(converse(complement(converse(complement(X_187))))))]]) ).
cnf(refute_0_1073,plain,
top = join(complement(X_187),converse(complement(converse(complement(X_187))))),
inference(subst,[],[refute_0_560:[bind(X_68,$fot(complement(X_187)))]]) ).
cnf(refute_0_1074,plain,
( top != join(complement(X_187),converse(complement(converse(complement(X_187)))))
| join(complement(X_187),converse(complement(converse(complement(X_187))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_187),converse(complement(converse(complement(X_187)))))))]]) ).
cnf(refute_0_1075,plain,
join(complement(X_187),converse(complement(converse(complement(X_187))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_187),converse(complement(converse(complement(X_187)))))) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
( join(complement(X_187),converse(complement(converse(complement(X_187))))) != top
| meet(X_187,complement(converse(complement(converse(complement(X_187)))))) != complement(join(complement(X_187),converse(complement(converse(complement(X_187))))))
| meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_187,complement(converse(complement(converse(complement(X_187)))))),complement(join(complement(X_187),converse(complement(converse(complement(X_187))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1077,plain,
( meet(X_187,complement(converse(complement(converse(complement(X_187)))))) != complement(join(complement(X_187),converse(complement(converse(complement(X_187))))))
| meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_187),converse(complement(converse(complement(X_187))))),top) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_187,complement(converse(complement(converse(complement(X_187)))))),complement(join(complement(X_187),converse(complement(converse(complement(X_187))))))) )],[refute_0_1072,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( complement(top) != zero
| meet(X_187,complement(converse(complement(converse(complement(X_187)))))) != complement(top)
| meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_187,complement(converse(complement(converse(complement(X_187)))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1080,plain,
( meet(X_187,complement(converse(complement(converse(complement(X_187)))))) != complement(top)
| meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1079]) ).
cnf(refute_0_1081,plain,
meet(X_187,complement(converse(complement(converse(complement(X_187)))))) = zero,
inference(resolve,[$cnf( $equal(meet(X_187,complement(converse(complement(converse(complement(X_187)))))),complement(top)) )],[refute_0_1078,refute_0_1080]) ).
cnf(refute_0_1082,plain,
meet(X_124,complement(converse(complement(converse(complement(X_124)))))) = zero,
inference(subst,[],[refute_0_1081:[bind(X_187,$fot(X_124))]]) ).
cnf(refute_0_1083,plain,
join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),
introduced(tautology,[refl,[$fot(join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))]]) ).
cnf(refute_0_1084,plain,
( join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) != join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))
| meet(X_124,complement(converse(complement(converse(complement(X_124)))))) != zero
| join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = join(X_123,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1085,plain,
( meet(X_124,complement(converse(complement(converse(complement(X_124)))))) != zero
| join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = join(X_123,zero) ),
inference(resolve,[$cnf( $equal(join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = join(X_123,zero),
inference(resolve,[$cnf( $equal(meet(X_124,complement(converse(complement(converse(complement(X_124)))))),zero) )],[refute_0_1082,refute_0_1085]) ).
cnf(refute_0_1087,plain,
( join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) != join(X_123,zero)
| join(X_123,zero) != X_123
| join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = X_123 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))),bind(Y,$fot(join(X_123,zero))),bind(Z,$fot(X_123))]]) ).
cnf(refute_0_1088,plain,
( join(X_123,zero) != X_123
| join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = X_123 ),
inference(resolve,[$cnf( $equal(join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),join(X_123,zero)) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) = X_123,
inference(resolve,[$cnf( $equal(join(X_123,zero),X_123) )],[refute_0_1071,refute_0_1088]) ).
cnf(refute_0_1090,plain,
join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) = join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),
introduced(tautology,[refl,[$fot(join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))))]]) ).
cnf(refute_0_1091,plain,
( join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) != X_123
| join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) != join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))
| join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) = join(X_124,X_123) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))) ),[1,1],$fot(X_123)]]) ).
cnf(refute_0_1092,plain,
( join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))) != X_123
| join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) = join(X_124,X_123) ),
inference(resolve,[$cnf( $equal(join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) = join(X_124,X_123),
inference(resolve,[$cnf( $equal(join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))),X_123) )],[refute_0_1089,refute_0_1092]) ).
cnf(refute_0_1094,plain,
( join(X_123,X_124) != join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))
| join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))) != join(X_124,X_123)
| join(X_123,X_124) = join(X_124,X_123) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_123,X_124),join(X_124,X_123)) ),[0],$fot(join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))))]]) ).
cnf(refute_0_1095,plain,
( join(X_123,X_124) != join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))
| join(X_123,X_124) = join(X_124,X_123) ),
inference(resolve,[$cnf( $equal(join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124)))))))),join(X_124,X_123)) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
join(X_123,X_124) = join(X_124,X_123),
inference(resolve,[$cnf( $equal(join(X_123,X_124),join(X_124,join(X_123,meet(X_124,complement(converse(complement(converse(complement(X_124))))))))) )],[refute_0_1070,refute_0_1095]) ).
cnf(refute_0_1097,plain,
( join(X_123,X_124) != join(X_124,X_123)
| join(X_124,X_123) = join(X_123,X_124) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_123,X_124))),bind(Y,$fot(join(X_124,X_123)))]]) ).
cnf(refute_0_1098,plain,
join(X_124,X_123) = join(X_123,X_124),
inference(resolve,[$cnf( $equal(join(X_123,X_124),join(X_124,X_123)) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_124,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1100,plain,
join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(X_26,join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(complement(one))),bind(X_27,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1101,plain,
( join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(X_26,join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(X_26,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(X_26,join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1102,plain,
( join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(X_26,join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(X_26,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_967,refute_0_1101]) ).
cnf(refute_0_1103,plain,
join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(X_26,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_26,meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(X_26,join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1100,refute_0_1102]) ).
cnf(refute_0_1104,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1103:[bind(X_26,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1105,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0)))
| join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))
| join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))))]]) ).
cnf(refute_0_1106,plain,
( join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))
| join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)),
inference(resolve,[$cnf( $equal(join(composition(top,zero),complement(converse(skolemFOFtoCNF_X0))),join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))) )],[refute_0_1099,refute_0_1106]) ).
cnf(refute_0_1108,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))]]) ).
cnf(refute_0_1109,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1056,refute_0_1109]) ).
cnf(refute_0_1111,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) != complement(converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) != complement(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))),complement(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1112,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) != complement(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))),complement(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))) )],[refute_0_1024,refute_0_1112]) ).
cnf(refute_0_1114,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1115,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_987,refute_0_1114]) ).
cnf(refute_0_1116,plain,
meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1113,refute_0_1115]) ).
cnf(refute_0_1117,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))))
| meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))) != converse(skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1118,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))))
| converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),complement(composition(top,zero))))) )],[refute_0_1023,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(converse(skolemFOFtoCNF_X0))),bind(X_124,$fot(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_1121,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))
| join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)) != join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) ),[0],$fot(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1122,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0)),join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) )],[refute_0_1119,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))
| join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))]]) ).
cnf(refute_0_1125,plain,
join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
( converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != converse(skolemFOFtoCNF_X0)
| converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = converse(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1127,plain,
( converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = converse(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = converse(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) )],[refute_0_1022,refute_0_1127]) ).
cnf(refute_0_1129,plain,
join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(skolemFOFtoCNF_X0)),bind(X_124,$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))]]) ).
cnf(refute_0_1130,plain,
converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_1131,plain,
( converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0)
| join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))))]]) ).
cnf(refute_0_1132,plain,
( join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))),join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0)) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) )],[refute_0_1129,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != converse(converse(skolemFOFtoCNF_X0))
| converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = converse(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))),converse(converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))]]) ).
cnf(refute_0_1135,plain,
( converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != converse(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = converse(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
converse(converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_43:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1137,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != converse(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),converse(converse(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1138,plain,
( join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != converse(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))) != converse(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),converse(converse(skolemFOFtoCNF_X0))) )],[refute_0_1135,refute_0_1138]) ).
cnf(refute_0_1140,plain,
join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(converse(join(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),converse(skolemFOFtoCNF_X0))),converse(converse(skolemFOFtoCNF_X0))) )],[refute_0_1128,refute_0_1139]) ).
cnf(refute_0_1141,plain,
( join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) != join(X_26,join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(X_26,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(X_26,join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1142,plain,
( join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) != join(X_26,join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(X_26,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),skolemFOFtoCNF_X0) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(X_26,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(X_26,join(skolemFOFtoCNF_X0,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))) )],[refute_0_1021,refute_0_1142]) ).
cnf(refute_0_1144,plain,
join(X_26,zero) = X_26,
inference(subst,[],[refute_0_940:[bind(X_85,$fot(X_26))]]) ).
cnf(refute_0_1145,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_101:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_1146,plain,
top = join(complement(converse(zero)),converse(complement(converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_560:[bind(X_68,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1147,plain,
top = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_560:[bind(X_68,$fot(zero))]]) ).
cnf(refute_0_1148,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1149,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_1150,plain,
( top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_1148,refute_0_1149]) ).
cnf(refute_0_1151,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_1147,refute_0_1150]) ).
cnf(refute_0_1152,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1153,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( converse(complement(converse(zero))) != top
| top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1155,plain,
( top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
top = join(complement(converse(zero)),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) )],[refute_0_1146,refute_0_1155]) ).
cnf(refute_0_1157,plain,
converse(join(zero,converse(X0))) = join(converse(zero),X0),
inference(subst,[],[refute_0_699:[bind(X_19,$fot(zero))]]) ).
cnf(refute_0_1158,plain,
join(zero,converse(X0)) = converse(X0),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(converse(X0)))]]) ).
cnf(refute_0_1159,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| join(zero,converse(X0)) != converse(X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_1160,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_0_1157,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_1163,plain,
( converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_1162]) ).
cnf(refute_0_1164,plain,
X0 = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_0_1161,refute_0_1163]) ).
cnf(refute_0_1165,plain,
( X0 != join(converse(zero),X0)
| join(converse(zero),X0) = X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X0)),bind(Y,$fot(join(converse(zero),X0)))]]) ).
cnf(refute_0_1166,plain,
join(converse(zero),X0) = X0,
inference(resolve,[$cnf( $equal(X0,join(converse(zero),X0)) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
inference(subst,[],[refute_0_1166:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1168,plain,
join(complement(converse(zero)),converse(zero)) = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(zero))),bind(X1,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1169,plain,
( join(complement(converse(zero)),converse(zero)) != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(zero)),converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1170,plain,
( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
join(complement(converse(zero)),converse(zero)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_0_1167,refute_0_1170]) ).
cnf(refute_0_1172,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_1173,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1174,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1174]) ).
cnf(refute_0_1176,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(complement(top))),
introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(complement(top))))]]) ).
cnf(refute_0_1177,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(complement(top)))
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_1178,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1175,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(zero))
| join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(zero)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(zero)),converse(zero)))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1181,plain,
( join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(zero))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),complement(converse(zero))) )],[refute_0_1171,refute_0_1181]) ).
cnf(refute_0_1183,plain,
( join(complement(converse(zero)),converse(complement(top))) != complement(converse(zero))
| top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) ),[1],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_1184,plain,
( top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),complement(converse(zero))) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1156,refute_0_1184]) ).
cnf(refute_0_1186,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1187,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1189,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_1145,refute_0_1189]) ).
cnf(refute_0_1191,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_1192,plain,
( complement(converse(zero)) != top
| converse(zero) != join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))
| converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1193,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))
| converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1187,refute_0_1192]) ).
cnf(refute_0_1194,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) )],[refute_0_1191,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(zero,meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1196,plain,
join(top,X1) = top,
inference(subst,[],[refute_0_528:[bind(X_25,$fot(X1))]]) ).
cnf(refute_0_1197,plain,
complement(join(top,X1)) = complement(join(top,X1)),
introduced(tautology,[refl,[$fot(complement(join(top,X1)))]]) ).
cnf(refute_0_1198,plain,
( complement(join(top,X1)) != complement(join(top,X1))
| join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1199,plain,
( join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
complement(join(top,X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_1196,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( complement(join(top,X1)) != complement(top)
| complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(top,X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1202,plain,
( complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(top)) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
complement(join(top,X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1202]) ).
cnf(refute_0_1204,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(complement(join(top,X1)),meet(converse(zero),X1)),
introduced(tautology,[refl,[$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))]]) ).
cnf(refute_0_1205,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1206,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_0_1203,refute_0_1206]) ).
cnf(refute_0_1208,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != join(zero,meet(converse(zero),X1))
| join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))),bind(Y,$fot(join(zero,meet(converse(zero),X1)))),bind(Z,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1209,plain,
( join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(zero,meet(converse(zero),X1))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_0_1195,refute_0_1209]) ).
cnf(refute_0_1211,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = join(complement(join(top,X1)),meet(converse(zero),X1)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(join(top,X1)))),bind(X1,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1212,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(converse(zero),X1),complement(join(top,X1))))),bind(Y,$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))),bind(Z,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1213,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_0_1210,refute_0_1213]) ).
cnf(refute_0_1215,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| join(meet(converse(zero),X1),complement(join(top,X1))) != meet(converse(zero),X1)
| converse(zero) = meet(converse(zero),X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),meet(converse(zero),X1)) ),[0],$fot(join(meet(converse(zero),X1),complement(join(top,X1))))]]) ).
cnf(refute_0_1216,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| converse(zero) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),meet(converse(zero),X1)) )],[refute_0_1214,refute_0_1215]) ).
cnf(refute_0_1217,plain,
converse(zero) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(top,X1)))) )],[refute_0_1194,refute_0_1216]) ).
cnf(refute_0_1218,plain,
( converse(zero) != meet(converse(zero),X1)
| meet(converse(zero),X1) = converse(zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(zero))),bind(Y,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1219,plain,
meet(converse(zero),X1) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),meet(converse(zero),X1)) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_1219:[bind(X1,$fot(top))]]) ).
cnf(refute_0_1221,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_1222,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_1220,refute_0_1221]) ).
cnf(refute_0_1223,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_1190,refute_0_1222]) ).
cnf(refute_0_1224,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_1225,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1223,refute_0_1224]) ).
cnf(refute_0_1226,plain,
meet(X_14,zero) = meet(zero,X_14),
inference(subst,[],[refute_0_253:[bind(X_15,$fot(zero))]]) ).
cnf(refute_0_1227,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1228,plain,
top = join(zero,complement(complement(top))),
inference(subst,[],[refute_0_118:[bind(X_83,$fot(top))]]) ).
cnf(refute_0_1229,plain,
( complement(top) != zero
| top != join(zero,complement(complement(top)))
| top = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(complement(top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1230,plain,
( top != join(zero,complement(complement(top)))
| top = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1229]) ).
cnf(refute_0_1231,plain,
top = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(top,join(zero,complement(complement(top)))) )],[refute_0_1228,refute_0_1230]) ).
cnf(refute_0_1232,plain,
join(zero,complement(zero)) = complement(zero),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(complement(zero)))]]) ).
cnf(refute_0_1233,plain,
( join(zero,complement(zero)) != complement(zero)
| top != join(zero,complement(zero))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_1234,plain,
( top != join(zero,complement(zero))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),complement(zero)) )],[refute_0_1232,refute_0_1233]) ).
cnf(refute_0_1235,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_0_1231,refute_0_1234]) ).
cnf(refute_0_1236,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_1237,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1239,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_0_1227,refute_0_1239]) ).
cnf(refute_0_1241,plain,
join(meet(zero,X1),zero) = meet(zero,X1),
inference(subst,[],[refute_0_940:[bind(X_85,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_1242,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_0_1243,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1244,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_0_1203,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),zero)
| join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(zero,X1),complement(join(top,X1))))),bind(Y,$fot(join(meet(zero,X1),zero))),bind(Z,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_1247,plain,
( join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),zero)) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),zero),meet(zero,X1)) )],[refute_0_1241,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( join(meet(zero,X1),complement(join(top,X1))) != meet(zero,X1)
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(meet(zero,X1))]]) ).
cnf(refute_0_1250,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),meet(zero,X1)) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
zero = meet(zero,X1),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_1240,refute_0_1250]) ).
cnf(refute_0_1252,plain,
zero = meet(zero,X_14),
inference(subst,[],[refute_0_1251:[bind(X1,$fot(X_14))]]) ).
cnf(refute_0_1253,plain,
( zero != meet(zero,X_14)
| meet(zero,X_14) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_14)))]]) ).
cnf(refute_0_1254,plain,
meet(zero,X_14) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_14)) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
( meet(X_14,zero) != meet(zero,X_14)
| meet(zero,X_14) != zero
| meet(X_14,zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_14,zero),zero) ),[0],$fot(meet(zero,X_14))]]) ).
cnf(refute_0_1256,plain,
( meet(X_14,zero) != meet(zero,X_14)
| meet(X_14,zero) = zero ),
inference(resolve,[$cnf( $equal(meet(zero,X_14),zero) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
meet(X_14,zero) = zero,
inference(resolve,[$cnf( $equal(meet(X_14,zero),meet(zero,X_14)) )],[refute_0_1226,refute_0_1256]) ).
cnf(refute_0_1258,plain,
meet(converse(skolemFOFtoCNF_X0),zero) = zero,
inference(subst,[],[refute_0_1257:[bind(X_14,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1259,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_1260,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_1259:[bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1261,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_1262,plain,
composition(join(X_234,top),complement(composition(top,top))) = join(composition(X_234,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(X_234)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1263,plain,
join(complement(top),composition(converse(X_36),complement(composition(X_36,top)))) = complement(top),
inference(subst,[],[refute_0_39:[bind(X0,$fot(X_36)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1264,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_36),complement(composition(X_36,top)))) != complement(top)
| join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_36),complement(composition(X_36,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1265,plain,
( join(complement(top),composition(converse(X_36),complement(composition(X_36,top)))) != complement(top)
| join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1264]) ).
cnf(refute_0_1266,plain,
join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_36),complement(composition(X_36,top)))),complement(top)) )],[refute_0_1263,refute_0_1265]) ).
cnf(refute_0_1267,plain,
( complement(top) != zero
| join(zero,composition(converse(X_36),complement(composition(X_36,top)))) != complement(top)
| join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_36),complement(composition(X_36,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1268,plain,
( join(zero,composition(converse(X_36),complement(composition(X_36,top)))) != complement(top)
| join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1267]) ).
cnf(refute_0_1269,plain,
join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_36),complement(composition(X_36,top)))),complement(top)) )],[refute_0_1266,refute_0_1268]) ).
cnf(refute_0_1270,plain,
join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) = zero,
inference(subst,[],[refute_0_1269:[bind(X_36,$fot(converse(X0)))]]) ).
cnf(refute_0_1271,plain,
( converse(converse(X0)) != X0
| join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_1272,plain,
( join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(converse(X0)),complement(composition(converse(X0),top)))),zero) )],[refute_0_1270,refute_0_1272]) ).
cnf(refute_0_1274,plain,
join(zero,composition(top,complement(composition(converse(top),top)))) = zero,
inference(subst,[],[refute_0_1273:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1275,plain,
( converse(top) != top
| join(zero,composition(top,complement(composition(converse(top),top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(converse(top),top)))),zero) ),[0,1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1276,plain,
( join(zero,composition(top,complement(composition(converse(top),top)))) != zero
| join(zero,composition(top,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_1275]) ).
cnf(refute_0_1277,plain,
join(zero,composition(top,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(converse(top),top)))),zero) )],[refute_0_1274,refute_0_1276]) ).
cnf(refute_0_1278,plain,
join(zero,composition(top,complement(composition(top,top)))) = composition(top,complement(composition(top,top))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_1279,plain,
( join(zero,composition(top,complement(composition(top,top)))) != composition(top,complement(composition(top,top)))
| join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) ),[0],$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_1280,plain,
( join(zero,composition(top,complement(composition(top,top)))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),composition(top,complement(composition(top,top)))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(composition(top,top)))),zero) )],[refute_0_1277,refute_0_1280]) ).
cnf(refute_0_1282,plain,
( composition(join(X_234,top),complement(composition(top,top))) != join(composition(X_234,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_234,top),complement(composition(top,top))) = join(composition(X_234,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),join(composition(X_234,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1283,plain,
( composition(join(X_234,top),complement(composition(top,top))) != join(composition(X_234,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_234,top),complement(composition(top,top))) = join(composition(X_234,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
composition(join(X_234,top),complement(composition(top,top))) = join(composition(X_234,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),join(composition(X_234,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_1262,refute_0_1283]) ).
cnf(refute_0_1285,plain,
join(X_234,top) = top,
inference(subst,[],[refute_0_371:[bind(X_33,$fot(X_234))]]) ).
cnf(refute_0_1286,plain,
composition(join(X_234,top),complement(composition(top,top))) = composition(join(X_234,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_234,top),complement(composition(top,top))))]]) ).
cnf(refute_0_1287,plain,
( composition(join(X_234,top),complement(composition(top,top))) != composition(join(X_234,top),complement(composition(top,top)))
| join(X_234,top) != top
| composition(join(X_234,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),composition(join(X_234,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1288,plain,
( join(X_234,top) != top
| composition(join(X_234,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),composition(join(X_234,top),complement(composition(top,top)))) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
composition(join(X_234,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_234,top),top) )],[refute_0_1285,refute_0_1288]) ).
cnf(refute_0_1290,plain,
( composition(join(X_234,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_234,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(X_234,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1291,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_234,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_1289,refute_0_1290]) ).
cnf(refute_0_1292,plain,
composition(join(X_234,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1281,refute_0_1291]) ).
cnf(refute_0_1293,plain,
( composition(join(X_234,top),complement(composition(top,top))) != join(composition(X_234,complement(composition(top,top))),zero)
| composition(join(X_234,top),complement(composition(top,top))) != zero
| zero = join(composition(X_234,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),join(composition(X_234,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1294,plain,
( composition(join(X_234,top),complement(composition(top,top))) != join(composition(X_234,complement(composition(top,top))),zero)
| zero = join(composition(X_234,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),zero) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
join(zero,composition(X_234,complement(composition(top,top)))) = composition(X_234,complement(composition(top,top))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(X_234,complement(composition(top,top)))))]]) ).
cnf(refute_0_1296,plain,
join(composition(X_234,complement(composition(top,top))),zero) = join(zero,composition(X_234,complement(composition(top,top)))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(zero)),bind(X_124,$fot(composition(X_234,complement(composition(top,top)))))]]) ).
cnf(refute_0_1297,plain,
( join(composition(X_234,complement(composition(top,top))),zero) != join(zero,composition(X_234,complement(composition(top,top))))
| join(zero,composition(X_234,complement(composition(top,top)))) != composition(X_234,complement(composition(top,top)))
| join(composition(X_234,complement(composition(top,top))),zero) = composition(X_234,complement(composition(top,top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(X_234,complement(composition(top,top))),zero))),bind(Y,$fot(join(zero,composition(X_234,complement(composition(top,top)))))),bind(Z,$fot(composition(X_234,complement(composition(top,top)))))]]) ).
cnf(refute_0_1298,plain,
( join(zero,composition(X_234,complement(composition(top,top)))) != composition(X_234,complement(composition(top,top)))
| join(composition(X_234,complement(composition(top,top))),zero) = composition(X_234,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_234,complement(composition(top,top))),zero),join(zero,composition(X_234,complement(composition(top,top))))) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
join(composition(X_234,complement(composition(top,top))),zero) = composition(X_234,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(zero,composition(X_234,complement(composition(top,top)))),composition(X_234,complement(composition(top,top)))) )],[refute_0_1295,refute_0_1298]) ).
cnf(refute_0_1300,plain,
( join(composition(X_234,complement(composition(top,top))),zero) != composition(X_234,complement(composition(top,top)))
| zero != join(composition(X_234,complement(composition(top,top))),zero)
| zero = composition(X_234,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_234,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_234,complement(composition(top,top))))]]) ).
cnf(refute_0_1301,plain,
( zero != join(composition(X_234,complement(composition(top,top))),zero)
| zero = composition(X_234,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_234,complement(composition(top,top))),zero),composition(X_234,complement(composition(top,top)))) )],[refute_0_1299,refute_0_1300]) ).
cnf(refute_0_1302,plain,
( composition(join(X_234,top),complement(composition(top,top))) != join(composition(X_234,complement(composition(top,top))),zero)
| zero = composition(X_234,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_234,complement(composition(top,top))),zero)) )],[refute_0_1294,refute_0_1301]) ).
cnf(refute_0_1303,plain,
zero = composition(X_234,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_234,top),complement(composition(top,top))),join(composition(X_234,complement(composition(top,top))),zero)) )],[refute_0_1284,refute_0_1302]) ).
cnf(refute_0_1304,plain,
zero = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_1303:[bind(X_234,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_1305,plain,
( zero != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(composition(X0,X1),complement(composition(top,top)))))]]) ).
cnf(refute_0_1306,plain,
composition(composition(X0,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(composition(X0,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_1308,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),complement(composition(top,top))),zero) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_1260,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( zero != composition(X_234,complement(composition(top,top)))
| composition(X_234,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_234,complement(composition(top,top)))))]]) ).
cnf(refute_0_1311,plain,
composition(X_234,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_234,complement(composition(top,top)))) )],[refute_0_1303,refute_0_1310]) ).
cnf(refute_0_1312,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_1311:[bind(X_234,$fot(X1))]]) ).
cnf(refute_0_1313,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,composition(X1,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_1314,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,composition(X1,complement(composition(top,top))))
| composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1315,plain,
( composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),zero) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,zero)
| composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(X0,zero))]]) ).
cnf(refute_0_1318,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,zero)) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) )],[refute_0_1309,refute_0_1318]) ).
cnf(refute_0_1320,plain,
composition(top,zero) = zero,
inference(subst,[],[refute_0_1319:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1321,plain,
meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),
introduced(tautology,[refl,[$fot(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))]]) ).
cnf(refute_0_1322,plain,
( composition(top,zero) != zero
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) != meet(converse(skolemFOFtoCNF_X0),composition(top,zero))
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = meet(converse(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1323,plain,
( composition(top,zero) != zero
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = meet(converse(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = meet(converse(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1320,refute_0_1323]) ).
cnf(refute_0_1325,plain,
( meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) != meet(converse(skolemFOFtoCNF_X0),zero)
| meet(converse(skolemFOFtoCNF_X0),zero) != zero
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1326,plain,
( meet(converse(skolemFOFtoCNF_X0),zero) != zero
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),meet(converse(skolemFOFtoCNF_X0),zero)) )],[refute_0_1324,refute_0_1325]) ).
cnf(refute_0_1327,plain,
meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),zero),zero) )],[refute_0_1258,refute_0_1326]) ).
cnf(refute_0_1328,plain,
converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),
introduced(tautology,[refl,[$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_1329,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1330,plain,
( meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),zero) )],[refute_0_1327,refute_0_1330]) ).
cnf(refute_0_1332,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != converse(zero)
| converse(zero) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1333,plain,
( converse(zero) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),converse(zero)) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_1333]) ).
cnf(refute_0_1335,plain,
join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),
introduced(tautology,[refl,[$fot(join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))]]) ).
cnf(refute_0_1336,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != zero
| join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1337,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != zero
| join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,zero) ),
inference(resolve,[$cnf( $equal(join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) )],[refute_0_1335,refute_0_1336]) ).
cnf(refute_0_1338,plain,
join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,zero),
inference(resolve,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),zero) )],[refute_0_1334,refute_0_1337]) ).
cnf(refute_0_1339,plain,
( join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(X_26,zero)
| join(X_26,zero) != X_26
| join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = X_26 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))),bind(Y,$fot(join(X_26,zero))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_1340,plain,
( join(X_26,zero) != X_26
| join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = X_26 ),
inference(resolve,[$cnf( $equal(join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,zero)) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = X_26,
inference(resolve,[$cnf( $equal(join(X_26,zero),X_26) )],[refute_0_1144,refute_0_1340]) ).
cnf(refute_0_1342,plain,
join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))))]]) ).
cnf(refute_0_1343,plain,
( join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != X_26
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) != join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(skolemFOFtoCNF_X0,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_1344,plain,
( join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != X_26
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(skolemFOFtoCNF_X0,X_26) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))) )],[refute_0_1342,refute_0_1343]) ).
cnf(refute_0_1345,plain,
join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) = join(skolemFOFtoCNF_X0,X_26),
inference(resolve,[$cnf( $equal(join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),X_26) )],[refute_0_1341,refute_0_1344]) ).
cnf(refute_0_1346,plain,
( join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) != join(X_26,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) != join(skolemFOFtoCNF_X0,X_26)
| join(skolemFOFtoCNF_X0,X_26) = join(X_26,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(X_26,skolemFOFtoCNF_X0)) ),[0],$fot(join(skolemFOFtoCNF_X0,X_26))]]) ).
cnf(refute_0_1347,plain,
( join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) != join(X_26,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,X_26) = join(X_26,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(skolemFOFtoCNF_X0,X_26)) )],[refute_0_1345,refute_0_1346]) ).
cnf(refute_0_1348,plain,
join(skolemFOFtoCNF_X0,X_26) = join(X_26,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_26,converse(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),join(X_26,skolemFOFtoCNF_X0)) )],[refute_0_1143,refute_0_1347]) ).
cnf(refute_0_1349,plain,
( join(skolemFOFtoCNF_X0,X_26) != join(X_26,skolemFOFtoCNF_X0)
| join(X_26,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_26))),bind(Y,$fot(join(X_26,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1350,plain,
join(X_26,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_26),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_26),join(X_26,skolemFOFtoCNF_X0)) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1350:[bind(X_26,$fot(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1352,plain,
converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1353,plain,
( converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)
| join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1354,plain,
( join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1351,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(complement(one),converse(skolemFOFtoCNF_X0)))
| converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(complement(one),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(complement(one),converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1357,plain,
( converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(complement(one),converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = converse(join(complement(one),converse(composition(complement(one),complement(converse(complement(one))))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(complement(one))),bind(X_20,$fot(converse(composition(complement(one),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_1359,plain,
join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one)))))))) = complement(one),
inference(subst,[],[refute_0_1030:[bind(X_36,$fot(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1360,plain,
converse(complement(one)) = join(meet(complement(one),converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(converse(complement(one)))),bind(X_84,$fot(complement(one)))]]) ).
cnf(refute_0_1361,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))
| meet(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1362,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))
| converse(complement(one)) = join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_594,refute_0_1361]) ).
cnf(refute_0_1363,plain,
converse(complement(one)) = join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1360,refute_0_1362]) ).
cnf(refute_0_1364,plain,
meet(one,join(complement(converse(complement(one))),complement(one))) = meet(one,join(complement(converse(complement(one))),complement(one))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_1365,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| meet(one,join(complement(converse(complement(one))),complement(one))) != meet(one,join(complement(converse(complement(one))),complement(one)))
| meet(one,join(complement(converse(complement(one))),complement(one))) = meet(one,complement(meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(converse(complement(one))),complement(one))),meet(one,join(complement(converse(complement(one))),complement(one)))) ),[1,1],$fot(complement(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1366,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| meet(one,join(complement(converse(complement(one))),complement(one))) = meet(one,complement(meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(one))),complement(one))),meet(one,join(complement(converse(complement(one))),complement(one)))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
meet(one,join(complement(converse(complement(one))),complement(one))) = meet(one,complement(meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(one,converse(complement(one))))) )],[refute_0_608,refute_0_1366]) ).
cnf(refute_0_1368,plain,
complement(meet(one,join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,join(complement(converse(complement(one))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(converse(complement(one))),complement(one)))))]]) ).
cnf(refute_0_1369,plain,
( complement(meet(one,join(complement(converse(complement(one))),complement(one)))) != complement(meet(one,join(complement(converse(complement(one))),complement(one))))
| meet(one,join(complement(converse(complement(one))),complement(one))) != meet(one,complement(meet(one,converse(complement(one)))))
| complement(meet(one,join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(one))),complement(one)))),complement(meet(one,join(complement(converse(complement(one))),complement(one))))) ),[1,0],$fot(meet(one,complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1370,plain,
( meet(one,join(complement(converse(complement(one))),complement(one))) != meet(one,complement(meet(one,converse(complement(one)))))
| complement(meet(one,join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(one))),complement(one)))),complement(meet(one,join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
complement(meet(one,join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(complement(one))),complement(one))),meet(one,complement(meet(one,converse(complement(one)))))) )],[refute_0_1367,refute_0_1370]) ).
cnf(refute_0_1372,plain,
join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,join(complement(converse(complement(one))),complement(one)))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_1373,plain,
( complement(meet(one,join(complement(converse(complement(one))),complement(one)))) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) != complement(meet(one,join(complement(converse(complement(one))),complement(one))))
| join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))))),bind(Y,$fot(complement(meet(one,join(complement(converse(complement(one))),complement(one)))))),bind(Z,$fot(complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1374,plain,
( complement(meet(one,join(complement(converse(complement(one))),complement(one)))) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))),complement(meet(one,join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(converse(complement(one))),complement(one)))),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1371,refute_0_1374]) ).
cnf(refute_0_1376,plain,
( converse(complement(one)) != join(complement(one),complement(join(complement(converse(complement(one))),complement(one))))
| join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| converse(complement(one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) ),[0],$fot(join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))))]]) ).
cnf(refute_0_1377,plain,
( converse(complement(one)) != join(complement(one),complement(join(complement(converse(complement(one))),complement(one))))
| converse(complement(one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(converse(complement(one))),complement(one)))),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
converse(complement(one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),complement(join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1363,refute_0_1377]) ).
cnf(refute_0_1379,plain,
( converse(complement(one)) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = converse(complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1380,plain,
complement(meet(one,complement(meet(one,converse(complement(one)))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != converse(complement(one))
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one)))))))),complement(one)) ),[0,1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1382,plain,
( join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one)))))))),complement(one)) )],[refute_0_1359,refute_0_1382]) ).
cnf(refute_0_1384,plain,
meet(one,complement(meet(one,converse(complement(one))))) = complement(complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1385,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != converse(complement(one))
| meet(one,complement(meet(one,converse(complement(one))))) != complement(complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(one,complement(meet(one,converse(complement(one))))) = complement(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),complement(complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1386,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != complement(complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(one,complement(meet(one,converse(complement(one))))) = complement(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) )],[refute_0_1380,refute_0_1385]) ).
cnf(refute_0_1387,plain,
meet(one,complement(meet(one,converse(complement(one))))) = complement(converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),complement(complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1384,refute_0_1386]) ).
cnf(refute_0_1388,plain,
composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) = composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1389,plain,
( composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) != composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))
| meet(one,complement(meet(one,converse(complement(one))))) != complement(converse(complement(one)))
| composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) = composition(complement(one),complement(converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))),composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) ),[1,1],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_1390,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != complement(converse(complement(one)))
| composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) = composition(complement(one),complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))),composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) = composition(complement(one),complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),complement(converse(complement(one)))) )],[refute_0_1387,refute_0_1390]) ).
cnf(refute_0_1392,plain,
converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) = converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1393,plain,
( composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) != composition(complement(one),complement(converse(complement(one))))
| converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) != converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))))
| converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) = converse(composition(complement(one),complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))),converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))))) ),[1,0],$fot(composition(complement(one),complement(converse(complement(one)))))]]) ).
cnf(refute_0_1394,plain,
( composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))) != composition(complement(one),complement(converse(complement(one))))
| converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) = converse(composition(complement(one),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))),converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) = converse(composition(complement(one),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))),composition(complement(one),complement(converse(complement(one))))) )],[refute_0_1391,refute_0_1394]) ).
cnf(refute_0_1396,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_1397,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_41,refute_0_1396]) ).
cnf(refute_0_1398,plain,
composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) = converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1399,plain,
( composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) != converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))))
| converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) != converse(composition(complement(one),complement(converse(complement(one)))))
| composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) = converse(composition(complement(one),complement(converse(complement(one))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))))),bind(Y,$fot(converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))))),bind(Z,$fot(converse(composition(complement(one),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_1400,plain,
( converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))) != converse(composition(complement(one),complement(converse(complement(one)))))
| composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) = converse(composition(complement(one),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))),converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) = converse(composition(complement(one),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),meet(one,complement(meet(one,converse(complement(one))))))),converse(composition(complement(one),complement(converse(complement(one)))))) )],[refute_0_1395,refute_0_1400]) ).
cnf(refute_0_1402,plain,
join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))))]]) ).
cnf(refute_0_1403,plain,
( composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) != converse(composition(complement(one),complement(converse(complement(one)))))
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) != join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))))
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))),join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))))) ),[1,1],$fot(converse(composition(complement(one),complement(converse(complement(one))))))]]) ).
cnf(refute_0_1404,plain,
( composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) != converse(composition(complement(one),complement(converse(complement(one)))))
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))),join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))))) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) = join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))),converse(composition(complement(one),complement(converse(complement(one)))))) )],[refute_0_1401,refute_0_1404]) ).
cnf(refute_0_1406,plain,
( join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) != complement(one)
| join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) != join(complement(one),converse(composition(complement(one),complement(converse(complement(one))))))
| join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))),complement(one)) ),[0],$fot(join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_1407,plain,
( join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))) != complement(one)
| join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))),join(complement(one),converse(composition(complement(one),complement(converse(complement(one))))))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one)))),complement(one)) )],[refute_0_1383,refute_0_1407]) ).
cnf(refute_0_1409,plain,
( converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) != converse(join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))))
| join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))) != complement(one)
| converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))),converse(join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1410,plain,
( converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) != converse(join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))))
| converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))),complement(one)) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))),converse(join(complement(one),converse(composition(complement(one),complement(converse(complement(one)))))))) )],[refute_0_1358,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one))) = join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(composition(complement(one),complement(converse(complement(one))))))]]) ).
cnf(refute_0_1413,plain,
converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(composition(complement(one),complement(converse(complement(one)))))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_1414,plain,
( converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) != join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one)))
| join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one))) != join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))
| converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))))),bind(Y,$fot(join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one))))),bind(Z,$fot(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_1415,plain,
( join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one))) != join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))
| converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))),join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one)))) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) = join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(composition(complement(one),complement(converse(complement(one)))),converse(complement(one))),join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))) )],[refute_0_1412,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) != converse(complement(one))
| converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) != join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))),converse(complement(one))) ),[0],$fot(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))))]]) ).
cnf(refute_0_1418,plain,
( converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))) != converse(complement(one))
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))),join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(one),complement(converse(complement(one))))),complement(one))),converse(complement(one))) )],[refute_0_1411,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))) = complement(one),
inference(subst,[],[refute_0_1030:[bind(X_36,$fot(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1421,plain,
one = join(meet(one,complement(converse(complement(one)))),complement(join(complement(converse(complement(one))),complement(one)))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(one)),bind(X_84,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_1422,plain,
meet(one,complement(meet(one,converse(complement(one))))) = meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(complement(one)))))))))),
inference(subst,[],[refute_0_581:[bind(X_83,$fot(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1423,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != converse(complement(one))
| meet(one,complement(meet(one,converse(complement(one))))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(complement(one))))))))))
| meet(one,complement(meet(one,converse(complement(one))))) = meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(complement(one))))))))))) ),[1,1,0,0,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1424,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(complement(one))))))))))
| meet(one,complement(meet(one,converse(complement(one))))) = meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),converse(complement(one))) )],[refute_0_1380,refute_0_1423]) ).
cnf(refute_0_1425,plain,
meet(one,complement(meet(one,converse(complement(one))))) = meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(complement(meet(one,complement(meet(one,converse(complement(one))))))))))) )],[refute_0_1422,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != complement(converse(complement(one)))
| meet(one,complement(meet(one,converse(complement(one))))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))
| complement(converse(complement(one))) = meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))) ),[0],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_1427,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))
| complement(converse(complement(one))) = meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),complement(converse(complement(one)))) )],[refute_0_1387,refute_0_1426]) ).
cnf(refute_0_1428,plain,
meet(one,meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,meet(one,complement(meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(meet(one,meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1429,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != complement(converse(complement(one)))
| meet(one,meet(one,complement(meet(one,converse(complement(one)))))) != meet(one,meet(one,complement(meet(one,converse(complement(one))))))
| meet(one,meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,complement(converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(one,complement(meet(one,converse(complement(one)))))),meet(one,meet(one,complement(meet(one,converse(complement(one))))))) ),[1,1],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_1430,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != complement(converse(complement(one)))
| meet(one,meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(meet(one,converse(complement(one)))))),meet(one,meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
meet(one,meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),complement(converse(complement(one)))) )],[refute_0_1387,refute_0_1430]) ).
cnf(refute_0_1432,plain,
converse(converse(complement(one))) = complement(one),
inference(subst,[],[refute_0_43:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1433,plain,
complement(converse(converse(complement(one)))) = complement(converse(converse(complement(one)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(one)))))]]) ).
cnf(refute_0_1434,plain,
( complement(converse(converse(complement(one)))) != complement(converse(converse(complement(one))))
| converse(converse(complement(one))) != complement(one)
| complement(converse(converse(complement(one)))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(one)))),complement(converse(converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1435,plain,
( converse(converse(complement(one))) != complement(one)
| complement(converse(converse(complement(one)))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(one)))),complement(converse(converse(complement(one))))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
complement(converse(converse(complement(one)))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(converse(converse(complement(one))),complement(one)) )],[refute_0_1432,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( complement(complement(one)) != one
| complement(converse(converse(complement(one)))) != complement(complement(one))
| complement(converse(converse(complement(one)))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(converse(converse(complement(one)))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1438,plain,
( complement(complement(one)) != one
| complement(converse(converse(complement(one)))) = one ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(one)))),complement(complement(one))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
complement(converse(converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_650,refute_0_1438]) ).
cnf(refute_0_1440,plain,
converse(complement(converse(converse(complement(one))))) = converse(complement(converse(converse(complement(one))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(complement(one))))))]]) ).
cnf(refute_0_1441,plain,
( complement(converse(converse(complement(one)))) != one
| converse(complement(converse(converse(complement(one))))) != converse(complement(converse(converse(complement(one)))))
| converse(complement(converse(converse(complement(one))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1442,plain,
( complement(converse(converse(complement(one)))) != one
| converse(complement(converse(converse(complement(one))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
converse(complement(converse(converse(complement(one))))) = converse(one),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(one)))),one) )],[refute_0_1439,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( converse(complement(converse(converse(complement(one))))) != converse(one)
| converse(one) != one
| converse(complement(converse(converse(complement(one))))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(complement(converse(converse(complement(one))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1445,plain,
( converse(one) != one
| converse(complement(converse(converse(complement(one))))) = one ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(one))))),converse(one)) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
converse(complement(converse(converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_1445]) ).
cnf(refute_0_1447,plain,
meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1448,plain,
( converse(complement(converse(converse(complement(one))))) != one
| meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) != meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one))))))
| meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,meet(one,complement(meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))),meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1449,plain,
( converse(complement(converse(converse(complement(one))))) != one
| meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))),meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(one))))),one) )],[refute_0_1446,refute_0_1449]) ).
cnf(refute_0_1451,plain,
( meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) != meet(one,meet(one,complement(meet(one,converse(complement(one))))))
| meet(one,meet(one,complement(meet(one,converse(complement(one)))))) != meet(one,complement(converse(complement(one))))
| meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,complement(converse(complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))))),bind(Y,$fot(meet(one,meet(one,complement(meet(one,converse(complement(one)))))))),bind(Z,$fot(meet(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_1452,plain,
( meet(one,meet(one,complement(meet(one,converse(complement(one)))))) != meet(one,complement(converse(complement(one))))
| meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))),meet(one,meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) = meet(one,complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(meet(one,converse(complement(one)))))),meet(one,complement(converse(complement(one))))) )],[refute_0_1431,refute_0_1452]) ).
cnf(refute_0_1454,plain,
meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) = meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(converse(complement(converse(converse(complement(one))))))),bind(X_15,$fot(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1455,plain,
( meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) != meet(one,complement(converse(complement(one))))
| meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) != meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one))))))
| meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) = meet(one,complement(converse(complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))))),bind(Y,$fot(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))))),bind(Z,$fot(meet(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_1456,plain,
( meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) != meet(one,complement(converse(complement(one))))
| meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) = meet(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))),meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) = meet(one,complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))),meet(one,complement(converse(complement(one))))) )],[refute_0_1453,refute_0_1456]) ).
cnf(refute_0_1458,plain,
( complement(converse(complement(one))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))
| meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))) != meet(one,complement(converse(complement(one))))
| complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(one))),meet(one,complement(converse(complement(one))))) ),[0],$fot(meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))))]]) ).
cnf(refute_0_1459,plain,
( complement(converse(complement(one))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))
| complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one)))))),meet(one,complement(converse(complement(one))))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))
| complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))) )],[refute_0_1427,refute_0_1459]) ).
cnf(refute_0_1461,plain,
complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(meet(one,complement(meet(one,converse(complement(one))))),converse(complement(converse(converse(complement(one))))))) )],[refute_0_1425,refute_0_1460]) ).
cnf(refute_0_1462,plain,
( complement(converse(complement(one))) != meet(one,complement(converse(complement(one))))
| meet(one,complement(converse(complement(one)))) = complement(converse(complement(one))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(complement(one))))),bind(Y,$fot(meet(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_1463,plain,
meet(one,complement(converse(complement(one)))) = complement(converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),meet(one,complement(converse(complement(one))))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
( meet(one,complement(converse(complement(one)))) != complement(converse(complement(one)))
| one != join(meet(one,complement(converse(complement(one)))),complement(join(complement(converse(complement(one))),complement(one))))
| one = join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(complement(one)))),complement(join(complement(converse(complement(one))),complement(one))))) ),[1,0],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_1465,plain,
( one != join(meet(one,complement(converse(complement(one)))),complement(join(complement(converse(complement(one))),complement(one))))
| one = join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(one)))),complement(converse(complement(one)))) )],[refute_0_1463,refute_0_1464]) ).
cnf(refute_0_1466,plain,
one = join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(complement(one)))),complement(join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1421,refute_0_1465]) ).
cnf(refute_0_1467,plain,
meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) = meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_1468,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) != meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))
| meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) = meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))),meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) ),[1,1],$fot(complement(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1469,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) = meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))),meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) = meet(converse(complement(one)),complement(meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(one,converse(complement(one))))) )],[refute_0_608,refute_0_1469]) ).
cnf(refute_0_1471,plain,
complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))))]]) ).
cnf(refute_0_1472,plain,
( complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) != complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))))
| meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) != meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))
| complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))),complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))))) ),[1,0],$fot(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1473,plain,
( meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))) != meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))
| complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))),complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1471,refute_0_1472]) ).
cnf(refute_0_1474,plain,
complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))),meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) )],[refute_0_1470,refute_0_1473]) ).
cnf(refute_0_1475,plain,
join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(join(complement(converse(complement(one))),complement(one))))]]) ).
cnf(refute_0_1476,plain,
( complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) != complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))
| join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) != complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))))
| join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))))),bind(Y,$fot(complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))))),bind(Z,$fot(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1477,plain,
( complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))) != complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))
| join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))),complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1475,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),join(complement(converse(complement(one))),complement(one)))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))) )],[refute_0_1474,refute_0_1477]) ).
cnf(refute_0_1479,plain,
( join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))) != complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))
| one != join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))
| one = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))) ),[1],$fot(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1480,plain,
( one != join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))
| one = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one)))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
one = complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),complement(join(complement(converse(complement(one))),complement(one))))) )],[refute_0_1466,refute_0_1480]) ).
cnf(refute_0_1482,plain,
( one != complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))
| complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1483,plain,
complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) = one,
inference(resolve,[$cnf( $equal(one,complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
( complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) != one
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))),complement(one)) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_1485,plain,
( join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) )],[refute_0_1483,refute_0_1484]) ).
cnf(refute_0_1486,plain,
join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))),complement(one)) )],[refute_0_1420,refute_0_1485]) ).
cnf(refute_0_1487,plain,
meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) = complement(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1488,plain,
( complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) != one
| meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) != complement(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))
| meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))),complement(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1489,plain,
( meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) != complement(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))
| meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) )],[refute_0_1483,refute_0_1488]) ).
cnf(refute_0_1490,plain,
meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))),complement(complement(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))) )],[refute_0_1487,refute_0_1489]) ).
cnf(refute_0_1491,plain,
converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) = converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1492,plain,
( converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) != converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))
| meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) != complement(one)
| converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1493,plain,
( meet(converse(complement(one)),complement(meet(one,converse(complement(one))))) != complement(one)
| converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))),complement(one)) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) = converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_48:[bind(X0,$fot(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1496,plain,
( composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) != converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))
| converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) != converse(complement(one))
| composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) = converse(complement(one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one))),bind(Y,$fot(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))))),bind(Z,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1497,plain,
( converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))) != converse(complement(one))
| composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one),converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one))))))) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),converse(complement(one))) )],[refute_0_1494,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)))]]) ).
cnf(refute_0_1500,plain,
( composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) != converse(complement(one))
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) != join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one))
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = join(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)),join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1501,plain,
( composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one) != converse(complement(one))
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = join(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)),join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) = join(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one),converse(complement(one))) )],[refute_0_1498,refute_0_1501]) ).
cnf(refute_0_1503,plain,
( join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) != complement(one)
| join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) != join(complement(one),converse(complement(one)))
| join(complement(one),converse(complement(one))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)),complement(one)) ),[0],$fot(join(complement(one),converse(complement(one))))]]) ).
cnf(refute_0_1504,plain,
( join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)) != complement(one)
| join(complement(one),converse(complement(one))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)),join(complement(one),converse(complement(one)))) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(meet(converse(complement(one)),complement(meet(one,converse(complement(one)))))),one)),complement(one)) )],[refute_0_1486,refute_0_1504]) ).
cnf(refute_0_1506,plain,
join(converse(complement(one)),complement(one)) = join(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(one))),bind(X_124,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1507,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| join(converse(complement(one)),complement(one)) != join(complement(one),converse(complement(one)))
| join(converse(complement(one)),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(complement(one)),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1508,plain,
( join(complement(one),converse(complement(one))) != complement(one)
| join(converse(complement(one)),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),join(complement(one),converse(complement(one)))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
join(converse(complement(one)),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1505,refute_0_1508]) ).
cnf(refute_0_1510,plain,
composition(complement(one),one) = complement(one),
inference(subst,[],[refute_0_48:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1511,plain,
meet(one,complement(composition(converse(X_36),complement(X_36)))) = complement(join(complement(one),composition(converse(X_36),complement(X_36)))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(one)),bind(X_180,$fot(composition(converse(X_36),complement(X_36))))]]) ).
cnf(refute_0_1512,plain,
( join(complement(one),composition(converse(X_36),complement(X_36))) != complement(one)
| meet(one,complement(composition(converse(X_36),complement(X_36)))) != complement(join(complement(one),composition(converse(X_36),complement(X_36))))
| meet(one,complement(composition(converse(X_36),complement(X_36)))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(X_36),complement(X_36)))),complement(join(complement(one),composition(converse(X_36),complement(X_36))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1513,plain,
( meet(one,complement(composition(converse(X_36),complement(X_36)))) != complement(join(complement(one),composition(converse(X_36),complement(X_36))))
| meet(one,complement(composition(converse(X_36),complement(X_36)))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_36),complement(X_36))),complement(one)) )],[refute_0_1030,refute_0_1512]) ).
cnf(refute_0_1514,plain,
meet(one,complement(composition(converse(X_36),complement(X_36)))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(X_36),complement(X_36)))),complement(join(complement(one),composition(converse(X_36),complement(X_36))))) )],[refute_0_1511,refute_0_1513]) ).
cnf(refute_0_1515,plain,
( complement(complement(one)) != one
| meet(one,complement(composition(converse(X_36),complement(X_36)))) != complement(complement(one))
| meet(one,complement(composition(converse(X_36),complement(X_36)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(X_36),complement(X_36)))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_1516,plain,
( meet(one,complement(composition(converse(X_36),complement(X_36)))) != complement(complement(one))
| meet(one,complement(composition(converse(X_36),complement(X_36)))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_650,refute_0_1515]) ).
cnf(refute_0_1517,plain,
meet(one,complement(composition(converse(X_36),complement(X_36)))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(X_36),complement(X_36)))),complement(complement(one))) )],[refute_0_1514,refute_0_1516]) ).
cnf(refute_0_1518,plain,
meet(one,complement(composition(converse(complement(X_83)),complement(complement(X_83))))) = one,
inference(subst,[],[refute_0_1517:[bind(X_36,$fot(complement(X_83)))]]) ).
cnf(refute_0_1519,plain,
( complement(complement(X_83)) != X_83
| meet(one,complement(composition(converse(complement(X_83)),complement(complement(X_83))))) != one
| meet(one,complement(composition(converse(complement(X_83)),X_83))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(complement(X_83)),complement(complement(X_83))))),one) ),[0,1,0,1],$fot(X_83)]]) ).
cnf(refute_0_1520,plain,
( meet(one,complement(composition(converse(complement(X_83)),complement(complement(X_83))))) != one
| meet(one,complement(composition(converse(complement(X_83)),X_83))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_1519]) ).
cnf(refute_0_1521,plain,
meet(one,complement(composition(converse(complement(X_83)),X_83))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(complement(X_83)),complement(complement(X_83))))),one) )],[refute_0_1518,refute_0_1520]) ).
cnf(refute_0_1522,plain,
meet(one,complement(composition(converse(complement(one)),one))) = one,
inference(subst,[],[refute_0_1521:[bind(X_83,$fot(one))]]) ).
cnf(refute_0_1523,plain,
composition(converse(complement(one)),one) = converse(complement(one)),
inference(subst,[],[refute_0_48:[bind(X0,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1524,plain,
( composition(converse(complement(one)),one) != converse(complement(one))
| meet(one,complement(composition(converse(complement(one)),one))) != one
| meet(one,complement(converse(complement(one)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(complement(one)),one))),one) ),[0,1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1525,plain,
( meet(one,complement(composition(converse(complement(one)),one))) != one
| meet(one,complement(converse(complement(one)))) = one ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),one),converse(complement(one))) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
meet(one,complement(converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(complement(one)),one))),one) )],[refute_0_1522,refute_0_1525]) ).
cnf(refute_0_1527,plain,
( meet(one,complement(converse(complement(one)))) != complement(converse(complement(one)))
| meet(one,complement(converse(complement(one)))) != one
| complement(converse(complement(one))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(complement(one)))),one) ),[0],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_1528,plain,
( meet(one,complement(converse(complement(one)))) != one
| complement(converse(complement(one))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(one)))),complement(converse(complement(one)))) )],[refute_0_1463,refute_0_1527]) ).
cnf(refute_0_1529,plain,
complement(converse(complement(one))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(one)))),one) )],[refute_0_1526,refute_0_1528]) ).
cnf(refute_0_1530,plain,
composition(complement(one),complement(converse(complement(one)))) = composition(complement(one),complement(converse(complement(one)))),
introduced(tautology,[refl,[$fot(composition(complement(one),complement(converse(complement(one)))))]]) ).
cnf(refute_0_1531,plain,
( complement(converse(complement(one))) != one
| composition(complement(one),complement(converse(complement(one)))) != composition(complement(one),complement(converse(complement(one))))
| composition(complement(one),complement(converse(complement(one)))) = composition(complement(one),one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(converse(complement(one)))),composition(complement(one),complement(converse(complement(one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1532,plain,
( complement(converse(complement(one))) != one
| composition(complement(one),complement(converse(complement(one)))) = composition(complement(one),one) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(complement(one)))),composition(complement(one),complement(converse(complement(one))))) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
composition(complement(one),complement(converse(complement(one)))) = composition(complement(one),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_1529,refute_0_1532]) ).
cnf(refute_0_1534,plain,
( composition(complement(one),complement(converse(complement(one)))) != composition(complement(one),one)
| composition(complement(one),one) != complement(one)
| composition(complement(one),complement(converse(complement(one)))) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(one),complement(converse(complement(one)))))),bind(Y,$fot(composition(complement(one),one))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1535,plain,
( composition(complement(one),one) != complement(one)
| composition(complement(one),complement(converse(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(complement(one)))),composition(complement(one),one)) )],[refute_0_1533,refute_0_1534]) ).
cnf(refute_0_1536,plain,
composition(complement(one),complement(converse(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(composition(complement(one),one),complement(one)) )],[refute_0_1510,refute_0_1535]) ).
cnf(refute_0_1537,plain,
join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))))]]) ).
cnf(refute_0_1538,plain,
( composition(complement(one),complement(converse(complement(one)))) != complement(one)
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) != join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = join(converse(complement(one)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1539,plain,
( composition(complement(one),complement(converse(complement(one)))) != complement(one)
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = join(converse(complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),join(converse(complement(one)),composition(complement(one),complement(converse(complement(one)))))) )],[refute_0_1537,refute_0_1538]) ).
cnf(refute_0_1540,plain,
join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = join(converse(complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(complement(one)))),complement(one)) )],[refute_0_1536,refute_0_1539]) ).
cnf(refute_0_1541,plain,
( join(converse(complement(one)),complement(one)) != complement(one)
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) != join(converse(complement(one)),complement(one))
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))))),bind(Y,$fot(join(converse(complement(one)),complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1542,plain,
( join(converse(complement(one)),complement(one)) != complement(one)
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),join(converse(complement(one)),complement(one))) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),complement(one)) )],[refute_0_1509,refute_0_1542]) ).
cnf(refute_0_1544,plain,
( join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) != complement(one)
| join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),converse(complement(one))) ),[0],$fot(complement(one))]]) ).
cnf(refute_0_1545,plain,
( join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))) != converse(complement(one))
| complement(one) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),complement(one)) )],[refute_0_1543,refute_0_1544]) ).
cnf(refute_0_1546,plain,
complement(one) = converse(complement(one)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),composition(complement(one),complement(converse(complement(one))))),converse(complement(one))) )],[refute_0_1419,refute_0_1545]) ).
cnf(refute_0_1547,plain,
( complement(one) != converse(complement(one))
| converse(complement(one)) = complement(one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(one))),bind(Y,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1548,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),converse(complement(one))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
join(skolemFOFtoCNF_X0,converse(complement(one))) = join(skolemFOFtoCNF_X0,converse(complement(one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))]]) ).
cnf(refute_0_1550,plain,
( converse(complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0,converse(complement(one))) != join(skolemFOFtoCNF_X0,converse(complement(one)))
| join(skolemFOFtoCNF_X0,converse(complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(one))),join(skolemFOFtoCNF_X0,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1551,plain,
( converse(complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0,converse(complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(one))),join(skolemFOFtoCNF_X0,converse(complement(one)))) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
join(skolemFOFtoCNF_X0,converse(complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1548,refute_0_1551]) ).
cnf(refute_0_1553,plain,
join(converse(complement(one)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(complement(one))),
inference(subst,[],[refute_0_1350:[bind(X_26,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1554,plain,
converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(converse(complement(one)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(complement(one)))]]) ).
cnf(refute_0_1555,plain,
( converse(join(complement(one),converse(skolemFOFtoCNF_X0))) != join(converse(complement(one)),skolemFOFtoCNF_X0)
| join(converse(complement(one)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(complement(one)))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(complement(one),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(complement(one)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(one)))))]]) ).
cnf(refute_0_1556,plain,
( join(converse(complement(one)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(complement(one)))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(skolemFOFtoCNF_X0))),join(converse(complement(one)),skolemFOFtoCNF_X0)) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(one))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(complement(one)))) )],[refute_0_1553,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( converse(join(complement(one),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(one)))
| join(skolemFOFtoCNF_X0,converse(complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(complement(one),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1559,plain,
( join(skolemFOFtoCNF_X0,converse(complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(one)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
converse(join(complement(one),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1552,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( converse(join(complement(one),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(complement(one),converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),converse(join(complement(one),converse(skolemFOFtoCNF_X0)))) ),[1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1562,plain,
( join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(complement(one),converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
( converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(complement(one),converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),converse(join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1357,refute_0_1562]) ).
cnf(refute_0_1564,plain,
join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1020,refute_0_1563]) ).
cnf(refute_0_1565,plain,
( converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(one))
| converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1566,plain,
( converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))
| converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1003,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(converse(skolemFOFtoCNF_X0))),bind(X_27,$fot(meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_1569,plain,
( join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(X_26,join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != converse(skolemFOFtoCNF_X0)
| join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1570,plain,
( join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(X_26,join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1125,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(X_26,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) )],[refute_0_1568,refute_0_1570]) ).
cnf(refute_0_1572,plain,
join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),
introduced(tautology,[refl,[$fot(join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_1573,plain,
( join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))
| meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) != zero
| join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = join(X_26,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1574,plain,
( meet(converse(skolemFOFtoCNF_X0),composition(top,zero)) != zero
| join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = join(X_26,zero) ),
inference(resolve,[$cnf( $equal(join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) )],[refute_0_1572,refute_0_1573]) ).
cnf(refute_0_1575,plain,
join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = join(X_26,zero),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(top,zero)),zero) )],[refute_0_1327,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != join(X_26,zero)
| join(X_26,zero) != X_26
| join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = X_26 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))),bind(Y,$fot(join(X_26,zero))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_1577,plain,
( join(X_26,zero) != X_26
| join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = X_26 ),
inference(resolve,[$cnf( $equal(join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),join(X_26,zero)) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) = X_26,
inference(resolve,[$cnf( $equal(join(X_26,zero),X_26) )],[refute_0_1144,refute_0_1577]) ).
cnf(refute_0_1579,plain,
join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))))]]) ).
cnf(refute_0_1580,plain,
( join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != X_26
| join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))
| join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(converse(skolemFOFtoCNF_X0),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_1581,plain,
( join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))) != X_26
| join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(converse(skolemFOFtoCNF_X0),X_26) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))))) )],[refute_0_1579,refute_0_1580]) ).
cnf(refute_0_1582,plain,
join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) = join(converse(skolemFOFtoCNF_X0),X_26),
inference(resolve,[$cnf( $equal(join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero))),X_26) )],[refute_0_1578,refute_0_1581]) ).
cnf(refute_0_1583,plain,
( join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(X_26,converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(converse(skolemFOFtoCNF_X0),X_26)
| join(converse(skolemFOFtoCNF_X0),X_26) = join(X_26,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),X_26))]]) ).
cnf(refute_0_1584,plain,
( join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))) != join(X_26,converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),X_26) = join(X_26,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(converse(skolemFOFtoCNF_X0),X_26)) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(converse(skolemFOFtoCNF_X0),X_26) = join(X_26,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_26,meet(converse(skolemFOFtoCNF_X0),composition(top,zero)))),join(X_26,converse(skolemFOFtoCNF_X0))) )],[refute_0_1571,refute_0_1584]) ).
cnf(refute_0_1586,plain,
( join(converse(skolemFOFtoCNF_X0),X_26) != join(X_26,converse(skolemFOFtoCNF_X0))
| join(X_26,converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),X_26))),bind(Y,$fot(join(X_26,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1587,plain,
join(X_26,converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),X_26),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),X_26),join(X_26,converse(skolemFOFtoCNF_X0))) )],[refute_0_1585,refute_0_1586]) ).
cnf(refute_0_1588,plain,
join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1587:[bind(X_26,$fot(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1589,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1590,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_1588,refute_0_1589]) ).
cnf(refute_0_1591,plain,
join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_1017,refute_0_1590]) ).
cnf(refute_0_1592,plain,
converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_310:[bind(X0,$fot(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))))),bind(X_20,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1593,plain,
( converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))
| join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1594,plain,
( join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_1591,refute_0_1594]) ).
cnf(refute_0_1596,plain,
( converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),[0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1597,plain,
( converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(complement(one),join(complement(one),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1567,refute_0_1597]) ).
cnf(refute_0_1599,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1600,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != meet(one,join(complement(one),converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1601,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(one,join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1599,refute_0_1600]) ).
cnf(refute_0_1602,plain,
meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1598,refute_0_1601]) ).
cnf(refute_0_1603,plain,
( meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) ),[0],$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1604,plain,
( meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1602,refute_0_1603]) ).
cnf(refute_0_1605,plain,
meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_991,refute_0_1604]) ).
cnf(refute_0_1606,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(one)),bind(X_180,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1607,plain,
complement(skolemFOFtoCNF_X0) = join(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_97,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1608,plain,
meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = complement(join(complement(X_178),meet(one,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_192:[bind(X0,$fot(X_178)),bind(X_14,$fot(one)),bind(X_15,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1609,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(skolemFOFtoCNF_X0)),bind(X_84,$fot(one))]]) ).
cnf(refute_0_1610,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,top) != top
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(top)]]) ).
cnf(refute_0_1611,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_1610]) ).
cnf(refute_0_1612,plain,
top = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_334,refute_0_1611]) ).
cnf(refute_0_1613,plain,
( top != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1614,plain,
join(one,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1612,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != top
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1616,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,one),complement(top)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(join(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1609,refute_0_1616]) ).
cnf(refute_0_1618,plain,
join(zero,meet(one,skolemFOFtoCNF_X0)) = meet(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1619,plain,
meet(skolemFOFtoCNF_X0,one) = meet(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1620,plain,
join(zero,meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(skolemFOFtoCNF_X0,one)),
introduced(tautology,[refl,[$fot(join(zero,meet(skolemFOFtoCNF_X0,one)))]]) ).
cnf(refute_0_1621,plain,
( join(zero,meet(skolemFOFtoCNF_X0,one)) != join(zero,meet(skolemFOFtoCNF_X0,one))
| meet(skolemFOFtoCNF_X0,one) != meet(one,skolemFOFtoCNF_X0)
| join(zero,meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,one)),join(zero,meet(skolemFOFtoCNF_X0,one))) ),[1,1],$fot(meet(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1622,plain,
( meet(skolemFOFtoCNF_X0,one) != meet(one,skolemFOFtoCNF_X0)
| join(zero,meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,one)),join(zero,meet(skolemFOFtoCNF_X0,one))) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
join(zero,meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,one),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1619,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(complement(top),meet(skolemFOFtoCNF_X0,one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(skolemFOFtoCNF_X0,one)))]]) ).
cnf(refute_0_1625,plain,
( complement(top) != zero
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) != join(complement(top),meet(skolemFOFtoCNF_X0,one))
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(skolemFOFtoCNF_X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,one)),join(complement(top),meet(skolemFOFtoCNF_X0,one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1626,plain,
( complement(top) != zero
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(skolemFOFtoCNF_X0,one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,one)),join(complement(top),meet(skolemFOFtoCNF_X0,one))) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(skolemFOFtoCNF_X0,one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1626]) ).
cnf(refute_0_1628,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0,one)) != join(zero,meet(skolemFOFtoCNF_X0,one))
| join(zero,meet(skolemFOFtoCNF_X0,one)) != join(zero,meet(one,skolemFOFtoCNF_X0))
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(skolemFOFtoCNF_X0,one)))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,one)))),bind(Z,$fot(join(zero,meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1629,plain,
( join(zero,meet(skolemFOFtoCNF_X0,one)) != join(zero,meet(one,skolemFOFtoCNF_X0))
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,one)),join(zero,meet(skolemFOFtoCNF_X0,one))) )],[refute_0_1627,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(complement(top),meet(skolemFOFtoCNF_X0,one)) = join(zero,meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,one)),join(zero,meet(one,skolemFOFtoCNF_X0))) )],[refute_0_1623,refute_0_1629]) ).
cnf(refute_0_1631,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0,one)) != join(zero,meet(one,skolemFOFtoCNF_X0))
| join(zero,meet(one,skolemFOFtoCNF_X0)) != meet(one,skolemFOFtoCNF_X0)
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) = meet(one,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(skolemFOFtoCNF_X0,one)))),bind(Y,$fot(join(zero,meet(one,skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1632,plain,
( join(zero,meet(one,skolemFOFtoCNF_X0)) != meet(one,skolemFOFtoCNF_X0)
| join(complement(top),meet(skolemFOFtoCNF_X0,one)) = meet(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,one)),join(zero,meet(one,skolemFOFtoCNF_X0))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
join(complement(top),meet(skolemFOFtoCNF_X0,one)) = meet(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(zero,meet(one,skolemFOFtoCNF_X0)),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1618,refute_0_1632]) ).
cnf(refute_0_1634,plain,
join(meet(skolemFOFtoCNF_X0,one),complement(top)) = join(complement(top),meet(skolemFOFtoCNF_X0,one)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(skolemFOFtoCNF_X0,one)))]]) ).
cnf(refute_0_1635,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0,one)) != meet(one,skolemFOFtoCNF_X0)
| join(meet(skolemFOFtoCNF_X0,one),complement(top)) != join(complement(top),meet(skolemFOFtoCNF_X0,one))
| join(meet(skolemFOFtoCNF_X0,one),complement(top)) = meet(one,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,one),complement(top)))),bind(Y,$fot(join(complement(top),meet(skolemFOFtoCNF_X0,one)))),bind(Z,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1636,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0,one)) != meet(one,skolemFOFtoCNF_X0)
| join(meet(skolemFOFtoCNF_X0,one),complement(top)) = meet(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,one),complement(top)),join(complement(top),meet(skolemFOFtoCNF_X0,one))) )],[refute_0_1634,refute_0_1635]) ).
cnf(refute_0_1637,plain,
join(meet(skolemFOFtoCNF_X0,one),complement(top)) = meet(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,one)),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1633,refute_0_1636]) ).
cnf(refute_0_1638,plain,
( join(meet(skolemFOFtoCNF_X0,one),complement(top)) != meet(one,skolemFOFtoCNF_X0)
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(top))
| skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(top))) ),[1],$fot(meet(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1639,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,one),complement(top))
| skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,one),complement(top)),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1637,refute_0_1638]) ).
cnf(refute_0_1640,plain,
skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,one),complement(top))) )],[refute_0_1617,refute_0_1639]) ).
cnf(refute_0_1641,plain,
( skolemFOFtoCNF_X0 != meet(one,skolemFOFtoCNF_X0)
| meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1642,plain,
meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,skolemFOFtoCNF_X0)) )],[refute_0_1640,refute_0_1641]) ).
cnf(refute_0_1643,plain,
( meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != complement(join(complement(X_178),meet(one,skolemFOFtoCNF_X0)))
| meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = complement(join(complement(X_178),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),complement(join(complement(X_178),meet(one,skolemFOFtoCNF_X0)))) ),[1,0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1644,plain,
( meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != complement(join(complement(X_178),meet(one,skolemFOFtoCNF_X0)))
| meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = complement(join(complement(X_178),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1642,refute_0_1643]) ).
cnf(refute_0_1645,plain,
meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = complement(join(complement(X_178),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),complement(join(complement(X_178),meet(one,skolemFOFtoCNF_X0)))) )],[refute_0_1608,refute_0_1644]) ).
cnf(refute_0_1646,plain,
complement(meet(one,skolemFOFtoCNF_X0)) = complement(meet(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1647,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1648,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1642,refute_0_1648]) ).
cnf(refute_0_1650,plain,
meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1651,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != meet(X_178,complement(meet(one,skolemFOFtoCNF_X0)))
| meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = meet(X_178,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),meet(X_178,complement(meet(one,skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1652,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = meet(X_178,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),meet(X_178,complement(meet(one,skolemFOFtoCNF_X0)))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) = meet(X_178,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_1649,refute_0_1652]) ).
cnf(refute_0_1654,plain,
( meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != complement(join(complement(X_178),skolemFOFtoCNF_X0))
| meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != meet(X_178,complement(skolemFOFtoCNF_X0))
| meet(X_178,complement(skolemFOFtoCNF_X0)) = complement(join(complement(X_178),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),complement(join(complement(X_178),skolemFOFtoCNF_X0))) ),[0],$fot(meet(X_178,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1655,plain,
( meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != complement(join(complement(X_178),skolemFOFtoCNF_X0))
| meet(X_178,complement(skolemFOFtoCNF_X0)) = complement(join(complement(X_178),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),meet(X_178,complement(skolemFOFtoCNF_X0))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
join(complement(X_178),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(X_178)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(X_178)))]]) ).
cnf(refute_0_1657,plain,
complement(join(complement(X_178),skolemFOFtoCNF_X0)) = complement(join(complement(X_178),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_178),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1658,plain,
( complement(join(complement(X_178),skolemFOFtoCNF_X0)) != complement(join(complement(X_178),skolemFOFtoCNF_X0))
| join(complement(X_178),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(X_178))
| complement(join(complement(X_178),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_178),skolemFOFtoCNF_X0)),complement(join(complement(X_178),skolemFOFtoCNF_X0))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(X_178)))]]) ).
cnf(refute_0_1659,plain,
( join(complement(X_178),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(X_178))
| complement(join(complement(X_178),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_178),skolemFOFtoCNF_X0)),complement(join(complement(X_178),skolemFOFtoCNF_X0))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
complement(join(complement(X_178),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))),
inference(resolve,[$cnf( $equal(join(complement(X_178),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(X_178))) )],[refute_0_1656,refute_0_1659]) ).
cnf(refute_0_1661,plain,
( complement(join(complement(X_178),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(X_178)))
| meet(X_178,complement(skolemFOFtoCNF_X0)) != complement(join(complement(X_178),skolemFOFtoCNF_X0))
| meet(X_178,complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(skolemFOFtoCNF_X0)),complement(join(complement(X_178),skolemFOFtoCNF_X0))) ),[1],$fot(complement(join(skolemFOFtoCNF_X0,complement(X_178))))]]) ).
cnf(refute_0_1662,plain,
( meet(X_178,complement(skolemFOFtoCNF_X0)) != complement(join(complement(X_178),skolemFOFtoCNF_X0))
| meet(X_178,complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_178),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(X_178)))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
( meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))) != complement(join(complement(X_178),skolemFOFtoCNF_X0))
| meet(X_178,complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(skolemFOFtoCNF_X0)),complement(join(complement(X_178),skolemFOFtoCNF_X0))) )],[refute_0_1655,refute_0_1662]) ).
cnf(refute_0_1664,plain,
meet(X_178,complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(X_178))),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(one,skolemFOFtoCNF_X0))),complement(join(complement(X_178),skolemFOFtoCNF_X0))) )],[refute_0_1645,refute_0_1663]) ).
cnf(refute_0_1665,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1664:[bind(X_178,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1666,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_84,$fot(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_1667,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_192:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_14,$fot(one)),bind(X_15,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1668,plain,
one = join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(one)),bind(X_84,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1669,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_84,$fot(one))]]) ).
cnf(refute_0_1670,plain,
join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(complement(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1671,plain,
one = join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(one)),bind(X_84,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1672,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| one != join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1673,plain,
( one != join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1642,refute_0_1672]) ).
cnf(refute_0_1674,plain,
one = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1671,refute_0_1673]) ).
cnf(refute_0_1675,plain,
( one != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1676,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1674,refute_0_1675]) ).
cnf(refute_0_1677,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))) != one
| join(one,one) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1678,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(one,one) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one)))),one) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
join(one,one) = join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1670,refute_0_1678]) ).
cnf(refute_0_1680,plain,
( join(one,one) != join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))
| join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) = join(one,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,one))),bind(Y,$fot(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1681,plain,
join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,one),join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))) != join(one,one)
| join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1683,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,complement(one)))),join(one,one)) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1669,refute_0_1683]) ).
cnf(refute_0_1685,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),one) = meet(one,join(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1686,plain,
join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) = join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)),
introduced(tautology,[refl,[$fot(join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)))]]) ).
cnf(refute_0_1687,plain,
( join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) != join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one))
| meet(join(skolemFOFtoCNF_X0,complement(one)),one) != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)),join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one))) ),[1,1],$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1688,plain,
( meet(join(skolemFOFtoCNF_X0,complement(one)),one) != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)),join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one))) )],[refute_0_1686,refute_0_1687]) ).
cnf(refute_0_1689,plain,
join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1685,refute_0_1688]) ).
cnf(refute_0_1690,plain,
join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) = join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(join(one,one)))),bind(X1,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),one)))]]) ).
cnf(refute_0_1691,plain,
( join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) != join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) != join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one))
| join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))))),bind(Y,$fot(join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)))),bind(Z,$fot(join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1692,plain,
( join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)) != join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))),join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(join(skolemFOFtoCNF_X0,complement(one)),one)),join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1689,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))) != join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one)))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one)))) ),[1],$fot(join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1695,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one)))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one))),join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),one),complement(join(one,one)))) )],[refute_0_1684,refute_0_1695]) ).
cnf(refute_0_1697,plain,
( complement(X_107) != complement(join(X_107,X_107))
| complement(join(X_107,X_107)) = complement(X_107) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_107))),bind(Y,$fot(complement(join(X_107,X_107))))]]) ).
cnf(refute_0_1698,plain,
complement(join(X_107,X_107)) = complement(X_107),
inference(resolve,[$cnf( $equal(complement(X_107),complement(join(X_107,X_107))) )],[refute_0_838,refute_0_1697]) ).
cnf(refute_0_1699,plain,
complement(join(one,one)) = complement(one),
inference(subst,[],[refute_0_1698:[bind(X_107,$fot(one))]]) ).
cnf(refute_0_1700,plain,
join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1701,plain,
( complement(join(one,one)) != complement(one)
| join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1702,plain,
( complement(join(one,one)) != complement(one)
| join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(join(one,one)),complement(one)) )],[refute_0_1699,refute_0_1702]) ).
cnf(refute_0_1704,plain,
( join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) != join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1705,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1703,refute_0_1704]) ).
cnf(refute_0_1706,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(join(one,one)),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1696,refute_0_1705]) ).
cnf(refute_0_1707,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1708,plain,
join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
( join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| one != join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| one = join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1710,plain,
( one != join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| one = join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1708,refute_0_1709]) ).
cnf(refute_0_1711,plain,
one = join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(one,join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1668,refute_0_1710]) ).
cnf(refute_0_1712,plain,
meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one) = meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1713,plain,
join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)),
introduced(tautology,[refl,[$fot(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)))]]) ).
cnf(refute_0_1714,plain,
( join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) != join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one))
| meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one) != meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)),join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one))) ),[1,1],$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1715,plain,
( meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one) != meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)),join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one))) )],[refute_0_1713,refute_0_1714]) ).
cnf(refute_0_1716,plain,
join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1712,refute_0_1715]) ).
cnf(refute_0_1717,plain,
join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(join(skolemFOFtoCNF_X0,complement(one))))),bind(X1,$fot(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)))]]) ).
cnf(refute_0_1718,plain,
( join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) != join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one))
| join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)))),bind(Z,$fot(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_1719,plain,
( join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)) != join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one))) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one)),join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1716,refute_0_1719]) ).
cnf(refute_0_1721,plain,
( join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| one != join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1722,plain,
( one != join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one))))
| one = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
one = join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(one,join(meet(meet(one,join(skolemFOFtoCNF_X0,complement(one))),one),complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1711,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( one != join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_1725,plain,
join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
( join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) != one
| meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1727,plain,
( meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),one) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1667,refute_0_1727]) ).
cnf(refute_0_1729,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != complement(one)
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1730,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(one)) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1666,refute_0_1730]) ).
cnf(refute_0_1732,plain,
meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),
inference(subst,[],[refute_0_192:[bind(X0,$fot(one)),bind(X_14,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_15,$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1733,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_84,$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1734,plain,
( join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) != one
| join(skolemFOFtoCNF_X0,complement(one)) != join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_1735,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),one) )],[refute_0_1725,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_1733,refute_0_1735]) ).
cnf(refute_0_1737,plain,
meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_15,$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1738,plain,
join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1739,plain,
( join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))) ),[1,1],$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1740,plain,
( meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1738,refute_0_1739]) ).
cnf(refute_0_1741,plain,
join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1737,refute_0_1740]) ).
cnf(refute_0_1742,plain,
join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) = join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1743,plain,
( join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) != join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)))),bind(Y,$fot(join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_1744,plain,
( join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)),join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1741,refute_0_1744]) ).
cnf(refute_0_1746,plain,
( join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)) != join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) != join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one))) ),[1],$fot(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_1747,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one)),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1745,refute_0_1746]) ).
cnf(refute_0_1748,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),complement(one))) )],[refute_0_1736,refute_0_1747]) ).
cnf(refute_0_1749,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_1750,plain,
join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
( join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1752,plain,
( meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1750,refute_0_1751]) ).
cnf(refute_0_1753,plain,
meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_1732,refute_0_1752]) ).
cnf(refute_0_1754,plain,
( meet(X_178,complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(X_178)))
| complement(join(skolemFOFtoCNF_X0,complement(X_178))) = meet(X_178,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_178,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,complement(X_178)))))]]) ).
cnf(refute_0_1755,plain,
complement(join(skolemFOFtoCNF_X0,complement(X_178))) = meet(X_178,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(X_178)))) )],[refute_0_1664,refute_0_1754]) ).
cnf(refute_0_1756,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1755:[bind(X_178,$fot(one))]]) ).
cnf(refute_0_1757,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1758,plain,
( meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1756,refute_0_1757]) ).
cnf(refute_0_1759,plain,
meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1753,refute_0_1758]) ).
cnf(refute_0_1760,plain,
complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1761,plain,
( complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) != complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1762,plain,
( meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1737,refute_0_1762]) ).
cnf(refute_0_1764,plain,
join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1765,plain,
( complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) != complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_1766,plain,
( complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))) != complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1764,refute_0_1765]) ).
cnf(refute_0_1767,plain,
join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1763,refute_0_1766]) ).
cnf(refute_0_1768,plain,
meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1769,plain,
( join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_1770,plain,
( join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1767,refute_0_1770]) ).
cnf(refute_0_1772,plain,
( meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1773,plain,
( meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1759,refute_0_1773]) ).
cnf(refute_0_1775,plain,
complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_1776,plain,
( complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1777,plain,
( meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1774,refute_0_1777]) ).
cnf(refute_0_1779,plain,
join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(one)),bind(X1,$fot(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_1780,plain,
( complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1781,plain,
( complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1778,refute_0_1781]) ).
cnf(refute_0_1783,plain,
( join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(one)) != join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1784,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),complement(join(complement(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_1731,refute_0_1784]) ).
cnf(refute_0_1786,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1787,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1789,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1665,refute_0_1789]) ).
cnf(refute_0_1791,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0))),bind(X_15,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1792,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1793,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_861:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(complement(one)))]]) ).
cnf(refute_0_1795,plain,
complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_1796,plain,
( complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1797,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1794,refute_0_1797]) ).
cnf(refute_0_1799,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1800,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1798,refute_0_1799]) ).
cnf(refute_0_1801,plain,
complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1756,refute_0_1800]) ).
cnf(refute_0_1802,plain,
( complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1803,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1801,refute_0_1802]) ).
cnf(refute_0_1804,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1793,refute_0_1803]) ).
cnf(refute_0_1805,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_1790,refute_0_1804]) ).
cnf(refute_0_1806,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1807,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
complement(skolemFOFtoCNF_X0) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1607,refute_0_1807]) ).
cnf(refute_0_1809,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1810,plain,
one = join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_83,$fot(one))]]) ).
cnf(refute_0_1811,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| one != join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1812,plain,
( one != join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1642,refute_0_1811]) ).
cnf(refute_0_1813,plain,
one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1810,refute_0_1812]) ).
cnf(refute_0_1814,plain,
( one != join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1815,plain,
join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1813,refute_0_1814]) ).
cnf(refute_0_1816,plain,
complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1817,plain,
( complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1818,plain,
( join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1816,refute_0_1817]) ).
cnf(refute_0_1819,plain,
complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_1815,refute_0_1818]) ).
cnf(refute_0_1820,plain,
meet(complement(X_83),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(complement(X_83)))),
inference(subst,[],[refute_0_1664:[bind(X_178,$fot(complement(X_83)))]]) ).
cnf(refute_0_1821,plain,
( complement(complement(X_83)) != X_83
| meet(complement(X_83),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(complement(X_83))))
| meet(complement(X_83),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_83),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(complement(X_83))))) ),[1,0,1],$fot(X_83)]]) ).
cnf(refute_0_1822,plain,
( meet(complement(X_83),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(complement(X_83))))
| meet(complement(X_83),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,X_83)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_1821]) ).
cnf(refute_0_1823,plain,
meet(complement(X_83),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,X_83)),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(complement(X_83))))) )],[refute_0_1820,refute_0_1822]) ).
cnf(refute_0_1824,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1823:[bind(X_83,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1825,plain,
( complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(one)
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1826,plain,
( complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(one)
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1824,refute_0_1825]) ).
cnf(refute_0_1827,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_1819,refute_0_1826]) ).
cnf(refute_0_1828,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1829,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) != complement(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1830,plain,
( meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) != complement(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)),complement(one)) )],[refute_0_1827,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))),bind(Z,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1833,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1809,refute_0_1833]) ).
cnf(refute_0_1835,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1836,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0))),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
complement(skolemFOFtoCNF_X0) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1808,refute_0_1836]) ).
cnf(refute_0_1838,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1839,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1841,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1606,refute_0_1841]) ).
cnf(refute_0_1843,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1844,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_1845,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_1843,refute_0_1844]) ).
cnf(refute_0_1846,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1787,refute_0_1845]) ).
cnf(refute_0_1847,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1848,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1850,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(one))),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1851,plain,
( meet(one,join(skolemFOFtoCNF_X0,complement(one))) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_1850]) ).
cnf(refute_0_1852,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(one))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_1848,refute_0_1851]) ).
cnf(refute_0_1853,plain,
meet(one,join(skolemFOFtoCNF_X0,complement(one))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_1842,refute_0_1852]) ).
cnf(refute_0_1854,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_84),complement(join(complement(join(zero,complement(X1))),X_84))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_84))]]) ).
cnf(refute_0_1855,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_1856,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_197,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_84),complement(join(complement(join(zero,complement(X1))),X_84)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_84),complement(join(complement(join(zero,complement(X1))),X_84)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_1858,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_84),complement(join(complement(join(zero,complement(X1))),X_84)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_84),complement(join(complement(join(zero,complement(X1))),X_84)))) )],[refute_0_1854,refute_0_1858]) ).
cnf(refute_0_1860,plain,
join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84))) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(join(meet(top,X1),X_84)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_84)))]]) ).
cnf(refute_0_1861,plain,
( join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84))) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84)))) ),[1],$fot(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)))]]) ).
cnf(refute_0_1862,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84))),join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))) )],[refute_0_1860,refute_0_1861]) ).
cnf(refute_0_1863,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_84),complement(join(meet(top,X1),X_84)))) )],[refute_0_1859,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| complement(X1) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_1865,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| complement(X1) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_198,refute_0_1864]) ).
cnf(refute_0_1866,plain,
meet(join(zero,complement(X1)),X_84) = meet(join(zero,complement(X1)),X_84),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_84))]]) ).
cnf(refute_0_1867,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_84) != meet(join(zero,complement(X1)),X_84)
| meet(join(zero,complement(X1)),X_84) = meet(complement(X1),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_84),meet(join(zero,complement(X1)),X_84)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_1868,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_84) = meet(complement(X1),X_84) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_84),meet(join(zero,complement(X1)),X_84)) )],[refute_0_1866,refute_0_1867]) ).
cnf(refute_0_1869,plain,
meet(join(zero,complement(X1)),X_84) = meet(complement(X1),X_84),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_198,refute_0_1868]) ).
cnf(refute_0_1870,plain,
join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)))]]) ).
cnf(refute_0_1871,plain,
( join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) != join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84))
| meet(join(zero,complement(X1)),X_84) != meet(complement(X1),X_84)
| join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84))) ),[1,1],$fot(meet(complement(X1),X_84))]]) ).
cnf(refute_0_1872,plain,
( meet(join(zero,complement(X1)),X_84) != meet(complement(X1),X_84)
| join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84))) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_84),meet(complement(X1),X_84)) )],[refute_0_1869,refute_0_1872]) ).
cnf(refute_0_1874,plain,
join(zero,join(complement(complement(X_85)),X2)) = join(complement(complement(X_85)),X2),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(join(complement(complement(X_85)),X2)))]]) ).
cnf(refute_0_1875,plain,
( join(zero,join(complement(complement(X_85)),X2)) != join(X_85,X2)
| join(zero,join(complement(complement(X_85)),X2)) != join(complement(complement(X_85)),X2)
| join(complement(complement(X_85)),X2) = join(X_85,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_85)),X2)),join(X_85,X2)) ),[0],$fot(join(complement(complement(X_85)),X2))]]) ).
cnf(refute_0_1876,plain,
( join(zero,join(complement(complement(X_85)),X2)) != join(X_85,X2)
| join(complement(complement(X_85)),X2) = join(X_85,X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_85)),X2)),join(complement(complement(X_85)),X2)) )],[refute_0_1874,refute_0_1875]) ).
cnf(refute_0_1877,plain,
join(complement(complement(X_85)),X2) = join(X_85,X2),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_85)),X2)),join(X_85,X2)) )],[refute_0_936,refute_0_1876]) ).
cnf(refute_0_1878,plain,
join(complement(complement(X1)),X_84) = join(X1,X_84),
inference(subst,[],[refute_0_1877:[bind(X2,$fot(X_84)),bind(X_85,$fot(X1))]]) ).
cnf(refute_0_1879,plain,
join(meet(top,X1),X_84) = join(meet(top,X1),X_84),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_84))]]) ).
cnf(refute_0_1880,plain,
( join(meet(top,X1),X_84) != join(meet(top,X1),X_84)
| meet(top,X1) != complement(complement(X1))
| join(meet(top,X1),X_84) = join(complement(complement(X1)),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_84),join(meet(top,X1),X_84)) ),[1,0],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_1881,plain,
( meet(top,X1) != complement(complement(X1))
| join(meet(top,X1),X_84) = join(complement(complement(X1)),X_84) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_84),join(meet(top,X1),X_84)) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
join(meet(top,X1),X_84) = join(complement(complement(X1)),X_84),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_205,refute_0_1881]) ).
cnf(refute_0_1883,plain,
( join(complement(complement(X1)),X_84) != join(X1,X_84)
| join(meet(top,X1),X_84) != join(complement(complement(X1)),X_84)
| join(meet(top,X1),X_84) = join(X1,X_84) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(top,X1),X_84))),bind(Y,$fot(join(complement(complement(X1)),X_84))),bind(Z,$fot(join(X1,X_84)))]]) ).
cnf(refute_0_1884,plain,
( join(complement(complement(X1)),X_84) != join(X1,X_84)
| join(meet(top,X1),X_84) = join(X1,X_84) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_84),join(complement(complement(X1)),X_84)) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
join(meet(top,X1),X_84) = join(X1,X_84),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_84),join(X1,X_84)) )],[refute_0_1878,refute_0_1884]) ).
cnf(refute_0_1886,plain,
complement(join(meet(top,X1),X_84)) = complement(join(meet(top,X1),X_84)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_84)))]]) ).
cnf(refute_0_1887,plain,
( complement(join(meet(top,X1),X_84)) != complement(join(meet(top,X1),X_84))
| join(meet(top,X1),X_84) != join(X1,X_84)
| complement(join(meet(top,X1),X_84)) = complement(join(X1,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_84)),complement(join(meet(top,X1),X_84))) ),[1,0],$fot(join(X1,X_84))]]) ).
cnf(refute_0_1888,plain,
( join(meet(top,X1),X_84) != join(X1,X_84)
| complement(join(meet(top,X1),X_84)) = complement(join(X1,X_84)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_84)),complement(join(meet(top,X1),X_84))) )],[refute_0_1886,refute_0_1887]) ).
cnf(refute_0_1889,plain,
complement(join(meet(top,X1),X_84)) = complement(join(X1,X_84)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_84),join(X1,X_84)) )],[refute_0_1885,refute_0_1888]) ).
cnf(refute_0_1890,plain,
join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)))]]) ).
cnf(refute_0_1891,plain,
( complement(join(meet(top,X1),X_84)) != complement(join(X1,X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))) ),[1,0],$fot(complement(join(X1,X_84)))]]) ).
cnf(refute_0_1892,plain,
( complement(join(meet(top,X1),X_84)) != complement(join(X1,X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_84)),complement(join(X1,X_84))) )],[refute_0_1889,refute_0_1892]) ).
cnf(refute_0_1894,plain,
( join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) != join(complement(join(X1,X_84)),meet(complement(X1),X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) != join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)))),bind(Y,$fot(join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)))),bind(Z,$fot(join(complement(join(X1,X_84)),meet(complement(X1),X_84))))]]) ).
cnf(refute_0_1895,plain,
( join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)) != join(complement(join(X1,X_84)),meet(complement(X1),X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84))) )],[refute_0_1893,refute_0_1894]) ).
cnf(refute_0_1896,plain,
join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(X1,X_84)),meet(complement(X1),X_84))) )],[refute_0_1873,refute_0_1895]) ).
cnf(refute_0_1897,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)) != join(complement(join(X1,X_84)),meet(complement(X1),X_84))
| complement(X1) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_84)),meet(complement(X1),X_84))) ),[0],$fot(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)))]]) ).
cnf(refute_0_1898,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| complement(X1) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84)),join(complement(join(X1,X_84)),meet(complement(X1),X_84))) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))
| complement(X1) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))) )],[refute_0_1865,refute_0_1898]) ).
cnf(refute_0_1900,plain,
complement(X1) = join(complement(join(X1,X_84)),meet(complement(X1),X_84)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_84)),meet(join(zero,complement(X1)),X_84))) )],[refute_0_1863,refute_0_1899]) ).
cnf(refute_0_1901,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1900:[bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_84,$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1902,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(X_20,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1903,plain,
join(meet(X_97,X_96),join(meet(X_97,X_96),meet(complement(X_96),X_97))) = join(meet(X_97,X_96),meet(complement(X_96),X_97)),
inference(subst,[],[refute_0_861:[bind(X1,$fot(meet(X_97,X_96))),bind(X2,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_1904,plain,
( X_97 != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(meet(X_97,X_96),meet(complement(X_96),X_97)) = X_97 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_97)),bind(Y,$fot(join(meet(X_97,X_96),meet(complement(X_96),X_97))))]]) ).
cnf(refute_0_1905,plain,
join(meet(X_97,X_96),meet(complement(X_96),X_97)) = X_97,
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,X_96),meet(complement(X_96),X_97))) )],[refute_0_259,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( join(meet(X_97,X_96),join(meet(X_97,X_96),meet(complement(X_96),X_97))) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(meet(X_97,X_96),meet(complement(X_96),X_97)) != X_97
| join(meet(X_97,X_96),X_97) = join(meet(X_97,X_96),meet(complement(X_96),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_97,X_96),join(meet(X_97,X_96),meet(complement(X_96),X_97))),join(meet(X_97,X_96),meet(complement(X_96),X_97))) ),[0,1],$fot(X_97)]]) ).
cnf(refute_0_1907,plain,
( join(meet(X_97,X_96),join(meet(X_97,X_96),meet(complement(X_96),X_97))) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(meet(X_97,X_96),X_97) = join(meet(X_97,X_96),meet(complement(X_96),X_97)) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),X_97) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
join(meet(X_97,X_96),X_97) = join(meet(X_97,X_96),meet(complement(X_96),X_97)),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),join(meet(X_97,X_96),meet(complement(X_96),X_97))),join(meet(X_97,X_96),meet(complement(X_96),X_97))) )],[refute_0_1903,refute_0_1907]) ).
cnf(refute_0_1909,plain,
join(meet(X_97,X_96),X_97) = join(X_97,meet(X_97,X_96)),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_97)),bind(X_124,$fot(meet(X_97,X_96)))]]) ).
cnf(refute_0_1910,plain,
( join(meet(X_97,X_96),X_97) != join(X_97,meet(X_97,X_96))
| join(meet(X_97,X_96),X_97) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(X_97,meet(X_97,X_96)) = join(meet(X_97,X_96),meet(complement(X_96),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_97,X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) ),[0],$fot(join(X_97,meet(X_97,X_96)))]]) ).
cnf(refute_0_1911,plain,
( join(meet(X_97,X_96),X_97) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(X_97,meet(X_97,X_96)) = join(meet(X_97,X_96),meet(complement(X_96),X_97)) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),X_97),join(X_97,meet(X_97,X_96))) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
( join(X_97,meet(X_97,X_96)) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(meet(X_97,X_96),meet(complement(X_96),X_97)) != X_97
| join(X_97,meet(X_97,X_96)) = X_97 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_97,meet(X_97,X_96)),X_97) ),[0],$fot(join(meet(X_97,X_96),meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_1913,plain,
( join(X_97,meet(X_97,X_96)) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(X_97,meet(X_97,X_96)) = X_97 ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),X_97) )],[refute_0_1905,refute_0_1912]) ).
cnf(refute_0_1914,plain,
( join(meet(X_97,X_96),X_97) != join(meet(X_97,X_96),meet(complement(X_96),X_97))
| join(X_97,meet(X_97,X_96)) = X_97 ),
inference(resolve,[$cnf( $equal(join(X_97,meet(X_97,X_96)),join(meet(X_97,X_96),meet(complement(X_96),X_97))) )],[refute_0_1911,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(X_97,meet(X_97,X_96)) = X_97,
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) )],[refute_0_1908,refute_0_1914]) ).
cnf(refute_0_1916,plain,
join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1915:[bind(X_96,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_97,$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1917,plain,
X_83 = join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(join(complement(X_83),join(complement(X_63),meet(X_63,X_83))))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83)),bind(X1,$fot(join(complement(X_63),meet(X_63,X_83))))]]) ).
cnf(refute_0_1918,plain,
join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = join(complement(X_63),join(complement(X_64),meet(X_63,X_64))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(complement(X_64),meet(X_63,X_64)))),bind(X1,$fot(complement(X_63)))]]) ).
cnf(refute_0_1919,plain,
top = join(complement(X_63),join(complement(X_64),meet(X_63,X_64))),
inference(subst,[],[refute_0_271:[bind(X_14,$fot(X_63)),bind(X_15,$fot(X_64))]]) ).
cnf(refute_0_1920,plain,
( top != join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))
| join(complement(X_63),join(complement(X_64),meet(X_63,X_64))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))))]]) ).
cnf(refute_0_1921,plain,
join(complement(X_63),join(complement(X_64),meet(X_63,X_64))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))) )],[refute_0_1919,refute_0_1920]) ).
cnf(refute_0_1922,plain,
( join(complement(X_63),join(complement(X_64),meet(X_63,X_64))) != top
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) != join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)),join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))) ),[1],$fot(top)]]) ).
cnf(refute_0_1923,plain,
( join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) != join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_63),join(complement(X_64),meet(X_63,X_64))),top) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)),join(complement(X_63),join(complement(X_64),meet(X_63,X_64)))) )],[refute_0_1918,refute_0_1923]) ).
cnf(refute_0_1925,plain,
join(X_27,X_26) = join(X_26,X_27),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_27)),bind(X1,$fot(X_26))]]) ).
cnf(refute_0_1926,plain,
( join(X_27,X_26) != join(X_26,X_27)
| join(X_26,X_27) = join(X_27,X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_27,X_26))),bind(Y,$fot(join(X_26,X_27)))]]) ).
cnf(refute_0_1927,plain,
join(X_26,X_27) = join(X_27,X_26),
inference(resolve,[$cnf( $equal(join(X_27,X_26),join(X_26,X_27)) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
( join(X_25,join(X_26,X_27)) != join(join(X_25,X_26),X_27)
| join(X_26,X_27) != join(X_27,X_26)
| join(X_25,join(X_27,X_26)) = join(join(X_25,X_26),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(join(X_25,X_26),X_27)) ),[0,1],$fot(join(X_27,X_26))]]) ).
cnf(refute_0_1929,plain,
( join(X_25,join(X_26,X_27)) != join(join(X_25,X_26),X_27)
| join(X_25,join(X_27,X_26)) = join(join(X_25,X_26),X_27) ),
inference(resolve,[$cnf( $equal(join(X_26,X_27),join(X_27,X_26)) )],[refute_0_1927,refute_0_1928]) ).
cnf(refute_0_1930,plain,
join(X_25,join(X_27,X_26)) = join(join(X_25,X_26),X_27),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(join(X_25,X_26),X_27)) )],[refute_0_450,refute_0_1929]) ).
cnf(refute_0_1931,plain,
join(join(X_25,X_26),X_27) = join(X_25,join(X_26,X_27)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26)),bind(X2,$fot(X_27))]]) ).
cnf(refute_0_1932,plain,
( join(X_25,join(X_27,X_26)) != join(join(X_25,X_26),X_27)
| join(join(X_25,X_26),X_27) != join(X_25,join(X_26,X_27))
| join(X_25,join(X_27,X_26)) = join(X_25,join(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(X_27,X_26)),join(X_25,join(X_26,X_27))) ),[0],$fot(join(join(X_25,X_26),X_27))]]) ).
cnf(refute_0_1933,plain,
( join(X_25,join(X_27,X_26)) != join(join(X_25,X_26),X_27)
| join(X_25,join(X_27,X_26)) = join(X_25,join(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),X_27),join(X_25,join(X_26,X_27))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
join(X_25,join(X_27,X_26)) = join(X_25,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_27,X_26)),join(join(X_25,X_26),X_27)) )],[refute_0_1930,refute_0_1933]) ).
cnf(refute_0_1935,plain,
( join(X_25,join(X_27,X_26)) != join(X_25,join(X_26,X_27))
| join(X_25,join(X_26,X_27)) = join(X_25,join(X_27,X_26)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(X_27,X_26)))),bind(Y,$fot(join(X_25,join(X_26,X_27))))]]) ).
cnf(refute_0_1936,plain,
join(X_25,join(X_26,X_27)) = join(X_25,join(X_27,X_26)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_27,X_26)),join(X_25,join(X_26,X_27))) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
join(complement(X_64),join(meet(X_63,X_64),complement(X_63))) = join(complement(X_64),join(complement(X_63),meet(X_63,X_64))),
inference(subst,[],[refute_0_1936:[bind(X_25,$fot(complement(X_64))),bind(X_26,$fot(meet(X_63,X_64))),bind(X_27,$fot(complement(X_63)))]]) ).
cnf(refute_0_1938,plain,
join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = join(complement(X_64),join(meet(X_63,X_64),complement(X_63))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(complement(X_64))),bind(X1,$fot(meet(X_63,X_64))),bind(X2,$fot(complement(X_63)))]]) ).
cnf(refute_0_1939,plain,
( join(complement(X_64),join(meet(X_63,X_64),complement(X_63))) != join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) != join(complement(X_64),join(meet(X_63,X_64),complement(X_63)))
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = join(complement(X_64),join(complement(X_63),meet(X_63,X_64))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)))),bind(Y,$fot(join(complement(X_64),join(meet(X_63,X_64),complement(X_63))))),bind(Z,$fot(join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))))]]) ).
cnf(refute_0_1940,plain,
( join(complement(X_64),join(meet(X_63,X_64),complement(X_63))) != join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = join(complement(X_64),join(complement(X_63),meet(X_63,X_64))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)),join(complement(X_64),join(meet(X_63,X_64),complement(X_63)))) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) = join(complement(X_64),join(complement(X_63),meet(X_63,X_64))),
inference(resolve,[$cnf( $equal(join(complement(X_64),join(meet(X_63,X_64),complement(X_63))),join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))) )],[refute_0_1937,refute_0_1940]) ).
cnf(refute_0_1942,plain,
( join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) != join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))
| join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) != top
| join(complement(X_64),join(complement(X_63),meet(X_63,X_64))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)),top) ),[0],$fot(join(complement(X_64),join(complement(X_63),meet(X_63,X_64))))]]) ).
cnf(refute_0_1943,plain,
( join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)) != top
| join(complement(X_64),join(complement(X_63),meet(X_63,X_64))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)),join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))) )],[refute_0_1941,refute_0_1942]) ).
cnf(refute_0_1944,plain,
join(complement(X_64),join(complement(X_63),meet(X_63,X_64))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_64),meet(X_63,X_64)),complement(X_63)),top) )],[refute_0_1924,refute_0_1943]) ).
cnf(refute_0_1945,plain,
join(complement(X_83),join(complement(X_63),meet(X_63,X_83))) = top,
inference(subst,[],[refute_0_1944:[bind(X_64,$fot(X_83))]]) ).
cnf(refute_0_1946,plain,
( X_83 != join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(join(complement(X_83),join(complement(X_63),meet(X_63,X_83)))))
| join(complement(X_83),join(complement(X_63),meet(X_63,X_83))) != top
| X_83 = join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(join(complement(X_83),join(complement(X_63),meet(X_63,X_83)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1947,plain,
( X_83 != join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(join(complement(X_83),join(complement(X_63),meet(X_63,X_83)))))
| X_83 = join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),join(complement(X_63),meet(X_63,X_83))),top) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
X_83 = join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(join(complement(X_83),join(complement(X_63),meet(X_63,X_83)))))) )],[refute_0_1917,refute_0_1947]) ).
cnf(refute_0_1949,plain,
join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) = join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))))]]) ).
cnf(refute_0_1950,plain,
( complement(top) != zero
| join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) != join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))),join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1951,plain,
( complement(top) != zero
| join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))),join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83))))) )],[refute_0_1949,refute_0_1950]) ).
cnf(refute_0_1952,plain,
join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1951]) ).
cnf(refute_0_1953,plain,
join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) = join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_83,join(complement(X_63),meet(X_63,X_83)))))]]) ).
cnf(refute_0_1954,plain,
( join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) != join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) != join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))))),bind(Z,$fot(join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))))]]) ).
cnf(refute_0_1955,plain,
( join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) != join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)),join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83))))) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_83,join(complement(X_63),meet(X_63,X_83)))),join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))) )],[refute_0_1952,refute_0_1955]) ).
cnf(refute_0_1957,plain,
( X_83 != join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top))
| join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)) != join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| X_83 = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))) ),[0],$fot(join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)))]]) ).
cnf(refute_0_1958,plain,
( X_83 != join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top))
| X_83 = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top)),join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))) )],[refute_0_1956,refute_0_1957]) ).
cnf(refute_0_1959,plain,
X_83 = join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,join(complement(X_63),meet(X_63,X_83))),complement(top))) )],[refute_0_1948,refute_0_1958]) ).
cnf(refute_0_1960,plain,
join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) = meet(X_83,join(complement(X_63),meet(X_63,X_83))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_83,join(complement(X_63),meet(X_63,X_83)))))]]) ).
cnf(refute_0_1961,plain,
( X_83 != join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) != meet(X_83,join(complement(X_63),meet(X_63,X_83)))
| X_83 = meet(X_83,join(complement(X_63),meet(X_63,X_83))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,meet(X_83,join(complement(X_63),meet(X_63,X_83)))) ),[0],$fot(join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))))]]) ).
cnf(refute_0_1962,plain,
( X_83 != join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))
| X_83 = meet(X_83,join(complement(X_63),meet(X_63,X_83))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83)))),meet(X_83,join(complement(X_63),meet(X_63,X_83)))) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
X_83 = meet(X_83,join(complement(X_63),meet(X_63,X_83))),
inference(resolve,[$cnf( $equal(X_83,join(zero,meet(X_83,join(complement(X_63),meet(X_63,X_83))))) )],[refute_0_1959,refute_0_1962]) ).
cnf(refute_0_1964,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1963:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_83,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1965,plain,
complement(X_424) = join(complement(join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),
inference(subst,[],[refute_0_1900:[bind(X1,$fot(X_424)),bind(X_84,$fot(join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))]]) ).
cnf(refute_0_1966,plain,
join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))) = join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))),
inference(subst,[],[refute_0_460:[bind(X_26,$fot(one)),bind(X_27,$fot(complement(join(skolemFOFtoCNF_X0,X_25))))]]) ).
cnf(refute_0_1967,plain,
join(one,join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))))]]) ).
cnf(refute_0_1968,plain,
top = join(join(X_25,X_26),complement(join(X_25,X_26))),
inference(subst,[],[refute_0_130:[bind(X0,$fot(join(X_25,X_26)))]]) ).
cnf(refute_0_1969,plain,
join(X_25,join(X_26,complement(join(X_25,X_26)))) = join(join(X_25,X_26),complement(join(X_25,X_26))),
inference(subst,[],[refute_0_123:[bind(X0,$fot(X_25)),bind(X1,$fot(X_26)),bind(X2,$fot(complement(join(X_25,X_26))))]]) ).
cnf(refute_0_1970,plain,
( join(X_25,join(X_26,complement(join(X_25,X_26)))) != join(join(X_25,X_26),complement(join(X_25,X_26)))
| join(join(X_25,X_26),complement(join(X_25,X_26))) = join(X_25,join(X_26,complement(join(X_25,X_26)))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(X_26,complement(join(X_25,X_26)))))),bind(Y,$fot(join(join(X_25,X_26),complement(join(X_25,X_26)))))]]) ).
cnf(refute_0_1971,plain,
join(join(X_25,X_26),complement(join(X_25,X_26))) = join(X_25,join(X_26,complement(join(X_25,X_26)))),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,complement(join(X_25,X_26)))),join(join(X_25,X_26),complement(join(X_25,X_26)))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
( join(join(X_25,X_26),complement(join(X_25,X_26))) != join(X_25,join(X_26,complement(join(X_25,X_26))))
| top != join(join(X_25,X_26),complement(join(X_25,X_26)))
| top = join(X_25,join(X_26,complement(join(X_25,X_26)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_25,X_26),complement(join(X_25,X_26)))) ),[1],$fot(join(X_25,join(X_26,complement(join(X_25,X_26)))))]]) ).
cnf(refute_0_1973,plain,
( top != join(join(X_25,X_26),complement(join(X_25,X_26)))
| top = join(X_25,join(X_26,complement(join(X_25,X_26)))) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_26),complement(join(X_25,X_26))),join(X_25,join(X_26,complement(join(X_25,X_26))))) )],[refute_0_1971,refute_0_1972]) ).
cnf(refute_0_1974,plain,
top = join(X_25,join(X_26,complement(join(X_25,X_26)))),
inference(resolve,[$cnf( $equal(top,join(join(X_25,X_26),complement(join(X_25,X_26)))) )],[refute_0_1968,refute_0_1973]) ).
cnf(refute_0_1975,plain,
top = join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))),
inference(subst,[],[refute_0_1974:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_26,$fot(X_139))]]) ).
cnf(refute_0_1976,plain,
( top != join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))
| join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))))]]) ).
cnf(refute_0_1977,plain,
join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) )],[refute_0_1975,refute_0_1976]) ).
cnf(refute_0_1978,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) != join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))
| join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) != top
| join(one,top) = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))),join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1979,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) != join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))
| join(one,top) = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))),top) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
join(one,top) = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))),join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) )],[refute_0_1967,refute_0_1979]) ).
cnf(refute_0_1981,plain,
( join(one,top) != join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))
| join(one,top) != top
| top = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1982,plain,
( join(one,top) != join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))
| top = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_1981]) ).
cnf(refute_0_1983,plain,
top = join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_139,complement(join(skolemFOFtoCNF_X0,X_139))))) )],[refute_0_1980,refute_0_1982]) ).
cnf(refute_0_1984,plain,
top = join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))),
inference(subst,[],[refute_0_1983:[bind(X_139,$fot(X_25))]]) ).
cnf(refute_0_1985,plain,
( top != join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25))))
| join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25))))))]]) ).
cnf(refute_0_1986,plain,
join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25))))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
( join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))) != join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25))))
| join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))) != top
| join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))),top) ),[0],$fot(join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))))]]) ).
cnf(refute_0_1988,plain,
( join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))) != join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25))))
| join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25)))),top) )],[refute_0_1986,refute_0_1987]) ).
cnf(refute_0_1989,plain,
join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))) = top,
inference(resolve,[$cnf( $equal(join(X_25,join(one,complement(join(skolemFOFtoCNF_X0,X_25)))),join(one,join(X_25,complement(join(skolemFOFtoCNF_X0,X_25))))) )],[refute_0_1966,refute_0_1988]) ).
cnf(refute_0_1990,plain,
join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424)))) = top,
inference(subst,[],[refute_0_1989:[bind(X_25,$fot(X_424))]]) ).
cnf(refute_0_1991,plain,
( complement(X_424) != join(complement(join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))
| join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424)))) != top
| complement(X_424) = join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_424),join(complement(join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_1992,plain,
( complement(X_424) != join(complement(join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))
| complement(X_424) = join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) ),
inference(resolve,[$cnf( $equal(join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424)))),top) )],[refute_0_1990,refute_0_1991]) ).
cnf(refute_0_1993,plain,
complement(X_424) = join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),
inference(resolve,[$cnf( $equal(complement(X_424),join(complement(join(X_424,join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))) )],[refute_0_1965,refute_0_1992]) ).
cnf(refute_0_1994,plain,
join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))))]]) ).
cnf(refute_0_1995,plain,
join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))))]]) ).
cnf(refute_0_1996,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) != join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))
| join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1997,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))) )],[refute_0_1995,refute_0_1996]) ).
cnf(refute_0_1998,plain,
join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) != join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))
| join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) != meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))
| join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))))),bind(Y,$fot(join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))))),bind(Z,$fot(meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))))]]) ).
cnf(refute_0_2000,plain,
( join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) != meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))
| join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) )],[refute_0_1994,refute_0_2000]) ).
cnf(refute_0_2002,plain,
( complement(X_424) != join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))
| join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) != meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))
| complement(X_424) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_424),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) ),[0],$fot(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))))]]) ).
cnf(refute_0_2003,plain,
( complement(X_424) != join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))
| complement(X_424) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424))))) )],[refute_0_2001,refute_0_2002]) ).
cnf(refute_0_2004,plain,
complement(X_424) = meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))),
inference(resolve,[$cnf( $equal(complement(X_424),join(complement(top),meet(complement(X_424),join(one,complement(join(skolemFOFtoCNF_X0,X_424)))))) )],[refute_0_1993,refute_0_2003]) ).
cnf(refute_0_2005,plain,
complement(join(complement(skolemFOFtoCNF_X0),X_27)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27))))),
inference(subst,[],[refute_0_2004:[bind(X_424,$fot(join(complement(skolemFOFtoCNF_X0),X_27)))]]) ).
cnf(refute_0_2006,plain,
join(top,X_27) = top,
inference(subst,[],[refute_0_528:[bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_2007,plain,
( join(X_25,join(complement(X_25),X_27)) != join(top,X_27)
| join(top,X_27) != top
| join(X_25,join(complement(X_25),X_27)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(complement(X_25),X_27)),top) ),[0],$fot(join(top,X_27))]]) ).
cnf(refute_0_2008,plain,
( join(X_25,join(complement(X_25),X_27)) != join(top,X_27)
| join(X_25,join(complement(X_25),X_27)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_27),top) )],[refute_0_2006,refute_0_2007]) ).
cnf(refute_0_2009,plain,
join(X_25,join(complement(X_25),X_27)) = top,
inference(resolve,[$cnf( $equal(join(X_25,join(complement(X_25),X_27)),join(top,X_27)) )],[refute_0_350,refute_0_2008]) ).
cnf(refute_0_2010,plain,
join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)) = top,
inference(subst,[],[refute_0_2009:[bind(X_25,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2011,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)))))
| join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)) != top
| complement(join(complement(skolemFOFtoCNF_X0),X_27)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X_27)),meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_2012,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)))))
| complement(join(complement(skolemFOFtoCNF_X0),X_27)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)),top) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
complement(join(complement(skolemFOFtoCNF_X0),X_27)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X_27)),meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(skolemFOFtoCNF_X0),X_27)))))) )],[refute_0_2005,refute_0_2012]) ).
cnf(refute_0_2014,plain,
( meet(X_178,complement(X_180)) != complement(join(complement(X_178),X_180))
| complement(join(complement(X_178),X_180)) = meet(X_178,complement(X_180)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_178,complement(X_180)))),bind(Y,$fot(complement(join(complement(X_178),X_180))))]]) ).
cnf(refute_0_2015,plain,
complement(join(complement(X_178),X_180)) = meet(X_178,complement(X_180)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(X_180)),complement(join(complement(X_178),X_180))) )],[refute_0_230,refute_0_2014]) ).
cnf(refute_0_2016,plain,
complement(join(complement(skolemFOFtoCNF_X0),X_27)) = meet(skolemFOFtoCNF_X0,complement(X_27)),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(X_27))]]) ).
cnf(refute_0_2017,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))
| complement(join(complement(skolemFOFtoCNF_X0),X_27)) != meet(skolemFOFtoCNF_X0,complement(X_27))
| meet(skolemFOFtoCNF_X0,complement(X_27)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X_27)),meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))) ),[0],$fot(meet(skolemFOFtoCNF_X0,complement(X_27)))]]) ).
cnf(refute_0_2018,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X_27)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X_27)),meet(skolemFOFtoCNF_X0,complement(X_27))) )],[refute_0_2016,refute_0_2017]) ).
cnf(refute_0_2019,plain,
complement(join(complement(one),X_27)) = meet(one,complement(X_27)),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(one)),bind(X_180,$fot(X_27))]]) ).
cnf(refute_0_2020,plain,
meet(top,complement(one)) = complement(one),
inference(subst,[],[refute_0_215:[bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_2021,plain,
join(meet(top,complement(one)),X_27) = join(meet(top,complement(one)),X_27),
introduced(tautology,[refl,[$fot(join(meet(top,complement(one)),X_27))]]) ).
cnf(refute_0_2022,plain,
( join(meet(top,complement(one)),X_27) != join(meet(top,complement(one)),X_27)
| meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),X_27) = join(complement(one),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,complement(one)),X_27),join(meet(top,complement(one)),X_27)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2023,plain,
( meet(top,complement(one)) != complement(one)
| join(meet(top,complement(one)),X_27) = join(complement(one),X_27) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),X_27),join(meet(top,complement(one)),X_27)) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
join(meet(top,complement(one)),X_27) = join(complement(one),X_27),
inference(resolve,[$cnf( $equal(meet(top,complement(one)),complement(one)) )],[refute_0_2020,refute_0_2023]) ).
cnf(refute_0_2025,plain,
complement(join(meet(top,complement(one)),X_27)) = complement(join(meet(top,complement(one)),X_27)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,complement(one)),X_27)))]]) ).
cnf(refute_0_2026,plain,
( complement(join(meet(top,complement(one)),X_27)) != complement(join(meet(top,complement(one)),X_27))
| join(meet(top,complement(one)),X_27) != join(complement(one),X_27)
| complement(join(meet(top,complement(one)),X_27)) = complement(join(complement(one),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,complement(one)),X_27)),complement(join(meet(top,complement(one)),X_27))) ),[1,0],$fot(join(complement(one),X_27))]]) ).
cnf(refute_0_2027,plain,
( join(meet(top,complement(one)),X_27) != join(complement(one),X_27)
| complement(join(meet(top,complement(one)),X_27)) = complement(join(complement(one),X_27)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),X_27)),complement(join(meet(top,complement(one)),X_27))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
complement(join(meet(top,complement(one)),X_27)) = complement(join(complement(one),X_27)),
inference(resolve,[$cnf( $equal(join(meet(top,complement(one)),X_27),join(complement(one),X_27)) )],[refute_0_2024,refute_0_2027]) ).
cnf(refute_0_2029,plain,
( complement(join(complement(one),X_27)) != meet(one,complement(X_27))
| complement(join(meet(top,complement(one)),X_27)) != complement(join(complement(one),X_27))
| complement(join(meet(top,complement(one)),X_27)) = meet(one,complement(X_27)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(meet(top,complement(one)),X_27)))),bind(Y,$fot(complement(join(complement(one),X_27)))),bind(Z,$fot(meet(one,complement(X_27))))]]) ).
cnf(refute_0_2030,plain,
( complement(join(complement(one),X_27)) != meet(one,complement(X_27))
| complement(join(meet(top,complement(one)),X_27)) = meet(one,complement(X_27)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),X_27)),complement(join(complement(one),X_27))) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
complement(join(meet(top,complement(one)),X_27)) = meet(one,complement(X_27)),
inference(resolve,[$cnf( $equal(complement(join(complement(one),X_27)),meet(one,complement(X_27))) )],[refute_0_2019,refute_0_2030]) ).
cnf(refute_0_2032,plain,
meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))))]]) ).
cnf(refute_0_2033,plain,
( complement(join(meet(top,complement(one)),X_27)) != meet(one,complement(X_27))
| meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) != meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))
| meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))) ),[1,1],$fot(meet(one,complement(X_27)))]]) ).
cnf(refute_0_2034,plain,
( complement(join(meet(top,complement(one)),X_27)) != meet(one,complement(X_27))
| meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),X_27)),meet(one,complement(X_27))) )],[refute_0_2031,refute_0_2034]) ).
cnf(refute_0_2036,plain,
meet(X_187,complement(join(X_25,X_27))) = complement(join(complement(X_187),join(X_25,X_27))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(X_187)),bind(X_180,$fot(join(X_25,X_27)))]]) ).
cnf(refute_0_2037,plain,
join(X_25,join(complement(X_187),X_27)) = join(complement(X_187),join(X_25,X_27)),
inference(subst,[],[refute_0_460:[bind(X_26,$fot(complement(X_187)))]]) ).
cnf(refute_0_2038,plain,
( join(X_25,join(complement(X_187),X_27)) != join(complement(X_187),join(X_25,X_27))
| join(complement(X_187),join(X_25,X_27)) = join(X_25,join(complement(X_187),X_27)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(complement(X_187),X_27)))),bind(Y,$fot(join(complement(X_187),join(X_25,X_27))))]]) ).
cnf(refute_0_2039,plain,
join(complement(X_187),join(X_25,X_27)) = join(X_25,join(complement(X_187),X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(complement(X_187),X_27)),join(complement(X_187),join(X_25,X_27))) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
( join(complement(X_187),join(X_25,X_27)) != join(X_25,join(complement(X_187),X_27))
| meet(X_187,complement(join(X_25,X_27))) != complement(join(complement(X_187),join(X_25,X_27)))
| meet(X_187,complement(join(X_25,X_27))) = complement(join(X_25,join(complement(X_187),X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_187,complement(join(X_25,X_27))),complement(join(complement(X_187),join(X_25,X_27)))) ),[1,0],$fot(join(X_25,join(complement(X_187),X_27)))]]) ).
cnf(refute_0_2041,plain,
( meet(X_187,complement(join(X_25,X_27))) != complement(join(complement(X_187),join(X_25,X_27)))
| meet(X_187,complement(join(X_25,X_27))) = complement(join(X_25,join(complement(X_187),X_27))) ),
inference(resolve,[$cnf( $equal(join(complement(X_187),join(X_25,X_27)),join(X_25,join(complement(X_187),X_27))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
meet(X_187,complement(join(X_25,X_27))) = complement(join(X_25,join(complement(X_187),X_27))),
inference(resolve,[$cnf( $equal(meet(X_187,complement(join(X_25,X_27))),complement(join(complement(X_187),join(X_25,X_27)))) )],[refute_0_2036,refute_0_2041]) ).
cnf(refute_0_2043,plain,
( meet(X_187,complement(join(X_25,X_27))) != complement(join(X_25,join(complement(X_187),X_27)))
| complement(join(X_25,join(complement(X_187),X_27))) = meet(X_187,complement(join(X_25,X_27))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_187,complement(join(X_25,X_27))))),bind(Y,$fot(complement(join(X_25,join(complement(X_187),X_27)))))]]) ).
cnf(refute_0_2044,plain,
complement(join(X_25,join(complement(X_187),X_27))) = meet(X_187,complement(join(X_25,X_27))),
inference(resolve,[$cnf( $equal(meet(X_187,complement(join(X_25,X_27))),complement(join(X_25,join(complement(X_187),X_27)))) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),
inference(subst,[],[refute_0_2044:[bind(X_187,$fot(skolemFOFtoCNF_X0)),bind(X_25,$fot(meet(top,complement(one))))]]) ).
cnf(refute_0_2046,plain,
meet(join(one,complement(X_178)),complement(X_188)) = complement(join(complement(join(one,complement(X_178))),X_188)),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(join(one,complement(X_178)))),bind(X_180,$fot(X_188))]]) ).
cnf(refute_0_2047,plain,
( meet(X_178,complement(one)) != complement(join(one,complement(X_178)))
| complement(join(one,complement(X_178))) = meet(X_178,complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_178,complement(one)))),bind(Y,$fot(complement(join(one,complement(X_178)))))]]) ).
cnf(refute_0_2048,plain,
complement(join(one,complement(X_178))) = meet(X_178,complement(one)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(one)),complement(join(one,complement(X_178)))) )],[refute_0_876,refute_0_2047]) ).
cnf(refute_0_2049,plain,
( complement(join(one,complement(X_178))) != meet(X_178,complement(one))
| meet(join(one,complement(X_178)),complement(X_188)) != complement(join(complement(join(one,complement(X_178))),X_188))
| meet(join(one,complement(X_178)),complement(X_188)) = complement(join(meet(X_178,complement(one)),X_188)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(X_178)),complement(X_188)),complement(join(complement(join(one,complement(X_178))),X_188))) ),[1,0,0],$fot(meet(X_178,complement(one)))]]) ).
cnf(refute_0_2050,plain,
( meet(join(one,complement(X_178)),complement(X_188)) != complement(join(complement(join(one,complement(X_178))),X_188))
| meet(join(one,complement(X_178)),complement(X_188)) = complement(join(meet(X_178,complement(one)),X_188)) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_178))),meet(X_178,complement(one))) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
meet(join(one,complement(X_178)),complement(X_188)) = complement(join(meet(X_178,complement(one)),X_188)),
inference(resolve,[$cnf( $equal(meet(join(one,complement(X_178)),complement(X_188)),complement(join(complement(join(one,complement(X_178))),X_188))) )],[refute_0_2046,refute_0_2050]) ).
cnf(refute_0_2052,plain,
meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) = complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27))),
inference(subst,[],[refute_0_2051:[bind(X_178,$fot(top)),bind(X_188,$fot(join(complement(skolemFOFtoCNF_X0),X_27)))]]) ).
cnf(refute_0_2053,plain,
( complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27))) != meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) != complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))))),bind(Y,$fot(complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))))]]) ).
cnf(refute_0_2054,plain,
( complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27))) != meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))),complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27)))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,complement(one)),join(complement(skolemFOFtoCNF_X0),X_27))),meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))) )],[refute_0_2045,refute_0_2054]) ).
cnf(refute_0_2056,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(join(one,complement(top)))),bind(X_15,$fot(complement(join(complement(skolemFOFtoCNF_X0),X_27))))]]) ).
cnf(refute_0_2057,plain,
( meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) != meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))))]]) ).
cnf(refute_0_2058,plain,
( meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))) != meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))),meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27)))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X_27))),meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))) )],[refute_0_2055,refute_0_2058]) ).
cnf(refute_0_2060,plain,
( meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) != meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))
| meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) != meet(skolemFOFtoCNF_X0,meet(one,complement(X_27)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(X_27)))))]]) ).
cnf(refute_0_2061,plain,
( meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))) != meet(skolemFOFtoCNF_X0,meet(one,complement(X_27)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))),meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27)))) )],[refute_0_2059,refute_0_2060]) ).
cnf(refute_0_2062,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(join(meet(top,complement(one)),X_27))),meet(skolemFOFtoCNF_X0,meet(one,complement(X_27)))) )],[refute_0_2035,refute_0_2061]) ).
cnf(refute_0_2063,plain,
( meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))) != meet(skolemFOFtoCNF_X0,meet(one,complement(X_27)))
| meet(skolemFOFtoCNF_X0,complement(X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X_27)) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(X_27)),meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))) ),[1],$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))))]]) ).
cnf(refute_0_2064,plain,
( meet(skolemFOFtoCNF_X0,complement(X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X_27)) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top))),meet(skolemFOFtoCNF_X0,meet(one,complement(X_27)))) )],[refute_0_2062,refute_0_2063]) ).
cnf(refute_0_2065,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X_27)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X_27)) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(X_27)),meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))) )],[refute_0_2018,refute_0_2064]) ).
cnf(refute_0_2066,plain,
meet(skolemFOFtoCNF_X0,complement(X_27)) = meet(skolemFOFtoCNF_X0,meet(one,complement(X_27))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X_27)),meet(complement(join(complement(skolemFOFtoCNF_X0),X_27)),join(one,complement(top)))) )],[refute_0_2013,refute_0_2065]) ).
cnf(refute_0_2067,plain,
meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2066:[bind(X_27,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2068,plain,
converse(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_43:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2069,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(one)),bind(X_180,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2070,plain,
complement(X_83) = join(meet(complement(X_83),X_99),complement(join(X_99,complement(complement(X_83))))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(complement(X_83))),bind(X_84,$fot(X_99))]]) ).
cnf(refute_0_2071,plain,
( complement(X_83) != join(meet(complement(X_83),X_99),complement(join(X_99,complement(complement(X_83)))))
| complement(complement(X_83)) != X_83
| complement(X_83) = join(meet(complement(X_83),X_99),complement(join(X_99,X_83))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_83),join(meet(complement(X_83),X_99),complement(join(X_99,complement(complement(X_83)))))) ),[1,1,0,1],$fot(X_83)]]) ).
cnf(refute_0_2072,plain,
( complement(X_83) != join(meet(complement(X_83),X_99),complement(join(X_99,complement(complement(X_83)))))
| complement(X_83) = join(meet(complement(X_83),X_99),complement(join(X_99,X_83))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_2071]) ).
cnf(refute_0_2073,plain,
complement(X_83) = join(meet(complement(X_83),X_99),complement(join(X_99,X_83))),
inference(resolve,[$cnf( $equal(complement(X_83),join(meet(complement(X_83),X_99),complement(join(X_99,complement(complement(X_83)))))) )],[refute_0_2070,refute_0_2072]) ).
cnf(refute_0_2074,plain,
join(meet(complement(X_83),X_99),complement(join(X_99,X_83))) = join(complement(join(X_99,X_83)),meet(complement(X_83),X_99)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(join(X_99,X_83)))),bind(X1,$fot(meet(complement(X_83),X_99)))]]) ).
cnf(refute_0_2075,plain,
( complement(X_83) != join(meet(complement(X_83),X_99),complement(join(X_99,X_83)))
| join(meet(complement(X_83),X_99),complement(join(X_99,X_83))) != join(complement(join(X_99,X_83)),meet(complement(X_83),X_99))
| complement(X_83) = join(complement(join(X_99,X_83)),meet(complement(X_83),X_99)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_83),join(complement(join(X_99,X_83)),meet(complement(X_83),X_99))) ),[0],$fot(join(meet(complement(X_83),X_99),complement(join(X_99,X_83))))]]) ).
cnf(refute_0_2076,plain,
( complement(X_83) != join(meet(complement(X_83),X_99),complement(join(X_99,X_83)))
| complement(X_83) = join(complement(join(X_99,X_83)),meet(complement(X_83),X_99)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_83),X_99),complement(join(X_99,X_83))),join(complement(join(X_99,X_83)),meet(complement(X_83),X_99))) )],[refute_0_2074,refute_0_2075]) ).
cnf(refute_0_2077,plain,
complement(X_83) = join(complement(join(X_99,X_83)),meet(complement(X_83),X_99)),
inference(resolve,[$cnf( $equal(complement(X_83),join(meet(complement(X_83),X_99),complement(join(X_99,X_83)))) )],[refute_0_2073,refute_0_2076]) ).
cnf(refute_0_2078,plain,
complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_99,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2079,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2080,plain,
one = join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_83,$fot(one))]]) ).
cnf(refute_0_2081,plain,
converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_302:[bind(X_83,$fot(converse(skolemFOFtoCNF_X0))),bind(X_84,$fot(one))]]) ).
cnf(refute_0_2082,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2083,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_906,refute_0_2082]) ).
cnf(refute_0_2084,plain,
converse(skolemFOFtoCNF_X0) = join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),one),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2081,refute_0_2083]) ).
cnf(refute_0_2085,plain,
join(zero,meet(one,converse(skolemFOFtoCNF_X0))) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2086,plain,
meet(converse(skolemFOFtoCNF_X0),one) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2087,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_2088,plain,
( join(zero,meet(converse(skolemFOFtoCNF_X0),one)) != join(zero,meet(converse(skolemFOFtoCNF_X0),one))
| meet(converse(skolemFOFtoCNF_X0),one) != meet(one,converse(skolemFOFtoCNF_X0))
| join(zero,meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0),one)),join(zero,meet(converse(skolemFOFtoCNF_X0),one))) ),[1,1],$fot(meet(one,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2089,plain,
( meet(converse(skolemFOFtoCNF_X0),one) != meet(one,converse(skolemFOFtoCNF_X0))
| join(zero,meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0),one)),join(zero,meet(converse(skolemFOFtoCNF_X0),one))) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
join(zero,meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),one),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_2086,refute_0_2089]) ).
cnf(refute_0_2091,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_2092,plain,
( complement(top) != zero
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) != join(complement(top),meet(converse(skolemFOFtoCNF_X0),one))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),join(complement(top),meet(converse(skolemFOFtoCNF_X0),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2093,plain,
( complement(top) != zero
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),join(complement(top),meet(converse(skolemFOFtoCNF_X0),one))) )],[refute_0_2091,refute_0_2092]) ).
cnf(refute_0_2094,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(converse(skolemFOFtoCNF_X0),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_2093]) ).
cnf(refute_0_2095,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) != join(zero,meet(converse(skolemFOFtoCNF_X0),one))
| join(zero,meet(converse(skolemFOFtoCNF_X0),one)) != join(zero,meet(one,converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)))),bind(Y,$fot(join(zero,meet(converse(skolemFOFtoCNF_X0),one)))),bind(Z,$fot(join(zero,meet(one,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2096,plain,
( join(zero,meet(converse(skolemFOFtoCNF_X0),one)) != join(zero,meet(one,converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),join(zero,meet(converse(skolemFOFtoCNF_X0),one))) )],[refute_0_2094,refute_0_2095]) ).
cnf(refute_0_2097,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = join(zero,meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(skolemFOFtoCNF_X0),one)),join(zero,meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2090,refute_0_2096]) ).
cnf(refute_0_2098,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) != join(zero,meet(one,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(one,converse(skolemFOFtoCNF_X0))) != meet(one,converse(skolemFOFtoCNF_X0))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)))),bind(Y,$fot(join(zero,meet(one,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2099,plain,
( join(zero,meet(one,converse(skolemFOFtoCNF_X0))) != meet(one,converse(skolemFOFtoCNF_X0))
| join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),join(zero,meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(one,converse(skolemFOFtoCNF_X0))),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_2085,refute_0_2099]) ).
cnf(refute_0_2101,plain,
join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) = join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(converse(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_2102,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) != meet(one,converse(skolemFOFtoCNF_X0))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) != join(complement(top),meet(converse(skolemFOFtoCNF_X0),one))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)))),bind(Y,$fot(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)))),bind(Z,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2103,plain,
( join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)) != meet(one,converse(skolemFOFtoCNF_X0))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)),join(complement(top),meet(converse(skolemFOFtoCNF_X0),one))) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(converse(skolemFOFtoCNF_X0),one)),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_2100,refute_0_2103]) ).
cnf(refute_0_2105,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(top))
| join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)) != meet(one,converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),meet(one,converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)))]]) ).
cnf(refute_0_2106,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(converse(skolemFOFtoCNF_X0),one),complement(top))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(skolemFOFtoCNF_X0),one),complement(top)),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(converse(skolemFOFtoCNF_X0),one),complement(top))) )],[refute_0_2084,refute_0_2106]) ).
cnf(refute_0_2108,plain,
( converse(skolemFOFtoCNF_X0) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2109,plain,
meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_2107,refute_0_2108]) ).
cnf(refute_0_2110,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| one != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2111,plain,
( one != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_2109,refute_0_2110]) ).
cnf(refute_0_2112,plain,
one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2080,refute_0_2111]) ).
cnf(refute_0_2113,plain,
( one != join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2114,plain,
join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2116,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2079,refute_0_2116]) ).
cnf(refute_0_2118,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2119,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2120,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2121,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2118,refute_0_2121]) ).
cnf(refute_0_2123,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(one)) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2124,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_2126,plain,
( join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_2125]) ).
cnf(refute_0_2127,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(one)) )],[refute_0_2124,refute_0_2126]) ).
cnf(refute_0_2128,plain,
join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(one)) )],[refute_0_2117,refute_0_2127]) ).
cnf(refute_0_2129,plain,
( complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_2130,plain,
( complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_2128,refute_0_2129]) ).
cnf(refute_0_2131,plain,
complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) )],[refute_0_2078,refute_0_2130]) ).
cnf(refute_0_2132,plain,
meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(skolemFOFtoCNF_X0)),bind(X_15,$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2133,plain,
join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2134,plain,
( join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2135,plain,
( meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) )],[refute_0_2133,refute_0_2134]) ).
cnf(refute_0_2136,plain,
join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2132,refute_0_2135]) ).
cnf(refute_0_2137,plain,
( complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2138,plain,
( complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_2136,refute_0_2137]) ).
cnf(refute_0_2139,plain,
complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) )],[refute_0_2131,refute_0_2138]) ).
cnf(refute_0_2140,plain,
( complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_2141,plain,
join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_2139,refute_0_2140]) ).
cnf(refute_0_2142,plain,
( join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2143,plain,
( meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_2069,refute_0_2143]) ).
cnf(refute_0_2145,plain,
complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_99,$fot(complement(one)))]]) ).
cnf(refute_0_2146,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) ),[1,0,0],$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2147,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2141,refute_0_2146]) ).
cnf(refute_0_2148,plain,
complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) )],[refute_0_2145,refute_0_2147]) ).
cnf(refute_0_2149,plain,
complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_979:[bind(X_187,$fot(skolemFOFtoCNF_X0)),bind(X_188,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2150,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2151,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2149,refute_0_2150]) ).
cnf(refute_0_2152,plain,
join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(X_26,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(complement(one))),bind(X_27,$fot(meet(converse(complement(one)),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_2153,plain,
converse(complement(one)) = join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(join(complement(converse(complement(one))),meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(converse(complement(one)))),bind(X_84,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_2154,plain,
one = join(meet(one,complement(converse(complement(one)))),meet(one,complement(complement(converse(complement(one)))))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(complement(converse(complement(one))))),bind(X_83,$fot(one))]]) ).
cnf(refute_0_2155,plain,
( meet(one,complement(converse(complement(one)))) != complement(converse(complement(one)))
| one != join(meet(one,complement(converse(complement(one)))),meet(one,complement(complement(converse(complement(one))))))
| one = join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(complement(one)))),meet(one,complement(complement(converse(complement(one))))))) ),[1,0],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_2156,plain,
( one != join(meet(one,complement(converse(complement(one)))),meet(one,complement(complement(converse(complement(one))))))
| one = join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(one)))),complement(converse(complement(one)))) )],[refute_0_1463,refute_0_2155]) ).
cnf(refute_0_2157,plain,
one = join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(complement(one)))),meet(one,complement(complement(converse(complement(one))))))) )],[refute_0_2154,refute_0_2156]) ).
cnf(refute_0_2158,plain,
complement(complement(converse(complement(one)))) = converse(complement(one)),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(complement(one))))]]) ).
cnf(refute_0_2159,plain,
meet(one,complement(complement(converse(complement(one))))) = meet(one,complement(complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(complement(one))))))]]) ).
cnf(refute_0_2160,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(one,complement(complement(converse(complement(one))))) != meet(one,complement(complement(converse(complement(one)))))
| meet(one,complement(complement(converse(complement(one))))) = meet(one,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(complement(one))))),meet(one,complement(complement(converse(complement(one)))))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_2161,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(one,complement(complement(converse(complement(one))))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(one))))),meet(one,complement(complement(converse(complement(one)))))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
meet(one,complement(complement(converse(complement(one))))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_2158,refute_0_2161]) ).
cnf(refute_0_2163,plain,
join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) = join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_2164,plain,
( join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) != join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))
| meet(one,complement(complement(converse(complement(one))))) != meet(one,converse(complement(one)))
| join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))),join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_2165,plain,
( meet(one,complement(complement(converse(complement(one))))) != meet(one,converse(complement(one)))
| join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))),join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))) )],[refute_0_2163,refute_0_2164]) ).
cnf(refute_0_2166,plain,
join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) = join(complement(converse(complement(one))),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(one))))),meet(one,converse(complement(one)))) )],[refute_0_2162,refute_0_2165]) ).
cnf(refute_0_2167,plain,
( join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))) != join(complement(converse(complement(one))),meet(one,converse(complement(one))))
| one != join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))
| one = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))) ),[1],$fot(join(complement(converse(complement(one))),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_2168,plain,
( one != join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))
| one = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one)))))),join(complement(converse(complement(one))),meet(one,converse(complement(one))))) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
one = join(complement(converse(complement(one))),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(one,complement(complement(converse(complement(one))))))) )],[refute_0_2157,refute_0_2168]) ).
cnf(refute_0_2170,plain,
( one != join(complement(converse(complement(one))),meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),meet(one,converse(complement(one)))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(one))),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_2171,plain,
join(complement(converse(complement(one))),meet(one,converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(one,converse(complement(one))))) )],[refute_0_2169,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( converse(complement(one)) != join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))))
| join(complement(converse(complement(one))),meet(one,converse(complement(one)))) != one
| converse(complement(one)) = join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_2173,plain,
( converse(complement(one)) != join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))))
| converse(complement(one)) = join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,converse(complement(one)))),one) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
converse(complement(one)) = join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))))) )],[refute_0_2153,refute_0_2173]) ).
cnf(refute_0_2175,plain,
meet(meet(one,converse(complement(one))),converse(complement(one))) = meet(converse(complement(one)),meet(one,converse(complement(one)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(converse(complement(one)))),bind(X_15,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_2176,plain,
join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) = join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))))]]) ).
cnf(refute_0_2177,plain,
( join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) != join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one))))
| meet(meet(one,converse(complement(one))),converse(complement(one))) != meet(converse(complement(one)),meet(one,converse(complement(one))))
| join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))),join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one))))) ),[1,1],$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_2178,plain,
( meet(meet(one,converse(complement(one))),converse(complement(one))) != meet(converse(complement(one)),meet(one,converse(complement(one))))
| join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))),join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one))))) )],[refute_0_2176,refute_0_2177]) ).
cnf(refute_0_2179,plain,
join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(meet(one,converse(complement(one))),converse(complement(one))),meet(converse(complement(one)),meet(one,converse(complement(one))))) )],[refute_0_2175,refute_0_2178]) ).
cnf(refute_0_2180,plain,
join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) = join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(meet(one,converse(complement(one))),converse(complement(one)))))]]) ).
cnf(refute_0_2181,plain,
( join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) != join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))
| join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) != join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one))))
| join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)))),bind(Y,$fot(join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))))),bind(Z,$fot(join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_2182,plain,
( join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))) != join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))
| join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)),join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one))))) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,converse(complement(one))),converse(complement(one)))),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_2179,refute_0_2182]) ).
cnf(refute_0_2184,plain,
( converse(complement(one)) != join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one))
| join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)) != join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) ),[0],$fot(join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)))]]) ).
cnf(refute_0_2185,plain,
( converse(complement(one)) != join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(meet(one,converse(complement(one))),converse(complement(one))),complement(one))) )],[refute_0_2174,refute_0_2185]) ).
cnf(refute_0_2187,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))
| join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) = converse(complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_2188,plain,
join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_2186,refute_0_2187]) ).
cnf(refute_0_2189,plain,
( join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(X_26,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))
| join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) != converse(complement(one))
| join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(X_26,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(X_26,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_2190,plain,
( join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(X_26,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))
| join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(X_26,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),converse(complement(one))) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(X_26,converse(complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(X_26,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))) )],[refute_0_2152,refute_0_2190]) ).
cnf(refute_0_2192,plain,
meet(complement(one),zero) = zero,
inference(subst,[],[refute_0_1257:[bind(X_14,$fot(complement(one)))]]) ).
cnf(refute_0_2193,plain,
meet(one,complement(one)) = zero,
inference(subst,[],[refute_0_103:[bind(X0,$fot(one))]]) ).
cnf(refute_0_2194,plain,
meet(one,converse(complement(one))) = meet(one,converse(complement(one))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_2195,plain,
( converse(complement(one)) != complement(one)
| meet(one,converse(complement(one))) != meet(one,converse(complement(one)))
| meet(one,converse(complement(one))) = meet(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(one))),meet(one,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2196,plain,
( converse(complement(one)) != complement(one)
| meet(one,converse(complement(one))) = meet(one,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
meet(one,converse(complement(one))) = meet(one,complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1548,refute_0_2196]) ).
cnf(refute_0_2198,plain,
( meet(one,complement(one)) != zero
| meet(one,converse(complement(one))) != meet(one,complement(one))
| meet(one,converse(complement(one))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(one,converse(complement(one))))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2199,plain,
( meet(one,complement(one)) != zero
| meet(one,converse(complement(one))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),meet(one,complement(one))) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
meet(one,converse(complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_2193,refute_0_2199]) ).
cnf(refute_0_2201,plain,
meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_2202,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),meet(one,converse(complement(one))))
| meet(one,converse(complement(one))) != zero
| meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),meet(one,converse(complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2203,plain,
( meet(one,converse(complement(one))) != zero
| meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_2201,refute_0_2202]) ).
cnf(refute_0_2204,plain,
meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),zero) )],[refute_0_2200,refute_0_2203]) ).
cnf(refute_0_2205,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(converse(complement(one)),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_2206,plain,
( converse(complement(one)) != complement(one)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != meet(converse(complement(one)),meet(one,converse(complement(one))))
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2207,plain,
( converse(complement(one)) != complement(one)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(converse(complement(one)),meet(one,converse(complement(one))))) )],[refute_0_2205,refute_0_2206]) ).
cnf(refute_0_2208,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1548,refute_0_2207]) ).
cnf(refute_0_2209,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != meet(complement(one),meet(one,converse(complement(one))))
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))),bind(Y,$fot(meet(complement(one),meet(one,converse(complement(one)))))),bind(Z,$fot(meet(complement(one),zero)))]]) ).
cnf(refute_0_2210,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),zero)) )],[refute_0_2204,refute_0_2210]) ).
cnf(refute_0_2212,plain,
( meet(complement(one),zero) != zero
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))),bind(Y,$fot(meet(complement(one),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2213,plain,
( meet(complement(one),zero) != zero
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(complement(one),zero)) )],[refute_0_2211,refute_0_2212]) ).
cnf(refute_0_2214,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),zero),zero) )],[refute_0_2192,refute_0_2213]) ).
cnf(refute_0_2215,plain,
join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_2216,plain,
( join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) != join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != zero
| join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_26,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2217,plain,
( meet(converse(complement(one)),meet(one,converse(complement(one)))) != zero
| join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_26,zero) ),
inference(resolve,[$cnf( $equal(join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_2215,refute_0_2216]) ).
cnf(refute_0_2218,plain,
join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_26,zero),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),zero) )],[refute_0_2214,refute_0_2217]) ).
cnf(refute_0_2219,plain,
( join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) != join(X_26,zero)
| join(X_26,zero) != X_26
| join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = X_26 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))))),bind(Y,$fot(join(X_26,zero))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_2220,plain,
( join(X_26,zero) != X_26
| join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = X_26 ),
inference(resolve,[$cnf( $equal(join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))),join(X_26,zero)) )],[refute_0_2218,refute_0_2219]) ).
cnf(refute_0_2221,plain,
join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) = X_26,
inference(resolve,[$cnf( $equal(join(X_26,zero),X_26) )],[refute_0_1144,refute_0_2220]) ).
cnf(refute_0_2222,plain,
join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_2223,plain,
( join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) != X_26
| join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))))
| join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_2224,plain,
( join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))) != X_26
| join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),X_26) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))))) )],[refute_0_2222,refute_0_2223]) ).
cnf(refute_0_2225,plain,
join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),X_26),
inference(resolve,[$cnf( $equal(join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one))))),X_26) )],[refute_0_2221,refute_0_2224]) ).
cnf(refute_0_2226,plain,
( join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(X_26,converse(complement(one)))
| join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(complement(one),X_26)
| join(complement(one),X_26) = join(X_26,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(X_26,converse(complement(one)))) ),[0],$fot(join(complement(one),X_26))]]) ).
cnf(refute_0_2227,plain,
( join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(X_26,converse(complement(one)))
| join(complement(one),X_26) = join(X_26,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(complement(one),X_26)) )],[refute_0_2225,refute_0_2226]) ).
cnf(refute_0_2228,plain,
join(X_26,converse(complement(one))) = join(X_26,converse(complement(one))),
introduced(tautology,[refl,[$fot(join(X_26,converse(complement(one))))]]) ).
cnf(refute_0_2229,plain,
( converse(complement(one)) != complement(one)
| join(X_26,converse(complement(one))) != join(X_26,converse(complement(one)))
| join(X_26,converse(complement(one))) = join(X_26,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,converse(complement(one))),join(X_26,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2230,plain,
( converse(complement(one)) != complement(one)
| join(X_26,converse(complement(one))) = join(X_26,complement(one)) ),
inference(resolve,[$cnf( $equal(join(X_26,converse(complement(one))),join(X_26,converse(complement(one)))) )],[refute_0_2228,refute_0_2229]) ).
cnf(refute_0_2231,plain,
join(X_26,converse(complement(one))) = join(X_26,complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1548,refute_0_2230]) ).
cnf(refute_0_2232,plain,
( join(X_26,converse(complement(one))) != join(X_26,complement(one))
| join(complement(one),X_26) != join(X_26,converse(complement(one)))
| join(complement(one),X_26) = join(X_26,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),X_26),join(X_26,converse(complement(one)))) ),[1],$fot(join(X_26,complement(one)))]]) ).
cnf(refute_0_2233,plain,
( join(complement(one),X_26) != join(X_26,converse(complement(one)))
| join(complement(one),X_26) = join(X_26,complement(one)) ),
inference(resolve,[$cnf( $equal(join(X_26,converse(complement(one))),join(X_26,complement(one))) )],[refute_0_2231,refute_0_2232]) ).
cnf(refute_0_2234,plain,
( join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(X_26,converse(complement(one)))
| join(complement(one),X_26) = join(X_26,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),X_26),join(X_26,converse(complement(one)))) )],[refute_0_2227,refute_0_2233]) ).
cnf(refute_0_2235,plain,
join(complement(one),X_26) = join(X_26,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_26,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(X_26,converse(complement(one)))) )],[refute_0_2191,refute_0_2234]) ).
cnf(refute_0_2236,plain,
( join(complement(one),X_26) != join(X_26,complement(one))
| join(X_26,complement(one)) = join(complement(one),X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(one),X_26))),bind(Y,$fot(join(X_26,complement(one))))]]) ).
cnf(refute_0_2237,plain,
join(X_26,complement(one)) = join(complement(one),X_26),
inference(resolve,[$cnf( $equal(join(complement(one),X_26),join(X_26,complement(one))) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2237:[bind(X_26,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2239,plain,
join(one,join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))) = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(meet(complement(X_286),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2240,plain,
join(X_123,join(X_125,X_125)) = join(X_125,join(X_123,X_125)),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(X_123)),bind(X_26,$fot(X_125)),bind(X_27,$fot(X_125))]]) ).
cnf(refute_0_2241,plain,
join(X_125,X_125) = X_125,
inference(subst,[],[refute_0_848:[bind(X_108,$fot(X_125))]]) ).
cnf(refute_0_2242,plain,
( join(X_123,join(X_125,X_125)) != join(X_125,join(X_123,X_125))
| join(X_125,X_125) != X_125
| join(X_123,X_125) = join(X_125,join(X_123,X_125)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_123,join(X_125,X_125)),join(X_125,join(X_123,X_125))) ),[0,1],$fot(X_125)]]) ).
cnf(refute_0_2243,plain,
( join(X_123,join(X_125,X_125)) != join(X_125,join(X_123,X_125))
| join(X_123,X_125) = join(X_125,join(X_123,X_125)) ),
inference(resolve,[$cnf( $equal(join(X_125,X_125),X_125) )],[refute_0_2241,refute_0_2242]) ).
cnf(refute_0_2244,plain,
join(X_123,X_125) = join(X_125,join(X_123,X_125)),
inference(resolve,[$cnf( $equal(join(X_123,join(X_125,X_125)),join(X_125,join(X_123,X_125))) )],[refute_0_2240,refute_0_2243]) ).
cnf(refute_0_2245,plain,
join(meet(X_97,X_96),meet(complement(X_96),X_97)) = join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))),
inference(subst,[],[refute_0_2244:[bind(X_123,$fot(meet(X_97,X_96))),bind(X_125,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_2246,plain,
( join(meet(X_97,X_96),meet(complement(X_96),X_97)) != X_97
| join(meet(X_97,X_96),meet(complement(X_96),X_97)) != join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))
| X_97 = join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))) ),[0],$fot(X_97)]]) ).
cnf(refute_0_2247,plain,
( join(meet(X_97,X_96),meet(complement(X_96),X_97)) != join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))
| X_97 = join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),X_97) )],[refute_0_1905,refute_0_2246]) ).
cnf(refute_0_2248,plain,
X_97 = join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))) )],[refute_0_2245,refute_0_2247]) ).
cnf(refute_0_2249,plain,
join(meet(complement(X_96),X_97),X_97) = join(X_97,meet(complement(X_96),X_97)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_97)),bind(X1,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_2250,plain,
join(X_123,join(meet(X_97,X_96),meet(complement(X_96),X_97))) = join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(X_123)),bind(X_26,$fot(meet(X_97,X_96))),bind(X_27,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_2251,plain,
( join(X_123,join(meet(X_97,X_96),meet(complement(X_96),X_97))) != join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))
| join(meet(X_97,X_96),meet(complement(X_96),X_97)) != X_97
| join(X_123,X_97) = join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_123,join(meet(X_97,X_96),meet(complement(X_96),X_97))),join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))) ),[0,1],$fot(X_97)]]) ).
cnf(refute_0_2252,plain,
( join(X_123,join(meet(X_97,X_96),meet(complement(X_96),X_97))) != join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))
| join(X_123,X_97) = join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97))) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),X_97) )],[refute_0_1905,refute_0_2251]) ).
cnf(refute_0_2253,plain,
join(X_123,X_97) = join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97))),
inference(resolve,[$cnf( $equal(join(X_123,join(meet(X_97,X_96),meet(complement(X_96),X_97))),join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))) )],[refute_0_2250,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( join(X_123,X_97) != join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))
| join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97))) = join(X_123,X_97) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_123,X_97))),bind(Y,$fot(join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))))]]) ).
cnf(refute_0_2255,plain,
join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97))) = join(X_123,X_97),
inference(resolve,[$cnf( $equal(join(X_123,X_97),join(meet(X_97,X_96),join(X_123,meet(complement(X_96),X_97)))) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) = join(meet(complement(X_96),X_97),X_97),
inference(subst,[],[refute_0_2255:[bind(X_123,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_2257,plain,
( join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) != join(meet(complement(X_96),X_97),X_97)
| join(meet(complement(X_96),X_97),X_97) != join(X_97,meet(complement(X_96),X_97))
| join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) = join(X_97,meet(complement(X_96),X_97)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))))),bind(Y,$fot(join(meet(complement(X_96),X_97),X_97))),bind(Z,$fot(join(X_97,meet(complement(X_96),X_97))))]]) ).
cnf(refute_0_2258,plain,
( join(meet(complement(X_96),X_97),X_97) != join(X_97,meet(complement(X_96),X_97))
| join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) = join(X_97,meet(complement(X_96),X_97)) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))),join(meet(complement(X_96),X_97),X_97)) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) = join(X_97,meet(complement(X_96),X_97)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_96),X_97),X_97),join(X_97,meet(complement(X_96),X_97))) )],[refute_0_2249,refute_0_2258]) ).
cnf(refute_0_2260,plain,
join(X_123,join(X_124,X_125)) = join(X_124,join(X_123,X_125)),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(X_123)),bind(X_26,$fot(X_124)),bind(X_27,$fot(X_125))]]) ).
cnf(refute_0_2261,plain,
join(X_125,X_124) = join(X_124,X_125),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_125)),bind(X1,$fot(X_124))]]) ).
cnf(refute_0_2262,plain,
( join(X_125,X_124) != join(X_124,X_125)
| join(X_124,X_125) = join(X_125,X_124) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_125,X_124))),bind(Y,$fot(join(X_124,X_125)))]]) ).
cnf(refute_0_2263,plain,
join(X_124,X_125) = join(X_125,X_124),
inference(resolve,[$cnf( $equal(join(X_125,X_124),join(X_124,X_125)) )],[refute_0_2261,refute_0_2262]) ).
cnf(refute_0_2264,plain,
( join(X_123,join(X_124,X_125)) != join(X_124,join(X_123,X_125))
| join(X_124,X_125) != join(X_125,X_124)
| join(X_123,join(X_125,X_124)) = join(X_124,join(X_123,X_125)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_123,join(X_124,X_125)),join(X_124,join(X_123,X_125))) ),[0,1],$fot(join(X_125,X_124))]]) ).
cnf(refute_0_2265,plain,
( join(X_123,join(X_124,X_125)) != join(X_124,join(X_123,X_125))
| join(X_123,join(X_125,X_124)) = join(X_124,join(X_123,X_125)) ),
inference(resolve,[$cnf( $equal(join(X_124,X_125),join(X_125,X_124)) )],[refute_0_2263,refute_0_2264]) ).
cnf(refute_0_2266,plain,
join(X_123,join(X_125,X_124)) = join(X_124,join(X_123,X_125)),
inference(resolve,[$cnf( $equal(join(X_123,join(X_124,X_125)),join(X_124,join(X_123,X_125))) )],[refute_0_2260,refute_0_2265]) ).
cnf(refute_0_2267,plain,
( join(X_123,join(X_125,X_124)) != join(X_124,join(X_123,X_125))
| join(X_124,join(X_123,X_125)) = join(X_123,join(X_125,X_124)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_123,join(X_125,X_124)))),bind(Y,$fot(join(X_124,join(X_123,X_125))))]]) ).
cnf(refute_0_2268,plain,
join(X_124,join(X_123,X_125)) = join(X_123,join(X_125,X_124)),
inference(resolve,[$cnf( $equal(join(X_123,join(X_125,X_124)),join(X_124,join(X_123,X_125))) )],[refute_0_2266,refute_0_2267]) ).
cnf(refute_0_2269,plain,
join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) = join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))),
inference(subst,[],[refute_0_2268:[bind(X_123,$fot(meet(X_97,X_96))),bind(X_124,$fot(meet(complement(X_96),X_97))),bind(X_125,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_2270,plain,
( join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) != join(X_97,meet(complement(X_96),X_97))
| join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) != join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97)))
| join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) = join(X_97,meet(complement(X_96),X_97)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))))),bind(Y,$fot(join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))))),bind(Z,$fot(join(X_97,meet(complement(X_96),X_97))))]]) ).
cnf(refute_0_2271,plain,
( join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))) != join(X_97,meet(complement(X_96),X_97))
| join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) = join(X_97,meet(complement(X_96),X_97)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))),join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97)))) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) = join(X_97,meet(complement(X_96),X_97)),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),join(meet(complement(X_96),X_97),meet(complement(X_96),X_97))),join(X_97,meet(complement(X_96),X_97))) )],[refute_0_2259,refute_0_2271]) ).
cnf(refute_0_2273,plain,
( X_97 != join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))
| join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))) != join(X_97,meet(complement(X_96),X_97))
| X_97 = join(X_97,meet(complement(X_96),X_97)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(X_97,meet(complement(X_96),X_97))) ),[0],$fot(join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))))]]) ).
cnf(refute_0_2274,plain,
( X_97 != join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))
| X_97 = join(X_97,meet(complement(X_96),X_97)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97))),join(X_97,meet(complement(X_96),X_97))) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
X_97 = join(X_97,meet(complement(X_96),X_97)),
inference(resolve,[$cnf( $equal(X_97,join(meet(complement(X_96),X_97),join(meet(X_97,X_96),meet(complement(X_96),X_97)))) )],[refute_0_2248,refute_0_2274]) ).
cnf(refute_0_2276,plain,
skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2275:[bind(X_96,$fot(X_286)),bind(X_97,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2277,plain,
( skolemFOFtoCNF_X0 != join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2278,plain,
join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))) )],[refute_0_2276,refute_0_2277]) ).
cnf(refute_0_2279,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))) != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(one,skolemFOFtoCNF_X0) = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))),join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_2280,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))) != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| join(one,skolemFOFtoCNF_X0) = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2278,refute_0_2279]) ).
cnf(refute_0_2281,plain,
join(one,skolemFOFtoCNF_X0) = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(X_286),skolemFOFtoCNF_X0))),join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) )],[refute_0_2239,refute_0_2280]) ).
cnf(refute_0_2282,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| join(one,skolemFOFtoCNF_X0) != one
| one = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) ),[0],$fot(one)]]) ).
cnf(refute_0_2283,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| one = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_324,refute_0_2282]) ).
cnf(refute_0_2284,plain,
meet(complement(X_286),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,complement(X_286)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(skolemFOFtoCNF_X0)),bind(X_15,$fot(complement(X_286)))]]) ).
cnf(refute_0_2285,plain,
join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) = join(one,meet(complement(X_286),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,meet(complement(X_286),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2286,plain,
( join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| meet(complement(X_286),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(X_286))
| join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(X_286),skolemFOFtoCNF_X0)),join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,complement(X_286)))]]) ).
cnf(refute_0_2287,plain,
( meet(complement(X_286),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(X_286))
| join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(X_286),skolemFOFtoCNF_X0)),join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) )],[refute_0_2285,refute_0_2286]) ).
cnf(refute_0_2288,plain,
join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))),
inference(resolve,[$cnf( $equal(meet(complement(X_286),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(X_286))) )],[refute_0_2284,refute_0_2287]) ).
cnf(refute_0_2289,plain,
( join(one,meet(complement(X_286),skolemFOFtoCNF_X0)) != join(one,meet(skolemFOFtoCNF_X0,complement(X_286)))
| one != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) ),[1],$fot(join(one,meet(skolemFOFtoCNF_X0,complement(X_286))))]]) ).
cnf(refute_0_2290,plain,
( one != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(X_286),skolemFOFtoCNF_X0)),join(one,meet(skolemFOFtoCNF_X0,complement(X_286)))) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,meet(complement(X_286),skolemFOFtoCNF_X0))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) ),
inference(resolve,[$cnf( $equal(one,join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) )],[refute_0_2283,refute_0_2290]) ).
cnf(refute_0_2292,plain,
one = join(one,meet(skolemFOFtoCNF_X0,complement(X_286))),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,meet(complement(X_286),skolemFOFtoCNF_X0))) )],[refute_0_2281,refute_0_2291]) ).
cnf(refute_0_2293,plain,
( one != join(one,meet(skolemFOFtoCNF_X0,complement(X_286)))
| join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(skolemFOFtoCNF_X0,complement(X_286)))))]]) ).
cnf(refute_0_2294,plain,
join(one,meet(skolemFOFtoCNF_X0,complement(X_286))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(X_286)))) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one,
inference(subst,[],[refute_0_2294:[bind(X_286,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2296,plain,
complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_2297,plain,
( complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != one
| complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2298,plain,
( join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != one
| complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_2296,refute_0_2297]) ).
cnf(refute_0_2299,plain,
complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_2295,refute_0_2298]) ).
cnf(refute_0_2300,plain,
complement(join(one,X2)) = join(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(converse(skolemFOFtoCNF_X0))),bind(X_121,$fot(complement(join(one,X2))))]]) ).
cnf(refute_0_2301,plain,
meet(complement(X_83),complement(one)) = complement(join(one,complement(complement(X_83)))),
inference(subst,[],[refute_0_876:[bind(X_178,$fot(complement(X_83)))]]) ).
cnf(refute_0_2302,plain,
( complement(complement(X_83)) != X_83
| meet(complement(X_83),complement(one)) != complement(join(one,complement(complement(X_83))))
| meet(complement(X_83),complement(one)) = complement(join(one,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_83),complement(one)),complement(join(one,complement(complement(X_83))))) ),[1,0,1],$fot(X_83)]]) ).
cnf(refute_0_2303,plain,
( meet(complement(X_83),complement(one)) != complement(join(one,complement(complement(X_83))))
| meet(complement(X_83),complement(one)) = complement(join(one,X_83)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_2302]) ).
cnf(refute_0_2304,plain,
meet(complement(X_83),complement(one)) = complement(join(one,X_83)),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(one)),complement(join(one,complement(complement(X_83))))) )],[refute_0_2301,refute_0_2303]) ).
cnf(refute_0_2305,plain,
meet(complement(X_83),complement(X_188)) = complement(join(complement(complement(X_83)),X_188)),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(complement(X_83))),bind(X_180,$fot(X_188))]]) ).
cnf(refute_0_2306,plain,
( complement(complement(X_83)) != X_83
| meet(complement(X_83),complement(X_188)) != complement(join(complement(complement(X_83)),X_188))
| meet(complement(X_83),complement(X_188)) = complement(join(X_83,X_188)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_83),complement(X_188)),complement(join(complement(complement(X_83)),X_188))) ),[1,0,0],$fot(X_83)]]) ).
cnf(refute_0_2307,plain,
( meet(complement(X_83),complement(X_188)) != complement(join(complement(complement(X_83)),X_188))
| meet(complement(X_83),complement(X_188)) = complement(join(X_83,X_188)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_2306]) ).
cnf(refute_0_2308,plain,
meet(complement(X_83),complement(X_188)) = complement(join(X_83,X_188)),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(X_188)),complement(join(complement(complement(X_83)),X_188))) )],[refute_0_2305,refute_0_2307]) ).
cnf(refute_0_2309,plain,
meet(complement(X_83),complement(one)) = complement(join(X_83,one)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(one))]]) ).
cnf(refute_0_2310,plain,
( meet(complement(X_83),complement(one)) != complement(join(X_83,one))
| meet(complement(X_83),complement(one)) != complement(join(one,X_83))
| complement(join(X_83,one)) = complement(join(one,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_83),complement(one)),complement(join(one,X_83))) ),[0],$fot(complement(join(X_83,one)))]]) ).
cnf(refute_0_2311,plain,
( meet(complement(X_83),complement(one)) != complement(join(one,X_83))
| complement(join(X_83,one)) = complement(join(one,X_83)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(one)),complement(join(X_83,one))) )],[refute_0_2309,refute_0_2310]) ).
cnf(refute_0_2312,plain,
complement(join(X_83,one)) = complement(join(one,X_83)),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(one)),complement(join(one,X_83))) )],[refute_0_2304,refute_0_2311]) ).
cnf(refute_0_2313,plain,
complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(subst,[],[refute_0_2312:[bind(X_83,$fot(join(complement(converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_2314,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = join(join(one,complement(converse(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2315,plain,
( join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) != join(join(one,complement(converse(skolemFOFtoCNF_X0))),X2)
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),join(join(one,complement(converse(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2316,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) != join(join(one,complement(converse(skolemFOFtoCNF_X0))),X2)
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_906,refute_0_2315]) ).
cnf(refute_0_2317,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),join(join(one,complement(converse(skolemFOFtoCNF_X0))),X2)) )],[refute_0_2314,refute_0_2316]) ).
cnf(refute_0_2318,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) != join(top,X2)
| join(top,X2) != top
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_2319,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) != join(top,X2)
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_0_529,refute_0_2318]) ).
cnf(refute_0_2320,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),join(top,X2)) )],[refute_0_2317,refute_0_2319]) ).
cnf(refute_0_2321,plain,
( complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) != top
| complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)),complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2322,plain,
( complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),top) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)),complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_2313,refute_0_2322]) ).
cnf(refute_0_2324,plain,
complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),
inference(subst,[],[refute_0_2044:[bind(X_187,$fot(converse(skolemFOFtoCNF_X0))),bind(X_25,$fot(one)),bind(X_27,$fot(X2))]]) ).
cnf(refute_0_2325,plain,
( complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2)))
| complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)))),bind(Y,$fot(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))))),bind(Z,$fot(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2)))))]]) ).
cnf(refute_0_2326,plain,
( complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2)))
| complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)),complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_2313,refute_0_2325]) ).
cnf(refute_0_2327,plain,
complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) = meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),
inference(resolve,[$cnf( $equal(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2)))) )],[refute_0_2324,refute_0_2326]) ).
cnf(refute_0_2328,plain,
( complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != complement(top)
| complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2)))
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)),complement(top)) ),[0],$fot(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))))]]) ).
cnf(refute_0_2329,plain,
( complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != complement(top)
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)),meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2)))) )],[refute_0_2327,refute_0_2328]) ).
cnf(refute_0_2330,plain,
( complement(top) != zero
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) != complement(top)
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2331,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) != complement(top)
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_2330]) ).
cnf(refute_0_2332,plain,
( complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)) != complement(top)
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),complement(top)) )],[refute_0_2329,refute_0_2331]) ).
cnf(refute_0_2333,plain,
meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) = zero,
inference(resolve,[$cnf( $equal(complement(join(join(complement(converse(skolemFOFtoCNF_X0)),X2),one)),complement(top)) )],[refute_0_2323,refute_0_2332]) ).
cnf(refute_0_2334,plain,
( complement(join(one,X2)) != join(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))
| meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))) != zero
| complement(join(one,X2)) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,X2)),join(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2335,plain,
( complement(join(one,X2)) != join(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))
| complement(join(one,X2)) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),zero) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
complement(join(one,X2)) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))),
inference(resolve,[$cnf( $equal(complement(join(one,X2)),join(meet(converse(skolemFOFtoCNF_X0),complement(join(one,X2))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))) )],[refute_0_2300,refute_0_2335]) ).
cnf(refute_0_2337,plain,
complement(join(join(X_25,X_27),one)) = complement(join(one,join(X_25,X_27))),
inference(subst,[],[refute_0_2312:[bind(X_83,$fot(join(X_25,X_27)))]]) ).
cnf(refute_0_2338,plain,
join(X_25,join(one,X_27)) = join(one,join(X_25,X_27)),
inference(subst,[],[refute_0_460:[bind(X_26,$fot(one))]]) ).
cnf(refute_0_2339,plain,
( join(X_25,join(one,X_27)) != join(one,join(X_25,X_27))
| join(one,join(X_25,X_27)) = join(X_25,join(one,X_27)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(one,X_27)))),bind(Y,$fot(join(one,join(X_25,X_27))))]]) ).
cnf(refute_0_2340,plain,
join(one,join(X_25,X_27)) = join(X_25,join(one,X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(one,X_27)),join(one,join(X_25,X_27))) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
( complement(join(join(X_25,X_27),one)) != complement(join(one,join(X_25,X_27)))
| join(one,join(X_25,X_27)) != join(X_25,join(one,X_27))
| complement(join(join(X_25,X_27),one)) = complement(join(X_25,join(one,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X_25,X_27),one)),complement(join(one,join(X_25,X_27)))) ),[1,0],$fot(join(X_25,join(one,X_27)))]]) ).
cnf(refute_0_2342,plain,
( complement(join(join(X_25,X_27),one)) != complement(join(one,join(X_25,X_27)))
| complement(join(join(X_25,X_27),one)) = complement(join(X_25,join(one,X_27))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_25,X_27)),join(X_25,join(one,X_27))) )],[refute_0_2340,refute_0_2341]) ).
cnf(refute_0_2343,plain,
complement(join(join(X_25,X_27),one)) = complement(join(X_25,join(one,X_27))),
inference(resolve,[$cnf( $equal(complement(join(join(X_25,X_27),one)),complement(join(one,join(X_25,X_27)))) )],[refute_0_2337,refute_0_2342]) ).
cnf(refute_0_2344,plain,
( complement(join(join(X_25,X_27),one)) != complement(join(X_25,join(one,X_27)))
| complement(join(join(X_25,X_27),one)) != complement(join(one,join(X_25,X_27)))
| complement(join(one,join(X_25,X_27))) = complement(join(X_25,join(one,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X_25,X_27),one)),complement(join(X_25,join(one,X_27)))) ),[0],$fot(complement(join(one,join(X_25,X_27))))]]) ).
cnf(refute_0_2345,plain,
( complement(join(join(X_25,X_27),one)) != complement(join(X_25,join(one,X_27)))
| complement(join(one,join(X_25,X_27))) = complement(join(X_25,join(one,X_27))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_25,X_27),one)),complement(join(one,join(X_25,X_27)))) )],[refute_0_2337,refute_0_2344]) ).
cnf(refute_0_2346,plain,
complement(join(one,join(X_25,X_27))) = complement(join(X_25,join(one,X_27))),
inference(resolve,[$cnf( $equal(complement(join(join(X_25,X_27),one)),complement(join(X_25,join(one,X_27)))) )],[refute_0_2343,refute_0_2345]) ).
cnf(refute_0_2347,plain,
( complement(join(one,join(X_25,X_27))) != complement(join(X_25,join(one,X_27)))
| complement(join(X_25,join(one,X_27))) = complement(join(one,join(X_25,X_27))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(join(one,join(X_25,X_27))))),bind(Y,$fot(complement(join(X_25,join(one,X_27)))))]]) ).
cnf(refute_0_2348,plain,
complement(join(X_25,join(one,X_27))) = complement(join(one,join(X_25,X_27))),
inference(resolve,[$cnf( $equal(complement(join(one,join(X_25,X_27))),complement(join(X_25,join(one,X_27)))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
complement(join(converse(skolemFOFtoCNF_X0),join(one,X2))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),
inference(subst,[],[refute_0_2348:[bind(X_25,$fot(converse(skolemFOFtoCNF_X0))),bind(X_27,$fot(X2))]]) ).
cnf(refute_0_2350,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) = complement(join(converse(skolemFOFtoCNF_X0),join(one,X2))),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(join(one,X2))),bind(X_83,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2351,plain,
( complement(join(converse(skolemFOFtoCNF_X0),join(one,X2))) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) != complement(join(converse(skolemFOFtoCNF_X0),join(one,X2)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))),bind(Y,$fot(complement(join(converse(skolemFOFtoCNF_X0),join(one,X2))))),bind(Z,$fot(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))))]]) ).
cnf(refute_0_2352,plain,
( complement(join(converse(skolemFOFtoCNF_X0),join(one,X2))) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))),complement(join(converse(skolemFOFtoCNF_X0),join(one,X2)))) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),join(one,X2))),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_2349,refute_0_2352]) ).
cnf(refute_0_2354,plain,
join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))))]]) ).
cnf(refute_0_2355,plain,
( join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) != meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))
| meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))))),bind(Y,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))),bind(Z,$fot(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))))]]) ).
cnf(refute_0_2356,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_2353,refute_0_2356]) ).
cnf(refute_0_2358,plain,
( complement(join(one,X2)) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| complement(join(one,X2)) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(one,X2)),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) ),[0],$fot(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))))]]) ).
cnf(refute_0_2359,plain,
( complement(join(one,X2)) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))
| complement(join(one,X2)) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2)))),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
complement(join(one,X2)) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(complement(join(one,X2)),join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),complement(join(one,X2))))) )],[refute_0_2336,refute_0_2359]) ).
cnf(refute_0_2361,plain,
converse(join(converse(X_68),join(X_21,one))) = join(X_68,converse(join(X_21,one))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(X_68)),bind(X_20,$fot(join(X_21,one)))]]) ).
cnf(refute_0_2362,plain,
( converse(join(X_21,one)) != converse(join(one,X_21))
| converse(join(converse(X_68),join(X_21,one))) != join(X_68,converse(join(X_21,one)))
| converse(join(converse(X_68),join(X_21,one))) = join(X_68,converse(join(one,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_68),join(X_21,one))),join(X_68,converse(join(X_21,one)))) ),[1,1],$fot(converse(join(one,X_21)))]]) ).
cnf(refute_0_2363,plain,
( converse(join(converse(X_68),join(X_21,one))) != join(X_68,converse(join(X_21,one)))
| converse(join(converse(X_68),join(X_21,one))) = join(X_68,converse(join(one,X_21))) ),
inference(resolve,[$cnf( $equal(converse(join(X_21,one)),converse(join(one,X_21))) )],[refute_0_734,refute_0_2362]) ).
cnf(refute_0_2364,plain,
converse(join(converse(X_68),join(X_21,one))) = join(X_68,converse(join(one,X_21))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(X_21,one))),join(X_68,converse(join(X_21,one)))) )],[refute_0_2361,refute_0_2363]) ).
cnf(refute_0_2365,plain,
converse(join(X_20,converse(join(X_54,one)))) = converse(join(converse(join(X_54,one)),X_20)),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(join(X_54,one))))]]) ).
cnf(refute_0_2366,plain,
join(one,join(converse(X_54),X_20)) = join(converse(join(X_54,one)),X_20),
inference(subst,[],[refute_0_692:[bind(X_19,$fot(X_54)),bind(X_27,$fot(X_20))]]) ).
cnf(refute_0_2367,plain,
( join(one,join(converse(X_54),X_20)) != join(converse(join(X_54,one)),X_20)
| join(converse(join(X_54,one)),X_20) = join(one,join(converse(X_54),X_20)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,join(converse(X_54),X_20)))),bind(Y,$fot(join(converse(join(X_54,one)),X_20)))]]) ).
cnf(refute_0_2368,plain,
join(converse(join(X_54,one)),X_20) = join(one,join(converse(X_54),X_20)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_54),X_20)),join(converse(join(X_54,one)),X_20)) )],[refute_0_2366,refute_0_2367]) ).
cnf(refute_0_2369,plain,
( converse(join(X_20,converse(join(X_54,one)))) != converse(join(converse(join(X_54,one)),X_20))
| join(converse(join(X_54,one)),X_20) != join(one,join(converse(X_54),X_20))
| converse(join(X_20,converse(join(X_54,one)))) = converse(join(one,join(converse(X_54),X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_20,converse(join(X_54,one)))),converse(join(converse(join(X_54,one)),X_20))) ),[1,0],$fot(join(one,join(converse(X_54),X_20)))]]) ).
cnf(refute_0_2370,plain,
( converse(join(X_20,converse(join(X_54,one)))) != converse(join(converse(join(X_54,one)),X_20))
| converse(join(X_20,converse(join(X_54,one)))) = converse(join(one,join(converse(X_54),X_20))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_54,one)),X_20),join(one,join(converse(X_54),X_20))) )],[refute_0_2368,refute_0_2369]) ).
cnf(refute_0_2371,plain,
converse(join(X_20,converse(join(X_54,one)))) = converse(join(one,join(converse(X_54),X_20))),
inference(resolve,[$cnf( $equal(converse(join(X_20,converse(join(X_54,one)))),converse(join(converse(join(X_54,one)),X_20))) )],[refute_0_2365,refute_0_2370]) ).
cnf(refute_0_2372,plain,
join(converse(X_20),join(X_54,one)) = join(one,join(converse(X_20),X_54)),
inference(subst,[],[refute_0_423:[bind(X0,$fot(one)),bind(X_25,$fot(converse(X_20))),bind(X_26,$fot(X_54))]]) ).
cnf(refute_0_2373,plain,
converse(join(X_20,converse(join(X_54,one)))) = join(converse(X_20),join(X_54,one)),
inference(subst,[],[refute_0_699:[bind(X0,$fot(join(X_54,one))),bind(X_19,$fot(X_20))]]) ).
cnf(refute_0_2374,plain,
( converse(join(X_20,converse(join(X_54,one)))) != join(converse(X_20),join(X_54,one))
| join(converse(X_20),join(X_54,one)) != join(one,join(converse(X_20),X_54))
| converse(join(X_20,converse(join(X_54,one)))) = join(one,join(converse(X_20),X_54)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(X_20,converse(join(X_54,one)))))),bind(Y,$fot(join(converse(X_20),join(X_54,one)))),bind(Z,$fot(join(one,join(converse(X_20),X_54))))]]) ).
cnf(refute_0_2375,plain,
( join(converse(X_20),join(X_54,one)) != join(one,join(converse(X_20),X_54))
| converse(join(X_20,converse(join(X_54,one)))) = join(one,join(converse(X_20),X_54)) ),
inference(resolve,[$cnf( $equal(converse(join(X_20,converse(join(X_54,one)))),join(converse(X_20),join(X_54,one))) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
converse(join(X_20,converse(join(X_54,one)))) = join(one,join(converse(X_20),X_54)),
inference(resolve,[$cnf( $equal(join(converse(X_20),join(X_54,one)),join(one,join(converse(X_20),X_54))) )],[refute_0_2372,refute_0_2375]) ).
cnf(refute_0_2377,plain,
( converse(join(X_20,converse(join(X_54,one)))) != converse(join(one,join(converse(X_54),X_20)))
| converse(join(X_20,converse(join(X_54,one)))) != join(one,join(converse(X_20),X_54))
| join(one,join(converse(X_20),X_54)) = converse(join(one,join(converse(X_54),X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_20,converse(join(X_54,one)))),converse(join(one,join(converse(X_54),X_20)))) ),[0],$fot(join(one,join(converse(X_20),X_54)))]]) ).
cnf(refute_0_2378,plain,
( converse(join(X_20,converse(join(X_54,one)))) != converse(join(one,join(converse(X_54),X_20)))
| join(one,join(converse(X_20),X_54)) = converse(join(one,join(converse(X_54),X_20))) ),
inference(resolve,[$cnf( $equal(converse(join(X_20,converse(join(X_54,one)))),join(one,join(converse(X_20),X_54))) )],[refute_0_2376,refute_0_2377]) ).
cnf(refute_0_2379,plain,
join(one,join(converse(X_20),X_54)) = converse(join(one,join(converse(X_54),X_20))),
inference(resolve,[$cnf( $equal(converse(join(X_20,converse(join(X_54,one)))),converse(join(one,join(converse(X_54),X_20)))) )],[refute_0_2371,refute_0_2378]) ).
cnf(refute_0_2380,plain,
( join(one,join(converse(X_20),X_54)) != converse(join(one,join(converse(X_54),X_20)))
| converse(join(one,join(converse(X_54),X_20))) = join(one,join(converse(X_20),X_54)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,join(converse(X_20),X_54)))),bind(Y,$fot(converse(join(one,join(converse(X_54),X_20)))))]]) ).
cnf(refute_0_2381,plain,
converse(join(one,join(converse(X_54),X_20))) = join(one,join(converse(X_20),X_54)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_20),X_54)),converse(join(one,join(converse(X_54),X_20)))) )],[refute_0_2379,refute_0_2380]) ).
cnf(refute_0_2382,plain,
converse(join(one,join(converse(X_68),X_21))) = join(one,join(converse(X_21),X_68)),
inference(subst,[],[refute_0_2381:[bind(X_20,$fot(X_21)),bind(X_54,$fot(X_68))]]) ).
cnf(refute_0_2383,plain,
converse(join(join(X0,X1),X_52)) = converse(join(X_52,join(X0,X1))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(X_52)),bind(X_20,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2384,plain,
join(X0,join(X1,X_52)) = join(join(X0,X1),X_52),
inference(subst,[],[refute_0_123:[bind(X2,$fot(X_52))]]) ).
cnf(refute_0_2385,plain,
( join(X0,join(X1,X_52)) != join(join(X0,X1),X_52)
| join(join(X0,X1),X_52) = join(X0,join(X1,X_52)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X1,X_52)))),bind(Y,$fot(join(join(X0,X1),X_52)))]]) ).
cnf(refute_0_2386,plain,
join(join(X0,X1),X_52) = join(X0,join(X1,X_52)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_52)),join(join(X0,X1),X_52)) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
( converse(join(join(X0,X1),X_52)) != converse(join(X_52,join(X0,X1)))
| join(join(X0,X1),X_52) != join(X0,join(X1,X_52))
| converse(join(X0,join(X1,X_52))) = converse(join(X_52,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X0,X1),X_52)),converse(join(X_52,join(X0,X1)))) ),[0,0],$fot(join(X0,join(X1,X_52)))]]) ).
cnf(refute_0_2388,plain,
( converse(join(join(X0,X1),X_52)) != converse(join(X_52,join(X0,X1)))
| converse(join(X0,join(X1,X_52))) = converse(join(X_52,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_52),join(X0,join(X1,X_52))) )],[refute_0_2386,refute_0_2387]) ).
cnf(refute_0_2389,plain,
converse(join(X0,join(X1,X_52))) = converse(join(X_52,join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X0,X1),X_52)),converse(join(X_52,join(X0,X1)))) )],[refute_0_2383,refute_0_2388]) ).
cnf(refute_0_2390,plain,
converse(join(converse(X_68),join(X_21,one))) = converse(join(one,join(converse(X_68),X_21))),
inference(subst,[],[refute_0_2389:[bind(X0,$fot(converse(X_68))),bind(X1,$fot(X_21)),bind(X_52,$fot(one))]]) ).
cnf(refute_0_2391,plain,
( converse(join(converse(X_68),join(X_21,one))) != converse(join(one,join(converse(X_68),X_21)))
| converse(join(one,join(converse(X_68),X_21))) != join(one,join(converse(X_21),X_68))
| converse(join(converse(X_68),join(X_21,one))) = join(one,join(converse(X_21),X_68)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(X_68),join(X_21,one))))),bind(Y,$fot(converse(join(one,join(converse(X_68),X_21))))),bind(Z,$fot(join(one,join(converse(X_21),X_68))))]]) ).
cnf(refute_0_2392,plain,
( converse(join(one,join(converse(X_68),X_21))) != join(one,join(converse(X_21),X_68))
| converse(join(converse(X_68),join(X_21,one))) = join(one,join(converse(X_21),X_68)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(X_21,one))),converse(join(one,join(converse(X_68),X_21)))) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
converse(join(converse(X_68),join(X_21,one))) = join(one,join(converse(X_21),X_68)),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_68),X_21))),join(one,join(converse(X_21),X_68))) )],[refute_0_2382,refute_0_2392]) ).
cnf(refute_0_2394,plain,
( converse(join(converse(X_68),join(X_21,one))) != join(X_68,converse(join(one,X_21)))
| converse(join(converse(X_68),join(X_21,one))) != join(one,join(converse(X_21),X_68))
| join(one,join(converse(X_21),X_68)) = join(X_68,converse(join(one,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_68),join(X_21,one))),join(X_68,converse(join(one,X_21)))) ),[0],$fot(join(one,join(converse(X_21),X_68)))]]) ).
cnf(refute_0_2395,plain,
( converse(join(converse(X_68),join(X_21,one))) != join(X_68,converse(join(one,X_21)))
| join(one,join(converse(X_21),X_68)) = join(X_68,converse(join(one,X_21))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(X_21,one))),join(one,join(converse(X_21),X_68))) )],[refute_0_2393,refute_0_2394]) ).
cnf(refute_0_2396,plain,
join(one,join(converse(X_21),X_68)) = join(X_68,converse(join(one,X_21))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_68),join(X_21,one))),join(X_68,converse(join(one,X_21)))) )],[refute_0_2364,refute_0_2395]) ).
cnf(refute_0_2397,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,converse(join(one,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2396:[bind(X_21,$fot(skolemFOFtoCNF_X0)),bind(X_68,$fot(X_299))]]) ).
cnf(refute_0_2398,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_299)) != join(X_299,converse(join(one,skolemFOFtoCNF_X0)))
| join(one,skolemFOFtoCNF_X0) != one
| join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_299)),join(X_299,converse(join(one,skolemFOFtoCNF_X0)))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_2399,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_299)) != join(X_299,converse(join(one,skolemFOFtoCNF_X0)))
| join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,converse(one)) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_324,refute_0_2398]) ).
cnf(refute_0_2400,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,converse(one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_299)),join(X_299,converse(join(one,skolemFOFtoCNF_X0)))) )],[refute_0_2397,refute_0_2399]) ).
cnf(refute_0_2401,plain,
join(X_299,converse(one)) = join(X_299,converse(one)),
introduced(tautology,[refl,[$fot(join(X_299,converse(one)))]]) ).
cnf(refute_0_2402,plain,
( converse(one) != one
| join(X_299,converse(one)) != join(X_299,converse(one))
| join(X_299,converse(one)) = join(X_299,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_299,converse(one)),join(X_299,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2403,plain,
( converse(one) != one
| join(X_299,converse(one)) = join(X_299,one) ),
inference(resolve,[$cnf( $equal(join(X_299,converse(one)),join(X_299,converse(one))) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
join(X_299,converse(one)) = join(X_299,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_2403]) ).
cnf(refute_0_2405,plain,
( join(X_299,converse(one)) != join(X_299,one)
| join(one,join(converse(skolemFOFtoCNF_X0),X_299)) != join(X_299,converse(one))
| join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_299)),join(X_299,converse(one))) ),[1],$fot(join(X_299,one))]]) ).
cnf(refute_0_2406,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_299)) != join(X_299,converse(one))
| join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,one) ),
inference(resolve,[$cnf( $equal(join(X_299,converse(one)),join(X_299,one)) )],[refute_0_2404,refute_0_2405]) ).
cnf(refute_0_2407,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_299)),join(X_299,converse(one))) )],[refute_0_2400,refute_0_2406]) ).
cnf(refute_0_2408,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X2)) = join(X2,one),
inference(subst,[],[refute_0_2407:[bind(X_299,$fot(X2))]]) ).
cnf(refute_0_2409,plain,
complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) = complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),
introduced(tautology,[refl,[$fot(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_2410,plain,
( complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| join(one,join(converse(skolemFOFtoCNF_X0),X2)) != join(X2,one)
| complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) = complement(join(X2,one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) ),[1,0],$fot(join(X2,one))]]) ).
cnf(refute_0_2411,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X2)) != join(X2,one)
| complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) = complement(join(X2,one)) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_2409,refute_0_2410]) ).
cnf(refute_0_2412,plain,
complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) = complement(join(X2,one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X2)),join(X2,one)) )],[refute_0_2408,refute_0_2411]) ).
cnf(refute_0_2413,plain,
( complement(join(one,X2)) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))) != complement(join(X2,one))
| complement(join(one,X2)) = complement(join(X2,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(one,X2)),complement(join(X2,one))) ),[0],$fot(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_2414,plain,
( complement(join(one,X2)) != complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))
| complement(join(one,X2)) = complement(join(X2,one)) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(converse(skolemFOFtoCNF_X0),X2))),complement(join(X2,one))) )],[refute_0_2412,refute_0_2413]) ).
cnf(refute_0_2415,plain,
complement(join(one,X2)) = complement(join(X2,one)),
inference(resolve,[$cnf( $equal(complement(join(one,X2)),complement(join(one,join(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_2360,refute_0_2414]) ).
cnf(refute_0_2416,plain,
( complement(join(one,X2)) != complement(join(X2,one))
| complement(join(X2,one)) = complement(join(one,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(join(one,X2)))),bind(Y,$fot(complement(join(X2,one))))]]) ).
cnf(refute_0_2417,plain,
complement(join(X2,one)) = complement(join(one,X2)),
inference(resolve,[$cnf( $equal(complement(join(one,X2)),complement(join(X2,one))) )],[refute_0_2415,refute_0_2416]) ).
cnf(refute_0_2418,plain,
complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_2417:[bind(X2,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2419,plain,
meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(one)),bind(X_83,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2420,plain,
( complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) != complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))),bind(Y,$fot(complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))),bind(Z,$fot(complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2421,plain,
( complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)),complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_2419,refute_0_2420]) ).
cnf(refute_0_2422,plain,
meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_2418,refute_0_2421]) ).
cnf(refute_0_2423,plain,
( complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(one)
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) != complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))),bind(Y,$fot(complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_2424,plain,
( complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(one)
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)),complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_2422,refute_0_2423]) ).
cnf(refute_0_2425,plain,
meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(one,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one)) )],[refute_0_2299,refute_0_2424]) ).
cnf(refute_0_2426,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))))]]) ).
cnf(refute_0_2427,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) != complement(one)
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2428,plain,
( meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) != complement(one)
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) )],[refute_0_2426,refute_0_2427]) ).
cnf(refute_0_2429,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)),complement(one)) )],[refute_0_2425,refute_0_2428]) ).
cnf(refute_0_2430,plain,
complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2431,plain,
join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))))]]) ).
cnf(refute_0_2432,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) ),[1,0],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2433,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) )],[refute_0_2431,refute_0_2432]) ).
cnf(refute_0_2434,plain,
join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2430,refute_0_2433]) ).
cnf(refute_0_2435,plain,
( join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))))),bind(Y,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))))),bind(Z,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_2436,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) )],[refute_0_2429,refute_0_2436]) ).
cnf(refute_0_2438,plain,
( join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))))),bind(Y,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))),bind(Z,$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2439,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2238,refute_0_2439]) ).
cnf(refute_0_2441,plain,
( join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) ),[1],$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2442,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2440,refute_0_2441]) ).
cnf(refute_0_2443,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) )],[refute_0_2151,refute_0_2442]) ).
cnf(refute_0_2444,plain,
join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)))) )],[refute_0_2148,refute_0_2443]) ).
cnf(refute_0_2445,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2446,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2149,refute_0_2445]) ).
cnf(refute_0_2447,plain,
complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2444,refute_0_2446]) ).
cnf(refute_0_2448,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_2449,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2450,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_2448,refute_0_2449]) ).
cnf(refute_0_2451,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2447,refute_0_2450]) ).
cnf(refute_0_2452,plain,
( meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2453,plain,
( meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2451,refute_0_2452]) ).
cnf(refute_0_2454,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2455,plain,
( meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2430,refute_0_2454]) ).
cnf(refute_0_2456,plain,
( meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2453,refute_0_2455]) ).
cnf(refute_0_2457,plain,
meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2144,refute_0_2456]) ).
cnf(refute_0_2458,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = converse(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_20,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2459,plain,
converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(complement(skolemFOFtoCNF_X0))),bind(X_20,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2460,plain,
( converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2461,plain,
( converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2444,refute_0_2460]) ).
cnf(refute_0_2462,plain,
converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2459,refute_0_2461]) ).
cnf(refute_0_2463,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_124,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2464,plain,
converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_20,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2465,plain,
( converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2466,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2463,refute_0_2466]) ).
cnf(refute_0_2468,plain,
( converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))),converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2469,plain,
( converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2467,refute_0_2468]) ).
cnf(refute_0_2470,plain,
join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2471,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2472,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2470,refute_0_2471]) ).
cnf(refute_0_2473,plain,
join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1548,refute_0_2472]) ).
cnf(refute_0_2474,plain,
( join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2475,plain,
( join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2473,refute_0_2474]) ).
cnf(refute_0_2476,plain,
join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_967,refute_0_2475]) ).
cnf(refute_0_2477,plain,
converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_699:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_19,$fot(complement(one)))]]) ).
cnf(refute_0_2478,plain,
( converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2479,plain,
( join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2477,refute_0_2478]) ).
cnf(refute_0_2480,plain,
converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2476,refute_0_2479]) ).
cnf(refute_0_2481,plain,
( converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2482,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2480,refute_0_2481]) ).
cnf(refute_0_2483,plain,
( converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2469,refute_0_2482]) ).
cnf(refute_0_2484,plain,
join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))),converse(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2462,refute_0_2483]) ).
cnf(refute_0_2485,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) != converse(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))),converse(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2486,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) != converse(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = converse(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))),converse(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2458,refute_0_2486]) ).
cnf(refute_0_2488,plain,
join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(X_26,join(complement(skolemFOFtoCNF_X0),composition(top,zero))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(complement(skolemFOFtoCNF_X0))),bind(X_27,$fot(composition(top,zero)))]]) ).
cnf(refute_0_2489,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1052:[bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2490,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2491,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1839,refute_0_2490]) ).
cnf(refute_0_2492,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2489,refute_0_2491]) ).
cnf(refute_0_2493,plain,
join(composition(top,zero),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),composition(top,zero)),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(skolemFOFtoCNF_X0))),bind(X_124,$fot(composition(top,zero)))]]) ).
cnf(refute_0_2494,plain,
join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))) = join(X_26,join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(complement(one))),bind(X_27,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2495,plain,
( join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))) != join(X_26,join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))) = join(X_26,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))),join(X_26,join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2496,plain,
( join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))) != join(X_26,join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))) = join(X_26,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1839,refute_0_2495]) ).
cnf(refute_0_2497,plain,
join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))) = join(X_26,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_26,meet(one,complement(skolemFOFtoCNF_X0)))),join(X_26,join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2494,refute_0_2496]) ).
cnf(refute_0_2498,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(top,zero),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2497:[bind(X_26,$fot(composition(top,zero)))]]) ).
cnf(refute_0_2499,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) != join(composition(top,zero),complement(skolemFOFtoCNF_X0))
| join(composition(top,zero),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(top,zero))
| join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),composition(top,zero)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(composition(top,zero),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0),composition(top,zero))))]]) ).
cnf(refute_0_2500,plain,
( join(composition(top,zero),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(top,zero))
| join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),composition(top,zero)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))),join(composition(top,zero),complement(skolemFOFtoCNF_X0))) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),composition(top,zero)),
inference(resolve,[$cnf( $equal(join(composition(top,zero),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(top,zero))) )],[refute_0_2493,refute_0_2500]) ).
cnf(refute_0_2502,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),composition(top,zero))
| join(complement(skolemFOFtoCNF_X0),composition(top,zero)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(top,zero)))]]) ).
cnf(refute_0_2503,plain,
( join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(top,zero)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),composition(top,zero))) )],[refute_0_2501,refute_0_2502]) ).
cnf(refute_0_2504,plain,
join(complement(skolemFOFtoCNF_X0),composition(top,zero)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),meet(one,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2492,refute_0_2503]) ).
cnf(refute_0_2505,plain,
( join(complement(skolemFOFtoCNF_X0),composition(top,zero)) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) != join(X_26,join(complement(skolemFOFtoCNF_X0),composition(top,zero)))
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(X_26,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(X_26,join(complement(skolemFOFtoCNF_X0),composition(top,zero)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2506,plain,
( join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) != join(X_26,join(complement(skolemFOFtoCNF_X0),composition(top,zero)))
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(X_26,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(top,zero)),complement(skolemFOFtoCNF_X0)) )],[refute_0_2504,refute_0_2505]) ).
cnf(refute_0_2507,plain,
join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(X_26,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(X_26,join(complement(skolemFOFtoCNF_X0),composition(top,zero)))) )],[refute_0_2488,refute_0_2506]) ).
cnf(refute_0_2508,plain,
join(X_26,composition(top,zero)) = join(X_26,composition(top,zero)),
introduced(tautology,[refl,[$fot(join(X_26,composition(top,zero)))]]) ).
cnf(refute_0_2509,plain,
( composition(top,zero) != zero
| join(X_26,composition(top,zero)) != join(X_26,composition(top,zero))
| join(X_26,composition(top,zero)) = join(X_26,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,composition(top,zero)),join(X_26,composition(top,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2510,plain,
( composition(top,zero) != zero
| join(X_26,composition(top,zero)) = join(X_26,zero) ),
inference(resolve,[$cnf( $equal(join(X_26,composition(top,zero)),join(X_26,composition(top,zero))) )],[refute_0_2508,refute_0_2509]) ).
cnf(refute_0_2511,plain,
join(X_26,composition(top,zero)) = join(X_26,zero),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1320,refute_0_2510]) ).
cnf(refute_0_2512,plain,
( join(X_26,composition(top,zero)) != join(X_26,zero)
| join(X_26,zero) != X_26
| join(X_26,composition(top,zero)) = X_26 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_26,composition(top,zero)))),bind(Y,$fot(join(X_26,zero))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_2513,plain,
( join(X_26,zero) != X_26
| join(X_26,composition(top,zero)) = X_26 ),
inference(resolve,[$cnf( $equal(join(X_26,composition(top,zero)),join(X_26,zero)) )],[refute_0_2511,refute_0_2512]) ).
cnf(refute_0_2514,plain,
join(X_26,composition(top,zero)) = X_26,
inference(resolve,[$cnf( $equal(join(X_26,zero),X_26) )],[refute_0_1144,refute_0_2513]) ).
cnf(refute_0_2515,plain,
join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))))]]) ).
cnf(refute_0_2516,plain,
( join(X_26,composition(top,zero)) != X_26
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) != join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero)))
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(complement(skolemFOFtoCNF_X0),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero)))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_2517,plain,
( join(X_26,composition(top,zero)) != X_26
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(complement(skolemFOFtoCNF_X0),X_26) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero)))) )],[refute_0_2515,refute_0_2516]) ).
cnf(refute_0_2518,plain,
join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) = join(complement(skolemFOFtoCNF_X0),X_26),
inference(resolve,[$cnf( $equal(join(X_26,composition(top,zero)),X_26) )],[refute_0_2514,refute_0_2517]) ).
cnf(refute_0_2519,plain,
( join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) != join(X_26,complement(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) != join(complement(skolemFOFtoCNF_X0),X_26)
| join(complement(skolemFOFtoCNF_X0),X_26) = join(X_26,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(X_26,complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),X_26))]]) ).
cnf(refute_0_2520,plain,
( join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))) != join(X_26,complement(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),X_26) = join(X_26,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(complement(skolemFOFtoCNF_X0),X_26)) )],[refute_0_2518,refute_0_2519]) ).
cnf(refute_0_2521,plain,
join(complement(skolemFOFtoCNF_X0),X_26) = join(X_26,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_26,composition(top,zero))),join(X_26,complement(skolemFOFtoCNF_X0))) )],[refute_0_2507,refute_0_2520]) ).
cnf(refute_0_2522,plain,
( join(complement(skolemFOFtoCNF_X0),X_26) != join(X_26,complement(skolemFOFtoCNF_X0))
| join(X_26,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),X_26))),bind(Y,$fot(join(X_26,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2523,plain,
join(X_26,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X_26),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),X_26),join(X_26,complement(skolemFOFtoCNF_X0))) )],[refute_0_2521,refute_0_2522]) ).
cnf(refute_0_2524,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2523:[bind(X_26,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2525,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2526,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2524,refute_0_2525]) ).
cnf(refute_0_2527,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2444,refute_0_2526]) ).
cnf(refute_0_2528,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_699:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X_19,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2529,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2530,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) )],[refute_0_2528,refute_0_2529]) ).
cnf(refute_0_2531,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2527,refute_0_2530]) ).
cnf(refute_0_2532,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))),converse(complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2533,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2531,refute_0_2532]) ).
cnf(refute_0_2534,plain,
join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))),converse(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2487,refute_0_2533]) ).
cnf(refute_0_2535,plain,
meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2536,plain,
( join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2537,plain,
( join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2534,refute_0_2537]) ).
cnf(refute_0_2539,plain,
( meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2540,plain,
( meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2538,refute_0_2539]) ).
cnf(refute_0_2541,plain,
meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2457,refute_0_2540]) ).
cnf(refute_0_2542,plain,
converse(converse(complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_43:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2543,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(complement(converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2544,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_99,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2545,plain,
join(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_861:[bind(X1,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X2,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2546,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2547,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2484,refute_0_2546]) ).
cnf(refute_0_2548,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2545,refute_0_2547]) ).
cnf(refute_0_2549,plain,
join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(X_26,join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_27,$fot(composition(top,zero)))]]) ).
cnf(refute_0_2550,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) != join(X_26,join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(X_26,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(X_26,join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2551,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) != join(X_26,join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(X_26,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1110,refute_0_2550]) ).
cnf(refute_0_2552,plain,
join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(X_26,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(X_26,join(complement(converse(skolemFOFtoCNF_X0)),composition(top,zero)))) )],[refute_0_2549,refute_0_2551]) ).
cnf(refute_0_2553,plain,
join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),
introduced(tautology,[refl,[$fot(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))))]]) ).
cnf(refute_0_2554,plain,
( join(X_26,composition(top,zero)) != X_26
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) != join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero)))
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(complement(converse(skolemFOFtoCNF_X0)),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero)))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_2555,plain,
( join(X_26,composition(top,zero)) != X_26
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(complement(converse(skolemFOFtoCNF_X0)),X_26) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero)))) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) = join(complement(converse(skolemFOFtoCNF_X0)),X_26),
inference(resolve,[$cnf( $equal(join(X_26,composition(top,zero)),X_26) )],[refute_0_2514,refute_0_2555]) ).
cnf(refute_0_2557,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) != join(X_26,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) != join(complement(converse(skolemFOFtoCNF_X0)),X_26)
| join(complement(converse(skolemFOFtoCNF_X0)),X_26) = join(X_26,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(X_26,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(converse(skolemFOFtoCNF_X0)),X_26))]]) ).
cnf(refute_0_2558,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))) != join(X_26,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),X_26) = join(X_26,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(complement(converse(skolemFOFtoCNF_X0)),X_26)) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
join(complement(converse(skolemFOFtoCNF_X0)),X_26) = join(X_26,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),join(X_26,composition(top,zero))),join(X_26,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2552,refute_0_2558]) ).
cnf(refute_0_2560,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),X_26) != join(X_26,complement(converse(skolemFOFtoCNF_X0)))
| join(X_26,complement(converse(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(converse(skolemFOFtoCNF_X0)),X_26))),bind(Y,$fot(join(X_26,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2561,plain,
join(X_26,complement(converse(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),X_26),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),X_26),join(X_26,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2559,refute_0_2560]) ).
cnf(refute_0_2562,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2561:[bind(X_26,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2563,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) != join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2564,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_2562,refute_0_2563]) ).
cnf(refute_0_2565,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2566,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2484,refute_0_2565]) ).
cnf(refute_0_2567,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2564,refute_0_2566]) ).
cnf(refute_0_2568,plain,
join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2548,refute_0_2567]) ).
cnf(refute_0_2569,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2570,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(join(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2544,refute_0_2570]) ).
cnf(refute_0_2572,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
inference(subst,[],[refute_0_588:[bind(X_94,$fot(converse(X0)))]]) ).
cnf(refute_0_2573,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| converse(converse(X0)) != X0
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) ),[1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_2574,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_2573]) ).
cnf(refute_0_2575,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_2572,refute_0_2574]) ).
cnf(refute_0_2576,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(X0)))
| meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(X0)))),bind(Y,$fot(meet(complement(converse(X0)),converse(complement(X0)))))]]) ).
cnf(refute_0_2577,plain,
meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_2575,refute_0_2576]) ).
cnf(refute_0_2578,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2577:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2579,plain,
complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2580,plain,
( complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) != complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))
| meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2581,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2578,refute_0_2581]) ).
cnf(refute_0_2583,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2584,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2582,refute_0_2583]) ).
cnf(refute_0_2585,plain,
complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_987,refute_0_2584]) ).
cnf(refute_0_2586,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))) = complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2587,plain,
join(complement(X_114),meet(X_84,X_114)) = join(meet(X_84,join(complement(X_114),meet(X_84,X_114))),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(join(complement(X_114),meet(X_84,X_114))))]]) ).
cnf(refute_0_2588,plain,
X_84 = meet(X_84,join(complement(X_114),meet(X_84,X_114))),
inference(subst,[],[refute_0_292:[bind(X_15,$fot(X_114)),bind(X_83,$fot(X_84))]]) ).
cnf(refute_0_2589,plain,
( X_84 != meet(X_84,join(complement(X_114),meet(X_84,X_114)))
| meet(X_84,join(complement(X_114),meet(X_84,X_114))) = X_84 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_84)),bind(Y,$fot(meet(X_84,join(complement(X_114),meet(X_84,X_114)))))]]) ).
cnf(refute_0_2590,plain,
meet(X_84,join(complement(X_114),meet(X_84,X_114))) = X_84,
inference(resolve,[$cnf( $equal(X_84,meet(X_84,join(complement(X_114),meet(X_84,X_114)))) )],[refute_0_2588,refute_0_2589]) ).
cnf(refute_0_2591,plain,
( join(complement(X_114),meet(X_84,X_114)) != join(meet(X_84,join(complement(X_114),meet(X_84,X_114))),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))
| meet(X_84,join(complement(X_114),meet(X_84,X_114))) != X_84
| join(complement(X_114),meet(X_84,X_114)) = join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),join(meet(X_84,join(complement(X_114),meet(X_84,X_114))),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))) ),[1,0],$fot(X_84)]]) ).
cnf(refute_0_2592,plain,
( join(complement(X_114),meet(X_84,X_114)) != join(meet(X_84,join(complement(X_114),meet(X_84,X_114))),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))
| join(complement(X_114),meet(X_84,X_114)) = join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) ),
inference(resolve,[$cnf( $equal(meet(X_84,join(complement(X_114),meet(X_84,X_114))),X_84) )],[refute_0_2590,refute_0_2591]) ).
cnf(refute_0_2593,plain,
join(complement(X_114),meet(X_84,X_114)) = join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),join(meet(X_84,join(complement(X_114),meet(X_84,X_114))),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))) )],[refute_0_2587,refute_0_2592]) ).
cnf(refute_0_2594,plain,
( meet(X0,complement(meet(X_14,X_15))) != complement(join(complement(X0),meet(X_14,X_15)))
| complement(join(complement(X0),meet(X_14,X_15))) = meet(X0,complement(meet(X_14,X_15))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X0,complement(meet(X_14,X_15))))),bind(Y,$fot(complement(join(complement(X0),meet(X_14,X_15)))))]]) ).
cnf(refute_0_2595,plain,
complement(join(complement(X0),meet(X_14,X_15))) = meet(X0,complement(meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_14,X_15))),complement(join(complement(X0),meet(X_14,X_15)))) )],[refute_0_192,refute_0_2594]) ).
cnf(refute_0_2596,plain,
complement(join(complement(X_114),meet(X_84,X_114))) = meet(X_114,complement(meet(X_84,X_114))),
inference(subst,[],[refute_0_2595:[bind(X0,$fot(X_114)),bind(X_14,$fot(X_84)),bind(X_15,$fot(X_114))]]) ).
cnf(refute_0_2597,plain,
join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) = join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))),
introduced(tautology,[refl,[$fot(join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))))]]) ).
cnf(refute_0_2598,plain,
( complement(join(complement(X_114),meet(X_84,X_114))) != meet(X_114,complement(meet(X_84,X_114)))
| join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) != join(X_84,complement(join(complement(X_114),meet(X_84,X_114))))
| join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) = join(X_84,meet(X_114,complement(meet(X_84,X_114)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))),join(X_84,complement(join(complement(X_114),meet(X_84,X_114))))) ),[1,1],$fot(meet(X_114,complement(meet(X_84,X_114))))]]) ).
cnf(refute_0_2599,plain,
( complement(join(complement(X_114),meet(X_84,X_114))) != meet(X_114,complement(meet(X_84,X_114)))
| join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) = join(X_84,meet(X_114,complement(meet(X_84,X_114)))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))),join(X_84,complement(join(complement(X_114),meet(X_84,X_114))))) )],[refute_0_2597,refute_0_2598]) ).
cnf(refute_0_2600,plain,
join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) = join(X_84,meet(X_114,complement(meet(X_84,X_114)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_114),meet(X_84,X_114))),meet(X_114,complement(meet(X_84,X_114)))) )],[refute_0_2596,refute_0_2599]) ).
cnf(refute_0_2601,plain,
join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) = join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_84)),bind(X1,$fot(complement(join(complement(X_114),meet(X_84,X_114)))))]]) ).
cnf(refute_0_2602,plain,
( join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) != join(X_84,meet(X_114,complement(meet(X_84,X_114))))
| join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) != join(X_84,complement(join(complement(X_114),meet(X_84,X_114))))
| join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) = join(X_84,meet(X_114,complement(meet(X_84,X_114)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),bind(Y,$fot(join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))))),bind(Z,$fot(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))]]) ).
cnf(refute_0_2603,plain,
( join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))) != join(X_84,meet(X_114,complement(meet(X_84,X_114))))
| join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) = join(X_84,meet(X_114,complement(meet(X_84,X_114)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84),join(X_84,complement(join(complement(X_114),meet(X_84,X_114))))) )],[refute_0_2601,refute_0_2602]) ).
cnf(refute_0_2604,plain,
join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) = join(X_84,meet(X_114,complement(meet(X_84,X_114)))),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(complement(X_114),meet(X_84,X_114)))),join(X_84,meet(X_114,complement(meet(X_84,X_114))))) )],[refute_0_2600,refute_0_2603]) ).
cnf(refute_0_2605,plain,
complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) = complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))]]) ).
cnf(refute_0_2606,plain,
( complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) != complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))
| join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) != join(X_84,meet(X_114,complement(meet(X_84,X_114))))
| complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) = complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) ),[1,0],$fot(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))]]) ).
cnf(refute_0_2607,plain,
( join(complement(join(complement(X_114),meet(X_84,X_114))),X_84) != join(X_84,meet(X_114,complement(meet(X_84,X_114))))
| complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) = complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)),complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) )],[refute_0_2605,refute_0_2606]) ).
cnf(refute_0_2608,plain,
complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) = complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84),join(X_84,meet(X_114,complement(meet(X_84,X_114))))) )],[refute_0_2604,refute_0_2607]) ).
cnf(refute_0_2609,plain,
join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) = join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),
introduced(tautology,[refl,[$fot(join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))))]]) ).
cnf(refute_0_2610,plain,
( complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) != complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))
| join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) != join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))
| join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) = join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))) ),[1,1],$fot(complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))]]) ).
cnf(refute_0_2611,plain,
( complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)) != complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))
| join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) = join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))) )],[refute_0_2609,refute_0_2610]) ).
cnf(refute_0_2612,plain,
join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) = join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)),complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) )],[refute_0_2608,refute_0_2611]) ).
cnf(refute_0_2613,plain,
( join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))) != join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))
| join(complement(X_114),meet(X_84,X_114)) != join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))
| join(complement(X_114),meet(X_84,X_114)) = join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))) ),[1],$fot(join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))))]]) ).
cnf(refute_0_2614,plain,
( join(complement(X_114),meet(X_84,X_114)) != join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))
| join(complement(X_114),meet(X_84,X_114)) = join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84))),join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))) )],[refute_0_2612,refute_0_2613]) ).
cnf(refute_0_2615,plain,
join(complement(X_114),meet(X_84,X_114)) = join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),join(X_84,complement(join(complement(join(complement(X_114),meet(X_84,X_114))),X_84)))) )],[refute_0_2593,refute_0_2614]) ).
cnf(refute_0_2616,plain,
complement(meet(complement(X_306),X_307)) = join(complement(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(meet(complement(X_306),X_307))),bind(X_99,$fot(complement(join(X_307,X_306))))]]) ).
cnf(refute_0_2617,plain,
complement(X_306) = join(complement(join(X_307,X_306)),meet(complement(X_306),X_307)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(X_306)),bind(X_99,$fot(X_307))]]) ).
cnf(refute_0_2618,plain,
( complement(X_306) != join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))
| join(complement(join(X_307,X_306)),meet(complement(X_306),X_307)) = complement(X_306) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_306))),bind(Y,$fot(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))))]]) ).
cnf(refute_0_2619,plain,
join(complement(join(X_307,X_306)),meet(complement(X_306),X_307)) = complement(X_306),
inference(resolve,[$cnf( $equal(complement(X_306),join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))) )],[refute_0_2617,refute_0_2618]) ).
cnf(refute_0_2620,plain,
( complement(meet(complement(X_306),X_307)) != join(complement(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| join(complement(join(X_307,X_306)),meet(complement(X_306),X_307)) != complement(X_306)
| complement(meet(complement(X_306),X_307)) = join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_306),X_307)),join(complement(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) ),[1,0,0],$fot(complement(X_306))]]) ).
cnf(refute_0_2621,plain,
( complement(meet(complement(X_306),X_307)) != join(complement(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| complement(meet(complement(X_306),X_307)) = join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307)),complement(X_306)) )],[refute_0_2619,refute_0_2620]) ).
cnf(refute_0_2622,plain,
complement(meet(complement(X_306),X_307)) = join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_306),X_307)),join(complement(join(complement(join(X_307,X_306)),meet(complement(X_306),X_307))),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) )],[refute_0_2616,refute_0_2621]) ).
cnf(refute_0_2623,plain,
X_287 = join(X_287,meet(complement(complement(X_83)),X_287)),
inference(subst,[],[refute_0_2275:[bind(X_96,$fot(complement(X_83))),bind(X_97,$fot(X_287))]]) ).
cnf(refute_0_2624,plain,
( X_287 != join(X_287,meet(complement(complement(X_83)),X_287))
| complement(complement(X_83)) != X_83
| X_287 = join(X_287,meet(X_83,X_287)) ),
introduced(tautology,[equality,[$cnf( $equal(X_287,join(X_287,meet(complement(complement(X_83)),X_287))) ),[1,1,0],$fot(X_83)]]) ).
cnf(refute_0_2625,plain,
( X_287 != join(X_287,meet(complement(complement(X_83)),X_287))
| X_287 = join(X_287,meet(X_83,X_287)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_2624]) ).
cnf(refute_0_2626,plain,
X_287 = join(X_287,meet(X_83,X_287)),
inference(resolve,[$cnf( $equal(X_287,join(X_287,meet(complement(complement(X_83)),X_287))) )],[refute_0_2623,refute_0_2625]) ).
cnf(refute_0_2627,plain,
( X_287 != join(X_287,meet(X_83,X_287))
| join(X_287,meet(X_83,X_287)) = X_287 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_287)),bind(Y,$fot(join(X_287,meet(X_83,X_287))))]]) ).
cnf(refute_0_2628,plain,
join(X_287,meet(X_83,X_287)) = X_287,
inference(resolve,[$cnf( $equal(X_287,join(X_287,meet(X_83,X_287))) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
join(X_307,meet(complement(X_306),X_307)) = X_307,
inference(subst,[],[refute_0_2628:[bind(X_287,$fot(X_307)),bind(X_83,$fot(complement(X_306)))]]) ).
cnf(refute_0_2630,plain,
join(X_306,join(X_307,meet(complement(X_306),X_307))) = join(X_306,join(X_307,meet(complement(X_306),X_307))),
introduced(tautology,[refl,[$fot(join(X_306,join(X_307,meet(complement(X_306),X_307))))]]) ).
cnf(refute_0_2631,plain,
( join(X_306,join(X_307,meet(complement(X_306),X_307))) != join(X_306,join(X_307,meet(complement(X_306),X_307)))
| join(X_307,meet(complement(X_306),X_307)) != X_307
| join(X_306,join(X_307,meet(complement(X_306),X_307))) = join(X_306,X_307) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_306,join(X_307,meet(complement(X_306),X_307))),join(X_306,join(X_307,meet(complement(X_306),X_307)))) ),[1,1],$fot(X_307)]]) ).
cnf(refute_0_2632,plain,
( join(X_307,meet(complement(X_306),X_307)) != X_307
| join(X_306,join(X_307,meet(complement(X_306),X_307))) = join(X_306,X_307) ),
inference(resolve,[$cnf( $equal(join(X_306,join(X_307,meet(complement(X_306),X_307))),join(X_306,join(X_307,meet(complement(X_306),X_307)))) )],[refute_0_2630,refute_0_2631]) ).
cnf(refute_0_2633,plain,
join(X_306,join(X_307,meet(complement(X_306),X_307))) = join(X_306,X_307),
inference(resolve,[$cnf( $equal(join(X_307,meet(complement(X_306),X_307)),X_307) )],[refute_0_2629,refute_0_2632]) ).
cnf(refute_0_2634,plain,
join(X_27,join(X_26,X_25)) = join(X_26,join(X_25,X_27)),
inference(subst,[],[refute_0_421:[bind(X0,$fot(X_27)),bind(X_25,$fot(X_26)),bind(X_26,$fot(X_25))]]) ).
cnf(refute_0_2635,plain,
( join(X_27,join(X_26,X_25)) != join(X_26,join(X_25,X_27))
| join(X_26,join(X_25,X_27)) = join(X_27,join(X_26,X_25)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_27,join(X_26,X_25)))),bind(Y,$fot(join(X_26,join(X_25,X_27))))]]) ).
cnf(refute_0_2636,plain,
join(X_26,join(X_25,X_27)) = join(X_27,join(X_26,X_25)),
inference(resolve,[$cnf( $equal(join(X_27,join(X_26,X_25)),join(X_26,join(X_25,X_27))) )],[refute_0_2634,refute_0_2635]) ).
cnf(refute_0_2637,plain,
( join(X_25,join(X_26,X_27)) != join(X_26,join(X_25,X_27))
| join(X_26,join(X_25,X_27)) != join(X_27,join(X_26,X_25))
| join(X_25,join(X_26,X_27)) = join(X_27,join(X_26,X_25)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(X_26,X_27)),join(X_27,join(X_26,X_25))) ),[0],$fot(join(X_26,join(X_25,X_27)))]]) ).
cnf(refute_0_2638,plain,
( join(X_25,join(X_26,X_27)) != join(X_26,join(X_25,X_27))
| join(X_25,join(X_26,X_27)) = join(X_27,join(X_26,X_25)) ),
inference(resolve,[$cnf( $equal(join(X_26,join(X_25,X_27)),join(X_27,join(X_26,X_25))) )],[refute_0_2636,refute_0_2637]) ).
cnf(refute_0_2639,plain,
join(X_25,join(X_26,X_27)) = join(X_27,join(X_26,X_25)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(X_26,join(X_25,X_27))) )],[refute_0_460,refute_0_2638]) ).
cnf(refute_0_2640,plain,
( join(X_25,join(X_26,X_27)) != join(X_27,join(X_26,X_25))
| join(X_27,join(X_26,X_25)) = join(X_25,join(X_26,X_27)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(X_26,X_27)))),bind(Y,$fot(join(X_27,join(X_26,X_25))))]]) ).
cnf(refute_0_2641,plain,
join(X_27,join(X_26,X_25)) = join(X_25,join(X_26,X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(X_26,X_27)),join(X_27,join(X_26,X_25))) )],[refute_0_2639,refute_0_2640]) ).
cnf(refute_0_2642,plain,
join(meet(complement(X_306),X_307),join(X_307,X_306)) = join(X_306,join(X_307,meet(complement(X_306),X_307))),
inference(subst,[],[refute_0_2641:[bind(X_25,$fot(X_306)),bind(X_26,$fot(X_307)),bind(X_27,$fot(meet(complement(X_306),X_307)))]]) ).
cnf(refute_0_2643,plain,
( join(X_306,join(X_307,meet(complement(X_306),X_307))) != join(X_306,X_307)
| join(meet(complement(X_306),X_307),join(X_307,X_306)) != join(X_306,join(X_307,meet(complement(X_306),X_307)))
| join(meet(complement(X_306),X_307),join(X_307,X_306)) = join(X_306,X_307) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(complement(X_306),X_307),join(X_307,X_306)))),bind(Y,$fot(join(X_306,join(X_307,meet(complement(X_306),X_307))))),bind(Z,$fot(join(X_306,X_307)))]]) ).
cnf(refute_0_2644,plain,
( join(X_306,join(X_307,meet(complement(X_306),X_307))) != join(X_306,X_307)
| join(meet(complement(X_306),X_307),join(X_307,X_306)) = join(X_306,X_307) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_306),X_307),join(X_307,X_306)),join(X_306,join(X_307,meet(complement(X_306),X_307)))) )],[refute_0_2642,refute_0_2643]) ).
cnf(refute_0_2645,plain,
join(meet(complement(X_306),X_307),join(X_307,X_306)) = join(X_306,X_307),
inference(resolve,[$cnf( $equal(join(X_306,join(X_307,meet(complement(X_306),X_307))),join(X_306,X_307)) )],[refute_0_2633,refute_0_2644]) ).
cnf(refute_0_2646,plain,
complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) = complement(join(meet(complement(X_306),X_307),join(X_307,X_306))),
introduced(tautology,[refl,[$fot(complement(join(meet(complement(X_306),X_307),join(X_307,X_306))))]]) ).
cnf(refute_0_2647,plain,
( complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) != complement(join(meet(complement(X_306),X_307),join(X_307,X_306)))
| join(meet(complement(X_306),X_307),join(X_307,X_306)) != join(X_306,X_307)
| complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) = complement(join(X_306,X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(complement(X_306),X_307),join(X_307,X_306))),complement(join(meet(complement(X_306),X_307),join(X_307,X_306)))) ),[1,0],$fot(join(X_306,X_307))]]) ).
cnf(refute_0_2648,plain,
( join(meet(complement(X_306),X_307),join(X_307,X_306)) != join(X_306,X_307)
| complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) = complement(join(X_306,X_307)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(complement(X_306),X_307),join(X_307,X_306))),complement(join(meet(complement(X_306),X_307),join(X_307,X_306)))) )],[refute_0_2646,refute_0_2647]) ).
cnf(refute_0_2649,plain,
complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) = complement(join(X_306,X_307)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_306),X_307),join(X_307,X_306)),join(X_306,X_307)) )],[refute_0_2645,refute_0_2648]) ).
cnf(refute_0_2650,plain,
meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) = complement(join(meet(complement(X_306),X_307),join(X_307,X_306))),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(join(X_307,X_306))),bind(X_83,$fot(meet(complement(X_306),X_307)))]]) ).
cnf(refute_0_2651,plain,
( complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) != complement(join(X_306,X_307))
| meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) != complement(join(meet(complement(X_306),X_307),join(X_307,X_306)))
| meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) = complement(join(X_306,X_307)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))),bind(Y,$fot(complement(join(meet(complement(X_306),X_307),join(X_307,X_306))))),bind(Z,$fot(complement(join(X_306,X_307))))]]) ).
cnf(refute_0_2652,plain,
( complement(join(meet(complement(X_306),X_307),join(X_307,X_306))) != complement(join(X_306,X_307))
| meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) = complement(join(X_306,X_307)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))),complement(join(meet(complement(X_306),X_307),join(X_307,X_306)))) )],[refute_0_2650,refute_0_2651]) ).
cnf(refute_0_2653,plain,
meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) = complement(join(X_306,X_307)),
inference(resolve,[$cnf( $equal(complement(join(meet(complement(X_306),X_307),join(X_307,X_306))),complement(join(X_306,X_307))) )],[refute_0_2649,refute_0_2652]) ).
cnf(refute_0_2654,plain,
join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),
introduced(tautology,[refl,[$fot(join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))))]]) ).
cnf(refute_0_2655,plain,
( join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) != join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) != complement(join(X_306,X_307))
| join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,complement(join(X_306,X_307))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) ),[1,1],$fot(complement(join(X_306,X_307)))]]) ).
cnf(refute_0_2656,plain,
( meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))) != complement(join(X_306,X_307))
| join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,complement(join(X_306,X_307))) ),
inference(resolve,[$cnf( $equal(join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) )],[refute_0_2654,refute_0_2655]) ).
cnf(refute_0_2657,plain,
join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,complement(join(X_306,X_307))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))),complement(join(X_306,X_307))) )],[refute_0_2653,refute_0_2656]) ).
cnf(refute_0_2658,plain,
complement(complement(X_306)) = X_306,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_306))]]) ).
cnf(refute_0_2659,plain,
join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))))]]) ).
cnf(refute_0_2660,plain,
( complement(complement(X_306)) != X_306
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) != join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) ),[1,0],$fot(X_306)]]) ).
cnf(refute_0_2661,plain,
( complement(complement(X_306)) != X_306
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) )],[refute_0_2659,refute_0_2660]) ).
cnf(refute_0_2662,plain,
join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),
inference(resolve,[$cnf( $equal(complement(complement(X_306)),X_306) )],[refute_0_2658,refute_0_2661]) ).
cnf(refute_0_2663,plain,
( join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) != join(X_306,complement(join(X_306,X_307)))
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) != join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,complement(join(X_306,X_307))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))))),bind(Y,$fot(join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))))),bind(Z,$fot(join(X_306,complement(join(X_306,X_307)))))]]) ).
cnf(refute_0_2664,plain,
( join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) != join(X_306,complement(join(X_306,X_307)))
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,complement(join(X_306,X_307))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) )],[refute_0_2662,refute_0_2663]) ).
cnf(refute_0_2665,plain,
join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) = join(X_306,complement(join(X_306,X_307))),
inference(resolve,[$cnf( $equal(join(X_306,meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(X_306,complement(join(X_306,X_307)))) )],[refute_0_2657,refute_0_2664]) ).
cnf(refute_0_2666,plain,
( complement(meet(complement(X_306),X_307)) != join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))) != join(X_306,complement(join(X_306,X_307)))
| complement(meet(complement(X_306),X_307)) = join(X_306,complement(join(X_306,X_307))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(X_306),X_307)),join(X_306,complement(join(X_306,X_307)))) ),[0],$fot(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))))]]) ).
cnf(refute_0_2667,plain,
( complement(meet(complement(X_306),X_307)) != join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))
| complement(meet(complement(X_306),X_307)) = join(X_306,complement(join(X_306,X_307))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306)))),join(X_306,complement(join(X_306,X_307)))) )],[refute_0_2665,refute_0_2666]) ).
cnf(refute_0_2668,plain,
complement(meet(complement(X_306),X_307)) = join(X_306,complement(join(X_306,X_307))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_306),X_307)),join(complement(complement(X_306)),meet(complement(meet(complement(X_306),X_307)),complement(join(X_307,X_306))))) )],[refute_0_2622,refute_0_2667]) ).
cnf(refute_0_2669,plain,
( complement(meet(complement(X_306),X_307)) != join(X_306,complement(join(X_306,X_307)))
| join(X_306,complement(join(X_306,X_307))) = complement(meet(complement(X_306),X_307)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(meet(complement(X_306),X_307)))),bind(Y,$fot(join(X_306,complement(join(X_306,X_307)))))]]) ).
cnf(refute_0_2670,plain,
join(X_306,complement(join(X_306,X_307))) = complement(meet(complement(X_306),X_307)),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_306),X_307)),join(X_306,complement(join(X_306,X_307)))) )],[refute_0_2668,refute_0_2669]) ).
cnf(refute_0_2671,plain,
join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) = complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))),
inference(subst,[],[refute_0_2670:[bind(X_306,$fot(X_84)),bind(X_307,$fot(meet(X_114,complement(meet(X_84,X_114)))))]]) ).
cnf(refute_0_2672,plain,
( join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))) != complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))
| join(complement(X_114),meet(X_84,X_114)) != join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))
| join(complement(X_114),meet(X_84,X_114)) = complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))) ),[1],$fot(complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))))]]) ).
cnf(refute_0_2673,plain,
( join(complement(X_114),meet(X_84,X_114)) != join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))
| join(complement(X_114),meet(X_84,X_114)) = complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114)))))),complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))) )],[refute_0_2671,refute_0_2672]) ).
cnf(refute_0_2674,plain,
join(complement(X_114),meet(X_84,X_114)) = complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),join(X_84,complement(join(X_84,meet(X_114,complement(meet(X_84,X_114))))))) )],[refute_0_2615,refute_0_2673]) ).
cnf(refute_0_2675,plain,
complement(join(complement(X_15),meet(X_14,X_15))) = join(complement(join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(join(complement(X_15),meet(X_14,X_15)))),bind(X_99,$fot(complement(X_14)))]]) ).
cnf(refute_0_2676,plain,
( top != join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))
| join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))))]]) ).
cnf(refute_0_2677,plain,
join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))) )],[refute_0_271,refute_0_2676]) ).
cnf(refute_0_2678,plain,
( complement(join(complement(X_15),meet(X_14,X_15))) != join(complement(join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) != top
| complement(join(complement(X_15),meet(X_14,X_15))) = join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_15),meet(X_14,X_15))),join(complement(join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2679,plain,
( complement(join(complement(X_15),meet(X_14,X_15))) != join(complement(join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| complement(join(complement(X_15),meet(X_14,X_15))) = join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),top) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
complement(join(complement(X_15),meet(X_14,X_15))) = join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),meet(X_14,X_15))),join(complement(join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) )],[refute_0_2675,refute_0_2679]) ).
cnf(refute_0_2681,plain,
complement(join(complement(X_15),meet(X_14,X_15))) = meet(X_15,complement(meet(X_14,X_15))),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(X_15)),bind(X_180,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_2682,plain,
( complement(join(complement(X_15),meet(X_14,X_15))) != join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| complement(join(complement(X_15),meet(X_14,X_15))) != meet(X_15,complement(meet(X_14,X_15)))
| meet(X_15,complement(meet(X_14,X_15))) = join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_15),meet(X_14,X_15))),join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) ),[0],$fot(meet(X_15,complement(meet(X_14,X_15))))]]) ).
cnf(refute_0_2683,plain,
( complement(join(complement(X_15),meet(X_14,X_15))) != join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| meet(X_15,complement(meet(X_14,X_15))) = join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),meet(X_14,X_15))),meet(X_15,complement(meet(X_14,X_15)))) )],[refute_0_2681,refute_0_2682]) ).
cnf(refute_0_2684,plain,
join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15))))))]]) ).
cnf(refute_0_2685,plain,
complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
inference(subst,[],[refute_0_2044:[bind(X_187,$fot(X_15)),bind(X_25,$fot(X_14)),bind(X_27,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_2686,plain,
join(join(complement(X_15),meet(X_14,X_15)),X_14) = join(X_14,join(complement(X_15),meet(X_14,X_15))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_14)),bind(X_124,$fot(join(complement(X_15),meet(X_14,X_15))))]]) ).
cnf(refute_0_2687,plain,
complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)),
introduced(tautology,[refl,[$fot(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)))]]) ).
cnf(refute_0_2688,plain,
( complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) != complement(join(join(complement(X_15),meet(X_14,X_15)),X_14))
| join(join(complement(X_15),meet(X_14,X_15)),X_14) != join(X_14,join(complement(X_15),meet(X_14,X_15)))
| complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)),complement(join(join(complement(X_15),meet(X_14,X_15)),X_14))) ),[1,0],$fot(join(X_14,join(complement(X_15),meet(X_14,X_15))))]]) ).
cnf(refute_0_2689,plain,
( join(join(complement(X_15),meet(X_14,X_15)),X_14) != join(X_14,join(complement(X_15),meet(X_14,X_15)))
| complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)),complement(join(join(complement(X_15),meet(X_14,X_15)),X_14))) )],[refute_0_2687,refute_0_2688]) ).
cnf(refute_0_2690,plain,
complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))),
inference(resolve,[$cnf( $equal(join(join(complement(X_15),meet(X_14,X_15)),X_14),join(X_14,join(complement(X_15),meet(X_14,X_15)))) )],[refute_0_2686,refute_0_2689]) ).
cnf(refute_0_2691,plain,
( complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) != complement(join(X_14,join(complement(X_15),meet(X_14,X_15))))
| complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)))),bind(Y,$fot(complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))))),bind(Z,$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15))))))]]) ).
cnf(refute_0_2692,plain,
( complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)),complement(join(X_14,join(complement(X_15),meet(X_14,X_15))))) )],[refute_0_2690,refute_0_2691]) ).
cnf(refute_0_2693,plain,
complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
inference(resolve,[$cnf( $equal(complement(join(X_14,join(complement(X_15),meet(X_14,X_15)))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2685,refute_0_2692]) ).
cnf(refute_0_2694,plain,
meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) = complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(X_14)),bind(X_83,$fot(join(complement(X_15),meet(X_14,X_15))))]]) ).
cnf(refute_0_2695,plain,
( complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) != complement(join(join(complement(X_15),meet(X_14,X_15)),X_14))
| meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))),bind(Y,$fot(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)))),bind(Z,$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15))))))]]) ).
cnf(refute_0_2696,plain,
( complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)),complement(join(join(complement(X_15),meet(X_14,X_15)),X_14))) )],[refute_0_2694,refute_0_2695]) ).
cnf(refute_0_2697,plain,
meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_15),meet(X_14,X_15)),X_14)),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2693,refute_0_2696]) ).
cnf(refute_0_2698,plain,
join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))))]]) ).
cnf(refute_0_2699,plain,
( join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) ),[1,1],$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15)))))]]) ).
cnf(refute_0_2700,plain,
( meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) )],[refute_0_2698,refute_0_2699]) ).
cnf(refute_0_2701,plain,
join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2697,refute_0_2700]) ).
cnf(refute_0_2702,plain,
join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))))]]) ).
cnf(refute_0_2703,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2704,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) )],[refute_0_2702,refute_0_2703]) ).
cnf(refute_0_2705,plain,
join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_2704]) ).
cnf(refute_0_2706,plain,
( join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15)))))
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))))),bind(Y,$fot(join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))))),bind(Z,$fot(join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15)))))))]]) ).
cnf(refute_0_2707,plain,
( join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15)))))
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15)))))) )],[refute_0_2701,refute_0_2707]) ).
cnf(refute_0_2709,plain,
( join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15)))))
| join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))))),bind(Y,$fot(join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))))),bind(Z,$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15))))))]]) ).
cnf(refute_0_2710,plain,
( join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15)))))) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_15,complement(join(X_14,meet(X_14,X_15))))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2684,refute_0_2710]) ).
cnf(refute_0_2712,plain,
( join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| meet(X_15,complement(meet(X_14,X_15))) != join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,complement(meet(X_14,X_15))),join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) ),[1],$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15)))))]]) ).
cnf(refute_0_2713,plain,
( meet(X_15,complement(meet(X_14,X_15))) != join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2711,refute_0_2712]) ).
cnf(refute_0_2714,plain,
( complement(join(complement(X_15),meet(X_14,X_15))) != join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))
| meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))) ),
inference(resolve,[$cnf( $equal(meet(X_15,complement(meet(X_14,X_15))),join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) )],[refute_0_2683,refute_0_2713]) ).
cnf(refute_0_2715,plain,
meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),meet(X_14,X_15))),join(complement(top),meet(complement(join(complement(X_15),meet(X_14,X_15))),complement(X_14)))) )],[refute_0_2680,refute_0_2714]) ).
cnf(refute_0_2716,plain,
join(X_14,meet(X_14,X_15)) = X_14,
inference(subst,[],[refute_0_1915:[bind(X_96,$fot(X_15)),bind(X_97,$fot(X_14))]]) ).
cnf(refute_0_2717,plain,
complement(join(X_14,meet(X_14,X_15))) = complement(join(X_14,meet(X_14,X_15))),
introduced(tautology,[refl,[$fot(complement(join(X_14,meet(X_14,X_15))))]]) ).
cnf(refute_0_2718,plain,
( complement(join(X_14,meet(X_14,X_15))) != complement(join(X_14,meet(X_14,X_15)))
| join(X_14,meet(X_14,X_15)) != X_14
| complement(join(X_14,meet(X_14,X_15))) = complement(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_14,meet(X_14,X_15))),complement(join(X_14,meet(X_14,X_15)))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_2719,plain,
( join(X_14,meet(X_14,X_15)) != X_14
| complement(join(X_14,meet(X_14,X_15))) = complement(X_14) ),
inference(resolve,[$cnf( $equal(complement(join(X_14,meet(X_14,X_15))),complement(join(X_14,meet(X_14,X_15)))) )],[refute_0_2717,refute_0_2718]) ).
cnf(refute_0_2720,plain,
complement(join(X_14,meet(X_14,X_15))) = complement(X_14),
inference(resolve,[$cnf( $equal(join(X_14,meet(X_14,X_15)),X_14) )],[refute_0_2716,refute_0_2719]) ).
cnf(refute_0_2721,plain,
meet(X_15,complement(join(X_14,meet(X_14,X_15)))) = meet(X_15,complement(join(X_14,meet(X_14,X_15)))),
introduced(tautology,[refl,[$fot(meet(X_15,complement(join(X_14,meet(X_14,X_15)))))]]) ).
cnf(refute_0_2722,plain,
( complement(join(X_14,meet(X_14,X_15))) != complement(X_14)
| meet(X_15,complement(join(X_14,meet(X_14,X_15)))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| meet(X_15,complement(join(X_14,meet(X_14,X_15)))) = meet(X_15,complement(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,complement(join(X_14,meet(X_14,X_15)))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) ),[1,1],$fot(complement(X_14))]]) ).
cnf(refute_0_2723,plain,
( complement(join(X_14,meet(X_14,X_15))) != complement(X_14)
| meet(X_15,complement(join(X_14,meet(X_14,X_15)))) = meet(X_15,complement(X_14)) ),
inference(resolve,[$cnf( $equal(meet(X_15,complement(join(X_14,meet(X_14,X_15)))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2721,refute_0_2722]) ).
cnf(refute_0_2724,plain,
meet(X_15,complement(join(X_14,meet(X_14,X_15)))) = meet(X_15,complement(X_14)),
inference(resolve,[$cnf( $equal(complement(join(X_14,meet(X_14,X_15))),complement(X_14)) )],[refute_0_2720,refute_0_2723]) ).
cnf(refute_0_2725,plain,
( meet(X_15,complement(join(X_14,meet(X_14,X_15)))) != meet(X_15,complement(X_14))
| meet(X_15,complement(meet(X_14,X_15))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,complement(meet(X_14,X_15))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) ),[1],$fot(meet(X_15,complement(X_14)))]]) ).
cnf(refute_0_2726,plain,
( meet(X_15,complement(meet(X_14,X_15))) != meet(X_15,complement(join(X_14,meet(X_14,X_15))))
| meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(X_14)) ),
inference(resolve,[$cnf( $equal(meet(X_15,complement(join(X_14,meet(X_14,X_15)))),meet(X_15,complement(X_14))) )],[refute_0_2724,refute_0_2725]) ).
cnf(refute_0_2727,plain,
meet(X_15,complement(meet(X_14,X_15))) = meet(X_15,complement(X_14)),
inference(resolve,[$cnf( $equal(meet(X_15,complement(meet(X_14,X_15))),meet(X_15,complement(join(X_14,meet(X_14,X_15))))) )],[refute_0_2715,refute_0_2726]) ).
cnf(refute_0_2728,plain,
meet(X_114,complement(meet(X_84,X_114))) = meet(X_114,complement(X_84)),
inference(subst,[],[refute_0_2727:[bind(X_14,$fot(X_84)),bind(X_15,$fot(X_114))]]) ).
cnf(refute_0_2729,plain,
meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) = meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))),
introduced(tautology,[refl,[$fot(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))]]) ).
cnf(refute_0_2730,plain,
( meet(X_114,complement(meet(X_84,X_114))) != meet(X_114,complement(X_84))
| meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) != meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))
| meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) = meet(complement(X_84),meet(X_114,complement(X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))),meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) ),[1,1],$fot(meet(X_114,complement(X_84)))]]) ).
cnf(refute_0_2731,plain,
( meet(X_114,complement(meet(X_84,X_114))) != meet(X_114,complement(X_84))
| meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) = meet(complement(X_84),meet(X_114,complement(X_84))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))),meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) )],[refute_0_2729,refute_0_2730]) ).
cnf(refute_0_2732,plain,
meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) = meet(complement(X_84),meet(X_114,complement(X_84))),
inference(resolve,[$cnf( $equal(meet(X_114,complement(meet(X_84,X_114))),meet(X_114,complement(X_84))) )],[refute_0_2728,refute_0_2731]) ).
cnf(refute_0_2733,plain,
complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) = complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))),
introduced(tautology,[refl,[$fot(complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))))]]) ).
cnf(refute_0_2734,plain,
( complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) != complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))
| meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) != meet(complement(X_84),meet(X_114,complement(X_84)))
| complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))),complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))) ),[1,0],$fot(meet(complement(X_84),meet(X_114,complement(X_84))))]]) ).
cnf(refute_0_2735,plain,
( meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))) != meet(complement(X_84),meet(X_114,complement(X_84)))
| complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))),complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))) )],[refute_0_2733,refute_0_2734]) ).
cnf(refute_0_2736,plain,
complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))),
inference(resolve,[$cnf( $equal(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))),meet(complement(X_84),meet(X_114,complement(X_84)))) )],[refute_0_2732,refute_0_2735]) ).
cnf(refute_0_2737,plain,
( complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))) != complement(meet(complement(X_84),meet(X_114,complement(X_84))))
| join(complement(X_114),meet(X_84,X_114)) != complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))
| join(complement(X_114),meet(X_84,X_114)) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))) ),[1],$fot(complement(meet(complement(X_84),meet(X_114,complement(X_84)))))]]) ).
cnf(refute_0_2738,plain,
( join(complement(X_114),meet(X_84,X_114)) != complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))
| join(complement(X_114),meet(X_84,X_114)) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114))))),complement(meet(complement(X_84),meet(X_114,complement(X_84))))) )],[refute_0_2736,refute_0_2737]) ).
cnf(refute_0_2739,plain,
join(complement(X_114),meet(X_84,X_114)) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),complement(meet(complement(X_84),meet(X_114,complement(meet(X_84,X_114)))))) )],[refute_0_2674,refute_0_2738]) ).
cnf(refute_0_2740,plain,
complement(meet(X_114,complement(X_84))) = join(complement(X_114),X_84),
inference(subst,[],[refute_0_979:[bind(X_187,$fot(X_114)),bind(X_188,$fot(X_84))]]) ).
cnf(refute_0_2741,plain,
complement(join(complement(X_64),meet(complement(X_307),X_64))) = join(complement(join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(join(complement(X_64),meet(complement(X_307),X_64)))),bind(X_99,$fot(X_307))]]) ).
cnf(refute_0_2742,plain,
top = join(complement(join(zero,complement(X1))),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),
inference(subst,[],[refute_0_271:[bind(X_14,$fot(join(zero,complement(X1)))),bind(X_15,$fot(X_64))]]) ).
cnf(refute_0_2743,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| top != join(complement(join(zero,complement(X1))),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| top = join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(zero,complement(X1))),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) ),[1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_2744,plain,
( top != join(complement(join(zero,complement(X1))),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| top = join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_1856,refute_0_2743]) ).
cnf(refute_0_2745,plain,
top = join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),
inference(resolve,[$cnf( $equal(top,join(complement(join(zero,complement(X1))),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) )],[refute_0_2742,refute_0_2744]) ).
cnf(refute_0_2746,plain,
join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) = join(X1,join(complement(X_64),meet(complement(X1),X_64))),
inference(subst,[],[refute_0_1877:[bind(X2,$fot(join(complement(X_64),meet(complement(X1),X_64)))),bind(X_85,$fot(X1))]]) ).
cnf(refute_0_2747,plain,
meet(join(zero,complement(X1)),X_64) = meet(join(zero,complement(X1)),X_64),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_64))]]) ).
cnf(refute_0_2748,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_64) != meet(join(zero,complement(X1)),X_64)
| meet(join(zero,complement(X1)),X_64) = meet(complement(X1),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_64),meet(join(zero,complement(X1)),X_64)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_2749,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_64) = meet(complement(X1),X_64) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_64),meet(join(zero,complement(X1)),X_64)) )],[refute_0_2747,refute_0_2748]) ).
cnf(refute_0_2750,plain,
meet(join(zero,complement(X1)),X_64) = meet(complement(X1),X_64),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_198,refute_0_2749]) ).
cnf(refute_0_2751,plain,
join(complement(X_64),meet(join(zero,complement(X1)),X_64)) = join(complement(X_64),meet(join(zero,complement(X1)),X_64)),
introduced(tautology,[refl,[$fot(join(complement(X_64),meet(join(zero,complement(X1)),X_64)))]]) ).
cnf(refute_0_2752,plain,
( join(complement(X_64),meet(join(zero,complement(X1)),X_64)) != join(complement(X_64),meet(join(zero,complement(X1)),X_64))
| meet(join(zero,complement(X1)),X_64) != meet(complement(X1),X_64)
| join(complement(X_64),meet(join(zero,complement(X1)),X_64)) = join(complement(X_64),meet(complement(X1),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_64),meet(join(zero,complement(X1)),X_64)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) ),[1,1],$fot(meet(complement(X1),X_64))]]) ).
cnf(refute_0_2753,plain,
( meet(join(zero,complement(X1)),X_64) != meet(complement(X1),X_64)
| join(complement(X_64),meet(join(zero,complement(X1)),X_64)) = join(complement(X_64),meet(complement(X1),X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),meet(join(zero,complement(X1)),X_64)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) )],[refute_0_2751,refute_0_2752]) ).
cnf(refute_0_2754,plain,
join(complement(X_64),meet(join(zero,complement(X1)),X_64)) = join(complement(X_64),meet(complement(X1),X_64)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_64),meet(complement(X1),X_64)) )],[refute_0_2750,refute_0_2753]) ).
cnf(refute_0_2755,plain,
join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),
introduced(tautology,[refl,[$fot(join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))))]]) ).
cnf(refute_0_2756,plain,
( join(complement(X_64),meet(join(zero,complement(X1)),X_64)) != join(complement(X_64),meet(complement(X1),X_64))
| join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) ),[1,1],$fot(join(complement(X_64),meet(complement(X1),X_64)))]]) ).
cnf(refute_0_2757,plain,
( join(complement(X_64),meet(join(zero,complement(X1)),X_64)) != join(complement(X_64),meet(complement(X1),X_64))
| join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))),
inference(resolve,[$cnf( $equal(join(complement(X_64),meet(join(zero,complement(X1)),X_64)),join(complement(X_64),meet(complement(X1),X_64))) )],[refute_0_2754,refute_0_2757]) ).
cnf(refute_0_2759,plain,
join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),
introduced(tautology,[refl,[$fot(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))))]]) ).
cnf(refute_0_2760,plain,
( join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| meet(top,X1) != complement(complement(X1))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) ),[1,0],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_2761,plain,
( meet(top,X1) != complement(complement(X1))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) )],[refute_0_2759,refute_0_2760]) ).
cnf(refute_0_2762,plain,
join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_205,refute_0_2761]) ).
cnf(refute_0_2763,plain,
( join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64)))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))))),bind(Y,$fot(join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))))),bind(Z,$fot(join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64)))))]]) ).
cnf(refute_0_2764,plain,
( join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64)))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) )],[refute_0_2762,refute_0_2763]) ).
cnf(refute_0_2765,plain,
join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64)))) )],[refute_0_2758,refute_0_2764]) ).
cnf(refute_0_2766,plain,
( join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) != join(X1,join(complement(X_64),meet(complement(X1),X_64)))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64)))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(X1,join(complement(X_64),meet(complement(X1),X_64))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))))),bind(Y,$fot(join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))))),bind(Z,$fot(join(X1,join(complement(X_64),meet(complement(X1),X_64)))))]]) ).
cnf(refute_0_2767,plain,
( join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))) != join(X1,join(complement(X_64),meet(complement(X1),X_64)))
| join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(X1,join(complement(X_64),meet(complement(X1),X_64))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64)))) )],[refute_0_2765,refute_0_2766]) ).
cnf(refute_0_2768,plain,
join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) = join(X1,join(complement(X_64),meet(complement(X1),X_64))),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(complement(X_64),meet(complement(X1),X_64))),join(X1,join(complement(X_64),meet(complement(X1),X_64)))) )],[refute_0_2746,refute_0_2767]) ).
cnf(refute_0_2769,plain,
( join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))) != join(X1,join(complement(X_64),meet(complement(X1),X_64)))
| top != join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| top = join(X1,join(complement(X_64),meet(complement(X1),X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) ),[1],$fot(join(X1,join(complement(X_64),meet(complement(X1),X_64))))]]) ).
cnf(refute_0_2770,plain,
( top != join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))
| top = join(X1,join(complement(X_64),meet(complement(X1),X_64))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64))),join(X1,join(complement(X_64),meet(complement(X1),X_64)))) )],[refute_0_2768,refute_0_2769]) ).
cnf(refute_0_2771,plain,
top = join(X1,join(complement(X_64),meet(complement(X1),X_64))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X1),join(complement(X_64),meet(join(zero,complement(X1)),X_64)))) )],[refute_0_2745,refute_0_2770]) ).
cnf(refute_0_2772,plain,
top = join(X_307,join(complement(X_64),meet(complement(X_307),X_64))),
inference(subst,[],[refute_0_2771:[bind(X1,$fot(X_307))]]) ).
cnf(refute_0_2773,plain,
( top != join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))
| join(X_307,join(complement(X_64),meet(complement(X_307),X_64))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))))]]) ).
cnf(refute_0_2774,plain,
join(X_307,join(complement(X_64),meet(complement(X_307),X_64))) = top,
inference(resolve,[$cnf( $equal(top,join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))) )],[refute_0_2772,refute_0_2773]) ).
cnf(refute_0_2775,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != join(complement(join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| join(X_307,join(complement(X_64),meet(complement(X_307),X_64))) != top
| complement(join(complement(X_64),meet(complement(X_307),X_64))) = join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_64),meet(complement(X_307),X_64))),join(complement(join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2776,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != join(complement(join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| complement(join(complement(X_64),meet(complement(X_307),X_64))) = join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) ),
inference(resolve,[$cnf( $equal(join(X_307,join(complement(X_64),meet(complement(X_307),X_64))),top) )],[refute_0_2774,refute_0_2775]) ).
cnf(refute_0_2777,plain,
complement(join(complement(X_64),meet(complement(X_307),X_64))) = join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_64),meet(complement(X_307),X_64))),join(complement(join(X_307,join(complement(X_64),meet(complement(X_307),X_64)))),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) )],[refute_0_2741,refute_0_2776]) ).
cnf(refute_0_2778,plain,
complement(join(complement(X_64),meet(complement(X_307),X_64))) = meet(X_64,complement(meet(complement(X_307),X_64))),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(X_64)),bind(X_180,$fot(meet(complement(X_307),X_64)))]]) ).
cnf(refute_0_2779,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| complement(join(complement(X_64),meet(complement(X_307),X_64))) != meet(X_64,complement(meet(complement(X_307),X_64)))
| meet(X_64,complement(meet(complement(X_307),X_64))) = join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_64),meet(complement(X_307),X_64))),join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) ),[0],$fot(meet(X_64,complement(meet(complement(X_307),X_64))))]]) ).
cnf(refute_0_2780,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| meet(X_64,complement(meet(complement(X_307),X_64))) = join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_64),meet(complement(X_307),X_64))),meet(X_64,complement(meet(complement(X_307),X_64)))) )],[refute_0_2778,refute_0_2779]) ).
cnf(refute_0_2781,plain,
join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))))]]) ).
cnf(refute_0_2782,plain,
meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) = meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))),
introduced(tautology,[refl,[$fot(meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))))]]) ).
cnf(refute_0_2783,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != meet(X_64,complement(meet(complement(X_307),X_64)))
| meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) != meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64))))
| meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))),meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64))))) ),[1,1],$fot(meet(X_64,complement(meet(complement(X_307),X_64))))]]) ).
cnf(refute_0_2784,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != meet(X_64,complement(meet(complement(X_307),X_64)))
| meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))),meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64))))) )],[refute_0_2782,refute_0_2783]) ).
cnf(refute_0_2785,plain,
meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_64),meet(complement(X_307),X_64))),meet(X_64,complement(meet(complement(X_307),X_64)))) )],[refute_0_2778,refute_0_2784]) ).
cnf(refute_0_2786,plain,
meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) = meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(X_307)),bind(X_15,$fot(complement(join(complement(X_64),meet(complement(X_307),X_64)))))]]) ).
cnf(refute_0_2787,plain,
( meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) != meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64))))
| meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))),bind(Y,$fot(meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))))),bind(Z,$fot(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))))]]) ).
cnf(refute_0_2788,plain,
( meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307),meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64))))) )],[refute_0_2786,refute_0_2787]) ).
cnf(refute_0_2789,plain,
meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(complement(X_64),meet(complement(X_307),X_64)))),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2785,refute_0_2788]) ).
cnf(refute_0_2790,plain,
join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)))]]) ).
cnf(refute_0_2791,plain,
( join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) ),[1,1],$fot(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))]]) ).
cnf(refute_0_2792,plain,
( meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) )],[refute_0_2790,refute_0_2791]) ).
cnf(refute_0_2793,plain,
join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2789,refute_0_2792]) ).
cnf(refute_0_2794,plain,
join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)))]]) ).
cnf(refute_0_2795,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2796,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) )],[refute_0_2794,refute_0_2795]) ).
cnf(refute_0_2797,plain,
join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_2796]) ).
cnf(refute_0_2798,plain,
( join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)))),bind(Y,$fot(join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)))),bind(Z,$fot(join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))))]]) ).
cnf(refute_0_2799,plain,
( join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) )],[refute_0_2797,refute_0_2798]) ).
cnf(refute_0_2800,plain,
join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))) )],[refute_0_2793,refute_0_2799]) ).
cnf(refute_0_2801,plain,
( join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))
| join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)))),bind(Y,$fot(join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))))),bind(Z,$fot(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))))]]) ).
cnf(refute_0_2802,plain,
( join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))) )],[refute_0_2800,refute_0_2801]) ).
cnf(refute_0_2803,plain,
join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2781,refute_0_2802]) ).
cnf(refute_0_2804,plain,
( join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,complement(meet(complement(X_307),X_64))) != join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) ),[1],$fot(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))]]) ).
cnf(refute_0_2805,plain,
( meet(X_64,complement(meet(complement(X_307),X_64))) != join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307)),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2803,refute_0_2804]) ).
cnf(refute_0_2806,plain,
( complement(join(complement(X_64),meet(complement(X_307),X_64))) != join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))
| meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(resolve,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) )],[refute_0_2780,refute_0_2805]) ).
cnf(refute_0_2807,plain,
meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_64),meet(complement(X_307),X_64))),join(complement(top),meet(complement(join(complement(X_64),meet(complement(X_307),X_64))),X_307))) )],[refute_0_2777,refute_0_2806]) ).
cnf(refute_0_2808,plain,
complement(complement(X_307)) = X_307,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_307))]]) ).
cnf(refute_0_2809,plain,
meet(X_64,complement(complement(X_307))) = meet(X_64,complement(complement(X_307))),
introduced(tautology,[refl,[$fot(meet(X_64,complement(complement(X_307))))]]) ).
cnf(refute_0_2810,plain,
( complement(complement(X_307)) != X_307
| meet(X_64,complement(complement(X_307))) != meet(X_64,complement(complement(X_307)))
| meet(X_64,complement(complement(X_307))) = meet(X_64,X_307) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_64,complement(complement(X_307))),meet(X_64,complement(complement(X_307)))) ),[1,1],$fot(X_307)]]) ).
cnf(refute_0_2811,plain,
( complement(complement(X_307)) != X_307
| meet(X_64,complement(complement(X_307))) = meet(X_64,X_307) ),
inference(resolve,[$cnf( $equal(meet(X_64,complement(complement(X_307))),meet(X_64,complement(complement(X_307)))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
meet(X_64,complement(complement(X_307))) = meet(X_64,X_307),
inference(resolve,[$cnf( $equal(complement(complement(X_307)),X_307) )],[refute_0_2808,refute_0_2811]) ).
cnf(refute_0_2813,plain,
meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_64,complement(complement(X_307))),
inference(subst,[],[refute_0_2727:[bind(X_14,$fot(complement(X_307))),bind(X_15,$fot(X_64))]]) ).
cnf(refute_0_2814,plain,
( meet(X_64,complement(complement(X_307))) != meet(X_64,X_307)
| meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_64,complement(complement(X_307)))
| meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_64,X_307) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(X_64,complement(meet(complement(X_307),X_64))))),bind(Y,$fot(meet(X_64,complement(complement(X_307))))),bind(Z,$fot(meet(X_64,X_307)))]]) ).
cnf(refute_0_2815,plain,
( meet(X_64,complement(complement(X_307))) != meet(X_64,X_307)
| meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_64,X_307) ),
inference(resolve,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),meet(X_64,complement(complement(X_307)))) )],[refute_0_2813,refute_0_2814]) ).
cnf(refute_0_2816,plain,
meet(X_64,complement(meet(complement(X_307),X_64))) = meet(X_64,X_307),
inference(resolve,[$cnf( $equal(meet(X_64,complement(complement(X_307))),meet(X_64,X_307)) )],[refute_0_2812,refute_0_2815]) ).
cnf(refute_0_2817,plain,
( meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_64,X_307)
| meet(X_64,X_307) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),[0],$fot(meet(X_64,X_307))]]) ).
cnf(refute_0_2818,plain,
( meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,X_307) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) ),
inference(resolve,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),meet(X_64,X_307)) )],[refute_0_2816,refute_0_2817]) ).
cnf(refute_0_2819,plain,
meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),
introduced(tautology,[refl,[$fot(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))))]]) ).
cnf(refute_0_2820,plain,
( meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_64,X_307)
| meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),[1,1],$fot(meet(X_64,X_307))]]) ).
cnf(refute_0_2821,plain,
( meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_64,X_307)
| meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,X_307)) ),
inference(resolve,[$cnf( $equal(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2819,refute_0_2820]) ).
cnf(refute_0_2822,plain,
meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) = meet(X_307,meet(X_64,X_307)),
inference(resolve,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),meet(X_64,X_307)) )],[refute_0_2816,refute_0_2821]) ).
cnf(refute_0_2823,plain,
( meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))) != meet(X_307,meet(X_64,X_307))
| meet(X_64,X_307) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,X_307) = meet(X_307,meet(X_64,X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_64,X_307),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) ),[1],$fot(meet(X_307,meet(X_64,X_307)))]]) ).
cnf(refute_0_2824,plain,
( meet(X_64,X_307) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,X_307) = meet(X_307,meet(X_64,X_307)) ),
inference(resolve,[$cnf( $equal(meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64)))),meet(X_307,meet(X_64,X_307))) )],[refute_0_2822,refute_0_2823]) ).
cnf(refute_0_2825,plain,
( meet(X_64,complement(meet(complement(X_307),X_64))) != meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))
| meet(X_64,X_307) = meet(X_307,meet(X_64,X_307)) ),
inference(resolve,[$cnf( $equal(meet(X_64,X_307),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2818,refute_0_2824]) ).
cnf(refute_0_2826,plain,
meet(X_64,X_307) = meet(X_307,meet(X_64,X_307)),
inference(resolve,[$cnf( $equal(meet(X_64,complement(meet(complement(X_307),X_64))),meet(X_307,meet(X_64,complement(meet(complement(X_307),X_64))))) )],[refute_0_2807,refute_0_2825]) ).
cnf(refute_0_2827,plain,
( meet(X_64,X_307) != meet(X_307,meet(X_64,X_307))
| meet(X_307,meet(X_64,X_307)) = meet(X_64,X_307) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_64,X_307))),bind(Y,$fot(meet(X_307,meet(X_64,X_307))))]]) ).
cnf(refute_0_2828,plain,
meet(X_307,meet(X_64,X_307)) = meet(X_64,X_307),
inference(resolve,[$cnf( $equal(meet(X_64,X_307),meet(X_307,meet(X_64,X_307))) )],[refute_0_2826,refute_0_2827]) ).
cnf(refute_0_2829,plain,
meet(complement(X_84),meet(X_114,complement(X_84))) = meet(X_114,complement(X_84)),
inference(subst,[],[refute_0_2828:[bind(X_307,$fot(complement(X_84))),bind(X_64,$fot(X_114))]]) ).
cnf(refute_0_2830,plain,
complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = complement(meet(complement(X_84),meet(X_114,complement(X_84)))),
introduced(tautology,[refl,[$fot(complement(meet(complement(X_84),meet(X_114,complement(X_84)))))]]) ).
cnf(refute_0_2831,plain,
( complement(meet(complement(X_84),meet(X_114,complement(X_84)))) != complement(meet(complement(X_84),meet(X_114,complement(X_84))))
| meet(complement(X_84),meet(X_114,complement(X_84))) != meet(X_114,complement(X_84))
| complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = complement(meet(X_114,complement(X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(X_84)))),complement(meet(complement(X_84),meet(X_114,complement(X_84))))) ),[1,0],$fot(meet(X_114,complement(X_84)))]]) ).
cnf(refute_0_2832,plain,
( meet(complement(X_84),meet(X_114,complement(X_84))) != meet(X_114,complement(X_84))
| complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = complement(meet(X_114,complement(X_84))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(X_84)))),complement(meet(complement(X_84),meet(X_114,complement(X_84))))) )],[refute_0_2830,refute_0_2831]) ).
cnf(refute_0_2833,plain,
complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = complement(meet(X_114,complement(X_84))),
inference(resolve,[$cnf( $equal(meet(complement(X_84),meet(X_114,complement(X_84))),meet(X_114,complement(X_84))) )],[refute_0_2829,refute_0_2832]) ).
cnf(refute_0_2834,plain,
( complement(meet(X_114,complement(X_84))) != join(complement(X_114),X_84)
| complement(meet(complement(X_84),meet(X_114,complement(X_84)))) != complement(meet(X_114,complement(X_84)))
| complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = join(complement(X_114),X_84) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(meet(complement(X_84),meet(X_114,complement(X_84)))))),bind(Y,$fot(complement(meet(X_114,complement(X_84))))),bind(Z,$fot(join(complement(X_114),X_84)))]]) ).
cnf(refute_0_2835,plain,
( complement(meet(X_114,complement(X_84))) != join(complement(X_114),X_84)
| complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = join(complement(X_114),X_84) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(X_84)))),complement(meet(X_114,complement(X_84)))) )],[refute_0_2833,refute_0_2834]) ).
cnf(refute_0_2836,plain,
complement(meet(complement(X_84),meet(X_114,complement(X_84)))) = join(complement(X_114),X_84),
inference(resolve,[$cnf( $equal(complement(meet(X_114,complement(X_84))),join(complement(X_114),X_84)) )],[refute_0_2740,refute_0_2835]) ).
cnf(refute_0_2837,plain,
( complement(meet(complement(X_84),meet(X_114,complement(X_84)))) != join(complement(X_114),X_84)
| join(complement(X_114),meet(X_84,X_114)) != complement(meet(complement(X_84),meet(X_114,complement(X_84))))
| join(complement(X_114),meet(X_84,X_114)) = join(complement(X_114),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),complement(meet(complement(X_84),meet(X_114,complement(X_84))))) ),[1],$fot(join(complement(X_114),X_84))]]) ).
cnf(refute_0_2838,plain,
( join(complement(X_114),meet(X_84,X_114)) != complement(meet(complement(X_84),meet(X_114,complement(X_84))))
| join(complement(X_114),meet(X_84,X_114)) = join(complement(X_114),X_84) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_84),meet(X_114,complement(X_84)))),join(complement(X_114),X_84)) )],[refute_0_2836,refute_0_2837]) ).
cnf(refute_0_2839,plain,
join(complement(X_114),meet(X_84,X_114)) = join(complement(X_114),X_84),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_84,X_114)),complement(meet(complement(X_84),meet(X_114,complement(X_84))))) )],[refute_0_2739,refute_0_2838]) ).
cnf(refute_0_2840,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2839:[bind(X_114,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_84,$fot(complement(converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2841,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))) != complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2842,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))) != complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))),join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_2840,refute_0_2841]) ).
cnf(refute_0_2843,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))),complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_2586,refute_0_2842]) ).
cnf(refute_0_2844,plain,
( complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) != complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2845,plain,
( complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))),complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_2843,refute_0_2844]) ).
cnf(refute_0_2846,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(meet(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0)))),converse(skolemFOFtoCNF_X0)) )],[refute_0_2585,refute_0_2845]) ).
cnf(refute_0_2847,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))) != converse(skolemFOFtoCNF_X0)
| complement(converse(complement(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2848,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0)))),converse(skolemFOFtoCNF_X0)) )],[refute_0_2846,refute_0_2847]) ).
cnf(refute_0_2849,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2571,refute_0_2848]) ).
cnf(refute_0_2850,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| converse(complement(skolemFOFtoCNF_X0)) != complement(complement(converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2851,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(complement(converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_2849,refute_0_2850]) ).
cnf(refute_0_2852,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_2543,refute_0_2851]) ).
cnf(refute_0_2853,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) ),[0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2854,plain,
( converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_2853]) ).
cnf(refute_0_2855,plain,
converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2542,refute_0_2854]) ).
cnf(refute_0_2856,plain,
meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2857,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2858,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2856,refute_0_2857]) ).
cnf(refute_0_2859,plain,
meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2855,refute_0_2858]) ).
cnf(refute_0_2860,plain,
( meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(skolemFOFtoCNF_X0)) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2861,plain,
( meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2541,refute_0_2861]) ).
cnf(refute_0_2863,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2864,plain,
converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2862,refute_0_2863]) ).
cnf(refute_0_2865,plain,
( converse(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2866,plain,
( converse(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_2864,refute_0_2865]) ).
cnf(refute_0_2867,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2068,refute_0_2866]) ).
cnf(refute_0_2868,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2869,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2867,refute_0_2868]) ).
cnf(refute_0_2870,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2871,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2869,refute_0_2870]) ).
cnf(refute_0_2872,plain,
meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2067,refute_0_2871]) ).
cnf(refute_0_2873,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2874,plain,
meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2872,refute_0_2873]) ).
cnf(refute_0_2875,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1,1],$fot(meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2876,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2874,refute_0_2875]) ).
cnf(refute_0_2877,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_1964,refute_0_2876]) ).
cnf(refute_0_2878,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(X_15,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2879,plain,
join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2880,plain,
join(complement(X_454),meet(X_454,X_83)) = join(join(complement(X_454),meet(X_454,X_83)),meet(X_83,join(complement(X_454),meet(X_454,X_83)))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(join(complement(X_454),meet(X_454,X_83))))]]) ).
cnf(refute_0_2881,plain,
X_83 = meet(X_83,join(complement(X_454),meet(X_454,X_83))),
inference(subst,[],[refute_0_1963:[bind(X_63,$fot(X_454))]]) ).
cnf(refute_0_2882,plain,
( X_83 != meet(X_83,join(complement(X_454),meet(X_454,X_83)))
| meet(X_83,join(complement(X_454),meet(X_454,X_83))) = X_83 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_83)),bind(Y,$fot(meet(X_83,join(complement(X_454),meet(X_454,X_83)))))]]) ).
cnf(refute_0_2883,plain,
meet(X_83,join(complement(X_454),meet(X_454,X_83))) = X_83,
inference(resolve,[$cnf( $equal(X_83,meet(X_83,join(complement(X_454),meet(X_454,X_83)))) )],[refute_0_2881,refute_0_2882]) ).
cnf(refute_0_2884,plain,
( join(complement(X_454),meet(X_454,X_83)) != join(join(complement(X_454),meet(X_454,X_83)),meet(X_83,join(complement(X_454),meet(X_454,X_83))))
| meet(X_83,join(complement(X_454),meet(X_454,X_83))) != X_83
| join(complement(X_454),meet(X_454,X_83)) = join(join(complement(X_454),meet(X_454,X_83)),X_83) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_454),meet(X_454,X_83)),join(join(complement(X_454),meet(X_454,X_83)),meet(X_83,join(complement(X_454),meet(X_454,X_83))))) ),[1,1],$fot(X_83)]]) ).
cnf(refute_0_2885,plain,
( join(complement(X_454),meet(X_454,X_83)) != join(join(complement(X_454),meet(X_454,X_83)),meet(X_83,join(complement(X_454),meet(X_454,X_83))))
| join(complement(X_454),meet(X_454,X_83)) = join(join(complement(X_454),meet(X_454,X_83)),X_83) ),
inference(resolve,[$cnf( $equal(meet(X_83,join(complement(X_454),meet(X_454,X_83))),X_83) )],[refute_0_2883,refute_0_2884]) ).
cnf(refute_0_2886,plain,
join(complement(X_454),meet(X_454,X_83)) = join(join(complement(X_454),meet(X_454,X_83)),X_83),
inference(resolve,[$cnf( $equal(join(complement(X_454),meet(X_454,X_83)),join(join(complement(X_454),meet(X_454,X_83)),meet(X_83,join(complement(X_454),meet(X_454,X_83))))) )],[refute_0_2880,refute_0_2885]) ).
cnf(refute_0_2887,plain,
join(meet(X_389,X_26),join(X_25,X_26)) = join(X_25,join(X_26,meet(X_389,X_26))),
inference(subst,[],[refute_0_421:[bind(X0,$fot(meet(X_389,X_26)))]]) ).
cnf(refute_0_2888,plain,
X_26 = join(X_26,meet(X_389,X_26)),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(X_26)),bind(X_83,$fot(X_389))]]) ).
cnf(refute_0_2889,plain,
( X_26 != join(X_26,meet(X_389,X_26))
| join(X_26,meet(X_389,X_26)) = X_26 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_26)),bind(Y,$fot(join(X_26,meet(X_389,X_26))))]]) ).
cnf(refute_0_2890,plain,
join(X_26,meet(X_389,X_26)) = X_26,
inference(resolve,[$cnf( $equal(X_26,join(X_26,meet(X_389,X_26))) )],[refute_0_2888,refute_0_2889]) ).
cnf(refute_0_2891,plain,
( join(X_26,meet(X_389,X_26)) != X_26
| join(meet(X_389,X_26),join(X_25,X_26)) != join(X_25,join(X_26,meet(X_389,X_26)))
| join(meet(X_389,X_26),join(X_25,X_26)) = join(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_389,X_26),join(X_25,X_26)),join(X_25,join(X_26,meet(X_389,X_26)))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_2892,plain,
( join(meet(X_389,X_26),join(X_25,X_26)) != join(X_25,join(X_26,meet(X_389,X_26)))
| join(meet(X_389,X_26),join(X_25,X_26)) = join(X_25,X_26) ),
inference(resolve,[$cnf( $equal(join(X_26,meet(X_389,X_26)),X_26) )],[refute_0_2890,refute_0_2891]) ).
cnf(refute_0_2893,plain,
join(meet(X_389,X_26),join(X_25,X_26)) = join(X_25,X_26),
inference(resolve,[$cnf( $equal(join(meet(X_389,X_26),join(X_25,X_26)),join(X_25,join(X_26,meet(X_389,X_26)))) )],[refute_0_2887,refute_0_2892]) ).
cnf(refute_0_2894,plain,
join(meet(X_389,X_26),join(X_25,X_26)) = join(X_26,join(X_25,meet(X_389,X_26))),
inference(subst,[],[refute_0_2641:[bind(X_25,$fot(X_26)),bind(X_26,$fot(X_25)),bind(X_27,$fot(meet(X_389,X_26)))]]) ).
cnf(refute_0_2895,plain,
( join(meet(X_389,X_26),join(X_25,X_26)) != join(X_25,X_26)
| join(meet(X_389,X_26),join(X_25,X_26)) != join(X_26,join(X_25,meet(X_389,X_26)))
| join(X_26,join(X_25,meet(X_389,X_26))) = join(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_389,X_26),join(X_25,X_26)),join(X_25,X_26)) ),[0],$fot(join(X_26,join(X_25,meet(X_389,X_26))))]]) ).
cnf(refute_0_2896,plain,
( join(meet(X_389,X_26),join(X_25,X_26)) != join(X_25,X_26)
| join(X_26,join(X_25,meet(X_389,X_26))) = join(X_25,X_26) ),
inference(resolve,[$cnf( $equal(join(meet(X_389,X_26),join(X_25,X_26)),join(X_26,join(X_25,meet(X_389,X_26)))) )],[refute_0_2894,refute_0_2895]) ).
cnf(refute_0_2897,plain,
join(X_26,join(X_25,meet(X_389,X_26))) = join(X_25,X_26),
inference(resolve,[$cnf( $equal(join(meet(X_389,X_26),join(X_25,X_26)),join(X_25,X_26)) )],[refute_0_2893,refute_0_2896]) ).
cnf(refute_0_2898,plain,
join(X_83,join(complement(X_454),meet(X_454,X_83))) = join(complement(X_454),X_83),
inference(subst,[],[refute_0_2897:[bind(X_25,$fot(complement(X_454))),bind(X_26,$fot(X_83)),bind(X_389,$fot(X_454))]]) ).
cnf(refute_0_2899,plain,
join(join(complement(X_454),meet(X_454,X_83)),X_83) = join(X_83,join(complement(X_454),meet(X_454,X_83))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_83)),bind(X_124,$fot(join(complement(X_454),meet(X_454,X_83))))]]) ).
cnf(refute_0_2900,plain,
( join(X_83,join(complement(X_454),meet(X_454,X_83))) != join(complement(X_454),X_83)
| join(join(complement(X_454),meet(X_454,X_83)),X_83) != join(X_83,join(complement(X_454),meet(X_454,X_83)))
| join(join(complement(X_454),meet(X_454,X_83)),X_83) = join(complement(X_454),X_83) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(complement(X_454),meet(X_454,X_83)),X_83))),bind(Y,$fot(join(X_83,join(complement(X_454),meet(X_454,X_83))))),bind(Z,$fot(join(complement(X_454),X_83)))]]) ).
cnf(refute_0_2901,plain,
( join(X_83,join(complement(X_454),meet(X_454,X_83))) != join(complement(X_454),X_83)
| join(join(complement(X_454),meet(X_454,X_83)),X_83) = join(complement(X_454),X_83) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_454),meet(X_454,X_83)),X_83),join(X_83,join(complement(X_454),meet(X_454,X_83)))) )],[refute_0_2899,refute_0_2900]) ).
cnf(refute_0_2902,plain,
join(join(complement(X_454),meet(X_454,X_83)),X_83) = join(complement(X_454),X_83),
inference(resolve,[$cnf( $equal(join(X_83,join(complement(X_454),meet(X_454,X_83))),join(complement(X_454),X_83)) )],[refute_0_2898,refute_0_2901]) ).
cnf(refute_0_2903,plain,
( join(complement(X_454),meet(X_454,X_83)) != join(join(complement(X_454),meet(X_454,X_83)),X_83)
| join(join(complement(X_454),meet(X_454,X_83)),X_83) != join(complement(X_454),X_83)
| join(complement(X_454),meet(X_454,X_83)) = join(complement(X_454),X_83) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_454),meet(X_454,X_83)),join(complement(X_454),X_83)) ),[0],$fot(join(join(complement(X_454),meet(X_454,X_83)),X_83))]]) ).
cnf(refute_0_2904,plain,
( join(complement(X_454),meet(X_454,X_83)) != join(join(complement(X_454),meet(X_454,X_83)),X_83)
| join(complement(X_454),meet(X_454,X_83)) = join(complement(X_454),X_83) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_454),meet(X_454,X_83)),X_83),join(complement(X_454),X_83)) )],[refute_0_2902,refute_0_2903]) ).
cnf(refute_0_2905,plain,
join(complement(X_454),meet(X_454,X_83)) = join(complement(X_454),X_83),
inference(resolve,[$cnf( $equal(join(complement(X_454),meet(X_454,X_83)),join(join(complement(X_454),meet(X_454,X_83)),X_83)) )],[refute_0_2886,refute_0_2904]) ).
cnf(refute_0_2906,plain,
join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2905:[bind(X_454,$fot(skolemFOFtoCNF_X0)),bind(X_83,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2907,plain,
( join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2908,plain,
( join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2906,refute_0_2907]) ).
cnf(refute_0_2909,plain,
join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2879,refute_0_2908]) ).
cnf(refute_0_2910,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2911,plain,
( join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2912,plain,
( join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2910,refute_0_2911]) ).
cnf(refute_0_2913,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2909,refute_0_2912]) ).
cnf(refute_0_2914,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2915,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2878,refute_0_2915]) ).
cnf(refute_0_2917,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2918,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2916,refute_0_2917]) ).
cnf(refute_0_2919,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2877,refute_0_2918]) ).
cnf(refute_0_2920,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2921,plain,
meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_2919,refute_0_2920]) ).
cnf(refute_0_2922,plain,
( join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[0,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2923,plain,
( join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2921,refute_0_2922]) ).
cnf(refute_0_2924,plain,
join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1916,refute_0_2923]) ).
cnf(refute_0_2925,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2926,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_2924,refute_0_2925]) ).
cnf(refute_0_2927,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(join(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_1902,refute_0_2926]) ).
cnf(refute_0_2928,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_20,$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2929,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2930,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2928,refute_0_2929]) ).
cnf(refute_0_2931,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_2927,refute_0_2930]) ).
cnf(refute_0_2932,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2933,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_2931,refute_0_2932]) ).
cnf(refute_0_2934,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1901,refute_0_2933]) ).
cnf(refute_0_2935,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_2936,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1787,refute_0_2935]) ).
cnf(refute_0_2937,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15) = meet(X_15,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2938,plain,
meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(join(complement(X_178),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(subst,[],[refute_0_192:[bind(X0,$fot(X_178)),bind(X_14,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_15,$fot(join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_2939,plain,
X_83 = join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139)))))),
inference(subst,[],[refute_0_811:[bind(X_84,$fot(join(X_139,complement(join(complement(X_83),X_139)))))]]) ).
cnf(refute_0_2940,plain,
top = join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139)))),
inference(subst,[],[refute_0_1974:[bind(X_25,$fot(complement(X_83))),bind(X_26,$fot(X_139))]]) ).
cnf(refute_0_2941,plain,
( top != join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))
| join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))))]]) ).
cnf(refute_0_2942,plain,
join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))) )],[refute_0_2940,refute_0_2941]) ).
cnf(refute_0_2943,plain,
( X_83 != join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))))
| join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139)))) != top
| X_83 = join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2944,plain,
( X_83 != join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))))
| X_83 = join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139)))),top) )],[refute_0_2942,refute_0_2943]) ).
cnf(refute_0_2945,plain,
X_83 = join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)),
inference(resolve,[$cnf( $equal(X_83,join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(join(complement(X_83),join(X_139,complement(join(complement(X_83),X_139))))))) )],[refute_0_2939,refute_0_2944]) ).
cnf(refute_0_2946,plain,
join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))))]]) ).
cnf(refute_0_2947,plain,
meet(join(X_139,complement(join(complement(X_83),X_139))),X_83) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(X_83)),bind(X_15,$fot(join(X_139,complement(join(complement(X_83),X_139)))))]]) ).
cnf(refute_0_2948,plain,
join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))]]) ).
cnf(refute_0_2949,plain,
( join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))
| meet(join(X_139,complement(join(complement(X_83),X_139))),X_83) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))) ),[1,1],$fot(meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))]]) ).
cnf(refute_0_2950,plain,
( meet(join(X_139,complement(join(complement(X_83),X_139))),X_83) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))) )],[refute_0_2948,refute_0_2949]) ).
cnf(refute_0_2951,plain,
join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))),
inference(resolve,[$cnf( $equal(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) )],[refute_0_2947,refute_0_2950]) ).
cnf(refute_0_2952,plain,
join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))]]) ).
cnf(refute_0_2953,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2954,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))) )],[refute_0_2952,refute_0_2953]) ).
cnf(refute_0_2955,plain,
join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_2954]) ).
cnf(refute_0_2956,plain,
( join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))
| join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))),bind(Y,$fot(join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))),bind(Z,$fot(join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))))]]) ).
cnf(refute_0_2957,plain,
( join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))) )],[refute_0_2955,refute_0_2956]) ).
cnf(refute_0_2958,plain,
join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))) )],[refute_0_2951,refute_0_2957]) ).
cnf(refute_0_2959,plain,
( join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))
| join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))),bind(Y,$fot(join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))))),bind(Z,$fot(meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))))]]) ).
cnf(refute_0_2960,plain,
( join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))))) )],[refute_0_2958,refute_0_2959]) ).
cnf(refute_0_2961,plain,
join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))),meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) )],[refute_0_2946,refute_0_2960]) ).
cnf(refute_0_2962,plain,
join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) = join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))]]) ).
cnf(refute_0_2963,plain,
( join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) != join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))
| join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)))),bind(Z,$fot(meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))))]]) ).
cnf(refute_0_2964,plain,
( join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)),join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83))) )],[refute_0_2962,refute_0_2963]) ).
cnf(refute_0_2965,plain,
join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_139,complement(join(complement(X_83),X_139))),X_83)),meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) )],[refute_0_2961,refute_0_2964]) ).
cnf(refute_0_2966,plain,
( X_83 != join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top))
| join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)) != meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))
| X_83 = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) ),[0],$fot(join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)))]]) ).
cnf(refute_0_2967,plain,
( X_83 != join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top))
| X_83 = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top)),meet(X_83,join(X_139,complement(join(complement(X_83),X_139))))) )],[refute_0_2965,refute_0_2966]) ).
cnf(refute_0_2968,plain,
X_83 = meet(X_83,join(X_139,complement(join(complement(X_83),X_139)))),
inference(resolve,[$cnf( $equal(X_83,join(meet(join(X_139,complement(join(complement(X_83),X_139))),X_83),complement(top))) )],[refute_0_2945,refute_0_2967]) ).
cnf(refute_0_2969,plain,
join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),
inference(subst,[],[refute_0_2968:[bind(X_139,$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_83,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_2970,plain,
( join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))) != one
| join(skolemFOFtoCNF_X0,complement(one)) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_2971,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),one) )],[refute_0_1725,refute_0_2970]) ).
cnf(refute_0_2972,plain,
join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_2969,refute_0_2971]) ).
cnf(refute_0_2973,plain,
join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) = join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_2974,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))]]) ).
cnf(refute_0_2975,plain,
( join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) != join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) ),[1,1],$fot(join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_2976,plain,
( join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)) != join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_2973,refute_0_2976]) ).
cnf(refute_0_2978,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) ),[0],$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))))]]) ).
cnf(refute_0_2979,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_2977,refute_0_2978]) ).
cnf(refute_0_2980,plain,
join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),join(meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))),complement(one)))) )],[refute_0_2972,refute_0_2979]) ).
cnf(refute_0_2981,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_2982,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
( meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(join(complement(X_178),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),complement(join(complement(X_178),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,0,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_2984,plain,
( meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(join(complement(X_178),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_2982,refute_0_2983]) ).
cnf(refute_0_2985,plain,
meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),complement(join(complement(X_178),meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_2938,refute_0_2984]) ).
cnf(refute_0_2986,plain,
complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_2987,plain,
( complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_2988,plain,
( meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_2986,refute_0_2987]) ).
cnf(refute_0_2989,plain,
complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_2982,refute_0_2988]) ).
cnf(refute_0_2990,plain,
meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))))]]) ).
cnf(refute_0_2991,plain,
( complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))
| meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_2992,plain,
( complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))))) )],[refute_0_2990,refute_0_2991]) ).
cnf(refute_0_2993,plain,
meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) = meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_2989,refute_0_2992]) ).
cnf(refute_0_2994,plain,
( meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_2995,plain,
( meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2993,refute_0_2994]) ).
cnf(refute_0_2996,plain,
join(complement(one),complement(X_178)) = complement(meet(one,X_178)),
inference(subst,[],[refute_0_184:[bind(X0,$fot(one)),bind(X1,$fot(X_178))]]) ).
cnf(refute_0_2997,plain,
join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) = join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))))]]) ).
cnf(refute_0_2998,plain,
( join(complement(one),complement(X_178)) != complement(meet(one,X_178))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) != join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178)))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) = join(skolemFOFtoCNF_X0,complement(meet(one,X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))),join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178)))) ),[1,1],$fot(complement(meet(one,X_178)))]]) ).
cnf(refute_0_2999,plain,
( join(complement(one),complement(X_178)) != complement(meet(one,X_178))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) = join(skolemFOFtoCNF_X0,complement(meet(one,X_178))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))),join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178)))) )],[refute_0_2997,refute_0_2998]) ).
cnf(refute_0_3000,plain,
join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) = join(skolemFOFtoCNF_X0,complement(meet(one,X_178))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(X_178)),complement(meet(one,X_178))) )],[refute_0_2996,refute_0_2999]) ).
cnf(refute_0_3001,plain,
join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))),
inference(subst,[],[refute_0_2268:[bind(X_123,$fot(skolemFOFtoCNF_X0)),bind(X_124,$fot(complement(X_178))),bind(X_125,$fot(complement(one)))]]) ).
cnf(refute_0_3002,plain,
( join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178)))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) != join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))
| join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,X_178))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))))]]) ).
cnf(refute_0_3003,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))) != join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))
| join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,X_178))) ),
inference(resolve,[$cnf( $equal(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178)))) )],[refute_0_3001,refute_0_3002]) ).
cnf(refute_0_3004,plain,
join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,X_178))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(X_178))),join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) )],[refute_0_3000,refute_0_3003]) ).
cnf(refute_0_3005,plain,
complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_3006,plain,
( complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))
| complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))]]) ).
cnf(refute_0_3007,plain,
( join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))
| complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_3005,refute_0_3006]) ).
cnf(refute_0_3008,plain,
complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))),
inference(resolve,[$cnf( $equal(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) )],[refute_0_3004,refute_0_3007]) ).
cnf(refute_0_3009,plain,
( complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))))]]) ).
cnf(refute_0_3010,plain,
( meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))) )],[refute_0_3008,refute_0_3009]) ).
cnf(refute_0_3011,plain,
( meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))) != complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2995,refute_0_3010]) ).
cnf(refute_0_3012,plain,
meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(join(skolemFOFtoCNF_X0,complement(one)),join(complement(one),meet(one,meet(one,join(skolemFOFtoCNF_X0,complement(one)))))))),complement(join(complement(X_178),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_2985,refute_0_3011]) ).
cnf(refute_0_3013,plain,
meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_3014,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3015,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_3013,refute_0_3014]) ).
cnf(refute_0_3016,plain,
meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) = meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1756,refute_0_3015]) ).
cnf(refute_0_3017,plain,
( meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))
| meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != meet(X_178,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))) ),[0],$fot(meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3018,plain,
( meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))
| meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),meet(X_178,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_3016,refute_0_3017]) ).
cnf(refute_0_3019,plain,
meet(meet(one,X_178),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0))),bind(X_15,$fot(meet(one,X_178)))]]) ).
cnf(refute_0_3020,plain,
complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) = meet(meet(one,X_178),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1755:[bind(X_178,$fot(meet(one,X_178)))]]) ).
cnf(refute_0_3021,plain,
( complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) != meet(meet(one,X_178),complement(skolemFOFtoCNF_X0))
| meet(meet(one,X_178),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_178))
| complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))))),bind(Y,$fot(meet(meet(one,X_178),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_178))))]]) ).
cnf(refute_0_3022,plain,
( meet(meet(one,X_178),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_178))
| complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))),meet(meet(one,X_178),complement(skolemFOFtoCNF_X0))) )],[refute_0_3020,refute_0_3021]) ).
cnf(refute_0_3023,plain,
complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)),
inference(resolve,[$cnf( $equal(meet(meet(one,X_178),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),meet(one,X_178))) )],[refute_0_3019,refute_0_3022]) ).
cnf(refute_0_3024,plain,
( complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_178))
| meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))
| meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))) ),[1],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)))]]) ).
cnf(refute_0_3025,plain,
( meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))
| meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178)))),meet(complement(skolemFOFtoCNF_X0),meet(one,X_178))) )],[refute_0_3023,refute_0_3024]) ).
cnf(refute_0_3026,plain,
( meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))
| meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)) ),
inference(resolve,[$cnf( $equal(meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))) )],[refute_0_3018,refute_0_3025]) ).
cnf(refute_0_3027,plain,
meet(X_178,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_178)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,X_178))))) )],[refute_0_3012,refute_0_3026]) ).
cnf(refute_0_3028,plain,
meet(X_15,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_15)),
inference(subst,[],[refute_0_3027:[bind(X_178,$fot(X_15))]]) ).
cnf(refute_0_3029,plain,
( meet(X_15,meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_15))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15) != meet(X_15,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15),meet(X_15,meet(one,complement(skolemFOFtoCNF_X0)))) ),[1],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_15)))]]) ).
cnf(refute_0_3030,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15) != meet(X_15,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_15)) ),
inference(resolve,[$cnf( $equal(meet(X_15,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,X_15))) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_15)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),X_15),meet(X_15,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2937,refute_0_3030]) ).
cnf(refute_0_3032,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_3031:[bind(X_15,$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3033,plain,
complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3034,plain,
( complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3035,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3033,refute_0_3034]) ).
cnf(refute_0_3036,plain,
complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3032,refute_0_3035]) ).
cnf(refute_0_3037,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3038,plain,
join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_124,$fot(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3039,plain,
( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3040,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3038,refute_0_3039]) ).
cnf(refute_0_3041,plain,
join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3037,refute_0_3040]) ).
cnf(refute_0_3042,plain,
join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2839:[bind(X_114,$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(X_84,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3043,plain,
( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3044,plain,
( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_3042,refute_0_3043]) ).
cnf(refute_0_3045,plain,
join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3041,refute_0_3044]) ).
cnf(refute_0_3046,plain,
( complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3047,plain,
( complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3045,refute_0_3046]) ).
cnf(refute_0_3048,plain,
join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3036,refute_0_3047]) ).
cnf(refute_0_3049,plain,
( join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(one)) != join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3050,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3048,refute_0_3049]) ).
cnf(refute_0_3051,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2936,refute_0_3050]) ).
cnf(refute_0_3052,plain,
join(skolemFOFtoCNF_X0,complement(one)) = complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2934,refute_0_3051]) ).
cnf(refute_0_3053,plain,
join(X_459,meet(complement(X_459),complement(X_120))) = join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120))))),
inference(subst,[],[refute_0_1011:[bind(X_121,$fot(join(X_459,meet(complement(X_459),complement(X_120)))))]]) ).
cnf(refute_0_3054,plain,
X_455 = meet(X_455,join(complement(complement(X_83)),meet(complement(X_83),X_455))),
inference(subst,[],[refute_0_1963:[bind(X_63,$fot(complement(X_83))),bind(X_83,$fot(X_455))]]) ).
cnf(refute_0_3055,plain,
( X_455 != meet(X_455,join(complement(complement(X_83)),meet(complement(X_83),X_455)))
| complement(complement(X_83)) != X_83
| X_455 = meet(X_455,join(X_83,meet(complement(X_83),X_455))) ),
introduced(tautology,[equality,[$cnf( $equal(X_455,meet(X_455,join(complement(complement(X_83)),meet(complement(X_83),X_455)))) ),[1,1,0],$fot(X_83)]]) ).
cnf(refute_0_3056,plain,
( X_455 != meet(X_455,join(complement(complement(X_83)),meet(complement(X_83),X_455)))
| X_455 = meet(X_455,join(X_83,meet(complement(X_83),X_455))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_3055]) ).
cnf(refute_0_3057,plain,
X_455 = meet(X_455,join(X_83,meet(complement(X_83),X_455))),
inference(resolve,[$cnf( $equal(X_455,meet(X_455,join(complement(complement(X_83)),meet(complement(X_83),X_455)))) )],[refute_0_3054,refute_0_3056]) ).
cnf(refute_0_3058,plain,
complement(X_120) = meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))),
inference(subst,[],[refute_0_3057:[bind(X_455,$fot(complement(X_120))),bind(X_83,$fot(X_459))]]) ).
cnf(refute_0_3059,plain,
( complement(X_120) != meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120))))
| meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))) = complement(X_120) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_120))),bind(Y,$fot(meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120))))))]]) ).
cnf(refute_0_3060,plain,
meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))) = complement(X_120),
inference(resolve,[$cnf( $equal(complement(X_120),meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120))))) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
( join(X_459,meet(complement(X_459),complement(X_120))) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))))
| meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))) != complement(X_120)
| join(X_459,meet(complement(X_459),complement(X_120))) = join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))))) ),[1,1],$fot(complement(X_120))]]) ).
cnf(refute_0_3062,plain,
( join(X_459,meet(complement(X_459),complement(X_120))) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))))
| join(X_459,meet(complement(X_459),complement(X_120))) = join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) )],[refute_0_3060,refute_0_3061]) ).
cnf(refute_0_3063,plain,
join(X_459,meet(complement(X_459),complement(X_120))) = join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),meet(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))))) )],[refute_0_3053,refute_0_3062]) ).
cnf(refute_0_3064,plain,
join(X_459,complement(join(X_459,X_120))) = complement(meet(complement(X_459),X_120)),
inference(subst,[],[refute_0_2670:[bind(X_306,$fot(X_459)),bind(X_307,$fot(X_120))]]) ).
cnf(refute_0_3065,plain,
meet(complement(X_459),complement(X_120)) = complement(join(X_459,X_120)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(X_120)),bind(X_83,$fot(X_459))]]) ).
cnf(refute_0_3066,plain,
join(X_459,meet(complement(X_459),complement(X_120))) = join(X_459,meet(complement(X_459),complement(X_120))),
introduced(tautology,[refl,[$fot(join(X_459,meet(complement(X_459),complement(X_120))))]]) ).
cnf(refute_0_3067,plain,
( join(X_459,meet(complement(X_459),complement(X_120))) != join(X_459,meet(complement(X_459),complement(X_120)))
| meet(complement(X_459),complement(X_120)) != complement(join(X_459,X_120))
| join(X_459,meet(complement(X_459),complement(X_120))) = join(X_459,complement(join(X_459,X_120))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(X_459,meet(complement(X_459),complement(X_120)))) ),[1,1],$fot(complement(join(X_459,X_120)))]]) ).
cnf(refute_0_3068,plain,
( meet(complement(X_459),complement(X_120)) != complement(join(X_459,X_120))
| join(X_459,meet(complement(X_459),complement(X_120))) = join(X_459,complement(join(X_459,X_120))) ),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(X_459,meet(complement(X_459),complement(X_120)))) )],[refute_0_3066,refute_0_3067]) ).
cnf(refute_0_3069,plain,
join(X_459,meet(complement(X_459),complement(X_120))) = join(X_459,complement(join(X_459,X_120))),
inference(resolve,[$cnf( $equal(meet(complement(X_459),complement(X_120)),complement(join(X_459,X_120))) )],[refute_0_3065,refute_0_3068]) ).
cnf(refute_0_3070,plain,
( join(X_459,complement(join(X_459,X_120))) != complement(meet(complement(X_459),X_120))
| join(X_459,meet(complement(X_459),complement(X_120))) != join(X_459,complement(join(X_459,X_120)))
| join(X_459,meet(complement(X_459),complement(X_120))) = complement(meet(complement(X_459),X_120)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_459,meet(complement(X_459),complement(X_120))))),bind(Y,$fot(join(X_459,complement(join(X_459,X_120))))),bind(Z,$fot(complement(meet(complement(X_459),X_120))))]]) ).
cnf(refute_0_3071,plain,
( join(X_459,complement(join(X_459,X_120))) != complement(meet(complement(X_459),X_120))
| join(X_459,meet(complement(X_459),complement(X_120))) = complement(meet(complement(X_459),X_120)) ),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(X_459,complement(join(X_459,X_120)))) )],[refute_0_3069,refute_0_3070]) ).
cnf(refute_0_3072,plain,
join(X_459,meet(complement(X_459),complement(X_120))) = complement(meet(complement(X_459),X_120)),
inference(resolve,[$cnf( $equal(join(X_459,complement(join(X_459,X_120))),complement(meet(complement(X_459),X_120))) )],[refute_0_3064,refute_0_3071]) ).
cnf(refute_0_3073,plain,
( join(X_459,meet(complement(X_459),complement(X_120))) != complement(meet(complement(X_459),X_120))
| join(X_459,meet(complement(X_459),complement(X_120))) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))
| complement(meet(complement(X_459),X_120)) = join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))) ),[0],$fot(complement(meet(complement(X_459),X_120)))]]) ).
cnf(refute_0_3074,plain,
( join(X_459,meet(complement(X_459),complement(X_120))) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))
| complement(meet(complement(X_459),X_120)) = join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) ),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),complement(meet(complement(X_459),X_120))) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))) = join(X_459,complement(X_120)),
inference(subst,[],[refute_0_2897:[bind(X_25,$fot(X_459)),bind(X_26,$fot(complement(X_120))),bind(X_389,$fot(complement(X_459)))]]) ).
cnf(refute_0_3076,plain,
join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) = join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))),
inference(subst,[],[refute_0_2905:[bind(X_454,$fot(X_120)),bind(X_83,$fot(join(X_459,meet(complement(X_459),complement(X_120)))))]]) ).
cnf(refute_0_3077,plain,
( join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))) != join(X_459,complement(X_120))
| join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) != join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120))))
| join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) = join(X_459,complement(X_120)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))))),bind(Y,$fot(join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))))),bind(Z,$fot(join(X_459,complement(X_120))))]]) ).
cnf(refute_0_3078,plain,
( join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))) != join(X_459,complement(X_120))
| join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) = join(X_459,complement(X_120)) ),
inference(resolve,[$cnf( $equal(join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))),join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120))))) )],[refute_0_3076,refute_0_3077]) ).
cnf(refute_0_3079,plain,
join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) = join(X_459,complement(X_120)),
inference(resolve,[$cnf( $equal(join(complement(X_120),join(X_459,meet(complement(X_459),complement(X_120)))),join(X_459,complement(X_120))) )],[refute_0_3075,refute_0_3078]) ).
cnf(refute_0_3080,plain,
join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) = join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(X_120))),bind(X_124,$fot(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))))]]) ).
cnf(refute_0_3081,plain,
( join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) != join(X_459,complement(X_120))
| join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) != join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))))
| join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) = join(X_459,complement(X_120)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)))),bind(Y,$fot(join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))))),bind(Z,$fot(join(X_459,complement(X_120))))]]) ).
cnf(refute_0_3082,plain,
( join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))) != join(X_459,complement(X_120))
| join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) = join(X_459,complement(X_120)) ),
inference(resolve,[$cnf( $equal(join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)),join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))))) )],[refute_0_3080,refute_0_3081]) ).
cnf(refute_0_3083,plain,
join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) = join(X_459,complement(X_120)),
inference(resolve,[$cnf( $equal(join(complement(X_120),meet(X_120,join(X_459,meet(complement(X_459),complement(X_120))))),join(X_459,complement(X_120))) )],[refute_0_3079,refute_0_3082]) ).
cnf(refute_0_3084,plain,
( complement(meet(complement(X_459),X_120)) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))
| join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)) != join(X_459,complement(X_120))
| complement(meet(complement(X_459),X_120)) = join(X_459,complement(X_120)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(X_459),X_120)),join(X_459,complement(X_120))) ),[0],$fot(join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)))]]) ).
cnf(refute_0_3085,plain,
( complement(meet(complement(X_459),X_120)) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))
| complement(meet(complement(X_459),X_120)) = join(X_459,complement(X_120)) ),
inference(resolve,[$cnf( $equal(join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120)),join(X_459,complement(X_120))) )],[refute_0_3083,refute_0_3084]) ).
cnf(refute_0_3086,plain,
( join(X_459,meet(complement(X_459),complement(X_120))) != join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))
| complement(meet(complement(X_459),X_120)) = join(X_459,complement(X_120)) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_459),X_120)),join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))) )],[refute_0_3074,refute_0_3085]) ).
cnf(refute_0_3087,plain,
complement(meet(complement(X_459),X_120)) = join(X_459,complement(X_120)),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),complement(X_120))),join(meet(X_120,join(X_459,meet(complement(X_459),complement(X_120)))),complement(X_120))) )],[refute_0_3063,refute_0_3086]) ).
cnf(refute_0_3088,plain,
complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3087:[bind(X_120,$fot(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X_459,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3089,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(one)) != complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3090,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3088,refute_0_3089]) ).
cnf(refute_0_3091,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),complement(meet(complement(skolemFOFtoCNF_X0),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3052,refute_0_3090]) ).
cnf(refute_0_3092,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(skolemFOFtoCNF_X0)),bind(X_121,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_3093,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,meet(one,complement(complement(X_83)))),
inference(subst,[],[refute_0_2066:[bind(X_27,$fot(complement(X_83)))]]) ).
cnf(refute_0_3094,plain,
( complement(complement(X_83)) != X_83
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) != meet(skolemFOFtoCNF_X0,meet(one,complement(complement(X_83))))
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,meet(one,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,meet(one,complement(complement(X_83))))) ),[1,1,1],$fot(X_83)]]) ).
cnf(refute_0_3095,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X_83))) != meet(skolemFOFtoCNF_X0,meet(one,complement(complement(X_83))))
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,meet(one,X_83)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_3094]) ).
cnf(refute_0_3096,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,meet(one,X_83)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,meet(one,complement(complement(X_83))))) )],[refute_0_3093,refute_0_3095]) ).
cnf(refute_0_3097,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,complement(complement(X_83))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(complement(X_83))))]]) ).
cnf(refute_0_3098,plain,
( complement(complement(X_83)) != X_83
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) != meet(skolemFOFtoCNF_X0,complement(complement(X_83)))
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,X_83) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,complement(complement(X_83)))) ),[1,1],$fot(X_83)]]) ).
cnf(refute_0_3099,plain,
( complement(complement(X_83)) != X_83
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,X_83) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,complement(complement(X_83)))) )],[refute_0_3097,refute_0_3098]) ).
cnf(refute_0_3100,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X_83))) = meet(skolemFOFtoCNF_X0,X_83),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_3099]) ).
cnf(refute_0_3101,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X_83))) != meet(skolemFOFtoCNF_X0,X_83)
| meet(skolemFOFtoCNF_X0,complement(complement(X_83))) != meet(skolemFOFtoCNF_X0,meet(one,X_83))
| meet(skolemFOFtoCNF_X0,X_83) = meet(skolemFOFtoCNF_X0,meet(one,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,meet(one,X_83))) ),[0],$fot(meet(skolemFOFtoCNF_X0,X_83))]]) ).
cnf(refute_0_3102,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X_83))) != meet(skolemFOFtoCNF_X0,meet(one,X_83))
| meet(skolemFOFtoCNF_X0,X_83) = meet(skolemFOFtoCNF_X0,meet(one,X_83)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,X_83)) )],[refute_0_3100,refute_0_3101]) ).
cnf(refute_0_3103,plain,
meet(skolemFOFtoCNF_X0,X_83) = meet(skolemFOFtoCNF_X0,meet(one,X_83)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X_83))),meet(skolemFOFtoCNF_X0,meet(one,X_83))) )],[refute_0_3096,refute_0_3102]) ).
cnf(refute_0_3104,plain,
meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(skolemFOFtoCNF_X0,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_3103:[bind(X_83,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_3105,plain,
( meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(skolemFOFtoCNF_X0,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(skolemFOFtoCNF_X0,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3106,plain,
( meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(skolemFOFtoCNF_X0,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1605,refute_0_3105]) ).
cnf(refute_0_3107,plain,
meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(skolemFOFtoCNF_X0,meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_3104,refute_0_3106]) ).
cnf(refute_0_3108,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3109,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_3107,refute_0_3108]) ).
cnf(refute_0_3110,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_3092,refute_0_3109]) ).
cnf(refute_0_3111,plain,
join(X_459,meet(complement(X_459),X_83)) = join(join(X_459,meet(complement(X_459),X_83)),meet(X_83,join(X_459,meet(complement(X_459),X_83)))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(join(X_459,meet(complement(X_459),X_83))))]]) ).
cnf(refute_0_3112,plain,
X_83 = meet(X_83,join(X_459,meet(complement(X_459),X_83))),
inference(subst,[],[refute_0_3057:[bind(X_455,$fot(X_83)),bind(X_83,$fot(X_459))]]) ).
cnf(refute_0_3113,plain,
( X_83 != meet(X_83,join(X_459,meet(complement(X_459),X_83)))
| meet(X_83,join(X_459,meet(complement(X_459),X_83))) = X_83 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_83)),bind(Y,$fot(meet(X_83,join(X_459,meet(complement(X_459),X_83)))))]]) ).
cnf(refute_0_3114,plain,
meet(X_83,join(X_459,meet(complement(X_459),X_83))) = X_83,
inference(resolve,[$cnf( $equal(X_83,meet(X_83,join(X_459,meet(complement(X_459),X_83)))) )],[refute_0_3112,refute_0_3113]) ).
cnf(refute_0_3115,plain,
( join(X_459,meet(complement(X_459),X_83)) != join(join(X_459,meet(complement(X_459),X_83)),meet(X_83,join(X_459,meet(complement(X_459),X_83))))
| meet(X_83,join(X_459,meet(complement(X_459),X_83))) != X_83
| join(X_459,meet(complement(X_459),X_83)) = join(join(X_459,meet(complement(X_459),X_83)),X_83) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_459,meet(complement(X_459),X_83)),join(join(X_459,meet(complement(X_459),X_83)),meet(X_83,join(X_459,meet(complement(X_459),X_83))))) ),[1,1],$fot(X_83)]]) ).
cnf(refute_0_3116,plain,
( join(X_459,meet(complement(X_459),X_83)) != join(join(X_459,meet(complement(X_459),X_83)),meet(X_83,join(X_459,meet(complement(X_459),X_83))))
| join(X_459,meet(complement(X_459),X_83)) = join(join(X_459,meet(complement(X_459),X_83)),X_83) ),
inference(resolve,[$cnf( $equal(meet(X_83,join(X_459,meet(complement(X_459),X_83))),X_83) )],[refute_0_3114,refute_0_3115]) ).
cnf(refute_0_3117,plain,
join(X_459,meet(complement(X_459),X_83)) = join(join(X_459,meet(complement(X_459),X_83)),X_83),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),X_83)),join(join(X_459,meet(complement(X_459),X_83)),meet(X_83,join(X_459,meet(complement(X_459),X_83))))) )],[refute_0_3111,refute_0_3116]) ).
cnf(refute_0_3118,plain,
join(X_83,join(X_459,meet(complement(X_459),X_83))) = join(X_459,X_83),
inference(subst,[],[refute_0_2897:[bind(X_25,$fot(X_459)),bind(X_26,$fot(X_83)),bind(X_389,$fot(complement(X_459)))]]) ).
cnf(refute_0_3119,plain,
join(join(X_459,meet(complement(X_459),X_83)),X_83) = join(X_83,join(X_459,meet(complement(X_459),X_83))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_83)),bind(X_124,$fot(join(X_459,meet(complement(X_459),X_83))))]]) ).
cnf(refute_0_3120,plain,
( join(X_83,join(X_459,meet(complement(X_459),X_83))) != join(X_459,X_83)
| join(join(X_459,meet(complement(X_459),X_83)),X_83) != join(X_83,join(X_459,meet(complement(X_459),X_83)))
| join(join(X_459,meet(complement(X_459),X_83)),X_83) = join(X_459,X_83) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X_459,meet(complement(X_459),X_83)),X_83))),bind(Y,$fot(join(X_83,join(X_459,meet(complement(X_459),X_83))))),bind(Z,$fot(join(X_459,X_83)))]]) ).
cnf(refute_0_3121,plain,
( join(X_83,join(X_459,meet(complement(X_459),X_83))) != join(X_459,X_83)
| join(join(X_459,meet(complement(X_459),X_83)),X_83) = join(X_459,X_83) ),
inference(resolve,[$cnf( $equal(join(join(X_459,meet(complement(X_459),X_83)),X_83),join(X_83,join(X_459,meet(complement(X_459),X_83)))) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
join(join(X_459,meet(complement(X_459),X_83)),X_83) = join(X_459,X_83),
inference(resolve,[$cnf( $equal(join(X_83,join(X_459,meet(complement(X_459),X_83))),join(X_459,X_83)) )],[refute_0_3118,refute_0_3121]) ).
cnf(refute_0_3123,plain,
( join(X_459,meet(complement(X_459),X_83)) != join(join(X_459,meet(complement(X_459),X_83)),X_83)
| join(join(X_459,meet(complement(X_459),X_83)),X_83) != join(X_459,X_83)
| join(X_459,meet(complement(X_459),X_83)) = join(X_459,X_83) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_459,meet(complement(X_459),X_83)),join(X_459,X_83)) ),[0],$fot(join(join(X_459,meet(complement(X_459),X_83)),X_83))]]) ).
cnf(refute_0_3124,plain,
( join(X_459,meet(complement(X_459),X_83)) != join(join(X_459,meet(complement(X_459),X_83)),X_83)
| join(X_459,meet(complement(X_459),X_83)) = join(X_459,X_83) ),
inference(resolve,[$cnf( $equal(join(join(X_459,meet(complement(X_459),X_83)),X_83),join(X_459,X_83)) )],[refute_0_3122,refute_0_3123]) ).
cnf(refute_0_3125,plain,
join(X_459,meet(complement(X_459),X_83)) = join(X_459,X_83),
inference(resolve,[$cnf( $equal(join(X_459,meet(complement(X_459),X_83)),join(join(X_459,meet(complement(X_459),X_83)),X_83)) )],[refute_0_3117,refute_0_3124]) ).
cnf(refute_0_3126,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_3125:[bind(X_459,$fot(skolemFOFtoCNF_X0)),bind(X_83,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_3127,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = complement(join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))]]) ).
cnf(refute_0_3128,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1915:[bind(X_96,$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),bind(X_97,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3129,plain,
meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,X_83)))),
inference(subst,[],[refute_0_1963:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_83,$fot(meet(one,X_83)))]]) ).
cnf(refute_0_3130,plain,
( meet(skolemFOFtoCNF_X0,X_83) != meet(skolemFOFtoCNF_X0,meet(one,X_83))
| meet(skolemFOFtoCNF_X0,meet(one,X_83)) = meet(skolemFOFtoCNF_X0,X_83) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_83))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,meet(one,X_83))))]]) ).
cnf(refute_0_3131,plain,
meet(skolemFOFtoCNF_X0,meet(one,X_83)) = meet(skolemFOFtoCNF_X0,X_83),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_83),meet(skolemFOFtoCNF_X0,meet(one,X_83))) )],[refute_0_3103,refute_0_3130]) ).
cnf(refute_0_3132,plain,
( meet(one,X_83) != meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,X_83))))
| meet(skolemFOFtoCNF_X0,meet(one,X_83)) != meet(skolemFOFtoCNF_X0,X_83)
| meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_83),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,X_83))))) ),[1,1,1],$fot(meet(skolemFOFtoCNF_X0,X_83))]]) ).
cnf(refute_0_3133,plain,
( meet(one,X_83) != meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,X_83))))
| meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,X_83)),meet(skolemFOFtoCNF_X0,X_83)) )],[refute_0_3131,refute_0_3132]) ).
cnf(refute_0_3134,plain,
meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))),
inference(resolve,[$cnf( $equal(meet(one,X_83),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,X_83))))) )],[refute_0_3129,refute_0_3133]) ).
cnf(refute_0_3135,plain,
join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)) = join(complement(skolemFOFtoCNF_X0),X_83),
inference(subst,[],[refute_0_2905:[bind(X_454,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3136,plain,
meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))),
introduced(tautology,[refl,[$fot(meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))))]]) ).
cnf(refute_0_3137,plain,
( join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)) != join(complement(skolemFOFtoCNF_X0),X_83)
| meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) != meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))
| meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))) ),[1,1],$fot(join(complement(skolemFOFtoCNF_X0),X_83))]]) ).
cnf(refute_0_3138,plain,
( join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)) != join(complement(skolemFOFtoCNF_X0),X_83)
| meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))) )],[refute_0_3136,refute_0_3137]) ).
cnf(refute_0_3139,plain,
meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)),join(complement(skolemFOFtoCNF_X0),X_83)) )],[refute_0_3135,refute_0_3138]) ).
cnf(refute_0_3140,plain,
( meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))) != meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83))
| meet(one,X_83) != meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))
| meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_83),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))) ),[1],$fot(meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)))]]) ).
cnf(refute_0_3141,plain,
( meet(one,X_83) != meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))
| meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83))),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83))) )],[refute_0_3139,refute_0_3140]) ).
cnf(refute_0_3142,plain,
meet(one,X_83) = meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),X_83)),
inference(resolve,[$cnf( $equal(meet(one,X_83),meet(meet(one,X_83),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_83)))) )],[refute_0_3134,refute_0_3141]) ).
cnf(refute_0_3143,plain,
meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))),
inference(subst,[],[refute_0_3142:[bind(X_83,$fot(composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))]]) ).
cnf(refute_0_3144,plain,
join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),X1)))) = complement(X1),
inference(subst,[],[refute_0_39:[bind(X0,$fot(composition(X_46,X_47)))]]) ).
cnf(refute_0_3145,plain,
composition(X_46,composition(X_47,X1)) = composition(composition(X_46,X_47),X1),
inference(subst,[],[refute_0_1259:[bind(X0,$fot(X_46)),bind(X1,$fot(X_47)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3146,plain,
( composition(X_46,composition(X_47,X1)) != composition(composition(X_46,X_47),X1)
| composition(composition(X_46,X_47),X1) = composition(X_46,composition(X_47,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X_46,composition(X_47,X1)))),bind(Y,$fot(composition(composition(X_46,X_47),X1)))]]) ).
cnf(refute_0_3147,plain,
composition(composition(X_46,X_47),X1) = composition(X_46,composition(X_47,X1)),
inference(resolve,[$cnf( $equal(composition(X_46,composition(X_47,X1)),composition(composition(X_46,X_47),X1)) )],[refute_0_3145,refute_0_3146]) ).
cnf(refute_0_3148,plain,
( composition(composition(X_46,X_47),X1) != composition(X_46,composition(X_47,X1))
| join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,X1))))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),X1)))),complement(X1)) ),[0,1,1,0],$fot(composition(X_46,composition(X_47,X1)))]]) ).
cnf(refute_0_3149,plain,
( join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,X1))))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(composition(X_46,X_47),X1),composition(X_46,composition(X_47,X1))) )],[refute_0_3147,refute_0_3148]) ).
cnf(refute_0_3150,plain,
join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,X1))))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),X1)))),complement(X1)) )],[refute_0_3144,refute_0_3149]) ).
cnf(refute_0_3151,plain,
join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))))) = complement(X_135),
inference(subst,[],[refute_0_3150:[bind(X1,$fot(X_135)),bind(X_46,$fot(top)),bind(X_47,$fot(converse(complement(composition(X_135,composition(top,top))))))]]) ).
cnf(refute_0_3152,plain,
converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))) = composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))),
inference(subst,[],[refute_0_41:[bind(X0,$fot(converse(composition(X_127,X_128)))),bind(X1,$fot(complement(composition(X_127,composition(X_128,top)))))]]) ).
cnf(refute_0_3153,plain,
join(zero,composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),top)))) = zero,
inference(subst,[],[refute_0_1269:[bind(X_36,$fot(composition(X_46,X_47)))]]) ).
cnf(refute_0_3154,plain,
composition(X_46,composition(X_47,top)) = composition(composition(X_46,X_47),top),
inference(subst,[],[refute_0_1259:[bind(X0,$fot(X_46)),bind(X1,$fot(X_47)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3155,plain,
( composition(X_46,composition(X_47,top)) != composition(composition(X_46,X_47),top)
| composition(composition(X_46,X_47),top) = composition(X_46,composition(X_47,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X_46,composition(X_47,top)))),bind(Y,$fot(composition(composition(X_46,X_47),top)))]]) ).
cnf(refute_0_3156,plain,
composition(composition(X_46,X_47),top) = composition(X_46,composition(X_47,top)),
inference(resolve,[$cnf( $equal(composition(X_46,composition(X_47,top)),composition(composition(X_46,X_47),top)) )],[refute_0_3154,refute_0_3155]) ).
cnf(refute_0_3157,plain,
( composition(composition(X_46,X_47),top) != composition(X_46,composition(X_47,top))
| join(zero,composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),top)))) != zero
| join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),top)))),zero) ),[0,1,1,0],$fot(composition(X_46,composition(X_47,top)))]]) ).
cnf(refute_0_3158,plain,
( join(zero,composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),top)))) != zero
| join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X_46,X_47),top),composition(X_46,composition(X_47,top))) )],[refute_0_3156,refute_0_3157]) ).
cnf(refute_0_3159,plain,
join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_46,X_47)),complement(composition(composition(X_46,X_47),top)))),zero) )],[refute_0_3153,refute_0_3158]) ).
cnf(refute_0_3160,plain,
join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) = composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))))]]) ).
cnf(refute_0_3161,plain,
( join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) != composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))
| join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) != zero
| composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))),zero) ),[0],$fot(composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top)))))]]) ).
cnf(refute_0_3162,plain,
( join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) != zero
| composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))),composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))) )],[refute_0_3160,refute_0_3161]) ).
cnf(refute_0_3163,plain,
composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(X_46,X_47)),complement(composition(X_46,composition(X_47,top))))),zero) )],[refute_0_3159,refute_0_3162]) ).
cnf(refute_0_3164,plain,
composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top)))) = zero,
inference(subst,[],[refute_0_3163:[bind(X_46,$fot(X_127)),bind(X_47,$fot(X_128))]]) ).
cnf(refute_0_3165,plain,
( composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top)))) != zero
| converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))) != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| converse(zero) = composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))),composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3166,plain,
( converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))) != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| converse(zero) = composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top)))),zero) )],[refute_0_3164,refute_0_3165]) ).
cnf(refute_0_3167,plain,
converse(zero) = composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))),composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))) )],[refute_0_3152,refute_0_3166]) ).
cnf(refute_0_3168,plain,
( converse(zero) != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_3169,plain,
( converse(zero) != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| zero = composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_3168]) ).
cnf(refute_0_3170,plain,
converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))) = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(composition(X_127,X_128))),bind(X_7,$fot(complement(composition(X_127,composition(X_128,top)))))]]) ).
cnf(refute_0_3171,plain,
composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) = converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(converse(composition(X_127,X_128)))),bind(X1,$fot(complement(composition(X_127,composition(X_128,top)))))]]) ).
cnf(refute_0_3172,plain,
( composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) != converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top)))))
| converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))) != composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128))
| composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))))),bind(Y,$fot(converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))))),bind(Z,$fot(composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128))))]]) ).
cnf(refute_0_3173,plain,
( converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))) != composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128))
| composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))),converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top)))))) )],[refute_0_3171,refute_0_3172]) ).
cnf(refute_0_3174,plain,
composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(X_127,X_128)),complement(composition(X_127,composition(X_128,top))))),composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128))) )],[refute_0_3170,refute_0_3173]) ).
cnf(refute_0_3175,plain,
( composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))) != composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128))
| zero != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| zero = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))) ),[1],$fot(composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)))]]) ).
cnf(refute_0_3176,plain,
( zero != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| zero = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128)))),composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128))) )],[refute_0_3174,refute_0_3175]) ).
cnf(refute_0_3177,plain,
( converse(zero) != composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))
| zero = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))) )],[refute_0_3169,refute_0_3176]) ).
cnf(refute_0_3178,plain,
zero = composition(converse(complement(composition(X_127,composition(X_128,top)))),composition(X_127,X_128)),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_127,composition(X_128,top)))),converse(converse(composition(X_127,X_128))))) )],[refute_0_3167,refute_0_3177]) ).
cnf(refute_0_3179,plain,
zero = composition(converse(complement(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)))),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),
inference(subst,[],[refute_0_3178:[bind(X_127,$fot(converse(complement(composition(X_128,composition(top,top))))))]]) ).
cnf(refute_0_3180,plain,
zero = composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)),
inference(subst,[],[refute_0_3178:[bind(X_127,$fot(X_128)),bind(X_128,$fot(top))]]) ).
cnf(refute_0_3181,plain,
( zero != composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top))
| composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top))))]]) ).
cnf(refute_0_3182,plain,
composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top))) )],[refute_0_3180,refute_0_3181]) ).
cnf(refute_0_3183,plain,
( composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)) != zero
| zero != composition(converse(complement(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)))),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| zero = composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)))),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) ),[1,0,0,0],$fot(zero)]]) ).
cnf(refute_0_3184,plain,
( zero != composition(converse(complement(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)))),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| zero = composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)),zero) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
zero = composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(converse(complement(composition(X_128,composition(top,top)))),composition(X_128,top)))),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) )],[refute_0_3179,refute_0_3184]) ).
cnf(refute_0_3186,plain,
composition(top,composition(converse(X_72),X2)) = composition(composition(top,converse(X_72)),X2),
inference(subst,[],[refute_0_1259:[bind(X0,$fot(top)),bind(X1,$fot(converse(X_72)))]]) ).
cnf(refute_0_3187,plain,
converse(composition(X_6,converse(X0))) = composition(converse(converse(X0)),converse(X_6)),
inference(subst,[],[refute_0_41:[bind(X0,$fot(X_6)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_3188,plain,
( converse(composition(X_6,converse(X0))) != composition(converse(converse(X0)),converse(X_6))
| converse(converse(X0)) != X0
| converse(composition(X_6,converse(X0))) = composition(X0,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,converse(X0))),composition(converse(converse(X0)),converse(X_6))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_3189,plain,
( converse(composition(X_6,converse(X0))) != composition(converse(converse(X0)),converse(X_6))
| converse(composition(X_6,converse(X0))) = composition(X0,converse(X_6)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_3188]) ).
cnf(refute_0_3190,plain,
converse(composition(X_6,converse(X0))) = composition(X0,converse(X_6)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,converse(X0))),composition(converse(converse(X0)),converse(X_6))) )],[refute_0_3187,refute_0_3189]) ).
cnf(refute_0_3191,plain,
converse(composition(X_6,converse(top))) = composition(top,converse(X_6)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(top))]]) ).
cnf(refute_0_3192,plain,
( converse(composition(X_6,converse(top))) != composition(top,converse(X_6))
| converse(top) != top
| converse(composition(X_6,top)) = composition(top,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,converse(top))),composition(top,converse(X_6))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_3193,plain,
( converse(composition(X_6,converse(top))) != composition(top,converse(X_6))
| converse(composition(X_6,top)) = composition(top,converse(X_6)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_3192]) ).
cnf(refute_0_3194,plain,
converse(composition(X_6,top)) = composition(top,converse(X_6)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,converse(top))),composition(top,converse(X_6))) )],[refute_0_3191,refute_0_3193]) ).
cnf(refute_0_3195,plain,
converse(composition(X_72,top)) = composition(top,converse(X_72)),
inference(subst,[],[refute_0_3194:[bind(X_6,$fot(X_72))]]) ).
cnf(refute_0_3196,plain,
( converse(composition(X_72,top)) != composition(top,converse(X_72))
| composition(top,converse(X_72)) = converse(composition(X_72,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(X_72,top)))),bind(Y,$fot(composition(top,converse(X_72))))]]) ).
cnf(refute_0_3197,plain,
composition(top,converse(X_72)) = converse(composition(X_72,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_72,top)),composition(top,converse(X_72))) )],[refute_0_3195,refute_0_3196]) ).
cnf(refute_0_3198,plain,
( composition(top,composition(converse(X_72),X2)) != composition(composition(top,converse(X_72)),X2)
| composition(top,converse(X_72)) != converse(composition(X_72,top))
| composition(top,composition(converse(X_72),X2)) = composition(converse(composition(X_72,top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(X_72),X2)),composition(composition(top,converse(X_72)),X2)) ),[1,0],$fot(converse(composition(X_72,top)))]]) ).
cnf(refute_0_3199,plain,
( composition(top,composition(converse(X_72),X2)) != composition(composition(top,converse(X_72)),X2)
| composition(top,composition(converse(X_72),X2)) = composition(converse(composition(X_72,top)),X2) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_72)),converse(composition(X_72,top))) )],[refute_0_3197,refute_0_3198]) ).
cnf(refute_0_3200,plain,
composition(top,composition(converse(X_72),X2)) = composition(converse(composition(X_72,top)),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_72),X2)),composition(composition(top,converse(X_72)),X2)) )],[refute_0_3186,refute_0_3199]) ).
cnf(refute_0_3201,plain,
( composition(top,composition(converse(X_72),X2)) != composition(converse(composition(X_72,top)),X2)
| composition(converse(composition(X_72,top)),X2) = composition(top,composition(converse(X_72),X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,composition(converse(X_72),X2)))),bind(Y,$fot(composition(converse(composition(X_72,top)),X2)))]]) ).
cnf(refute_0_3202,plain,
composition(converse(composition(X_72,top)),X2) = composition(top,composition(converse(X_72),X2)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_72),X2)),composition(converse(composition(X_72,top)),X2)) )],[refute_0_3200,refute_0_3201]) ).
cnf(refute_0_3203,plain,
composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),
inference(subst,[],[refute_0_3202:[bind(X2,$fot(X_128)),bind(X_72,$fot(complement(composition(X_128,composition(top,top)))))]]) ).
cnf(refute_0_3204,plain,
composition(complement(composition(X_128,composition(top,top))),complement(zero)) = composition(complement(composition(X_128,composition(top,top))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_128,composition(top,top))),complement(zero)))]]) ).
cnf(refute_0_3205,plain,
( complement(zero) != top
| composition(complement(composition(X_128,composition(top,top))),complement(zero)) != composition(complement(composition(X_128,composition(top,top))),complement(zero))
| composition(complement(composition(X_128,composition(top,top))),complement(zero)) = composition(complement(composition(X_128,composition(top,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_128,composition(top,top))),complement(zero)),composition(complement(composition(X_128,composition(top,top))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3206,plain,
( complement(zero) != top
| composition(complement(composition(X_128,composition(top,top))),complement(zero)) = composition(complement(composition(X_128,composition(top,top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_128,composition(top,top))),complement(zero)),composition(complement(composition(X_128,composition(top,top))),complement(zero))) )],[refute_0_3204,refute_0_3205]) ).
cnf(refute_0_3207,plain,
composition(complement(composition(X_128,composition(top,top))),complement(zero)) = composition(complement(composition(X_128,composition(top,top))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_3206]) ).
cnf(refute_0_3208,plain,
converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) = converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))))]]) ).
cnf(refute_0_3209,plain,
( composition(complement(composition(X_128,composition(top,top))),complement(zero)) != composition(complement(composition(X_128,composition(top,top))),top)
| converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) != converse(composition(complement(composition(X_128,composition(top,top))),complement(zero)))
| converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) = converse(composition(complement(composition(X_128,composition(top,top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),converse(composition(complement(composition(X_128,composition(top,top))),complement(zero)))) ),[1,0],$fot(composition(complement(composition(X_128,composition(top,top))),top))]]) ).
cnf(refute_0_3210,plain,
( composition(complement(composition(X_128,composition(top,top))),complement(zero)) != composition(complement(composition(X_128,composition(top,top))),top)
| converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) = converse(composition(complement(composition(X_128,composition(top,top))),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),converse(composition(complement(composition(X_128,composition(top,top))),complement(zero)))) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) = converse(composition(complement(composition(X_128,composition(top,top))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_128,composition(top,top))),complement(zero)),composition(complement(composition(X_128,composition(top,top))),top)) )],[refute_0_3207,refute_0_3210]) ).
cnf(refute_0_3212,plain,
composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128),
introduced(tautology,[refl,[$fot(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128))]]) ).
cnf(refute_0_3213,plain,
( composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) != composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128)
| converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) != converse(composition(complement(composition(X_128,composition(top,top))),top))
| composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128),composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128)) ),[1,0],$fot(converse(composition(complement(composition(X_128,composition(top,top))),top)))]]) ).
cnf(refute_0_3214,plain,
( converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))) != converse(composition(complement(composition(X_128,composition(top,top))),top))
| composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128),composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128)) )],[refute_0_3212,refute_0_3213]) ).
cnf(refute_0_3215,plain,
composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),converse(composition(complement(composition(X_128,composition(top,top))),top))) )],[refute_0_3211,refute_0_3214]) ).
cnf(refute_0_3216,plain,
( composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) != composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128)
| composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128) != composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128))),bind(Y,$fot(composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128))),bind(Z,$fot(composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))))]]) ).
cnf(refute_0_3217,plain,
( composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128) != composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128),composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128)) )],[refute_0_3215,refute_0_3216]) ).
cnf(refute_0_3218,plain,
composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(X_128,composition(top,top))),top)),X_128),composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) )],[refute_0_3203,refute_0_3217]) ).
cnf(refute_0_3219,plain,
converse(composition(converse(composition(converse(X_8),X_9)),X_7)) = composition(converse(X_7),composition(converse(X_8),X_9)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(composition(converse(X_8),X_9)))]]) ).
cnf(refute_0_3220,plain,
converse(composition(converse(X_8),X_9)) = composition(converse(X_9),X_8),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_8)),bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_3221,plain,
( converse(composition(converse(X_8),X_9)) != composition(converse(X_9),X_8)
| converse(composition(converse(composition(converse(X_8),X_9)),X_7)) != composition(converse(X_7),composition(converse(X_8),X_9))
| converse(composition(composition(converse(X_9),X_8),X_7)) = composition(converse(X_7),composition(converse(X_8),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_8),X_9)),X_7)),composition(converse(X_7),composition(converse(X_8),X_9))) ),[0,0,0],$fot(composition(converse(X_9),X_8))]]) ).
cnf(refute_0_3222,plain,
( converse(composition(converse(composition(converse(X_8),X_9)),X_7)) != composition(converse(X_7),composition(converse(X_8),X_9))
| converse(composition(composition(converse(X_9),X_8),X_7)) = composition(converse(X_7),composition(converse(X_8),X_9)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_8),X_9)),composition(converse(X_9),X_8)) )],[refute_0_3220,refute_0_3221]) ).
cnf(refute_0_3223,plain,
converse(composition(composition(converse(X_9),X_8),X_7)) = composition(converse(X_7),composition(converse(X_8),X_9)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_8),X_9)),X_7)),composition(converse(X_7),composition(converse(X_8),X_9))) )],[refute_0_3219,refute_0_3222]) ).
cnf(refute_0_3224,plain,
converse(composition(converse(X_9),composition(X_8,X_7))) = composition(converse(composition(X_8,X_7)),X_9),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_9)),bind(X_7,$fot(composition(X_8,X_7)))]]) ).
cnf(refute_0_3225,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_3226,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_1259,refute_0_3225]) ).
cnf(refute_0_3227,plain,
composition(composition(converse(X_9),X_8),X_7) = composition(converse(X_9),composition(X_8,X_7)),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(converse(X_9))),bind(X1,$fot(X_8)),bind(X2,$fot(X_7))]]) ).
cnf(refute_0_3228,plain,
converse(composition(composition(converse(X_9),X_8),X_7)) = converse(composition(composition(converse(X_9),X_8),X_7)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_9),X_8),X_7)))]]) ).
cnf(refute_0_3229,plain,
( composition(composition(converse(X_9),X_8),X_7) != composition(converse(X_9),composition(X_8,X_7))
| converse(composition(composition(converse(X_9),X_8),X_7)) != converse(composition(composition(converse(X_9),X_8),X_7))
| converse(composition(composition(converse(X_9),X_8),X_7)) = converse(composition(converse(X_9),composition(X_8,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_9),X_8),X_7)),converse(composition(composition(converse(X_9),X_8),X_7))) ),[1,0],$fot(composition(converse(X_9),composition(X_8,X_7)))]]) ).
cnf(refute_0_3230,plain,
( composition(composition(converse(X_9),X_8),X_7) != composition(converse(X_9),composition(X_8,X_7))
| converse(composition(composition(converse(X_9),X_8),X_7)) = converse(composition(converse(X_9),composition(X_8,X_7))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_9),X_8),X_7)),converse(composition(composition(converse(X_9),X_8),X_7))) )],[refute_0_3228,refute_0_3229]) ).
cnf(refute_0_3231,plain,
converse(composition(composition(converse(X_9),X_8),X_7)) = converse(composition(converse(X_9),composition(X_8,X_7))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_9),X_8),X_7),composition(converse(X_9),composition(X_8,X_7))) )],[refute_0_3227,refute_0_3230]) ).
cnf(refute_0_3232,plain,
( converse(composition(composition(converse(X_9),X_8),X_7)) != converse(composition(converse(X_9),composition(X_8,X_7)))
| converse(composition(converse(X_9),composition(X_8,X_7))) != composition(converse(composition(X_8,X_7)),X_9)
| converse(composition(composition(converse(X_9),X_8),X_7)) = composition(converse(composition(X_8,X_7)),X_9) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(composition(converse(X_9),X_8),X_7)))),bind(Y,$fot(converse(composition(converse(X_9),composition(X_8,X_7))))),bind(Z,$fot(composition(converse(composition(X_8,X_7)),X_9)))]]) ).
cnf(refute_0_3233,plain,
( converse(composition(converse(X_9),composition(X_8,X_7))) != composition(converse(composition(X_8,X_7)),X_9)
| converse(composition(composition(converse(X_9),X_8),X_7)) = composition(converse(composition(X_8,X_7)),X_9) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_9),X_8),X_7)),converse(composition(converse(X_9),composition(X_8,X_7)))) )],[refute_0_3231,refute_0_3232]) ).
cnf(refute_0_3234,plain,
converse(composition(composition(converse(X_9),X_8),X_7)) = composition(converse(composition(X_8,X_7)),X_9),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_9),composition(X_8,X_7))),composition(converse(composition(X_8,X_7)),X_9)) )],[refute_0_3224,refute_0_3233]) ).
cnf(refute_0_3235,plain,
( converse(composition(composition(converse(X_9),X_8),X_7)) != composition(converse(X_7),composition(converse(X_8),X_9))
| converse(composition(composition(converse(X_9),X_8),X_7)) != composition(converse(composition(X_8,X_7)),X_9)
| composition(converse(composition(X_8,X_7)),X_9) = composition(converse(X_7),composition(converse(X_8),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_9),X_8),X_7)),composition(converse(X_7),composition(converse(X_8),X_9))) ),[0],$fot(composition(converse(composition(X_8,X_7)),X_9))]]) ).
cnf(refute_0_3236,plain,
( converse(composition(composition(converse(X_9),X_8),X_7)) != composition(converse(X_7),composition(converse(X_8),X_9))
| composition(converse(composition(X_8,X_7)),X_9) = composition(converse(X_7),composition(converse(X_8),X_9)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_9),X_8),X_7)),composition(converse(composition(X_8,X_7)),X_9)) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
composition(converse(composition(X_8,X_7)),X_9) = composition(converse(X_7),composition(converse(X_8),X_9)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_9),X_8),X_7)),composition(converse(X_7),composition(converse(X_8),X_9))) )],[refute_0_3223,refute_0_3236]) ).
cnf(refute_0_3238,plain,
( composition(converse(composition(X_8,X_7)),X_9) != composition(converse(X_7),composition(converse(X_8),X_9))
| composition(converse(X_7),composition(converse(X_8),X_9)) = composition(converse(composition(X_8,X_7)),X_9) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(converse(composition(X_8,X_7)),X_9))),bind(Y,$fot(composition(converse(X_7),composition(converse(X_8),X_9))))]]) ).
cnf(refute_0_3239,plain,
composition(converse(X_7),composition(converse(X_8),X_9)) = composition(converse(composition(X_8,X_7)),X_9),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_8,X_7)),X_9),composition(converse(X_7),composition(converse(X_8),X_9))) )],[refute_0_3237,refute_0_3238]) ).
cnf(refute_0_3240,plain,
composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) = composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128),
inference(subst,[],[refute_0_3239:[bind(X_7,$fot(complement(zero))),bind(X_8,$fot(complement(composition(X_128,composition(top,top))))),bind(X_9,$fot(X_128))]]) ).
cnf(refute_0_3241,plain,
( composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) != composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128)
| composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) != composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)))),bind(Y,$fot(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128))),bind(Z,$fot(composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))))]]) ).
cnf(refute_0_3242,plain,
( composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128) != composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128)) )],[refute_0_3240,refute_0_3241]) ).
cnf(refute_0_3243,plain,
composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(X_128,composition(top,top))),complement(zero))),X_128),composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) )],[refute_0_3218,refute_0_3242]) ).
cnf(refute_0_3244,plain,
( composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) != composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| zero != composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| zero = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) ),[1],$fot(composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)))]]) ).
cnf(refute_0_3245,plain,
( zero != composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))
| zero = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) )],[refute_0_3243,refute_0_3244]) ).
cnf(refute_0_3246,plain,
zero = composition(top,composition(converse(complement(composition(X_128,composition(top,top)))),X_128)),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(zero)),composition(converse(complement(composition(X_128,composition(top,top)))),X_128))) )],[refute_0_3185,refute_0_3245]) ).
cnf(refute_0_3247,plain,
zero = composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135)),
inference(subst,[],[refute_0_3246:[bind(X_128,$fot(X_135))]]) ).
cnf(refute_0_3248,plain,
( zero != composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))
| composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))))]]) ).
cnf(refute_0_3249,plain,
composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))) )],[refute_0_3247,refute_0_3248]) ).
cnf(refute_0_3250,plain,
( composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135)) != zero
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))))) != complement(X_135)
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = complement(X_135) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))))),complement(X_135)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3251,plain,
( join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))))) != complement(X_135)
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = complement(X_135) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135)),zero) )],[refute_0_3249,refute_0_3250]) ).
cnf(refute_0_3252,plain,
join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = complement(X_135),
inference(resolve,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(composition(top,composition(converse(complement(composition(X_135,composition(top,top)))),X_135))))),complement(X_135)) )],[refute_0_3151,refute_0_3251]) ).
cnf(refute_0_3253,plain,
composition(top,complement(zero)) = composition(top,complement(zero)),
introduced(tautology,[refl,[$fot(composition(top,complement(zero)))]]) ).
cnf(refute_0_3254,plain,
( complement(zero) != top
| composition(top,complement(zero)) != composition(top,complement(zero))
| composition(top,complement(zero)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(zero)),composition(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3255,plain,
( complement(zero) != top
| composition(top,complement(zero)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(zero)),composition(top,complement(zero))) )],[refute_0_3253,refute_0_3254]) ).
cnf(refute_0_3256,plain,
composition(top,complement(zero)) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_3255]) ).
cnf(refute_0_3257,plain,
composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))))]]) ).
cnf(refute_0_3258,plain,
( composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) != composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero)))
| composition(top,complement(zero)) != composition(top,top)
| composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))),composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero)))) ),[1,1],$fot(composition(top,top))]]) ).
cnf(refute_0_3259,plain,
( composition(top,complement(zero)) != composition(top,top)
| composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))),composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero)))) )],[refute_0_3257,refute_0_3258]) ).
cnf(refute_0_3260,plain,
composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)),
inference(resolve,[$cnf( $equal(composition(top,complement(zero)),composition(top,top)) )],[refute_0_3256,refute_0_3259]) ).
cnf(refute_0_3261,plain,
converse(converse(complement(composition(X_135,composition(top,top))))) = complement(composition(X_135,composition(top,top))),
inference(subst,[],[refute_0_43:[bind(X0,$fot(complement(composition(X_135,composition(top,top)))))]]) ).
cnf(refute_0_3262,plain,
composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))))]]) ).
cnf(refute_0_3263,plain,
( composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) != composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero)))
| converse(converse(complement(composition(X_135,composition(top,top))))) != complement(composition(X_135,composition(top,top)))
| composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))),composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero)))) ),[1,0],$fot(complement(composition(X_135,composition(top,top))))]]) ).
cnf(refute_0_3264,plain,
( converse(converse(complement(composition(X_135,composition(top,top))))) != complement(composition(X_135,composition(top,top)))
| composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))),composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero)))) )],[refute_0_3262,refute_0_3263]) ).
cnf(refute_0_3265,plain,
composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(X_135,composition(top,top))))),complement(composition(X_135,composition(top,top)))) )],[refute_0_3261,refute_0_3264]) ).
cnf(refute_0_3266,plain,
( composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) != composition(complement(composition(X_135,composition(top,top))),composition(top,top))
| composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) != composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero)))
| composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))))),bind(Y,$fot(composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))))),bind(Z,$fot(composition(complement(composition(X_135,composition(top,top))),composition(top,top))))]]) ).
cnf(refute_0_3267,plain,
( composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))) != composition(complement(composition(X_135,composition(top,top))),composition(top,top))
| composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))),composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero)))) )],[refute_0_3265,refute_0_3266]) ).
cnf(refute_0_3268,plain,
composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_135,composition(top,top))),composition(top,complement(zero))),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) )],[refute_0_3260,refute_0_3267]) ).
cnf(refute_0_3269,plain,
composition(converse(X_73),composition(top,X2)) = composition(composition(converse(X_73),top),X2),
inference(subst,[],[refute_0_1259:[bind(X0,$fot(converse(X_73))),bind(X1,$fot(top))]]) ).
cnf(refute_0_3270,plain,
converse(composition(converse(top),X_7)) = composition(converse(X_7),top),
inference(subst,[],[refute_0_46:[bind(X0,$fot(top))]]) ).
cnf(refute_0_3271,plain,
( converse(composition(converse(top),X_7)) != composition(converse(X_7),top)
| converse(top) != top
| converse(composition(top,X_7)) = composition(converse(X_7),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_7)),composition(converse(X_7),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_3272,plain,
( converse(composition(converse(top),X_7)) != composition(converse(X_7),top)
| converse(composition(top,X_7)) = composition(converse(X_7),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_3271]) ).
cnf(refute_0_3273,plain,
converse(composition(top,X_7)) = composition(converse(X_7),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_7)),composition(converse(X_7),top)) )],[refute_0_3270,refute_0_3272]) ).
cnf(refute_0_3274,plain,
converse(composition(top,X_73)) = composition(converse(X_73),top),
inference(subst,[],[refute_0_3273:[bind(X_7,$fot(X_73))]]) ).
cnf(refute_0_3275,plain,
( converse(composition(top,X_73)) != composition(converse(X_73),top)
| composition(converse(X_73),top) = converse(composition(top,X_73)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(top,X_73)))),bind(Y,$fot(composition(converse(X_73),top)))]]) ).
cnf(refute_0_3276,plain,
composition(converse(X_73),top) = converse(composition(top,X_73)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_73)),composition(converse(X_73),top)) )],[refute_0_3274,refute_0_3275]) ).
cnf(refute_0_3277,plain,
( composition(converse(X_73),composition(top,X2)) != composition(composition(converse(X_73),top),X2)
| composition(converse(X_73),top) != converse(composition(top,X_73))
| composition(converse(X_73),composition(top,X2)) = composition(converse(composition(top,X_73)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_73),composition(top,X2)),composition(composition(converse(X_73),top),X2)) ),[1,0],$fot(converse(composition(top,X_73)))]]) ).
cnf(refute_0_3278,plain,
( composition(converse(X_73),composition(top,X2)) != composition(composition(converse(X_73),top),X2)
| composition(converse(X_73),composition(top,X2)) = composition(converse(composition(top,X_73)),X2) ),
inference(resolve,[$cnf( $equal(composition(converse(X_73),top),converse(composition(top,X_73))) )],[refute_0_3276,refute_0_3277]) ).
cnf(refute_0_3279,plain,
composition(converse(X_73),composition(top,X2)) = composition(converse(composition(top,X_73)),X2),
inference(resolve,[$cnf( $equal(composition(converse(X_73),composition(top,X2)),composition(composition(converse(X_73),top),X2)) )],[refute_0_3269,refute_0_3278]) ).
cnf(refute_0_3280,plain,
( composition(converse(X_73),composition(top,X2)) != composition(converse(composition(top,X_73)),X2)
| composition(converse(composition(top,X_73)),X2) = composition(converse(X_73),composition(top,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(converse(X_73),composition(top,X2)))),bind(Y,$fot(composition(converse(composition(top,X_73)),X2)))]]) ).
cnf(refute_0_3281,plain,
composition(converse(composition(top,X_73)),X2) = composition(converse(X_73),composition(top,X2)),
inference(resolve,[$cnf( $equal(composition(converse(X_73),composition(top,X2)),composition(converse(composition(top,X_73)),X2)) )],[refute_0_3279,refute_0_3280]) ).
cnf(refute_0_3282,plain,
composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) = composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))),
inference(subst,[],[refute_0_3281:[bind(X2,$fot(complement(zero))),bind(X_73,$fot(converse(complement(composition(X_135,composition(top,top))))))]]) ).
cnf(refute_0_3283,plain,
( composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) != composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero)))
| composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) != composition(complement(composition(X_135,composition(top,top))),composition(top,top))
| composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)))),bind(Y,$fot(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))))),bind(Z,$fot(composition(complement(composition(X_135,composition(top,top))),composition(top,top))))]]) ).
cnf(refute_0_3284,plain,
( composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))) != composition(complement(composition(X_135,composition(top,top))),composition(top,top))
| composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)),composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero)))) )],[refute_0_3282,refute_0_3283]) ).
cnf(refute_0_3285,plain,
composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) = composition(complement(composition(X_135,composition(top,top))),composition(top,top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X_135,composition(top,top))))),composition(top,complement(zero))),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) )],[refute_0_3268,refute_0_3284]) ).
cnf(refute_0_3286,plain,
join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))))]]) ).
cnf(refute_0_3287,plain,
( composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) != composition(complement(composition(X_135,composition(top,top))),composition(top,top))
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) != join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)))
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))),join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(X_135,composition(top,top))),composition(top,top)))]]) ).
cnf(refute_0_3288,plain,
( composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)) != composition(complement(composition(X_135,composition(top,top))),composition(top,top))
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))),join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)))) )],[refute_0_3286,refute_0_3287]) ).
cnf(refute_0_3289,plain,
join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) = join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero)),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) )],[refute_0_3285,refute_0_3288]) ).
cnf(refute_0_3290,plain,
( join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) != complement(X_135)
| join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) != join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top)))
| join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) = complement(X_135) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))),complement(X_135)) ),[0],$fot(join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))))]]) ).
cnf(refute_0_3291,plain,
( join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))) != complement(X_135)
| join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) = complement(X_135) ),
inference(resolve,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))),join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top)))) )],[refute_0_3289,refute_0_3290]) ).
cnf(refute_0_3292,plain,
join(complement(X_135),composition(complement(composition(X_135,composition(top,top))),composition(top,top))) = complement(X_135),
inference(resolve,[$cnf( $equal(join(complement(X_135),composition(converse(composition(top,converse(complement(composition(X_135,composition(top,top)))))),complement(zero))),complement(X_135)) )],[refute_0_3252,refute_0_3291]) ).
cnf(refute_0_3293,plain,
join(complement(complement(X_83)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = complement(complement(X_83)),
inference(subst,[],[refute_0_3292:[bind(X_135,$fot(complement(X_83)))]]) ).
cnf(refute_0_3294,plain,
( complement(complement(X_83)) != X_83
| join(complement(complement(X_83)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != complement(complement(X_83))
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = complement(complement(X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_83)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),complement(complement(X_83))) ),[0,0],$fot(X_83)]]) ).
cnf(refute_0_3295,plain,
( join(complement(complement(X_83)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != complement(complement(X_83))
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = complement(complement(X_83)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_3294]) ).
cnf(refute_0_3296,plain,
join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = complement(complement(X_83)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_83)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),complement(complement(X_83))) )],[refute_0_3293,refute_0_3295]) ).
cnf(refute_0_3297,plain,
( complement(complement(X_83)) != X_83
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != complement(complement(X_83))
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = X_83 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),complement(complement(X_83))) ),[1],$fot(X_83)]]) ).
cnf(refute_0_3298,plain,
( join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != complement(complement(X_83))
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = X_83 ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_3297]) ).
cnf(refute_0_3299,plain,
join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = X_83,
inference(resolve,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),complement(complement(X_83))) )],[refute_0_3296,refute_0_3298]) ).
cnf(refute_0_3300,plain,
join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))),
inference(subst,[],[refute_0_39:[bind(X0,$fot(top)),bind(X1,$fot(composition(zero,complement(composition(zero,composition(top,top))))))]]) ).
cnf(refute_0_3301,plain,
join(zero,composition(converse(X_36),complement(composition(X_36,top)))) = composition(converse(X_36),complement(composition(X_36,top))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(converse(X_36),complement(composition(X_36,top)))))]]) ).
cnf(refute_0_3302,plain,
( join(zero,composition(converse(X_36),complement(composition(X_36,top)))) != composition(converse(X_36),complement(composition(X_36,top)))
| join(zero,composition(converse(X_36),complement(composition(X_36,top)))) != zero
| composition(converse(X_36),complement(composition(X_36,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_36),complement(composition(X_36,top)))),zero) ),[0],$fot(composition(converse(X_36),complement(composition(X_36,top))))]]) ).
cnf(refute_0_3303,plain,
( join(zero,composition(converse(X_36),complement(composition(X_36,top)))) != zero
| composition(converse(X_36),complement(composition(X_36,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_36),complement(composition(X_36,top)))),composition(converse(X_36),complement(composition(X_36,top)))) )],[refute_0_3301,refute_0_3302]) ).
cnf(refute_0_3304,plain,
composition(converse(X_36),complement(composition(X_36,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_36),complement(composition(X_36,top)))),zero) )],[refute_0_1269,refute_0_3303]) ).
cnf(refute_0_3305,plain,
composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))) = zero,
inference(subst,[],[refute_0_3304:[bind(X_36,$fot(composition(zero,top)))]]) ).
cnf(refute_0_3306,plain,
converse(composition(zero,top)) = composition(top,converse(zero)),
inference(subst,[],[refute_0_3194:[bind(X_6,$fot(zero))]]) ).
cnf(refute_0_3307,plain,
( converse(composition(zero,top)) != composition(top,converse(zero))
| converse(zero) != zero
| converse(composition(zero,top)) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(zero,top)),composition(top,converse(zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3308,plain,
( converse(composition(zero,top)) != composition(top,converse(zero))
| converse(composition(zero,top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_3307]) ).
cnf(refute_0_3309,plain,
converse(composition(zero,top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(converse(composition(zero,top)),composition(top,converse(zero))) )],[refute_0_3306,refute_0_3308]) ).
cnf(refute_0_3310,plain,
( composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))) != zero
| converse(composition(zero,top)) != composition(top,zero)
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))),zero) ),[0,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_3311,plain,
( composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))) != zero
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(zero,top)),composition(top,zero)) )],[refute_0_3309,refute_0_3310]) ).
cnf(refute_0_3312,plain,
composition(composition(top,zero),complement(composition(composition(zero,top),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))),zero) )],[refute_0_3305,refute_0_3311]) ).
cnf(refute_0_3313,plain,
composition(composition(zero,top),top) = composition(zero,composition(top,top)),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(zero)),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3314,plain,
complement(composition(composition(zero,top),top)) = complement(composition(composition(zero,top),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(zero,top),top)))]]) ).
cnf(refute_0_3315,plain,
( complement(composition(composition(zero,top),top)) != complement(composition(composition(zero,top),top))
| composition(composition(zero,top),top) != composition(zero,composition(top,top))
| complement(composition(composition(zero,top),top)) = complement(composition(zero,composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(zero,top),top)),complement(composition(composition(zero,top),top))) ),[1,0],$fot(composition(zero,composition(top,top)))]]) ).
cnf(refute_0_3316,plain,
( composition(composition(zero,top),top) != composition(zero,composition(top,top))
| complement(composition(composition(zero,top),top)) = complement(composition(zero,composition(top,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(zero,top),top)),complement(composition(composition(zero,top),top))) )],[refute_0_3314,refute_0_3315]) ).
cnf(refute_0_3317,plain,
complement(composition(composition(zero,top),top)) = complement(composition(zero,composition(top,top))),
inference(resolve,[$cnf( $equal(composition(composition(zero,top),top),composition(zero,composition(top,top))) )],[refute_0_3313,refute_0_3316]) ).
cnf(refute_0_3318,plain,
composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(composition(zero,top),top))),
introduced(tautology,[refl,[$fot(composition(zero,complement(composition(composition(zero,top),top))))]]) ).
cnf(refute_0_3319,plain,
( complement(composition(composition(zero,top),top)) != complement(composition(zero,composition(top,top)))
| composition(zero,complement(composition(composition(zero,top),top))) != composition(zero,complement(composition(composition(zero,top),top)))
| composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(zero,composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(composition(zero,top),top))),composition(zero,complement(composition(composition(zero,top),top)))) ),[1,1],$fot(complement(composition(zero,composition(top,top))))]]) ).
cnf(refute_0_3320,plain,
( complement(composition(composition(zero,top),top)) != complement(composition(zero,composition(top,top)))
| composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(zero,composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(composition(zero,top),top))),composition(zero,complement(composition(composition(zero,top),top)))) )],[refute_0_3318,refute_0_3319]) ).
cnf(refute_0_3321,plain,
composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(zero,composition(top,top)))),
inference(resolve,[$cnf( $equal(complement(composition(composition(zero,top),top)),complement(composition(zero,composition(top,top)))) )],[refute_0_3317,refute_0_3320]) ).
cnf(refute_0_3322,plain,
composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(composition(zero,top),top)))),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,complement(composition(composition(zero,top),top)))))]]) ).
cnf(refute_0_3323,plain,
( composition(top,composition(zero,complement(composition(composition(zero,top),top)))) != composition(top,composition(zero,complement(composition(composition(zero,top),top))))
| composition(zero,complement(composition(composition(zero,top),top))) != composition(zero,complement(composition(zero,composition(top,top))))
| composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,complement(composition(composition(zero,top),top)))),composition(top,composition(zero,complement(composition(composition(zero,top),top))))) ),[1,1],$fot(composition(zero,complement(composition(zero,composition(top,top)))))]]) ).
cnf(refute_0_3324,plain,
( composition(zero,complement(composition(composition(zero,top),top))) != composition(zero,complement(composition(zero,composition(top,top))))
| composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(composition(zero,top),top)))),composition(top,composition(zero,complement(composition(composition(zero,top),top))))) )],[refute_0_3322,refute_0_3323]) ).
cnf(refute_0_3325,plain,
composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(composition(zero,top),top))),composition(zero,complement(composition(zero,composition(top,top))))) )],[refute_0_3321,refute_0_3324]) ).
cnf(refute_0_3326,plain,
composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(composition(zero,top),top)))),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(complement(composition(composition(zero,top),top))))]]) ).
cnf(refute_0_3327,plain,
( composition(composition(top,zero),complement(composition(composition(zero,top),top))) != composition(top,composition(zero,complement(composition(composition(zero,top),top))))
| composition(top,composition(zero,complement(composition(composition(zero,top),top)))) != composition(top,composition(zero,complement(composition(zero,composition(top,top)))))
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(composition(top,zero),complement(composition(composition(zero,top),top))))),bind(Y,$fot(composition(top,composition(zero,complement(composition(composition(zero,top),top)))))),bind(Z,$fot(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))]]) ).
cnf(refute_0_3328,plain,
( composition(top,composition(zero,complement(composition(composition(zero,top),top)))) != composition(top,composition(zero,complement(composition(zero,composition(top,top)))))
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),composition(top,composition(zero,complement(composition(composition(zero,top),top))))) )],[refute_0_3326,refute_0_3327]) ).
cnf(refute_0_3329,plain,
composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(composition(zero,top),top)))),composition(top,composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3325,refute_0_3328]) ).
cnf(refute_0_3330,plain,
( composition(composition(top,zero),complement(composition(composition(zero,top),top))) != composition(top,composition(zero,complement(composition(zero,composition(top,top)))))
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) != zero
| composition(top,composition(zero,complement(composition(zero,composition(top,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),zero) ),[0],$fot(composition(top,composition(zero,complement(composition(zero,composition(top,top))))))]]) ).
cnf(refute_0_3331,plain,
( composition(composition(top,zero),complement(composition(composition(zero,top),top))) != zero
| composition(top,composition(zero,complement(composition(zero,composition(top,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),composition(top,composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3329,refute_0_3330]) ).
cnf(refute_0_3332,plain,
composition(top,composition(zero,complement(composition(zero,composition(top,top))))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),zero) )],[refute_0_3312,refute_0_3331]) ).
cnf(refute_0_3333,plain,
( composition(top,composition(zero,complement(composition(zero,composition(top,top))))) != zero
| join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = complement(composition(zero,complement(composition(zero,composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3334,plain,
( join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = complement(composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),zero) )],[refute_0_3332,refute_0_3333]) ).
cnf(refute_0_3335,plain,
join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = complement(composition(zero,complement(composition(zero,composition(top,top))))),
inference(resolve,[$cnf( $equal(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3300,refute_0_3334]) ).
cnf(refute_0_3336,plain,
composition(converse(top),complement(zero)) = composition(converse(top),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(zero)))]]) ).
cnf(refute_0_3337,plain,
( composition(converse(top),complement(zero)) != composition(converse(top),complement(zero))
| converse(top) != top
| composition(converse(top),complement(zero)) = composition(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(zero)),composition(converse(top),complement(zero))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3338,plain,
( converse(top) != top
| composition(converse(top),complement(zero)) = composition(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(zero)),composition(converse(top),complement(zero))) )],[refute_0_3336,refute_0_3337]) ).
cnf(refute_0_3339,plain,
composition(converse(top),complement(zero)) = composition(top,complement(zero)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_3338]) ).
cnf(refute_0_3340,plain,
( composition(converse(top),complement(zero)) != composition(top,complement(zero))
| composition(top,complement(zero)) != composition(top,top)
| composition(converse(top),complement(zero)) = composition(top,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(top),complement(zero)))),bind(Y,$fot(composition(top,complement(zero)))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_3341,plain,
( composition(top,complement(zero)) != composition(top,top)
| composition(converse(top),complement(zero)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(zero)),composition(top,complement(zero))) )],[refute_0_3339,refute_0_3340]) ).
cnf(refute_0_3342,plain,
composition(converse(top),complement(zero)) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(top,complement(zero)),composition(top,top)) )],[refute_0_3256,refute_0_3341]) ).
cnf(refute_0_3343,plain,
join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))),
introduced(tautology,[refl,[$fot(join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))))]]) ).
cnf(refute_0_3344,plain,
( composition(converse(top),complement(zero)) != composition(top,top)
| join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top))))))
| join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))),join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top))))))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_3345,plain,
( composition(converse(top),complement(zero)) != composition(top,top)
| join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))),join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top))))))) )],[refute_0_3343,refute_0_3344]) ).
cnf(refute_0_3346,plain,
join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(zero)),composition(top,top)) )],[refute_0_3342,refute_0_3345]) ).
cnf(refute_0_3347,plain,
join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(composition(converse(top),complement(zero)))),bind(X1,$fot(complement(composition(zero,complement(composition(zero,composition(top,top)))))))]]) ).
cnf(refute_0_3348,plain,
( join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) != join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top))))))
| join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))
| join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))))),bind(Y,$fot(join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))))),bind(Z,$fot(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))))]]) ).
cnf(refute_0_3349,plain,
( join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))
| join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))),join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top))))))) )],[refute_0_3347,refute_0_3348]) ).
cnf(refute_0_3350,plain,
join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),
inference(resolve,[$cnf( $equal(join(composition(converse(top),complement(zero)),complement(composition(zero,complement(composition(zero,composition(top,top)))))),join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))) )],[refute_0_3346,refute_0_3349]) ).
cnf(refute_0_3351,plain,
( join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) != join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))
| join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),[0],$fot(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))))]]) ).
cnf(refute_0_3352,plain,
( join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))),join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))) )],[refute_0_3350,refute_0_3351]) ).
cnf(refute_0_3353,plain,
join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))),
inference(resolve,[$cnf( $equal(join(complement(composition(zero,complement(composition(zero,composition(top,top))))),composition(converse(top),complement(zero))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3335,refute_0_3352]) ).
cnf(refute_0_3354,plain,
converse(composition(composition(top,zero),top)) = composition(top,converse(composition(top,zero))),
inference(subst,[],[refute_0_3194:[bind(X_6,$fot(composition(top,zero)))]]) ).
cnf(refute_0_3355,plain,
converse(composition(top,zero)) = composition(converse(zero),top),
inference(subst,[],[refute_0_3273:[bind(X_7,$fot(zero))]]) ).
cnf(refute_0_3356,plain,
( converse(composition(top,zero)) != composition(converse(zero),top)
| converse(zero) != zero
| converse(composition(top,zero)) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,zero)),composition(converse(zero),top)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3357,plain,
( converse(composition(top,zero)) != composition(converse(zero),top)
| converse(composition(top,zero)) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_3356]) ).
cnf(refute_0_3358,plain,
converse(composition(top,zero)) = composition(zero,top),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),composition(converse(zero),top)) )],[refute_0_3355,refute_0_3357]) ).
cnf(refute_0_3359,plain,
( converse(composition(composition(top,zero),top)) != composition(top,converse(composition(top,zero)))
| converse(composition(top,zero)) != composition(zero,top)
| converse(composition(composition(top,zero),top)) = composition(top,composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,zero),top)),composition(top,converse(composition(top,zero)))) ),[1,1],$fot(composition(zero,top))]]) ).
cnf(refute_0_3360,plain,
( converse(composition(composition(top,zero),top)) != composition(top,converse(composition(top,zero)))
| converse(composition(composition(top,zero),top)) = composition(top,composition(zero,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),composition(zero,top)) )],[refute_0_3358,refute_0_3359]) ).
cnf(refute_0_3361,plain,
converse(composition(composition(top,zero),top)) = composition(top,composition(zero,top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,zero),top)),composition(top,converse(composition(top,zero)))) )],[refute_0_3354,refute_0_3360]) ).
cnf(refute_0_3362,plain,
composition(composition(top,zero),top) = composition(top,composition(zero,top)),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3363,plain,
converse(composition(composition(top,zero),top)) = converse(composition(composition(top,zero),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,zero),top)))]]) ).
cnf(refute_0_3364,plain,
( composition(composition(top,zero),top) != composition(top,composition(zero,top))
| converse(composition(composition(top,zero),top)) != converse(composition(composition(top,zero),top))
| converse(composition(composition(top,zero),top)) = converse(composition(top,composition(zero,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,zero),top)),converse(composition(composition(top,zero),top))) ),[1,0],$fot(composition(top,composition(zero,top)))]]) ).
cnf(refute_0_3365,plain,
( composition(composition(top,zero),top) != composition(top,composition(zero,top))
| converse(composition(composition(top,zero),top)) = converse(composition(top,composition(zero,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,zero),top)),converse(composition(composition(top,zero),top))) )],[refute_0_3363,refute_0_3364]) ).
cnf(refute_0_3366,plain,
converse(composition(composition(top,zero),top)) = converse(composition(top,composition(zero,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),top),composition(top,composition(zero,top))) )],[refute_0_3362,refute_0_3365]) ).
cnf(refute_0_3367,plain,
( converse(composition(composition(top,zero),top)) != composition(top,composition(zero,top))
| converse(composition(composition(top,zero),top)) != converse(composition(top,composition(zero,top)))
| converse(composition(top,composition(zero,top))) = composition(top,composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,zero),top)),composition(top,composition(zero,top))) ),[0],$fot(converse(composition(top,composition(zero,top))))]]) ).
cnf(refute_0_3368,plain,
( converse(composition(composition(top,zero),top)) != composition(top,composition(zero,top))
| converse(composition(top,composition(zero,top))) = composition(top,composition(zero,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,zero),top)),converse(composition(top,composition(zero,top)))) )],[refute_0_3366,refute_0_3367]) ).
cnf(refute_0_3369,plain,
converse(composition(top,composition(zero,top))) = composition(top,composition(zero,top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,zero),top)),composition(top,composition(zero,top))) )],[refute_0_3361,refute_0_3368]) ).
cnf(refute_0_3370,plain,
converse(composition(top,composition(top,zero))) = composition(converse(composition(top,zero)),top),
inference(subst,[],[refute_0_3273:[bind(X_7,$fot(composition(top,zero)))]]) ).
cnf(refute_0_3371,plain,
( converse(composition(top,composition(top,zero))) != composition(converse(composition(top,zero)),top)
| converse(composition(top,zero)) != composition(zero,top)
| converse(composition(top,composition(top,zero))) = composition(composition(zero,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(converse(composition(top,zero)),top)) ),[1,0],$fot(composition(zero,top))]]) ).
cnf(refute_0_3372,plain,
( converse(composition(top,composition(top,zero))) != composition(converse(composition(top,zero)),top)
| converse(composition(top,composition(top,zero))) = composition(composition(zero,top),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),composition(zero,top)) )],[refute_0_3358,refute_0_3371]) ).
cnf(refute_0_3373,plain,
converse(composition(top,composition(top,zero))) = composition(composition(zero,top),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(converse(composition(top,zero)),top)) )],[refute_0_3370,refute_0_3372]) ).
cnf(refute_0_3374,plain,
( composition(composition(zero,top),top) != composition(zero,composition(top,top))
| converse(composition(top,composition(top,zero))) != composition(composition(zero,top),top)
| converse(composition(top,composition(top,zero))) = composition(zero,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(composition(zero,top),top)) ),[1],$fot(composition(zero,composition(top,top)))]]) ).
cnf(refute_0_3375,plain,
( converse(composition(top,composition(top,zero))) != composition(composition(zero,top),top)
| converse(composition(top,composition(top,zero))) = composition(zero,composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(zero,top),top),composition(zero,composition(top,top))) )],[refute_0_3313,refute_0_3374]) ).
cnf(refute_0_3376,plain,
converse(composition(top,composition(top,zero))) = composition(zero,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(composition(zero,top),top)) )],[refute_0_3373,refute_0_3375]) ).
cnf(refute_0_3377,plain,
converse(composition(top,composition(complement(composition(top,top)),top))) = composition(converse(composition(complement(composition(top,top)),top)),top),
inference(subst,[],[refute_0_3273:[bind(X_7,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_3378,plain,
zero = composition(top,composition(converse(complement(composition(one,composition(top,top)))),one)),
inference(subst,[],[refute_0_3246:[bind(X_128,$fot(one))]]) ).
cnf(refute_0_3379,plain,
composition(top,top) = composition(one,composition(top,top)),
inference(subst,[],[refute_0_72:[bind(X_8,$fot(composition(top,top)))]]) ).
cnf(refute_0_3380,plain,
( composition(top,top) != composition(one,composition(top,top))
| composition(one,composition(top,top)) = composition(top,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,top))),bind(Y,$fot(composition(one,composition(top,top))))]]) ).
cnf(refute_0_3381,plain,
composition(one,composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(top,top),composition(one,composition(top,top))) )],[refute_0_3379,refute_0_3380]) ).
cnf(refute_0_3382,plain,
( composition(one,composition(top,top)) != composition(top,top)
| zero != composition(top,composition(converse(complement(composition(one,composition(top,top)))),one))
| zero = composition(top,composition(converse(complement(composition(top,top))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(top,composition(converse(complement(composition(one,composition(top,top)))),one))) ),[1,1,0,0,0],$fot(composition(top,top))]]) ).
cnf(refute_0_3383,plain,
( zero != composition(top,composition(converse(complement(composition(one,composition(top,top)))),one))
| zero = composition(top,composition(converse(complement(composition(top,top))),one)) ),
inference(resolve,[$cnf( $equal(composition(one,composition(top,top)),composition(top,top)) )],[refute_0_3381,refute_0_3382]) ).
cnf(refute_0_3384,plain,
zero = composition(top,composition(converse(complement(composition(top,top))),one)),
inference(resolve,[$cnf( $equal(zero,composition(top,composition(converse(complement(composition(one,composition(top,top)))),one))) )],[refute_0_3378,refute_0_3383]) ).
cnf(refute_0_3385,plain,
( converse(composition(X_6,top)) != composition(top,converse(X_6))
| composition(top,converse(X_6)) = converse(composition(X_6,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(X_6,top)))),bind(Y,$fot(composition(top,converse(X_6))))]]) ).
cnf(refute_0_3386,plain,
composition(top,converse(X_6)) = converse(composition(X_6,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,top)),composition(top,converse(X_6))) )],[refute_0_3194,refute_0_3385]) ).
cnf(refute_0_3387,plain,
composition(top,converse(complement(composition(top,top)))) = converse(composition(complement(composition(top,top)),top)),
inference(subst,[],[refute_0_3386:[bind(X_6,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_3388,plain,
composition(converse(complement(composition(top,top))),one) = converse(complement(composition(top,top))),
inference(subst,[],[refute_0_48:[bind(X0,$fot(converse(complement(composition(top,top)))))]]) ).
cnf(refute_0_3389,plain,
composition(top,composition(converse(complement(composition(top,top))),one)) = composition(top,composition(converse(complement(composition(top,top))),one)),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(complement(composition(top,top))),one)))]]) ).
cnf(refute_0_3390,plain,
( composition(converse(complement(composition(top,top))),one) != converse(complement(composition(top,top)))
| composition(top,composition(converse(complement(composition(top,top))),one)) != composition(top,composition(converse(complement(composition(top,top))),one))
| composition(top,composition(converse(complement(composition(top,top))),one)) = composition(top,converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,top))),one)),composition(top,composition(converse(complement(composition(top,top))),one))) ),[1,1],$fot(converse(complement(composition(top,top))))]]) ).
cnf(refute_0_3391,plain,
( composition(converse(complement(composition(top,top))),one) != converse(complement(composition(top,top)))
| composition(top,composition(converse(complement(composition(top,top))),one)) = composition(top,converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,top))),one)),composition(top,composition(converse(complement(composition(top,top))),one))) )],[refute_0_3389,refute_0_3390]) ).
cnf(refute_0_3392,plain,
composition(top,composition(converse(complement(composition(top,top))),one)) = composition(top,converse(complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),one),converse(complement(composition(top,top)))) )],[refute_0_3388,refute_0_3391]) ).
cnf(refute_0_3393,plain,
( composition(top,composition(converse(complement(composition(top,top))),one)) != composition(top,converse(complement(composition(top,top))))
| composition(top,converse(complement(composition(top,top)))) != converse(composition(complement(composition(top,top)),top))
| composition(top,composition(converse(complement(composition(top,top))),one)) = converse(composition(complement(composition(top,top)),top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(top,composition(converse(complement(composition(top,top))),one)))),bind(Y,$fot(composition(top,converse(complement(composition(top,top)))))),bind(Z,$fot(converse(composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_3394,plain,
( composition(top,converse(complement(composition(top,top)))) != converse(composition(complement(composition(top,top)),top))
| composition(top,composition(converse(complement(composition(top,top))),one)) = converse(composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,top))),one)),composition(top,converse(complement(composition(top,top))))) )],[refute_0_3392,refute_0_3393]) ).
cnf(refute_0_3395,plain,
composition(top,composition(converse(complement(composition(top,top))),one)) = converse(composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(composition(top,top)))),converse(composition(complement(composition(top,top)),top))) )],[refute_0_3387,refute_0_3394]) ).
cnf(refute_0_3396,plain,
( composition(top,composition(converse(complement(composition(top,top))),one)) != converse(composition(complement(composition(top,top)),top))
| zero != composition(top,composition(converse(complement(composition(top,top))),one))
| zero = converse(composition(complement(composition(top,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(top,composition(converse(complement(composition(top,top))),one))) ),[1],$fot(converse(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_3397,plain,
( zero != composition(top,composition(converse(complement(composition(top,top))),one))
| zero = converse(composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,top))),one)),converse(composition(complement(composition(top,top)),top))) )],[refute_0_3395,refute_0_3396]) ).
cnf(refute_0_3398,plain,
zero = converse(composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(zero,composition(top,composition(converse(complement(composition(top,top))),one))) )],[refute_0_3384,refute_0_3397]) ).
cnf(refute_0_3399,plain,
( zero != converse(composition(complement(composition(top,top)),top))
| converse(composition(complement(composition(top,top)),top)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(converse(composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_3400,plain,
converse(composition(complement(composition(top,top)),top)) = zero,
inference(resolve,[$cnf( $equal(zero,converse(composition(complement(composition(top,top)),top))) )],[refute_0_3398,refute_0_3399]) ).
cnf(refute_0_3401,plain,
( converse(composition(complement(composition(top,top)),top)) != zero
| converse(composition(top,composition(complement(composition(top,top)),top))) != composition(converse(composition(complement(composition(top,top)),top)),top)
| converse(composition(top,composition(complement(composition(top,top)),top))) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),composition(converse(composition(complement(composition(top,top)),top)),top)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3402,plain,
( converse(composition(top,composition(complement(composition(top,top)),top))) != composition(converse(composition(complement(composition(top,top)),top)),top)
| converse(composition(top,composition(complement(composition(top,top)),top))) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,top)),top)),zero) )],[refute_0_3400,refute_0_3401]) ).
cnf(refute_0_3403,plain,
converse(composition(top,composition(complement(composition(top,top)),top))) = composition(zero,top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),composition(converse(composition(complement(composition(top,top)),top)),top)) )],[refute_0_3377,refute_0_3402]) ).
cnf(refute_0_3404,plain,
composition(top,composition(complement(composition(top,top)),X2)) = composition(composition(top,complement(composition(top,top))),X2),
inference(subst,[],[refute_0_1259:[bind(X0,$fot(top)),bind(X1,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_3405,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(top,composition(complement(composition(top,top)),X2)) != composition(composition(top,complement(composition(top,top))),X2)
| composition(top,composition(complement(composition(top,top)),X2)) = composition(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),X2)),composition(composition(top,complement(composition(top,top))),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3406,plain,
( composition(top,composition(complement(composition(top,top)),X2)) != composition(composition(top,complement(composition(top,top))),X2)
| composition(top,composition(complement(composition(top,top)),X2)) = composition(zero,X2) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1281,refute_0_3405]) ).
cnf(refute_0_3407,plain,
composition(top,composition(complement(composition(top,top)),X2)) = composition(zero,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),X2)),composition(composition(top,complement(composition(top,top))),X2)) )],[refute_0_3404,refute_0_3406]) ).
cnf(refute_0_3408,plain,
composition(top,composition(complement(composition(top,top)),top)) = composition(zero,top),
inference(subst,[],[refute_0_3407:[bind(X2,$fot(top))]]) ).
cnf(refute_0_3409,plain,
converse(composition(top,composition(complement(composition(top,top)),top))) = converse(composition(top,composition(complement(composition(top,top)),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_3410,plain,
( composition(top,composition(complement(composition(top,top)),top)) != composition(zero,top)
| converse(composition(top,composition(complement(composition(top,top)),top))) != converse(composition(top,composition(complement(composition(top,top)),top)))
| converse(composition(top,composition(complement(composition(top,top)),top))) = converse(composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),converse(composition(top,composition(complement(composition(top,top)),top)))) ),[1,0],$fot(composition(zero,top))]]) ).
cnf(refute_0_3411,plain,
( composition(top,composition(complement(composition(top,top)),top)) != composition(zero,top)
| converse(composition(top,composition(complement(composition(top,top)),top))) = converse(composition(zero,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),converse(composition(top,composition(complement(composition(top,top)),top)))) )],[refute_0_3409,refute_0_3410]) ).
cnf(refute_0_3412,plain,
converse(composition(top,composition(complement(composition(top,top)),top))) = converse(composition(zero,top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),top)),composition(zero,top)) )],[refute_0_3408,refute_0_3411]) ).
cnf(refute_0_3413,plain,
( converse(composition(top,composition(complement(composition(top,top)),top))) != converse(composition(zero,top))
| converse(composition(zero,top)) != composition(top,zero)
| converse(composition(top,composition(complement(composition(top,top)),top))) = composition(top,zero) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,composition(complement(composition(top,top)),top))))),bind(Y,$fot(converse(composition(zero,top)))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_0_3414,plain,
( converse(composition(zero,top)) != composition(top,zero)
| converse(composition(top,composition(complement(composition(top,top)),top))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),converse(composition(zero,top))) )],[refute_0_3412,refute_0_3413]) ).
cnf(refute_0_3415,plain,
converse(composition(top,composition(complement(composition(top,top)),top))) = composition(top,zero),
inference(resolve,[$cnf( $equal(converse(composition(zero,top)),composition(top,zero)) )],[refute_0_3309,refute_0_3414]) ).
cnf(refute_0_3416,plain,
( converse(composition(top,composition(complement(composition(top,top)),top))) != composition(top,zero)
| converse(composition(top,composition(complement(composition(top,top)),top))) != composition(zero,top)
| composition(top,zero) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),composition(zero,top)) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_0_3417,plain,
( converse(composition(top,composition(complement(composition(top,top)),top))) != composition(zero,top)
| composition(top,zero) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),composition(top,zero)) )],[refute_0_3415,refute_0_3416]) ).
cnf(refute_0_3418,plain,
composition(top,zero) = composition(zero,top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(top,top)),top))),composition(zero,top)) )],[refute_0_3403,refute_0_3417]) ).
cnf(refute_0_3419,plain,
( composition(top,zero) != composition(zero,top)
| composition(zero,top) = composition(top,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,zero))),bind(Y,$fot(composition(zero,top)))]]) ).
cnf(refute_0_3420,plain,
composition(zero,top) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,zero),composition(zero,top)) )],[refute_0_3418,refute_0_3419]) ).
cnf(refute_0_3421,plain,
composition(top,composition(zero,top)) = composition(top,composition(zero,top)),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,top)))]]) ).
cnf(refute_0_3422,plain,
( composition(top,composition(zero,top)) != composition(top,composition(zero,top))
| composition(zero,top) != composition(top,zero)
| composition(top,composition(zero,top)) = composition(top,composition(top,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(zero,top))) ),[1,1],$fot(composition(top,zero))]]) ).
cnf(refute_0_3423,plain,
( composition(zero,top) != composition(top,zero)
| composition(top,composition(zero,top)) = composition(top,composition(top,zero)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(zero,top))) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
composition(top,composition(zero,top)) = composition(top,composition(top,zero)),
inference(resolve,[$cnf( $equal(composition(zero,top),composition(top,zero)) )],[refute_0_3420,refute_0_3423]) ).
cnf(refute_0_3425,plain,
converse(composition(top,composition(zero,top))) = converse(composition(top,composition(zero,top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(zero,top))))]]) ).
cnf(refute_0_3426,plain,
( composition(top,composition(zero,top)) != composition(top,composition(top,zero))
| converse(composition(top,composition(zero,top))) != converse(composition(top,composition(zero,top)))
| converse(composition(top,composition(zero,top))) = converse(composition(top,composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(zero,top))),converse(composition(top,composition(zero,top)))) ),[1,0],$fot(composition(top,composition(top,zero)))]]) ).
cnf(refute_0_3427,plain,
( composition(top,composition(zero,top)) != composition(top,composition(top,zero))
| converse(composition(top,composition(zero,top))) = converse(composition(top,composition(top,zero))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),converse(composition(top,composition(zero,top)))) )],[refute_0_3425,refute_0_3426]) ).
cnf(refute_0_3428,plain,
converse(composition(top,composition(zero,top))) = converse(composition(top,composition(top,zero))),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(top,zero))) )],[refute_0_3424,refute_0_3427]) ).
cnf(refute_0_3429,plain,
( converse(composition(top,composition(top,zero))) != composition(zero,composition(top,top))
| converse(composition(top,composition(zero,top))) != converse(composition(top,composition(top,zero)))
| converse(composition(top,composition(zero,top))) = composition(zero,composition(top,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,composition(zero,top))))),bind(Y,$fot(converse(composition(top,composition(top,zero))))),bind(Z,$fot(composition(zero,composition(top,top))))]]) ).
cnf(refute_0_3430,plain,
( converse(composition(top,composition(top,zero))) != composition(zero,composition(top,top))
| converse(composition(top,composition(zero,top))) = composition(zero,composition(top,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),converse(composition(top,composition(top,zero)))) )],[refute_0_3428,refute_0_3429]) ).
cnf(refute_0_3431,plain,
converse(composition(top,composition(zero,top))) = composition(zero,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(zero,composition(top,top))) )],[refute_0_3376,refute_0_3430]) ).
cnf(refute_0_3432,plain,
( converse(composition(top,composition(zero,top))) != composition(top,composition(zero,top))
| converse(composition(top,composition(zero,top))) != composition(zero,composition(top,top))
| composition(zero,composition(top,top)) = composition(top,composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(top,composition(zero,top))) ),[0],$fot(composition(zero,composition(top,top)))]]) ).
cnf(refute_0_3433,plain,
( converse(composition(top,composition(zero,top))) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(zero,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(zero,composition(top,top))) )],[refute_0_3431,refute_0_3432]) ).
cnf(refute_0_3434,plain,
( composition(top,composition(zero,top)) != composition(top,composition(top,zero))
| composition(zero,composition(top,top)) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(top,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(top,top)),composition(top,composition(zero,top))) ),[1],$fot(composition(top,composition(top,zero)))]]) ).
cnf(refute_0_3435,plain,
( composition(zero,composition(top,top)) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(top,zero)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(top,zero))) )],[refute_0_3424,refute_0_3434]) ).
cnf(refute_0_3436,plain,
( converse(composition(top,composition(zero,top))) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(top,zero)) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,top)),composition(top,composition(zero,top))) )],[refute_0_3433,refute_0_3435]) ).
cnf(refute_0_3437,plain,
composition(zero,composition(top,top)) = composition(top,composition(top,zero)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(top,composition(zero,top))) )],[refute_0_3369,refute_0_3436]) ).
cnf(refute_0_3438,plain,
complement(composition(zero,composition(top,top))) = complement(composition(zero,composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(zero,composition(top,top))))]]) ).
cnf(refute_0_3439,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(zero,composition(top,top)))
| composition(zero,composition(top,top)) != composition(top,composition(top,zero))
| complement(composition(zero,composition(top,top))) = complement(composition(top,composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(zero,composition(top,top)))) ),[1,0],$fot(composition(top,composition(top,zero)))]]) ).
cnf(refute_0_3440,plain,
( composition(zero,composition(top,top)) != composition(top,composition(top,zero))
| complement(composition(zero,composition(top,top))) = complement(composition(top,composition(top,zero))) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(zero,composition(top,top)))) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
complement(composition(zero,composition(top,top))) = complement(composition(top,composition(top,zero))),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,top)),composition(top,composition(top,zero))) )],[refute_0_3437,refute_0_3440]) ).
cnf(refute_0_3442,plain,
composition(zero,complement(composition(zero,composition(top,top)))) = composition(zero,complement(composition(zero,composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(zero,complement(composition(zero,composition(top,top)))))]]) ).
cnf(refute_0_3443,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(top,composition(top,zero)))
| composition(zero,complement(composition(zero,composition(top,top)))) != composition(zero,complement(composition(zero,composition(top,top))))
| composition(zero,complement(composition(zero,composition(top,top)))) = composition(zero,complement(composition(top,composition(top,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(zero,composition(top,top)))),composition(zero,complement(composition(zero,composition(top,top))))) ),[1,1],$fot(complement(composition(top,composition(top,zero))))]]) ).
cnf(refute_0_3444,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(top,composition(top,zero)))
| composition(zero,complement(composition(zero,composition(top,top)))) = composition(zero,complement(composition(top,composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,composition(top,top)))),composition(zero,complement(composition(zero,composition(top,top))))) )],[refute_0_3442,refute_0_3443]) ).
cnf(refute_0_3445,plain,
composition(zero,complement(composition(zero,composition(top,top)))) = composition(zero,complement(composition(top,composition(top,zero)))),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(top,composition(top,zero)))) )],[refute_0_3441,refute_0_3444]) ).
cnf(refute_0_3446,plain,
complement(composition(zero,complement(composition(zero,composition(top,top))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))),
introduced(tautology,[refl,[$fot(complement(composition(zero,complement(composition(zero,composition(top,top))))))]]) ).
cnf(refute_0_3447,plain,
( complement(composition(zero,complement(composition(zero,composition(top,top))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| composition(zero,complement(composition(zero,composition(top,top)))) != composition(zero,complement(composition(top,composition(top,zero))))
| complement(composition(zero,complement(composition(zero,composition(top,top))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,complement(composition(zero,composition(top,top))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),[1,0],$fot(composition(zero,complement(composition(top,composition(top,zero)))))]]) ).
cnf(refute_0_3448,plain,
( composition(zero,complement(composition(zero,composition(top,top)))) != composition(zero,complement(composition(top,composition(top,zero))))
| complement(composition(zero,complement(composition(zero,composition(top,top))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(zero,composition(top,top))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3446,refute_0_3447]) ).
cnf(refute_0_3449,plain,
complement(composition(zero,complement(composition(zero,composition(top,top))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,composition(top,top)))),composition(zero,complement(composition(top,composition(top,zero))))) )],[refute_0_3445,refute_0_3448]) ).
cnf(refute_0_3450,plain,
join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),
introduced(tautology,[refl,[$fot(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))))]]) ).
cnf(refute_0_3451,plain,
( complement(composition(zero,complement(composition(zero,composition(top,top))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))
| join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))) ),[1,1],$fot(complement(composition(zero,complement(composition(top,composition(top,zero))))))]]) ).
cnf(refute_0_3452,plain,
( complement(composition(zero,complement(composition(zero,composition(top,top))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top))))))) )],[refute_0_3450,refute_0_3451]) ).
cnf(refute_0_3453,plain,
join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) = join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(zero,composition(top,top))))),complement(composition(zero,complement(composition(top,composition(top,zero)))))) )],[refute_0_3449,refute_0_3452]) ).
cnf(refute_0_3454,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero))))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),[0],$fot(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))))]]) ).
cnf(refute_0_3455,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = complement(composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero))))))) )],[refute_0_3453,refute_0_3454]) ).
cnf(refute_0_3456,plain,
( complement(composition(zero,complement(composition(zero,composition(top,top))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) ),[1],$fot(complement(composition(zero,complement(composition(top,composition(top,zero))))))]]) ).
cnf(refute_0_3457,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(zero,composition(top,top))))),complement(composition(zero,complement(composition(top,composition(top,zero)))))) )],[refute_0_3449,refute_0_3456]) ).
cnf(refute_0_3458,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))) != complement(composition(zero,complement(composition(zero,composition(top,top)))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3455,refute_0_3457]) ).
cnf(refute_0_3459,plain,
join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(zero,composition(top,top)))))),complement(composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_3353,refute_0_3458]) ).
cnf(refute_0_3460,plain,
composition(join(one,top),top) = composition(join(one,top),top),
introduced(tautology,[refl,[$fot(composition(join(one,top),top))]]) ).
cnf(refute_0_3461,plain,
( composition(join(one,top),top) != composition(join(one,top),top)
| join(one,top) != top
| composition(join(one,top),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3462,plain,
( join(one,top) != top
| composition(join(one,top),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(join(one,top),top)) )],[refute_0_3460,refute_0_3461]) ).
cnf(refute_0_3463,plain,
composition(join(one,top),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_3462]) ).
cnf(refute_0_3464,plain,
join(composition(X_235,X_236),composition(X_234,X_236)) = join(composition(X_234,X_236),composition(X_235,X_236)),
inference(subst,[],[refute_0_12:[bind(X0,$fot(composition(X_235,X_236))),bind(X1,$fot(composition(X_234,X_236)))]]) ).
cnf(refute_0_3465,plain,
composition(join(X_234,X_235),X_236) = join(composition(X_234,X_236),composition(X_235,X_236)),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(X_234)),bind(X1,$fot(X_235)),bind(X2,$fot(X_236))]]) ).
cnf(refute_0_3466,plain,
( composition(join(X_234,X_235),X_236) != join(composition(X_234,X_236),composition(X_235,X_236))
| join(composition(X_234,X_236),composition(X_235,X_236)) = composition(join(X_234,X_235),X_236) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_234,X_235),X_236))),bind(Y,$fot(join(composition(X_234,X_236),composition(X_235,X_236))))]]) ).
cnf(refute_0_3467,plain,
join(composition(X_234,X_236),composition(X_235,X_236)) = composition(join(X_234,X_235),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_234,X_235),X_236),join(composition(X_234,X_236),composition(X_235,X_236))) )],[refute_0_3465,refute_0_3466]) ).
cnf(refute_0_3468,plain,
( join(composition(X_234,X_236),composition(X_235,X_236)) != composition(join(X_234,X_235),X_236)
| join(composition(X_235,X_236),composition(X_234,X_236)) != join(composition(X_234,X_236),composition(X_235,X_236))
| join(composition(X_235,X_236),composition(X_234,X_236)) = composition(join(X_234,X_235),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_235,X_236),composition(X_234,X_236)),join(composition(X_234,X_236),composition(X_235,X_236))) ),[1],$fot(composition(join(X_234,X_235),X_236))]]) ).
cnf(refute_0_3469,plain,
( join(composition(X_235,X_236),composition(X_234,X_236)) != join(composition(X_234,X_236),composition(X_235,X_236))
| join(composition(X_235,X_236),composition(X_234,X_236)) = composition(join(X_234,X_235),X_236) ),
inference(resolve,[$cnf( $equal(join(composition(X_234,X_236),composition(X_235,X_236)),composition(join(X_234,X_235),X_236)) )],[refute_0_3467,refute_0_3468]) ).
cnf(refute_0_3470,plain,
join(composition(X_235,X_236),composition(X_234,X_236)) = composition(join(X_234,X_235),X_236),
inference(resolve,[$cnf( $equal(join(composition(X_235,X_236),composition(X_234,X_236)),join(composition(X_234,X_236),composition(X_235,X_236))) )],[refute_0_3464,refute_0_3469]) ).
cnf(refute_0_3471,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_3472,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1261,refute_0_3471]) ).
cnf(refute_0_3473,plain,
join(composition(X_235,X_236),composition(X_234,X_236)) = composition(join(X_235,X_234),X_236),
inference(subst,[],[refute_0_3472:[bind(X0,$fot(X_235)),bind(X1,$fot(X_234)),bind(X2,$fot(X_236))]]) ).
cnf(refute_0_3474,plain,
( join(composition(X_235,X_236),composition(X_234,X_236)) != composition(join(X_234,X_235),X_236)
| join(composition(X_235,X_236),composition(X_234,X_236)) != composition(join(X_235,X_234),X_236)
| composition(join(X_235,X_234),X_236) = composition(join(X_234,X_235),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_235,X_236),composition(X_234,X_236)),composition(join(X_234,X_235),X_236)) ),[0],$fot(composition(join(X_235,X_234),X_236))]]) ).
cnf(refute_0_3475,plain,
( join(composition(X_235,X_236),composition(X_234,X_236)) != composition(join(X_234,X_235),X_236)
| composition(join(X_235,X_234),X_236) = composition(join(X_234,X_235),X_236) ),
inference(resolve,[$cnf( $equal(join(composition(X_235,X_236),composition(X_234,X_236)),composition(join(X_235,X_234),X_236)) )],[refute_0_3473,refute_0_3474]) ).
cnf(refute_0_3476,plain,
composition(join(X_235,X_234),X_236) = composition(join(X_234,X_235),X_236),
inference(resolve,[$cnf( $equal(join(composition(X_235,X_236),composition(X_234,X_236)),composition(join(X_234,X_235),X_236)) )],[refute_0_3470,refute_0_3475]) ).
cnf(refute_0_3477,plain,
( composition(join(X_235,X_234),X_236) != composition(join(X_234,X_235),X_236)
| composition(join(X_234,X_235),X_236) = composition(join(X_235,X_234),X_236) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_235,X_234),X_236))),bind(Y,$fot(composition(join(X_234,X_235),X_236)))]]) ).
cnf(refute_0_3478,plain,
composition(join(X_234,X_235),X_236) = composition(join(X_235,X_234),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_235,X_234),X_236),composition(join(X_234,X_235),X_236)) )],[refute_0_3476,refute_0_3477]) ).
cnf(refute_0_3479,plain,
composition(join(top,one),top) = composition(join(one,top),top),
inference(subst,[],[refute_0_3478:[bind(X_234,$fot(top)),bind(X_235,$fot(one)),bind(X_236,$fot(top))]]) ).
cnf(refute_0_3480,plain,
composition(join(X_234,one),X_236) = join(composition(X_234,X_236),composition(one,X_236)),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(X_234)),bind(X1,$fot(one)),bind(X2,$fot(X_236))]]) ).
cnf(refute_0_3481,plain,
X_236 = composition(one,X_236),
inference(subst,[],[refute_0_72:[bind(X_8,$fot(X_236))]]) ).
cnf(refute_0_3482,plain,
( X_236 != composition(one,X_236)
| composition(one,X_236) = X_236 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_236)),bind(Y,$fot(composition(one,X_236)))]]) ).
cnf(refute_0_3483,plain,
composition(one,X_236) = X_236,
inference(resolve,[$cnf( $equal(X_236,composition(one,X_236)) )],[refute_0_3481,refute_0_3482]) ).
cnf(refute_0_3484,plain,
( composition(join(X_234,one),X_236) != join(composition(X_234,X_236),composition(one,X_236))
| composition(one,X_236) != X_236
| composition(join(X_234,one),X_236) = join(composition(X_234,X_236),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,one),X_236),join(composition(X_234,X_236),composition(one,X_236))) ),[1,1],$fot(X_236)]]) ).
cnf(refute_0_3485,plain,
( composition(join(X_234,one),X_236) != join(composition(X_234,X_236),composition(one,X_236))
| composition(join(X_234,one),X_236) = join(composition(X_234,X_236),X_236) ),
inference(resolve,[$cnf( $equal(composition(one,X_236),X_236) )],[refute_0_3483,refute_0_3484]) ).
cnf(refute_0_3486,plain,
composition(join(X_234,one),X_236) = join(composition(X_234,X_236),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_234,one),X_236),join(composition(X_234,X_236),composition(one,X_236))) )],[refute_0_3480,refute_0_3485]) ).
cnf(refute_0_3487,plain,
join(composition(X_234,X_236),X_236) = join(X_236,composition(X_234,X_236)),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_236)),bind(X_124,$fot(composition(X_234,X_236)))]]) ).
cnf(refute_0_3488,plain,
( composition(join(X_234,one),X_236) != join(composition(X_234,X_236),X_236)
| join(composition(X_234,X_236),X_236) != join(X_236,composition(X_234,X_236))
| composition(join(X_234,one),X_236) = join(X_236,composition(X_234,X_236)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_234,one),X_236),join(X_236,composition(X_234,X_236))) ),[0],$fot(join(composition(X_234,X_236),X_236))]]) ).
cnf(refute_0_3489,plain,
( composition(join(X_234,one),X_236) != join(composition(X_234,X_236),X_236)
| composition(join(X_234,one),X_236) = join(X_236,composition(X_234,X_236)) ),
inference(resolve,[$cnf( $equal(join(composition(X_234,X_236),X_236),join(X_236,composition(X_234,X_236))) )],[refute_0_3487,refute_0_3488]) ).
cnf(refute_0_3490,plain,
composition(join(X_234,one),X_236) = join(X_236,composition(X_234,X_236)),
inference(resolve,[$cnf( $equal(composition(join(X_234,one),X_236),join(composition(X_234,X_236),X_236)) )],[refute_0_3486,refute_0_3489]) ).
cnf(refute_0_3491,plain,
( composition(join(X_234,one),X_236) != join(X_236,composition(X_234,X_236))
| join(X_236,composition(X_234,X_236)) = composition(join(X_234,one),X_236) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_234,one),X_236))),bind(Y,$fot(join(X_236,composition(X_234,X_236))))]]) ).
cnf(refute_0_3492,plain,
join(X_236,composition(X_234,X_236)) = composition(join(X_234,one),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_234,one),X_236),join(X_236,composition(X_234,X_236))) )],[refute_0_3490,refute_0_3491]) ).
cnf(refute_0_3493,plain,
join(top,composition(top,top)) = composition(join(top,one),top),
inference(subst,[],[refute_0_3492:[bind(X_234,$fot(top)),bind(X_236,$fot(top))]]) ).
cnf(refute_0_3494,plain,
( composition(join(top,one),top) != composition(join(one,top),top)
| join(top,composition(top,top)) != composition(join(top,one),top)
| join(top,composition(top,top)) = composition(join(one,top),top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(top,composition(top,top)))),bind(Y,$fot(composition(join(top,one),top))),bind(Z,$fot(composition(join(one,top),top)))]]) ).
cnf(refute_0_3495,plain,
( composition(join(top,one),top) != composition(join(one,top),top)
| join(top,composition(top,top)) = composition(join(one,top),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(top,top)),composition(join(top,one),top)) )],[refute_0_3493,refute_0_3494]) ).
cnf(refute_0_3496,plain,
join(top,composition(top,top)) = composition(join(one,top),top),
inference(resolve,[$cnf( $equal(composition(join(top,one),top),composition(join(one,top),top)) )],[refute_0_3479,refute_0_3495]) ).
cnf(refute_0_3497,plain,
( composition(join(one,top),top) != composition(top,top)
| join(top,composition(top,top)) != composition(join(one,top),top)
| join(top,composition(top,top)) = composition(top,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(top,composition(top,top)))),bind(Y,$fot(composition(join(one,top),top))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_3498,plain,
( composition(join(one,top),top) != composition(top,top)
| join(top,composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(top,composition(top,top)),composition(join(one,top),top)) )],[refute_0_3496,refute_0_3497]) ).
cnf(refute_0_3499,plain,
join(top,composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(join(one,top),top),composition(top,top)) )],[refute_0_3463,refute_0_3498]) ).
cnf(refute_0_3500,plain,
join(composition(top,top),top) = join(top,composition(top,top)),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(top)),bind(X_124,$fot(composition(top,top)))]]) ).
cnf(refute_0_3501,plain,
( join(composition(top,top),top) != join(top,composition(top,top))
| join(top,composition(top,top)) != composition(top,top)
| join(composition(top,top),top) = composition(top,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(top,top),top))),bind(Y,$fot(join(top,composition(top,top)))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_3502,plain,
( join(top,composition(top,top)) != composition(top,top)
| join(composition(top,top),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),top),join(top,composition(top,top))) )],[refute_0_3500,refute_0_3501]) ).
cnf(refute_0_3503,plain,
join(composition(top,top),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(top,composition(top,top)),composition(top,top)) )],[refute_0_3499,refute_0_3502]) ).
cnf(refute_0_3504,plain,
composition(converse(composition(X_8,complement(composition(top,top)))),X_9) = composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)),
inference(subst,[],[refute_0_3237:[bind(X_7,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_3505,plain,
zero = composition(X_8,complement(composition(top,top))),
inference(subst,[],[refute_0_1303:[bind(X_234,$fot(X_8))]]) ).
cnf(refute_0_3506,plain,
( zero != composition(X_8,complement(composition(top,top)))
| composition(X_8,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_8,complement(composition(top,top)))))]]) ).
cnf(refute_0_3507,plain,
composition(X_8,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_8,complement(composition(top,top)))) )],[refute_0_3505,refute_0_3506]) ).
cnf(refute_0_3508,plain,
( composition(X_8,complement(composition(top,top))) != zero
| composition(converse(composition(X_8,complement(composition(top,top)))),X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(converse(zero),X_9) = composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_8,complement(composition(top,top)))),X_9),composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_3509,plain,
( composition(converse(composition(X_8,complement(composition(top,top)))),X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(converse(zero),X_9) = composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)) ),
inference(resolve,[$cnf( $equal(composition(X_8,complement(composition(top,top))),zero) )],[refute_0_3507,refute_0_3508]) ).
cnf(refute_0_3510,plain,
composition(converse(zero),X_9) = composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_8,complement(composition(top,top)))),X_9),composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))) )],[refute_0_3504,refute_0_3509]) ).
cnf(refute_0_3511,plain,
composition(converse(zero),X_9) = composition(converse(zero),X_9),
introduced(tautology,[refl,[$fot(composition(converse(zero),X_9))]]) ).
cnf(refute_0_3512,plain,
( composition(converse(zero),X_9) != composition(converse(zero),X_9)
| converse(zero) != zero
| composition(converse(zero),X_9) = composition(zero,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),X_9),composition(converse(zero),X_9)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3513,plain,
( converse(zero) != zero
| composition(converse(zero),X_9) = composition(zero,X_9) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X_9),composition(converse(zero),X_9)) )],[refute_0_3511,refute_0_3512]) ).
cnf(refute_0_3514,plain,
composition(converse(zero),X_9) = composition(zero,X_9),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_3513]) ).
cnf(refute_0_3515,plain,
( composition(converse(zero),X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(converse(zero),X_9) != composition(zero,X_9)
| composition(zero,X_9) = composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),X_9),composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))) ),[0],$fot(composition(zero,X_9))]]) ).
cnf(refute_0_3516,plain,
( composition(converse(zero),X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(zero,X_9) = composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X_9),composition(zero,X_9)) )],[refute_0_3514,refute_0_3515]) ).
cnf(refute_0_3517,plain,
converse(composition(converse(X0),complement(composition(top,top)))) = composition(converse(complement(composition(top,top))),X0),
inference(subst,[],[refute_0_46:[bind(X_7,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_3518,plain,
zero = composition(converse(X0),complement(composition(top,top))),
inference(subst,[],[refute_0_1303:[bind(X_234,$fot(converse(X0)))]]) ).
cnf(refute_0_3519,plain,
( zero != composition(converse(X0),complement(composition(top,top)))
| composition(converse(X0),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(X0),complement(composition(top,top)))))]]) ).
cnf(refute_0_3520,plain,
composition(converse(X0),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(X0),complement(composition(top,top)))) )],[refute_0_3518,refute_0_3519]) ).
cnf(refute_0_3521,plain,
( composition(converse(X0),complement(composition(top,top))) != zero
| converse(composition(converse(X0),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),X0)
| converse(zero) = composition(converse(complement(composition(top,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3522,plain,
( converse(composition(converse(X0),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),X0)
| converse(zero) = composition(converse(complement(composition(top,top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(top,top))),zero) )],[refute_0_3520,refute_0_3521]) ).
cnf(refute_0_3523,plain,
converse(zero) = composition(converse(complement(composition(top,top))),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),X0)) )],[refute_0_3517,refute_0_3522]) ).
cnf(refute_0_3524,plain,
( converse(zero) != composition(converse(complement(composition(top,top))),X0)
| converse(zero) != zero
| zero = composition(converse(complement(composition(top,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,top))),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_3525,plain,
( converse(zero) != composition(converse(complement(composition(top,top))),X0)
| zero = composition(converse(complement(composition(top,top))),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_3524]) ).
cnf(refute_0_3526,plain,
zero = composition(converse(complement(composition(top,top))),X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,top))),X0)) )],[refute_0_3523,refute_0_3525]) ).
cnf(refute_0_3527,plain,
( zero != composition(converse(complement(composition(top,top))),X0)
| composition(converse(complement(composition(top,top))),X0) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,top))),X0)))]]) ).
cnf(refute_0_3528,plain,
composition(converse(complement(composition(top,top))),X0) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),X0)) )],[refute_0_3526,refute_0_3527]) ).
cnf(refute_0_3529,plain,
composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)) = zero,
inference(subst,[],[refute_0_3528:[bind(X0,$fot(composition(converse(X_8),X_9)))]]) ).
cnf(refute_0_3530,plain,
( composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)) != zero
| composition(zero,X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(zero,X_9) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,X_9),composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))) ),[1],$fot(zero)]]) ).
cnf(refute_0_3531,plain,
( composition(zero,X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(zero,X_9) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9)),zero) )],[refute_0_3529,refute_0_3530]) ).
cnf(refute_0_3532,plain,
( composition(converse(zero),X_9) != composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))
| composition(zero,X_9) = zero ),
inference(resolve,[$cnf( $equal(composition(zero,X_9),composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))) )],[refute_0_3516,refute_0_3531]) ).
cnf(refute_0_3533,plain,
composition(zero,X_9) = zero,
inference(resolve,[$cnf( $equal(composition(converse(zero),X_9),composition(converse(complement(composition(top,top))),composition(converse(X_8),X_9))) )],[refute_0_3510,refute_0_3532]) ).
cnf(refute_0_3534,plain,
composition(zero,complement(composition(top,composition(top,zero)))) = zero,
inference(subst,[],[refute_0_3533:[bind(X_9,$fot(complement(composition(top,composition(top,zero)))))]]) ).
cnf(refute_0_3535,plain,
complement(composition(zero,complement(composition(top,composition(top,zero))))) = complement(composition(zero,complement(composition(top,composition(top,zero))))),
introduced(tautology,[refl,[$fot(complement(composition(zero,complement(composition(top,composition(top,zero))))))]]) ).
cnf(refute_0_3536,plain,
( complement(composition(zero,complement(composition(top,composition(top,zero))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| composition(zero,complement(composition(top,composition(top,zero)))) != zero
| complement(composition(zero,complement(composition(top,composition(top,zero))))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,complement(composition(top,composition(top,zero))))),complement(composition(zero,complement(composition(top,composition(top,zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3537,plain,
( composition(zero,complement(composition(top,composition(top,zero)))) != zero
| complement(composition(zero,complement(composition(top,composition(top,zero))))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(top,composition(top,zero))))),complement(composition(zero,complement(composition(top,composition(top,zero)))))) )],[refute_0_3535,refute_0_3536]) ).
cnf(refute_0_3538,plain,
complement(composition(zero,complement(composition(top,composition(top,zero))))) = complement(zero),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(top,composition(top,zero)))),zero) )],[refute_0_3534,refute_0_3537]) ).
cnf(refute_0_3539,plain,
( complement(composition(zero,complement(composition(top,composition(top,zero))))) != complement(zero)
| complement(zero) != top
| complement(composition(zero,complement(composition(top,composition(top,zero))))) = top ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(composition(zero,complement(composition(top,composition(top,zero))))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3540,plain,
( complement(zero) != top
| complement(composition(zero,complement(composition(top,composition(top,zero))))) = top ),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(top,composition(top,zero))))),complement(zero)) )],[refute_0_3538,refute_0_3539]) ).
cnf(refute_0_3541,plain,
complement(composition(zero,complement(composition(top,composition(top,zero))))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_3540]) ).
cnf(refute_0_3542,plain,
join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),
introduced(tautology,[refl,[$fot(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))))]]) ).
cnf(refute_0_3543,plain,
( complement(composition(zero,complement(composition(top,composition(top,zero))))) != top
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero))))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = join(composition(top,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero))))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3544,plain,
( complement(composition(zero,complement(composition(top,composition(top,zero))))) != top
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = join(composition(top,top),top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero))))))) )],[refute_0_3542,refute_0_3543]) ).
cnf(refute_0_3545,plain,
join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = join(composition(top,top),top),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(top,composition(top,zero))))),top) )],[refute_0_3541,refute_0_3544]) ).
cnf(refute_0_3546,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != join(composition(top,top),top)
| join(composition(top,top),top) != composition(top,top)
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = composition(top,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))))),bind(Y,$fot(join(composition(top,top),top))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_3547,plain,
( join(composition(top,top),top) != composition(top,top)
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),join(composition(top,top),top)) )],[refute_0_3545,refute_0_3546]) ).
cnf(refute_0_3548,plain,
join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) = composition(top,top),
inference(resolve,[$cnf( $equal(join(composition(top,top),top),composition(top,top)) )],[refute_0_3503,refute_0_3547]) ).
cnf(refute_0_3549,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != composition(top,top)
| composition(top,top) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),complement(composition(zero,complement(composition(top,composition(top,zero)))))) ),[0],$fot(composition(top,top))]]) ).
cnf(refute_0_3550,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| composition(top,top) = complement(composition(zero,complement(composition(top,composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),composition(top,top)) )],[refute_0_3548,refute_0_3549]) ).
cnf(refute_0_3551,plain,
( complement(composition(zero,complement(composition(top,composition(top,zero))))) != top
| composition(top,top) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) ),[1],$fot(top)]]) ).
cnf(refute_0_3552,plain,
( composition(top,top) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(complement(composition(zero,complement(composition(top,composition(top,zero))))),top) )],[refute_0_3541,refute_0_3551]) ).
cnf(refute_0_3553,plain,
( join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) != complement(composition(zero,complement(composition(top,composition(top,zero)))))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))) )],[refute_0_3550,refute_0_3552]) ).
cnf(refute_0_3554,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(composition(zero,complement(composition(top,composition(top,zero)))))),complement(composition(zero,complement(composition(top,composition(top,zero)))))) )],[refute_0_3459,refute_0_3553]) ).
cnf(refute_0_3555,plain,
composition(complement(composition(complement(X_83),top)),composition(top,top)) = composition(complement(composition(complement(X_83),top)),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(X_83),top)),composition(top,top)))]]) ).
cnf(refute_0_3556,plain,
( composition(complement(composition(complement(X_83),top)),composition(top,top)) != composition(complement(composition(complement(X_83),top)),composition(top,top))
| composition(top,top) != top
| composition(complement(composition(complement(X_83),top)),composition(top,top)) = composition(complement(composition(complement(X_83),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(X_83),top)),composition(top,top)),composition(complement(composition(complement(X_83),top)),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3557,plain,
( composition(top,top) != top
| composition(complement(composition(complement(X_83),top)),composition(top,top)) = composition(complement(composition(complement(X_83),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_83),top)),composition(top,top)),composition(complement(composition(complement(X_83),top)),composition(top,top))) )],[refute_0_3555,refute_0_3556]) ).
cnf(refute_0_3558,plain,
composition(complement(composition(complement(X_83),top)),composition(top,top)) = composition(complement(composition(complement(X_83),top)),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3554,refute_0_3557]) ).
cnf(refute_0_3559,plain,
composition(complement(X_83),composition(top,top)) = composition(complement(X_83),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(X_83),composition(top,top)))]]) ).
cnf(refute_0_3560,plain,
( composition(complement(X_83),composition(top,top)) != composition(complement(X_83),composition(top,top))
| composition(top,top) != top
| composition(complement(X_83),composition(top,top)) = composition(complement(X_83),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(X_83),composition(top,top)),composition(complement(X_83),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3561,plain,
( composition(top,top) != top
| composition(complement(X_83),composition(top,top)) = composition(complement(X_83),top) ),
inference(resolve,[$cnf( $equal(composition(complement(X_83),composition(top,top)),composition(complement(X_83),composition(top,top))) )],[refute_0_3559,refute_0_3560]) ).
cnf(refute_0_3562,plain,
composition(complement(X_83),composition(top,top)) = composition(complement(X_83),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3554,refute_0_3561]) ).
cnf(refute_0_3563,plain,
complement(composition(complement(X_83),composition(top,top))) = complement(composition(complement(X_83),composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(complement(X_83),composition(top,top))))]]) ).
cnf(refute_0_3564,plain,
( complement(composition(complement(X_83),composition(top,top))) != complement(composition(complement(X_83),composition(top,top)))
| composition(complement(X_83),composition(top,top)) != composition(complement(X_83),top)
| complement(composition(complement(X_83),composition(top,top))) = complement(composition(complement(X_83),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(X_83),composition(top,top))),complement(composition(complement(X_83),composition(top,top)))) ),[1,0],$fot(composition(complement(X_83),top))]]) ).
cnf(refute_0_3565,plain,
( composition(complement(X_83),composition(top,top)) != composition(complement(X_83),top)
| complement(composition(complement(X_83),composition(top,top))) = complement(composition(complement(X_83),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_83),composition(top,top))),complement(composition(complement(X_83),composition(top,top)))) )],[refute_0_3563,refute_0_3564]) ).
cnf(refute_0_3566,plain,
complement(composition(complement(X_83),composition(top,top))) = complement(composition(complement(X_83),top)),
inference(resolve,[$cnf( $equal(composition(complement(X_83),composition(top,top)),composition(complement(X_83),top)) )],[refute_0_3562,refute_0_3565]) ).
cnf(refute_0_3567,plain,
composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)))]]) ).
cnf(refute_0_3568,plain,
( complement(composition(complement(X_83),composition(top,top))) != complement(composition(complement(X_83),top))
| composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) != composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))
| composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),top)),composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) ),[1,0],$fot(complement(composition(complement(X_83),top)))]]) ).
cnf(refute_0_3569,plain,
( complement(composition(complement(X_83),composition(top,top))) != complement(composition(complement(X_83),top))
| composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),top)),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)),composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) )],[refute_0_3567,refute_0_3568]) ).
cnf(refute_0_3570,plain,
composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),top)),composition(top,top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_83),composition(top,top))),complement(composition(complement(X_83),top))) )],[refute_0_3566,refute_0_3569]) ).
cnf(refute_0_3571,plain,
( composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) != composition(complement(composition(complement(X_83),top)),composition(top,top))
| composition(complement(composition(complement(X_83),top)),composition(top,top)) != composition(complement(composition(complement(X_83),top)),top)
| composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),top)),top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)))),bind(Y,$fot(composition(complement(composition(complement(X_83),top)),composition(top,top)))),bind(Z,$fot(composition(complement(composition(complement(X_83),top)),top)))]]) ).
cnf(refute_0_3572,plain,
( composition(complement(composition(complement(X_83),top)),composition(top,top)) != composition(complement(composition(complement(X_83),top)),top)
| composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)),composition(complement(composition(complement(X_83),top)),composition(top,top))) )],[refute_0_3570,refute_0_3571]) ).
cnf(refute_0_3573,plain,
composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) = composition(complement(composition(complement(X_83),top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_83),top)),composition(top,top)),composition(complement(composition(complement(X_83),top)),top)) )],[refute_0_3558,refute_0_3572]) ).
cnf(refute_0_3574,plain,
join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),
introduced(tautology,[refl,[$fot(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))))]]) ).
cnf(refute_0_3575,plain,
( composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) != composition(complement(composition(complement(X_83),top)),top)
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)))
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = join(X_83,composition(complement(composition(complement(X_83),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)))) ),[1,1],$fot(composition(complement(composition(complement(X_83),top)),top))]]) ).
cnf(refute_0_3576,plain,
( composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)) != composition(complement(composition(complement(X_83),top)),top)
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = join(X_83,composition(complement(composition(complement(X_83),top)),top)) ),
inference(resolve,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)))) )],[refute_0_3574,refute_0_3575]) ).
cnf(refute_0_3577,plain,
join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) = join(X_83,composition(complement(composition(complement(X_83),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top)),composition(complement(composition(complement(X_83),top)),top)) )],[refute_0_3573,refute_0_3576]) ).
cnf(refute_0_3578,plain,
( join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != X_83
| join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != join(X_83,composition(complement(composition(complement(X_83),top)),top))
| join(X_83,composition(complement(composition(complement(X_83),top)),top)) = X_83 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),X_83) ),[0],$fot(join(X_83,composition(complement(composition(complement(X_83),top)),top)))]]) ).
cnf(refute_0_3579,plain,
( join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))) != X_83
| join(X_83,composition(complement(composition(complement(X_83),top)),top)) = X_83 ),
inference(resolve,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),join(X_83,composition(complement(composition(complement(X_83),top)),top))) )],[refute_0_3577,refute_0_3578]) ).
cnf(refute_0_3580,plain,
join(X_83,composition(complement(composition(complement(X_83),top)),top)) = X_83,
inference(resolve,[$cnf( $equal(join(X_83,composition(complement(composition(complement(X_83),composition(top,top))),composition(top,top))),X_83) )],[refute_0_3299,refute_0_3579]) ).
cnf(refute_0_3581,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_3580:[bind(X_83,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3582,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != complement(skolemFOFtoCNF_X0)
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3583,plain,
( meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) )],[refute_0_3581,refute_0_3582]) ).
cnf(refute_0_3584,plain,
meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_3143,refute_0_3583]) ).
cnf(refute_0_3585,plain,
composition(complement(complement(skolemFOFtoCNF_X0)),top) = composition(complement(complement(skolemFOFtoCNF_X0)),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_3586,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(complement(complement(skolemFOFtoCNF_X0)),top) != composition(complement(complement(skolemFOFtoCNF_X0)),top)
| composition(complement(complement(skolemFOFtoCNF_X0)),top) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(skolemFOFtoCNF_X0)),top),composition(complement(complement(skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_3587,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(complement(complement(skolemFOFtoCNF_X0)),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(skolemFOFtoCNF_X0)),top),composition(complement(complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_3585,refute_0_3586]) ).
cnf(refute_0_3588,plain,
composition(complement(complement(skolemFOFtoCNF_X0)),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_3587]) ).
cnf(refute_0_3589,plain,
complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) = complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3590,plain,
( complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) != complement(composition(complement(complement(skolemFOFtoCNF_X0)),top))
| composition(complement(complement(skolemFOFtoCNF_X0)),top) != composition(skolemFOFtoCNF_X0,top)
| complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),complement(composition(complement(complement(skolemFOFtoCNF_X0)),top))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_3591,plain,
( composition(complement(complement(skolemFOFtoCNF_X0)),top) != composition(skolemFOFtoCNF_X0,top)
| complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),complement(composition(complement(complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_3589,refute_0_3590]) ).
cnf(refute_0_3592,plain,
complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(complement(complement(skolemFOFtoCNF_X0)),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_3588,refute_0_3591]) ).
cnf(refute_0_3593,plain,
composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) = composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))]]) ).
cnf(refute_0_3594,plain,
( complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) != composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)
| composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3595,plain,
( complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top),composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) )],[refute_0_3593,refute_0_3594]) ).
cnf(refute_0_3596,plain,
composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3592,refute_0_3595]) ).
cnf(refute_0_3597,plain,
meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),
introduced(tautology,[refl,[$fot(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))]]) ).
cnf(refute_0_3598,plain,
( composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) ),[1,1],$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top))]]) ).
cnf(refute_0_3599,plain,
( composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) )],[refute_0_3597,refute_0_3598]) ).
cnf(refute_0_3600,plain,
meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) = meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_3596,refute_0_3599]) ).
cnf(refute_0_3601,plain,
( meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_3602,plain,
( meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) )],[refute_0_3600,refute_0_3601]) ).
cnf(refute_0_3603,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))))]]) ).
cnf(refute_0_3604,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) != meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))
| meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))) ),[1,1],$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_3605,plain,
( meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_3603,refute_0_3604]) ).
cnf(refute_0_3606,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) )],[refute_0_3600,refute_0_3605]) ).
cnf(refute_0_3607,plain,
meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0))),bind(X_15,$fot(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))))]]) ).
cnf(refute_0_3608,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) != meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))
| meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))
| meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))))]]) ).
cnf(refute_0_3609,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))) != meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))
| meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_3607,refute_0_3608]) ).
cnf(refute_0_3610,plain,
meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top))),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) )],[refute_0_3606,refute_0_3609]) ).
cnf(refute_0_3611,plain,
( meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))) ),[1],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))]]) ).
cnf(refute_0_3612,plain,
( meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) )],[refute_0_3610,refute_0_3611]) ).
cnf(refute_0_3613,plain,
( meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)) != meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))) )],[refute_0_3602,refute_0_3612]) ).
cnf(refute_0_3614,plain,
meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),meet(meet(one,composition(complement(composition(complement(complement(skolemFOFtoCNF_X0)),top)),top)),complement(skolemFOFtoCNF_X0))) )],[refute_0_3584,refute_0_3613]) ).
cnf(refute_0_3615,plain,
( meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))))]]) ).
cnf(refute_0_3616,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) )],[refute_0_3614,refute_0_3615]) ).
cnf(refute_0_3617,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != complement(skolemFOFtoCNF_X0)
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) != meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),complement(skolemFOFtoCNF_X0)) ),[0,1],$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_3618,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) )],[refute_0_3616,refute_0_3617]) ).
cnf(refute_0_3619,plain,
join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3128,refute_0_3618]) ).
cnf(refute_0_3620,plain,
( join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) != complement(skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != complement(join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),complement(join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3621,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != complement(join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3619,refute_0_3620]) ).
cnf(refute_0_3622,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),complement(join(complement(skolemFOFtoCNF_X0),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))) )],[refute_0_3127,refute_0_3621]) ).
cnf(refute_0_3623,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != complement(complement(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_3624,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != complement(complement(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_3623]) ).
cnf(refute_0_3625,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_3622,refute_0_3624]) ).
cnf(refute_0_3626,plain,
complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_979:[bind(X_187,$fot(one)),bind(X_188,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3627,plain,
join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(composition(complement(converse(composition(X_683,top))),composition(X_683,top))))) = complement(composition(X_683,top)),
inference(subst,[],[refute_0_39:[bind(X0,$fot(complement(converse(composition(X_683,top))))),bind(X1,$fot(composition(X_683,top)))]]) ).
cnf(refute_0_3628,plain,
( converse(composition(top,X_7)) != composition(converse(X_7),top)
| composition(converse(X_7),top) = converse(composition(top,X_7)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(top,X_7)))),bind(Y,$fot(composition(converse(X_7),top)))]]) ).
cnf(refute_0_3629,plain,
composition(converse(X_7),top) = converse(composition(top,X_7)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_7)),composition(converse(X_7),top)) )],[refute_0_3273,refute_0_3628]) ).
cnf(refute_0_3630,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(X0))]]) ).
cnf(refute_0_3631,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_0_3632,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_0_3633,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_0_3631,refute_0_3632]) ).
cnf(refute_0_3634,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_0_3630,refute_0_3633]) ).
cnf(refute_0_3635,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_0_3636,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(composition(converse(X0),top)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) ),[1,1],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_0_3637,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_0_3635,refute_0_3636]) ).
cnf(refute_0_3638,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_0_3634,refute_0_3637]) ).
cnf(refute_0_3639,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(composition(converse(X0),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(X0,complement(composition(converse(X0),top)))))]]) ).
cnf(refute_0_3640,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) != join(zero,composition(X0,complement(composition(converse(X0),top))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(converse(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),join(zero,composition(X0,complement(composition(converse(X0),top))))) ),[1,1],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_3641,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(converse(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),join(zero,composition(X0,complement(composition(converse(X0),top))))) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
join(zero,composition(X0,complement(composition(converse(X0),top)))) = join(zero,composition(X0,complement(converse(composition(top,X0))))),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_0_3638,refute_0_3641]) ).
cnf(refute_0_3643,plain,
( join(zero,composition(X0,complement(composition(converse(X0),top)))) != join(zero,composition(X0,complement(converse(composition(top,X0)))))
| join(zero,composition(X0,complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(converse(composition(top,X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),zero) ),[0],$fot(join(zero,composition(X0,complement(converse(composition(top,X0))))))]]) ).
cnf(refute_0_3644,plain,
( join(zero,composition(X0,complement(composition(converse(X0),top)))) != zero
| join(zero,composition(X0,complement(converse(composition(top,X0))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),join(zero,composition(X0,complement(converse(composition(top,X0)))))) )],[refute_0_3642,refute_0_3643]) ).
cnf(refute_0_3645,plain,
join(zero,composition(X0,complement(converse(composition(top,X0))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(composition(converse(X0),top)))),zero) )],[refute_0_1273,refute_0_3644]) ).
cnf(refute_0_3646,plain,
join(zero,composition(X0,complement(converse(composition(top,X0))))) = composition(X0,complement(converse(composition(top,X0)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(X0,complement(converse(composition(top,X0))))))]]) ).
cnf(refute_0_3647,plain,
( join(zero,composition(X0,complement(converse(composition(top,X0))))) != composition(X0,complement(converse(composition(top,X0))))
| join(zero,composition(X0,complement(converse(composition(top,X0))))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X0,complement(converse(composition(top,X0))))),zero) ),[0],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_3648,plain,
( join(zero,composition(X0,complement(converse(composition(top,X0))))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(converse(composition(top,X0))))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_0_3646,refute_0_3647]) ).
cnf(refute_0_3649,plain,
composition(X0,complement(converse(composition(top,X0)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X0,complement(converse(composition(top,X0))))),zero) )],[refute_0_3645,refute_0_3648]) ).
cnf(refute_0_3650,plain,
composition(complement(composition(top,X_336)),complement(converse(composition(top,complement(composition(top,X_336)))))) = zero,
inference(subst,[],[refute_0_3649:[bind(X0,$fot(complement(composition(top,X_336))))]]) ).
cnf(refute_0_3651,plain,
join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,composition(top,X_334))))) = complement(composition(top,X_334)),
inference(subst,[],[refute_0_39:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_334)))]]) ).
cnf(refute_0_3652,plain,
composition(converse(composition(top,top)),X_9) = composition(converse(top),composition(converse(top),X_9)),
inference(subst,[],[refute_0_3237:[bind(X_7,$fot(top)),bind(X_8,$fot(top))]]) ).
cnf(refute_0_3653,plain,
( composition(converse(composition(top,top)),X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(top,top) != top
| composition(converse(top),X_9) = composition(converse(top),composition(converse(top),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,top)),X_9),composition(converse(top),composition(converse(top),X_9))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_3654,plain,
( composition(converse(composition(top,top)),X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(converse(top),X_9) = composition(converse(top),composition(converse(top),X_9)) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3554,refute_0_3653]) ).
cnf(refute_0_3655,plain,
composition(converse(top),X_9) = composition(converse(top),composition(converse(top),X_9)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,top)),X_9),composition(converse(top),composition(converse(top),X_9))) )],[refute_0_3652,refute_0_3654]) ).
cnf(refute_0_3656,plain,
composition(converse(top),X_9) = composition(converse(top),X_9),
introduced(tautology,[refl,[$fot(composition(converse(top),X_9))]]) ).
cnf(refute_0_3657,plain,
( composition(converse(top),X_9) != composition(converse(top),X_9)
| converse(top) != top
| composition(converse(top),X_9) = composition(top,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),X_9),composition(converse(top),X_9)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3658,plain,
( converse(top) != top
| composition(converse(top),X_9) = composition(top,X_9) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X_9),composition(converse(top),X_9)) )],[refute_0_3656,refute_0_3657]) ).
cnf(refute_0_3659,plain,
composition(converse(top),X_9) = composition(top,X_9),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_3658]) ).
cnf(refute_0_3660,plain,
( composition(converse(top),X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(converse(top),X_9) != composition(top,X_9)
| composition(top,X_9) = composition(converse(top),composition(converse(top),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),X_9),composition(converse(top),composition(converse(top),X_9))) ),[0],$fot(composition(top,X_9))]]) ).
cnf(refute_0_3661,plain,
( composition(converse(top),X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(top,X_9) = composition(converse(top),composition(converse(top),X_9)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X_9),composition(top,X_9)) )],[refute_0_3659,refute_0_3660]) ).
cnf(refute_0_3662,plain,
composition(converse(top),composition(top,X_9)) = composition(converse(top),composition(top,X_9)),
introduced(tautology,[refl,[$fot(composition(converse(top),composition(top,X_9)))]]) ).
cnf(refute_0_3663,plain,
( composition(converse(top),composition(top,X_9)) != composition(converse(top),composition(top,X_9))
| converse(top) != top
| composition(converse(top),composition(top,X_9)) = composition(top,composition(top,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(top,X_9)),composition(converse(top),composition(top,X_9))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3664,plain,
( converse(top) != top
| composition(converse(top),composition(top,X_9)) = composition(top,composition(top,X_9)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(top,X_9)),composition(converse(top),composition(top,X_9))) )],[refute_0_3662,refute_0_3663]) ).
cnf(refute_0_3665,plain,
composition(converse(top),composition(top,X_9)) = composition(top,composition(top,X_9)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_3664]) ).
cnf(refute_0_3666,plain,
composition(converse(composition(top,top)),X_9) = composition(converse(top),composition(top,X_9)),
inference(subst,[],[refute_0_3281:[bind(X2,$fot(X_9)),bind(X_73,$fot(top))]]) ).
cnf(refute_0_3667,plain,
composition(converse(top),composition(converse(top),X_9)) = composition(converse(composition(top,top)),X_9),
inference(subst,[],[refute_0_3239:[bind(X_7,$fot(top)),bind(X_8,$fot(top))]]) ).
cnf(refute_0_3668,plain,
( composition(converse(composition(top,top)),X_9) != composition(converse(top),composition(top,X_9))
| composition(converse(top),composition(converse(top),X_9)) != composition(converse(composition(top,top)),X_9)
| composition(converse(top),composition(converse(top),X_9)) = composition(converse(top),composition(top,X_9)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(top),composition(converse(top),X_9)))),bind(Y,$fot(composition(converse(composition(top,top)),X_9))),bind(Z,$fot(composition(converse(top),composition(top,X_9))))]]) ).
cnf(refute_0_3669,plain,
( composition(converse(composition(top,top)),X_9) != composition(converse(top),composition(top,X_9))
| composition(converse(top),composition(converse(top),X_9)) = composition(converse(top),composition(top,X_9)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_9)),composition(converse(composition(top,top)),X_9)) )],[refute_0_3667,refute_0_3668]) ).
cnf(refute_0_3670,plain,
composition(converse(top),composition(converse(top),X_9)) = composition(converse(top),composition(top,X_9)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,top)),X_9),composition(converse(top),composition(top,X_9))) )],[refute_0_3666,refute_0_3669]) ).
cnf(refute_0_3671,plain,
( composition(converse(top),composition(converse(top),X_9)) != composition(converse(top),composition(top,X_9))
| composition(converse(top),composition(top,X_9)) != composition(top,composition(top,X_9))
| composition(converse(top),composition(converse(top),X_9)) = composition(top,composition(top,X_9)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(top),composition(converse(top),X_9)))),bind(Y,$fot(composition(converse(top),composition(top,X_9)))),bind(Z,$fot(composition(top,composition(top,X_9))))]]) ).
cnf(refute_0_3672,plain,
( composition(converse(top),composition(top,X_9)) != composition(top,composition(top,X_9))
| composition(converse(top),composition(converse(top),X_9)) = composition(top,composition(top,X_9)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_9)),composition(converse(top),composition(top,X_9))) )],[refute_0_3670,refute_0_3671]) ).
cnf(refute_0_3673,plain,
composition(converse(top),composition(converse(top),X_9)) = composition(top,composition(top,X_9)),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(top,X_9)),composition(top,composition(top,X_9))) )],[refute_0_3665,refute_0_3672]) ).
cnf(refute_0_3674,plain,
( composition(converse(top),composition(converse(top),X_9)) != composition(top,composition(top,X_9))
| composition(top,X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(top,X_9) = composition(top,composition(top,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_9),composition(converse(top),composition(converse(top),X_9))) ),[1],$fot(composition(top,composition(top,X_9)))]]) ).
cnf(refute_0_3675,plain,
( composition(top,X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(top,X_9) = composition(top,composition(top,X_9)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_9)),composition(top,composition(top,X_9))) )],[refute_0_3673,refute_0_3674]) ).
cnf(refute_0_3676,plain,
( composition(converse(top),X_9) != composition(converse(top),composition(converse(top),X_9))
| composition(top,X_9) = composition(top,composition(top,X_9)) ),
inference(resolve,[$cnf( $equal(composition(top,X_9),composition(converse(top),composition(converse(top),X_9))) )],[refute_0_3661,refute_0_3675]) ).
cnf(refute_0_3677,plain,
composition(top,X_9) = composition(top,composition(top,X_9)),
inference(resolve,[$cnf( $equal(composition(converse(top),X_9),composition(converse(top),composition(converse(top),X_9))) )],[refute_0_3655,refute_0_3676]) ).
cnf(refute_0_3678,plain,
composition(top,X_334) = composition(top,composition(top,X_334)),
inference(subst,[],[refute_0_3677:[bind(X_9,$fot(X_334))]]) ).
cnf(refute_0_3679,plain,
( composition(top,X_334) != composition(top,composition(top,X_334))
| composition(top,composition(top,X_334)) = composition(top,X_334) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,X_334))),bind(Y,$fot(composition(top,composition(top,X_334))))]]) ).
cnf(refute_0_3680,plain,
composition(top,composition(top,X_334)) = composition(top,X_334),
inference(resolve,[$cnf( $equal(composition(top,X_334),composition(top,composition(top,X_334))) )],[refute_0_3678,refute_0_3679]) ).
cnf(refute_0_3681,plain,
( composition(top,composition(top,X_334)) != composition(top,X_334)
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,composition(top,X_334))))) != complement(composition(top,X_334))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = complement(composition(top,X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,composition(top,X_334))))),complement(composition(top,X_334))) ),[0,1,1,0],$fot(composition(top,X_334))]]) ).
cnf(refute_0_3682,plain,
( join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,composition(top,X_334))))) != complement(composition(top,X_334))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = complement(composition(top,X_334)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_334)),composition(top,X_334)) )],[refute_0_3680,refute_0_3681]) ).
cnf(refute_0_3683,plain,
join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = complement(composition(top,X_334)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,composition(top,X_334))))),complement(composition(top,X_334))) )],[refute_0_3651,refute_0_3682]) ).
cnf(refute_0_3684,plain,
composition(join(one,converse(top)),complement(composition(top,X_334))) = composition(join(one,converse(top)),complement(composition(top,X_334))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_334))))]]) ).
cnf(refute_0_3685,plain,
( composition(join(one,converse(top)),complement(composition(top,X_334))) != composition(join(one,converse(top)),complement(composition(top,X_334)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_334))) = composition(top,complement(composition(top,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_334))),composition(join(one,converse(top)),complement(composition(top,X_334)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3686,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_334))) = composition(top,complement(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_334))),composition(join(one,converse(top)),complement(composition(top,X_334)))) )],[refute_0_3684,refute_0_3685]) ).
cnf(refute_0_3687,plain,
composition(join(one,converse(top)),complement(composition(top,X_334))) = composition(top,complement(composition(top,X_334))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_551,refute_0_3686]) ).
cnf(refute_0_3688,plain,
composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = join(composition(converse(complement(composition(X_236,top))),X_236),composition(X_235,X_236)),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(converse(complement(composition(X_236,top))))),bind(X1,$fot(X_235)),bind(X2,$fot(X_236))]]) ).
cnf(refute_0_3689,plain,
converse(composition(converse(X_95),complement(composition(X_95,top)))) = composition(converse(complement(composition(X_95,top))),converse(converse(X_95))),
inference(subst,[],[refute_0_41:[bind(X0,$fot(converse(X_95))),bind(X1,$fot(complement(composition(X_95,top))))]]) ).
cnf(refute_0_3690,plain,
composition(converse(X_95),complement(composition(X_95,top))) = zero,
inference(subst,[],[refute_0_3304:[bind(X_36,$fot(X_95))]]) ).
cnf(refute_0_3691,plain,
( composition(converse(X_95),complement(composition(X_95,top))) != zero
| converse(composition(converse(X_95),complement(composition(X_95,top)))) != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| converse(zero) = composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_95),complement(composition(X_95,top)))),composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3692,plain,
( converse(composition(converse(X_95),complement(composition(X_95,top)))) != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| converse(zero) = composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_95),complement(composition(X_95,top))),zero) )],[refute_0_3690,refute_0_3691]) ).
cnf(refute_0_3693,plain,
converse(zero) = composition(converse(complement(composition(X_95,top))),converse(converse(X_95))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_95),complement(composition(X_95,top)))),composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))) )],[refute_0_3689,refute_0_3692]) ).
cnf(refute_0_3694,plain,
( converse(zero) != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_3695,plain,
( converse(zero) != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| zero = composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_3694]) ).
cnf(refute_0_3696,plain,
converse(composition(converse(X_95),complement(composition(X_95,top)))) = composition(converse(complement(composition(X_95,top))),X_95),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_95)),bind(X_7,$fot(complement(composition(X_95,top))))]]) ).
cnf(refute_0_3697,plain,
composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) = converse(composition(converse(X_95),complement(composition(X_95,top)))),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(converse(X_95))),bind(X1,$fot(complement(composition(X_95,top))))]]) ).
cnf(refute_0_3698,plain,
( composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) != converse(composition(converse(X_95),complement(composition(X_95,top))))
| converse(composition(converse(X_95),complement(composition(X_95,top)))) != composition(converse(complement(composition(X_95,top))),X_95)
| composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) = composition(converse(complement(composition(X_95,top))),X_95) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(composition(X_95,top))),converse(converse(X_95))))),bind(Y,$fot(converse(composition(converse(X_95),complement(composition(X_95,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_95,top))),X_95)))]]) ).
cnf(refute_0_3699,plain,
( converse(composition(converse(X_95),complement(composition(X_95,top)))) != composition(converse(complement(composition(X_95,top))),X_95)
| composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) = composition(converse(complement(composition(X_95,top))),X_95) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_95,top))),converse(converse(X_95))),converse(composition(converse(X_95),complement(composition(X_95,top))))) )],[refute_0_3697,refute_0_3698]) ).
cnf(refute_0_3700,plain,
composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) = composition(converse(complement(composition(X_95,top))),X_95),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_95),complement(composition(X_95,top)))),composition(converse(complement(composition(X_95,top))),X_95)) )],[refute_0_3696,refute_0_3699]) ).
cnf(refute_0_3701,plain,
( composition(converse(complement(composition(X_95,top))),converse(converse(X_95))) != composition(converse(complement(composition(X_95,top))),X_95)
| zero != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| zero = composition(converse(complement(composition(X_95,top))),X_95) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))) ),[1],$fot(composition(converse(complement(composition(X_95,top))),X_95))]]) ).
cnf(refute_0_3702,plain,
( zero != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| zero = composition(converse(complement(composition(X_95,top))),X_95) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_95,top))),converse(converse(X_95))),composition(converse(complement(composition(X_95,top))),X_95)) )],[refute_0_3700,refute_0_3701]) ).
cnf(refute_0_3703,plain,
( converse(zero) != composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))
| zero = composition(converse(complement(composition(X_95,top))),X_95) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))) )],[refute_0_3695,refute_0_3702]) ).
cnf(refute_0_3704,plain,
zero = composition(converse(complement(composition(X_95,top))),X_95),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_95,top))),converse(converse(X_95)))) )],[refute_0_3693,refute_0_3703]) ).
cnf(refute_0_3705,plain,
zero = composition(converse(complement(composition(X_236,top))),X_236),
inference(subst,[],[refute_0_3704:[bind(X_95,$fot(X_236))]]) ).
cnf(refute_0_3706,plain,
( zero != composition(converse(complement(composition(X_236,top))),X_236)
| composition(converse(complement(composition(X_236,top))),X_236) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_236,top))),X_236)))]]) ).
cnf(refute_0_3707,plain,
composition(converse(complement(composition(X_236,top))),X_236) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_236,top))),X_236)) )],[refute_0_3705,refute_0_3706]) ).
cnf(refute_0_3708,plain,
( composition(converse(complement(composition(X_236,top))),X_236) != zero
| composition(join(converse(complement(composition(X_236,top))),X_235),X_236) != join(composition(converse(complement(composition(X_236,top))),X_236),composition(X_235,X_236))
| composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = join(zero,composition(X_235,X_236)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),X_235),X_236),join(composition(converse(complement(composition(X_236,top))),X_236),composition(X_235,X_236))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3709,plain,
( composition(join(converse(complement(composition(X_236,top))),X_235),X_236) != join(composition(converse(complement(composition(X_236,top))),X_236),composition(X_235,X_236))
| composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = join(zero,composition(X_235,X_236)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_236,top))),X_236),zero) )],[refute_0_3707,refute_0_3708]) ).
cnf(refute_0_3710,plain,
composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = join(zero,composition(X_235,X_236)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),X_235),X_236),join(composition(converse(complement(composition(X_236,top))),X_236),composition(X_235,X_236))) )],[refute_0_3688,refute_0_3709]) ).
cnf(refute_0_3711,plain,
join(zero,composition(X_235,X_236)) = composition(X_235,X_236),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(X_235,X_236)))]]) ).
cnf(refute_0_3712,plain,
( composition(join(converse(complement(composition(X_236,top))),X_235),X_236) != join(zero,composition(X_235,X_236))
| join(zero,composition(X_235,X_236)) != composition(X_235,X_236)
| composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = composition(X_235,X_236) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(complement(composition(X_236,top))),X_235),X_236),composition(X_235,X_236)) ),[0],$fot(join(zero,composition(X_235,X_236)))]]) ).
cnf(refute_0_3713,plain,
( composition(join(converse(complement(composition(X_236,top))),X_235),X_236) != join(zero,composition(X_235,X_236))
| composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = composition(X_235,X_236) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_235,X_236)),composition(X_235,X_236)) )],[refute_0_3711,refute_0_3712]) ).
cnf(refute_0_3714,plain,
composition(join(converse(complement(composition(X_236,top))),X_235),X_236) = composition(X_235,X_236),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),X_235),X_236),join(zero,composition(X_235,X_236))) )],[refute_0_3710,refute_0_3713]) ).
cnf(refute_0_3715,plain,
composition(join(converse(complement(composition(X_236,top))),join(X_262,X_260)),X_236) = composition(join(X_262,X_260),X_236),
inference(subst,[],[refute_0_3714:[bind(X_235,$fot(join(X_262,X_260)))]]) ).
cnf(refute_0_3716,plain,
join(X_260,join(converse(complement(composition(X_236,top))),X_262)) = join(converse(complement(composition(X_236,top))),join(X_262,X_260)),
inference(subst,[],[refute_0_421:[bind(X0,$fot(X_260)),bind(X_25,$fot(converse(complement(composition(X_236,top))))),bind(X_26,$fot(X_262))]]) ).
cnf(refute_0_3717,plain,
( join(X_260,join(converse(complement(composition(X_236,top))),X_262)) != join(converse(complement(composition(X_236,top))),join(X_262,X_260))
| join(converse(complement(composition(X_236,top))),join(X_262,X_260)) = join(X_260,join(converse(complement(composition(X_236,top))),X_262)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_260,join(converse(complement(composition(X_236,top))),X_262)))),bind(Y,$fot(join(converse(complement(composition(X_236,top))),join(X_262,X_260))))]]) ).
cnf(refute_0_3718,plain,
join(converse(complement(composition(X_236,top))),join(X_262,X_260)) = join(X_260,join(converse(complement(composition(X_236,top))),X_262)),
inference(resolve,[$cnf( $equal(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),join(converse(complement(composition(X_236,top))),join(X_262,X_260))) )],[refute_0_3716,refute_0_3717]) ).
cnf(refute_0_3719,plain,
( composition(join(converse(complement(composition(X_236,top))),join(X_262,X_260)),X_236) != composition(join(X_262,X_260),X_236)
| join(converse(complement(composition(X_236,top))),join(X_262,X_260)) != join(X_260,join(converse(complement(composition(X_236,top))),X_262))
| composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) = composition(join(X_262,X_260),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_262,X_260)),X_236),composition(join(X_262,X_260),X_236)) ),[0,0],$fot(join(X_260,join(converse(complement(composition(X_236,top))),X_262)))]]) ).
cnf(refute_0_3720,plain,
( composition(join(converse(complement(composition(X_236,top))),join(X_262,X_260)),X_236) != composition(join(X_262,X_260),X_236)
| composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) = composition(join(X_262,X_260),X_236) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_236,top))),join(X_262,X_260)),join(X_260,join(converse(complement(composition(X_236,top))),X_262))) )],[refute_0_3718,refute_0_3719]) ).
cnf(refute_0_3721,plain,
composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) = composition(join(X_262,X_260),X_236),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_262,X_260)),X_236),composition(join(X_262,X_260),X_236)) )],[refute_0_3715,refute_0_3720]) ).
cnf(refute_0_3722,plain,
composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = join(composition(X0,X2),composition(join(converse(complement(composition(X2,top))),X_252),X2)),
inference(subst,[],[refute_0_1261:[bind(X1,$fot(join(converse(complement(composition(X2,top))),X_252)))]]) ).
cnf(refute_0_3723,plain,
composition(join(converse(complement(composition(X2,top))),X_252),X2) = composition(X_252,X2),
inference(subst,[],[refute_0_3714:[bind(X_235,$fot(X_252)),bind(X_236,$fot(X2))]]) ).
cnf(refute_0_3724,plain,
( composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) != join(composition(X0,X2),composition(join(converse(complement(composition(X2,top))),X_252),X2))
| composition(join(converse(complement(composition(X2,top))),X_252),X2) != composition(X_252,X2)
| composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = join(composition(X0,X2),composition(X_252,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2),join(composition(X0,X2),composition(join(converse(complement(composition(X2,top))),X_252),X2))) ),[1,1],$fot(composition(X_252,X2))]]) ).
cnf(refute_0_3725,plain,
( composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) != join(composition(X0,X2),composition(join(converse(complement(composition(X2,top))),X_252),X2))
| composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = join(composition(X0,X2),composition(X_252,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X2,top))),X_252),X2),composition(X_252,X2)) )],[refute_0_3723,refute_0_3724]) ).
cnf(refute_0_3726,plain,
composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = join(composition(X0,X2),composition(X_252,X2)),
inference(resolve,[$cnf( $equal(composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2),join(composition(X0,X2),composition(join(converse(complement(composition(X2,top))),X_252),X2))) )],[refute_0_3722,refute_0_3725]) ).
cnf(refute_0_3727,plain,
join(composition(X0,X2),composition(X_252,X2)) = composition(join(X0,X_252),X2),
inference(subst,[],[refute_0_3472:[bind(X1,$fot(X_252))]]) ).
cnf(refute_0_3728,plain,
( composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) != join(composition(X0,X2),composition(X_252,X2))
| join(composition(X0,X2),composition(X_252,X2)) != composition(join(X0,X_252),X2)
| composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = composition(join(X0,X_252),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2),composition(join(X0,X_252),X2)) ),[0],$fot(join(composition(X0,X2),composition(X_252,X2)))]]) ).
cnf(refute_0_3729,plain,
( composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) != join(composition(X0,X2),composition(X_252,X2))
| composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = composition(join(X0,X_252),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X_252,X2)),composition(join(X0,X_252),X2)) )],[refute_0_3727,refute_0_3728]) ).
cnf(refute_0_3730,plain,
composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2) = composition(join(X0,X_252),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,join(converse(complement(composition(X2,top))),X_252)),X2),join(composition(X0,X2),composition(X_252,X2))) )],[refute_0_3726,refute_0_3729]) ).
cnf(refute_0_3731,plain,
composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) = composition(join(X_260,X_262),X_236),
inference(subst,[],[refute_0_3730:[bind(X0,$fot(X_260)),bind(X2,$fot(X_236)),bind(X_252,$fot(X_262))]]) ).
cnf(refute_0_3732,plain,
( composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) != composition(join(X_260,X_262),X_236)
| composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) != composition(join(X_262,X_260),X_236)
| composition(join(X_260,X_262),X_236) = composition(join(X_262,X_260),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236),composition(join(X_262,X_260),X_236)) ),[0],$fot(composition(join(X_260,X_262),X_236))]]) ).
cnf(refute_0_3733,plain,
( composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236) != composition(join(X_262,X_260),X_236)
| composition(join(X_260,X_262),X_236) = composition(join(X_262,X_260),X_236) ),
inference(resolve,[$cnf( $equal(composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236),composition(join(X_260,X_262),X_236)) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
composition(join(X_260,X_262),X_236) = composition(join(X_262,X_260),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_260,join(converse(complement(composition(X_236,top))),X_262)),X_236),composition(join(X_262,X_260),X_236)) )],[refute_0_3721,refute_0_3733]) ).
cnf(refute_0_3735,plain,
( composition(join(X_260,X_262),X_236) != composition(join(X_262,X_260),X_236)
| composition(join(X_262,X_260),X_236) = composition(join(X_260,X_262),X_236) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_260,X_262),X_236))),bind(Y,$fot(composition(join(X_262,X_260),X_236)))]]) ).
cnf(refute_0_3736,plain,
composition(join(X_262,X_260),X_236) = composition(join(X_260,X_262),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_260,X_262),X_236),composition(join(X_262,X_260),X_236)) )],[refute_0_3734,refute_0_3735]) ).
cnf(refute_0_3737,plain,
composition(join(converse(top),one),complement(composition(top,X_334))) = composition(join(one,converse(top)),complement(composition(top,X_334))),
inference(subst,[],[refute_0_3736:[bind(X_236,$fot(complement(composition(top,X_334)))),bind(X_260,$fot(one)),bind(X_262,$fot(converse(top)))]]) ).
cnf(refute_0_3738,plain,
join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(join(converse(top),one),complement(composition(top,X_334))),
inference(subst,[],[refute_0_3492:[bind(X_234,$fot(converse(top))),bind(X_236,$fot(complement(composition(top,X_334))))]]) ).
cnf(refute_0_3739,plain,
( composition(join(converse(top),one),complement(composition(top,X_334))) != composition(join(one,converse(top)),complement(composition(top,X_334)))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) != composition(join(converse(top),one),complement(composition(top,X_334)))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(join(one,converse(top)),complement(composition(top,X_334))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_334))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_334)))))]]) ).
cnf(refute_0_3740,plain,
( composition(join(converse(top),one),complement(composition(top,X_334))) != composition(join(one,converse(top)),complement(composition(top,X_334)))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(join(one,converse(top)),complement(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))),composition(join(converse(top),one),complement(composition(top,X_334)))) )],[refute_0_3738,refute_0_3739]) ).
cnf(refute_0_3741,plain,
join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(join(one,converse(top)),complement(composition(top,X_334))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_334))),composition(join(one,converse(top)),complement(composition(top,X_334)))) )],[refute_0_3737,refute_0_3740]) ).
cnf(refute_0_3742,plain,
( composition(join(one,converse(top)),complement(composition(top,X_334))) != composition(top,complement(composition(top,X_334)))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) != composition(join(one,converse(top)),complement(composition(top,X_334)))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(top,complement(composition(top,X_334))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_334))))),bind(Z,$fot(composition(top,complement(composition(top,X_334)))))]]) ).
cnf(refute_0_3743,plain,
( composition(join(one,converse(top)),complement(composition(top,X_334))) != composition(top,complement(composition(top,X_334)))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(top,complement(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))),composition(join(one,converse(top)),complement(composition(top,X_334)))) )],[refute_0_3741,refute_0_3742]) ).
cnf(refute_0_3744,plain,
join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) = composition(top,complement(composition(top,X_334))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_334))),composition(top,complement(composition(top,X_334)))) )],[refute_0_3687,refute_0_3743]) ).
cnf(refute_0_3745,plain,
( join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) != complement(composition(top,X_334))
| join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) != composition(top,complement(composition(top,X_334)))
| composition(top,complement(composition(top,X_334))) = complement(composition(top,X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))),complement(composition(top,X_334))) ),[0],$fot(composition(top,complement(composition(top,X_334))))]]) ).
cnf(refute_0_3746,plain,
( join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))) != complement(composition(top,X_334))
| composition(top,complement(composition(top,X_334))) = complement(composition(top,X_334)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))),composition(top,complement(composition(top,X_334)))) )],[refute_0_3744,refute_0_3745]) ).
cnf(refute_0_3747,plain,
composition(top,complement(composition(top,X_334))) = complement(composition(top,X_334)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_334)),composition(converse(top),complement(composition(top,X_334)))),complement(composition(top,X_334))) )],[refute_0_3683,refute_0_3746]) ).
cnf(refute_0_3748,plain,
composition(top,complement(composition(top,X_336))) = complement(composition(top,X_336)),
inference(subst,[],[refute_0_3747:[bind(X_334,$fot(X_336))]]) ).
cnf(refute_0_3749,plain,
( composition(complement(composition(top,X_336)),complement(converse(composition(top,complement(composition(top,X_336)))))) != zero
| composition(top,complement(composition(top,X_336))) != complement(composition(top,X_336))
| composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(composition(top,complement(composition(top,X_336)))))),zero) ),[0,1,0,0],$fot(complement(composition(top,X_336)))]]) ).
cnf(refute_0_3750,plain,
( composition(complement(composition(top,X_336)),complement(converse(composition(top,complement(composition(top,X_336)))))) != zero
| composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_336))),complement(composition(top,X_336))) )],[refute_0_3748,refute_0_3749]) ).
cnf(refute_0_3751,plain,
composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(composition(top,complement(composition(top,X_336)))))),zero) )],[refute_0_3650,refute_0_3750]) ).
cnf(refute_0_3752,plain,
complement(complement(converse(composition(top,X_336)))) = converse(composition(top,X_336)),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(composition(top,X_336))))]]) ).
cnf(refute_0_3753,plain,
meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = complement(join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),
inference(subst,[],[refute_0_230:[bind(X_180,$fot(composition(complement(composition(X_178,composition(top,top))),composition(top,top))))]]) ).
cnf(refute_0_3754,plain,
join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))) = complement(X_178),
inference(subst,[],[refute_0_3292:[bind(X_135,$fot(X_178))]]) ).
cnf(refute_0_3755,plain,
( join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))) != complement(X_178)
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != complement(join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = complement(complement(X_178)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),complement(join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))))) ),[1,0],$fot(complement(X_178))]]) ).
cnf(refute_0_3756,plain,
( meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != complement(join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = complement(complement(X_178)) ),
inference(resolve,[$cnf( $equal(join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))),complement(X_178)) )],[refute_0_3754,refute_0_3755]) ).
cnf(refute_0_3757,plain,
meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = complement(complement(X_178)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),complement(join(complement(X_178),composition(complement(composition(X_178,composition(top,top))),composition(top,top))))) )],[refute_0_3753,refute_0_3756]) ).
cnf(refute_0_3758,plain,
complement(complement(X_178)) = X_178,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_178))]]) ).
cnf(refute_0_3759,plain,
( complement(complement(X_178)) != X_178
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != complement(complement(X_178))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = X_178 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),complement(complement(X_178))) ),[1],$fot(X_178)]]) ).
cnf(refute_0_3760,plain,
( meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != complement(complement(X_178))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = X_178 ),
inference(resolve,[$cnf( $equal(complement(complement(X_178)),X_178) )],[refute_0_3758,refute_0_3759]) ).
cnf(refute_0_3761,plain,
meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = X_178,
inference(resolve,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),complement(complement(X_178))) )],[refute_0_3757,refute_0_3760]) ).
cnf(refute_0_3762,plain,
composition(complement(composition(X_178,top)),composition(top,top)) = composition(complement(composition(X_178,top)),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_178,top)),composition(top,top)))]]) ).
cnf(refute_0_3763,plain,
( composition(complement(composition(X_178,top)),composition(top,top)) != composition(complement(composition(X_178,top)),composition(top,top))
| composition(top,top) != top
| composition(complement(composition(X_178,top)),composition(top,top)) = composition(complement(composition(X_178,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_178,top)),composition(top,top)),composition(complement(composition(X_178,top)),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3764,plain,
( composition(top,top) != top
| composition(complement(composition(X_178,top)),composition(top,top)) = composition(complement(composition(X_178,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_178,top)),composition(top,top)),composition(complement(composition(X_178,top)),composition(top,top))) )],[refute_0_3762,refute_0_3763]) ).
cnf(refute_0_3765,plain,
composition(complement(composition(X_178,top)),composition(top,top)) = composition(complement(composition(X_178,top)),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3554,refute_0_3764]) ).
cnf(refute_0_3766,plain,
composition(X_178,composition(top,top)) = composition(X_178,composition(top,top)),
introduced(tautology,[refl,[$fot(composition(X_178,composition(top,top)))]]) ).
cnf(refute_0_3767,plain,
( composition(X_178,composition(top,top)) != composition(X_178,composition(top,top))
| composition(top,top) != top
| composition(X_178,composition(top,top)) = composition(X_178,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_178,composition(top,top)),composition(X_178,composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3768,plain,
( composition(top,top) != top
| composition(X_178,composition(top,top)) = composition(X_178,top) ),
inference(resolve,[$cnf( $equal(composition(X_178,composition(top,top)),composition(X_178,composition(top,top))) )],[refute_0_3766,refute_0_3767]) ).
cnf(refute_0_3769,plain,
composition(X_178,composition(top,top)) = composition(X_178,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3554,refute_0_3768]) ).
cnf(refute_0_3770,plain,
complement(composition(X_178,composition(top,top))) = complement(composition(X_178,composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(X_178,composition(top,top))))]]) ).
cnf(refute_0_3771,plain,
( complement(composition(X_178,composition(top,top))) != complement(composition(X_178,composition(top,top)))
| composition(X_178,composition(top,top)) != composition(X_178,top)
| complement(composition(X_178,composition(top,top))) = complement(composition(X_178,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(X_178,composition(top,top))),complement(composition(X_178,composition(top,top)))) ),[1,0],$fot(composition(X_178,top))]]) ).
cnf(refute_0_3772,plain,
( composition(X_178,composition(top,top)) != composition(X_178,top)
| complement(composition(X_178,composition(top,top))) = complement(composition(X_178,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(X_178,composition(top,top))),complement(composition(X_178,composition(top,top)))) )],[refute_0_3770,refute_0_3771]) ).
cnf(refute_0_3773,plain,
complement(composition(X_178,composition(top,top))) = complement(composition(X_178,top)),
inference(resolve,[$cnf( $equal(composition(X_178,composition(top,top)),composition(X_178,top)) )],[refute_0_3769,refute_0_3772]) ).
cnf(refute_0_3774,plain,
composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,composition(top,top))),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))]]) ).
cnf(refute_0_3775,plain,
( complement(composition(X_178,composition(top,top))) != complement(composition(X_178,top))
| composition(complement(composition(X_178,composition(top,top))),composition(top,top)) != composition(complement(composition(X_178,composition(top,top))),composition(top,top))
| composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,top)),composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_178,composition(top,top))),composition(top,top)),composition(complement(composition(X_178,composition(top,top))),composition(top,top))) ),[1,0],$fot(complement(composition(X_178,top)))]]) ).
cnf(refute_0_3776,plain,
( complement(composition(X_178,composition(top,top))) != complement(composition(X_178,top))
| composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,top)),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_178,composition(top,top))),composition(top,top)),composition(complement(composition(X_178,composition(top,top))),composition(top,top))) )],[refute_0_3774,refute_0_3775]) ).
cnf(refute_0_3777,plain,
composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,top)),composition(top,top)),
inference(resolve,[$cnf( $equal(complement(composition(X_178,composition(top,top))),complement(composition(X_178,top))) )],[refute_0_3773,refute_0_3776]) ).
cnf(refute_0_3778,plain,
( composition(complement(composition(X_178,composition(top,top))),composition(top,top)) != composition(complement(composition(X_178,top)),composition(top,top))
| composition(complement(composition(X_178,top)),composition(top,top)) != composition(complement(composition(X_178,top)),top)
| composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,top)),top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),bind(Y,$fot(composition(complement(composition(X_178,top)),composition(top,top)))),bind(Z,$fot(composition(complement(composition(X_178,top)),top)))]]) ).
cnf(refute_0_3779,plain,
( composition(complement(composition(X_178,top)),composition(top,top)) != composition(complement(composition(X_178,top)),top)
| composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_178,composition(top,top))),composition(top,top)),composition(complement(composition(X_178,top)),composition(top,top))) )],[refute_0_3777,refute_0_3778]) ).
cnf(refute_0_3780,plain,
composition(complement(composition(X_178,composition(top,top))),composition(top,top)) = composition(complement(composition(X_178,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_178,top)),composition(top,top)),composition(complement(composition(X_178,top)),top)) )],[refute_0_3765,refute_0_3779]) ).
cnf(refute_0_3781,plain,
complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) = complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))))]]) ).
cnf(refute_0_3782,plain,
( complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) != complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))
| composition(complement(composition(X_178,composition(top,top))),composition(top,top)) != composition(complement(composition(X_178,top)),top)
| complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) = complement(composition(complement(composition(X_178,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))),complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) ),[1,0],$fot(composition(complement(composition(X_178,top)),top))]]) ).
cnf(refute_0_3783,plain,
( composition(complement(composition(X_178,composition(top,top))),composition(top,top)) != composition(complement(composition(X_178,top)),top)
| complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) = complement(composition(complement(composition(X_178,top)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))),complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) )],[refute_0_3781,refute_0_3782]) ).
cnf(refute_0_3784,plain,
complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) = complement(composition(complement(composition(X_178,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_178,composition(top,top))),composition(top,top)),composition(complement(composition(X_178,top)),top)) )],[refute_0_3780,refute_0_3783]) ).
cnf(refute_0_3785,plain,
meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))))]]) ).
cnf(refute_0_3786,plain,
( complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) != complement(composition(complement(composition(X_178,top)),top))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = meet(X_178,complement(composition(complement(composition(X_178,top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))))) ),[1,1],$fot(complement(composition(complement(composition(X_178,top)),top)))]]) ).
cnf(refute_0_3787,plain,
( complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))) != complement(composition(complement(composition(X_178,top)),top))
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = meet(X_178,complement(composition(complement(composition(X_178,top)),top))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))))) )],[refute_0_3785,refute_0_3786]) ).
cnf(refute_0_3788,plain,
meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) = meet(X_178,complement(composition(complement(composition(X_178,top)),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top))),complement(composition(complement(composition(X_178,top)),top))) )],[refute_0_3784,refute_0_3787]) ).
cnf(refute_0_3789,plain,
( meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != X_178
| meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != meet(X_178,complement(composition(complement(composition(X_178,top)),top)))
| meet(X_178,complement(composition(complement(composition(X_178,top)),top))) = X_178 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),X_178) ),[0],$fot(meet(X_178,complement(composition(complement(composition(X_178,top)),top))))]]) ).
cnf(refute_0_3790,plain,
( meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))) != X_178
| meet(X_178,complement(composition(complement(composition(X_178,top)),top))) = X_178 ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),meet(X_178,complement(composition(complement(composition(X_178,top)),top)))) )],[refute_0_3788,refute_0_3789]) ).
cnf(refute_0_3791,plain,
meet(X_178,complement(composition(complement(composition(X_178,top)),top))) = X_178,
inference(resolve,[$cnf( $equal(meet(X_178,complement(composition(complement(composition(X_178,composition(top,top))),composition(top,top)))),X_178) )],[refute_0_3761,refute_0_3790]) ).
cnf(refute_0_3792,plain,
meet(converse(X_7),complement(composition(complement(composition(converse(X_7),top)),top))) = converse(X_7),
inference(subst,[],[refute_0_3791:[bind(X_178,$fot(converse(X_7)))]]) ).
cnf(refute_0_3793,plain,
( composition(converse(X_7),top) != converse(composition(top,X_7))
| meet(converse(X_7),complement(composition(complement(composition(converse(X_7),top)),top))) != converse(X_7)
| meet(converse(X_7),complement(composition(complement(converse(composition(top,X_7))),top))) = converse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_7),complement(composition(complement(composition(converse(X_7),top)),top))),converse(X_7)) ),[0,1,0,0,0],$fot(converse(composition(top,X_7)))]]) ).
cnf(refute_0_3794,plain,
( meet(converse(X_7),complement(composition(complement(composition(converse(X_7),top)),top))) != converse(X_7)
| meet(converse(X_7),complement(composition(complement(converse(composition(top,X_7))),top))) = converse(X_7) ),
inference(resolve,[$cnf( $equal(composition(converse(X_7),top),converse(composition(top,X_7))) )],[refute_0_3629,refute_0_3793]) ).
cnf(refute_0_3795,plain,
meet(converse(X_7),complement(composition(complement(converse(composition(top,X_7))),top))) = converse(X_7),
inference(resolve,[$cnf( $equal(meet(converse(X_7),complement(composition(complement(composition(converse(X_7),top)),top))),converse(X_7)) )],[refute_0_3792,refute_0_3794]) ).
cnf(refute_0_3796,plain,
meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(composition(top,complement(composition(top,X_334))))),top))) = converse(complement(composition(top,X_334))),
inference(subst,[],[refute_0_3795:[bind(X_7,$fot(complement(composition(top,X_334))))]]) ).
cnf(refute_0_3797,plain,
( composition(top,complement(composition(top,X_334))) != complement(composition(top,X_334))
| meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(composition(top,complement(composition(top,X_334))))),top))) != converse(complement(composition(top,X_334)))
| meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) = converse(complement(composition(top,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(composition(top,complement(composition(top,X_334))))),top))),converse(complement(composition(top,X_334)))) ),[0,1,0,0,0,0],$fot(complement(composition(top,X_334)))]]) ).
cnf(refute_0_3798,plain,
( meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(composition(top,complement(composition(top,X_334))))),top))) != converse(complement(composition(top,X_334)))
| meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) = converse(complement(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_334))),complement(composition(top,X_334))) )],[refute_0_3747,refute_0_3797]) ).
cnf(refute_0_3799,plain,
meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) = converse(complement(composition(top,X_334))),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(composition(top,complement(composition(top,X_334))))),top))),converse(complement(composition(top,X_334)))) )],[refute_0_3796,refute_0_3798]) ).
cnf(refute_0_3800,plain,
complement(converse(composition(top,complement(converse(X_99))))) = join(complement(join(X_99,converse(composition(top,complement(converse(X_99)))))),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(converse(composition(top,complement(converse(X_99))))))]]) ).
cnf(refute_0_3801,plain,
converse(join(converse(X0),composition(top,complement(converse(X0))))) = join(X0,converse(composition(top,complement(converse(X0))))),
inference(subst,[],[refute_0_310:[bind(X_20,$fot(composition(top,complement(converse(X0)))))]]) ).
cnf(refute_0_3802,plain,
join(X_25,join(complement(X_25),composition(X_243,complement(X_25)))) = top,
inference(subst,[],[refute_0_2009:[bind(X_27,$fot(composition(X_243,complement(X_25))))]]) ).
cnf(refute_0_3803,plain,
composition(join(X_243,one),complement(X_25)) = join(complement(X_25),composition(X_243,complement(X_25))),
inference(subst,[],[refute_0_3490:[bind(X_234,$fot(X_243)),bind(X_236,$fot(complement(X_25)))]]) ).
cnf(refute_0_3804,plain,
( composition(join(X_243,one),complement(X_25)) != join(complement(X_25),composition(X_243,complement(X_25)))
| join(complement(X_25),composition(X_243,complement(X_25))) = composition(join(X_243,one),complement(X_25)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_243,one),complement(X_25)))),bind(Y,$fot(join(complement(X_25),composition(X_243,complement(X_25)))))]]) ).
cnf(refute_0_3805,plain,
join(complement(X_25),composition(X_243,complement(X_25))) = composition(join(X_243,one),complement(X_25)),
inference(resolve,[$cnf( $equal(composition(join(X_243,one),complement(X_25)),join(complement(X_25),composition(X_243,complement(X_25)))) )],[refute_0_3803,refute_0_3804]) ).
cnf(refute_0_3806,plain,
( join(X_25,join(complement(X_25),composition(X_243,complement(X_25)))) != top
| join(complement(X_25),composition(X_243,complement(X_25))) != composition(join(X_243,one),complement(X_25))
| join(X_25,composition(join(X_243,one),complement(X_25))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(complement(X_25),composition(X_243,complement(X_25)))),top) ),[0,1],$fot(composition(join(X_243,one),complement(X_25)))]]) ).
cnf(refute_0_3807,plain,
( join(X_25,join(complement(X_25),composition(X_243,complement(X_25)))) != top
| join(X_25,composition(join(X_243,one),complement(X_25))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_25),composition(X_243,complement(X_25))),composition(join(X_243,one),complement(X_25))) )],[refute_0_3805,refute_0_3806]) ).
cnf(refute_0_3808,plain,
join(X_25,composition(join(X_243,one),complement(X_25))) = top,
inference(resolve,[$cnf( $equal(join(X_25,join(complement(X_25),composition(X_243,complement(X_25)))),top) )],[refute_0_3802,refute_0_3807]) ).
cnf(refute_0_3809,plain,
join(X_321,composition(join(top,one),complement(X_321))) = top,
inference(subst,[],[refute_0_3808:[bind(X_243,$fot(top)),bind(X_25,$fot(X_321))]]) ).
cnf(refute_0_3810,plain,
top = join(top,one),
inference(subst,[],[refute_0_526:[bind(X_25,$fot(one))]]) ).
cnf(refute_0_3811,plain,
( top != join(top,one)
| join(top,one) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,one)))]]) ).
cnf(refute_0_3812,plain,
join(top,one) = top,
inference(resolve,[$cnf( $equal(top,join(top,one)) )],[refute_0_3810,refute_0_3811]) ).
cnf(refute_0_3813,plain,
( join(X_321,composition(join(top,one),complement(X_321))) != top
| join(top,one) != top
| join(X_321,composition(top,complement(X_321))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_321,composition(join(top,one),complement(X_321))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_3814,plain,
( join(X_321,composition(join(top,one),complement(X_321))) != top
| join(X_321,composition(top,complement(X_321))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_3812,refute_0_3813]) ).
cnf(refute_0_3815,plain,
join(X_321,composition(top,complement(X_321))) = top,
inference(resolve,[$cnf( $equal(join(X_321,composition(join(top,one),complement(X_321))),top) )],[refute_0_3809,refute_0_3814]) ).
cnf(refute_0_3816,plain,
join(converse(X0),composition(top,complement(converse(X0)))) = top,
inference(subst,[],[refute_0_3815:[bind(X_321,$fot(converse(X0)))]]) ).
cnf(refute_0_3817,plain,
( converse(join(converse(X0),composition(top,complement(converse(X0))))) != join(X0,converse(composition(top,complement(converse(X0)))))
| join(converse(X0),composition(top,complement(converse(X0)))) != top
| converse(top) = join(X0,converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(converse(X0))))),join(X0,converse(composition(top,complement(converse(X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3818,plain,
( converse(join(converse(X0),composition(top,complement(converse(X0))))) != join(X0,converse(composition(top,complement(converse(X0)))))
| converse(top) = join(X0,converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(top,complement(converse(X0)))),top) )],[refute_0_3816,refute_0_3817]) ).
cnf(refute_0_3819,plain,
converse(top) = join(X0,converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(converse(X0))))),join(X0,converse(composition(top,complement(converse(X0)))))) )],[refute_0_3801,refute_0_3818]) ).
cnf(refute_0_3820,plain,
( converse(top) != join(X0,converse(composition(top,complement(converse(X0)))))
| converse(top) != top
| top = join(X0,converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(composition(top,complement(converse(X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3821,plain,
( converse(top) != join(X0,converse(composition(top,complement(converse(X0)))))
| top = join(X0,converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_3820]) ).
cnf(refute_0_3822,plain,
top = join(X0,converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(composition(top,complement(converse(X0)))))) )],[refute_0_3819,refute_0_3821]) ).
cnf(refute_0_3823,plain,
top = join(X_99,converse(composition(top,complement(converse(X_99))))),
inference(subst,[],[refute_0_3822:[bind(X0,$fot(X_99))]]) ).
cnf(refute_0_3824,plain,
( top != join(X_99,converse(composition(top,complement(converse(X_99)))))
| join(X_99,converse(composition(top,complement(converse(X_99))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_99,converse(composition(top,complement(converse(X_99)))))))]]) ).
cnf(refute_0_3825,plain,
join(X_99,converse(composition(top,complement(converse(X_99))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_99,converse(composition(top,complement(converse(X_99)))))) )],[refute_0_3823,refute_0_3824]) ).
cnf(refute_0_3826,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != join(complement(join(X_99,converse(composition(top,complement(converse(X_99)))))),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| join(X_99,converse(composition(top,complement(converse(X_99))))) != top
| complement(converse(composition(top,complement(converse(X_99))))) = join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),join(complement(join(X_99,converse(composition(top,complement(converse(X_99)))))),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3827,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != join(complement(join(X_99,converse(composition(top,complement(converse(X_99)))))),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| complement(converse(composition(top,complement(converse(X_99))))) = join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) ),
inference(resolve,[$cnf( $equal(join(X_99,converse(composition(top,complement(converse(X_99))))),top) )],[refute_0_3825,refute_0_3826]) ).
cnf(refute_0_3828,plain,
complement(converse(composition(top,complement(converse(X_99))))) = join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),join(complement(join(X_99,converse(composition(top,complement(converse(X_99)))))),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) )],[refute_0_3800,refute_0_3827]) ).
cnf(refute_0_3829,plain,
join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))))]]) ).
cnf(refute_0_3830,plain,
meet(complement(converse(composition(top,complement(converse(X_99))))),X_99) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(X_99)),bind(X_15,$fot(complement(converse(composition(top,complement(converse(X_99)))))))]]) ).
cnf(refute_0_3831,plain,
join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)))]]) ).
cnf(refute_0_3832,plain,
( join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| meet(complement(converse(composition(top,complement(converse(X_99))))),X_99) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) ),[1,1],$fot(meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))]]) ).
cnf(refute_0_3833,plain,
( meet(complement(converse(composition(top,complement(converse(X_99))))),X_99) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) )],[refute_0_3831,refute_0_3832]) ).
cnf(refute_0_3834,plain,
join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,complement(converse(X_99))))),X_99),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) )],[refute_0_3830,refute_0_3833]) ).
cnf(refute_0_3835,plain,
join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)))]]) ).
cnf(refute_0_3836,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3837,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) )],[refute_0_3835,refute_0_3836]) ).
cnf(refute_0_3838,plain,
join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_3837]) ).
cnf(refute_0_3839,plain,
( join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)))),bind(Y,$fot(join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)))),bind(Z,$fot(join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))))]]) ).
cnf(refute_0_3840,plain,
( join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) )],[refute_0_3838,refute_0_3839]) ).
cnf(refute_0_3841,plain,
join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))) )],[refute_0_3834,refute_0_3840]) ).
cnf(refute_0_3842,plain,
( join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))
| join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)))),bind(Y,$fot(join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))))),bind(Z,$fot(meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))))]]) ).
cnf(refute_0_3843,plain,
( join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))) )],[refute_0_3841,refute_0_3842]) ).
cnf(refute_0_3844,plain,
join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) )],[refute_0_3829,refute_0_3843]) ).
cnf(refute_0_3845,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| complement(converse(composition(top,complement(converse(X_99))))) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(top,complement(converse(X_99))))),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),[0],$fot(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)))]]) ).
cnf(refute_0_3846,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))
| complement(converse(composition(top,complement(converse(X_99))))) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99)),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) )],[refute_0_3844,refute_0_3845]) ).
cnf(refute_0_3847,plain,
complement(converse(composition(top,complement(converse(X_99))))) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),join(complement(top),meet(complement(converse(composition(top,complement(converse(X_99))))),X_99))) )],[refute_0_3828,refute_0_3846]) ).
cnf(refute_0_3848,plain,
join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))))) = complement(complement(composition(complement(X_652),top))),
inference(subst,[],[refute_0_39:[bind(X0,$fot(complement(converse(X_652)))),bind(X1,$fot(complement(composition(complement(X_652),top))))]]) ).
cnf(refute_0_3849,plain,
composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = join(composition(converse(X_36),complement(composition(X_36,top))),composition(X_235,complement(composition(X_36,top)))),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(converse(X_36))),bind(X1,$fot(X_235)),bind(X2,$fot(complement(composition(X_36,top))))]]) ).
cnf(refute_0_3850,plain,
( composition(converse(X_36),complement(composition(X_36,top))) != zero
| composition(join(converse(X_36),X_235),complement(composition(X_36,top))) != join(composition(converse(X_36),complement(composition(X_36,top))),composition(X_235,complement(composition(X_36,top))))
| composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = join(zero,composition(X_235,complement(composition(X_36,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_36),X_235),complement(composition(X_36,top))),join(composition(converse(X_36),complement(composition(X_36,top))),composition(X_235,complement(composition(X_36,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3851,plain,
( composition(join(converse(X_36),X_235),complement(composition(X_36,top))) != join(composition(converse(X_36),complement(composition(X_36,top))),composition(X_235,complement(composition(X_36,top))))
| composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = join(zero,composition(X_235,complement(composition(X_36,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_36),complement(composition(X_36,top))),zero) )],[refute_0_3304,refute_0_3850]) ).
cnf(refute_0_3852,plain,
composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = join(zero,composition(X_235,complement(composition(X_36,top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_36),X_235),complement(composition(X_36,top))),join(composition(converse(X_36),complement(composition(X_36,top))),composition(X_235,complement(composition(X_36,top))))) )],[refute_0_3849,refute_0_3851]) ).
cnf(refute_0_3853,plain,
join(zero,composition(X_235,complement(composition(X_36,top)))) = composition(X_235,complement(composition(X_36,top))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(X_235,complement(composition(X_36,top)))))]]) ).
cnf(refute_0_3854,plain,
( composition(join(converse(X_36),X_235),complement(composition(X_36,top))) != join(zero,composition(X_235,complement(composition(X_36,top))))
| join(zero,composition(X_235,complement(composition(X_36,top)))) != composition(X_235,complement(composition(X_36,top)))
| composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = composition(X_235,complement(composition(X_36,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(X_36),X_235),complement(composition(X_36,top))),composition(X_235,complement(composition(X_36,top)))) ),[0],$fot(join(zero,composition(X_235,complement(composition(X_36,top)))))]]) ).
cnf(refute_0_3855,plain,
( composition(join(converse(X_36),X_235),complement(composition(X_36,top))) != join(zero,composition(X_235,complement(composition(X_36,top))))
| composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = composition(X_235,complement(composition(X_36,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_235,complement(composition(X_36,top)))),composition(X_235,complement(composition(X_36,top)))) )],[refute_0_3853,refute_0_3854]) ).
cnf(refute_0_3856,plain,
composition(join(converse(X_36),X_235),complement(composition(X_36,top))) = composition(X_235,complement(composition(X_36,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_36),X_235),complement(composition(X_36,top))),join(zero,composition(X_235,complement(composition(X_36,top))))) )],[refute_0_3852,refute_0_3855]) ).
cnf(refute_0_3857,plain,
composition(join(converse(X_486),meet(X_83,converse(X_486))),complement(composition(X_486,top))) = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))),
inference(subst,[],[refute_0_3856:[bind(X_235,$fot(meet(X_83,converse(X_486)))),bind(X_36,$fot(X_486))]]) ).
cnf(refute_0_3858,plain,
converse(X_486) = join(converse(X_486),meet(X_83,converse(X_486))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(converse(X_486)))]]) ).
cnf(refute_0_3859,plain,
( converse(X_486) != join(converse(X_486),meet(X_83,converse(X_486)))
| join(converse(X_486),meet(X_83,converse(X_486))) = converse(X_486) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(X_486))),bind(Y,$fot(join(converse(X_486),meet(X_83,converse(X_486)))))]]) ).
cnf(refute_0_3860,plain,
join(converse(X_486),meet(X_83,converse(X_486))) = converse(X_486),
inference(resolve,[$cnf( $equal(converse(X_486),join(converse(X_486),meet(X_83,converse(X_486)))) )],[refute_0_3858,refute_0_3859]) ).
cnf(refute_0_3861,plain,
( composition(join(converse(X_486),meet(X_83,converse(X_486))),complement(composition(X_486,top))) != composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))
| join(converse(X_486),meet(X_83,converse(X_486))) != converse(X_486)
| composition(converse(X_486),complement(composition(X_486,top))) = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_486),meet(X_83,converse(X_486))),complement(composition(X_486,top))),composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))) ),[0,0],$fot(converse(X_486))]]) ).
cnf(refute_0_3862,plain,
( composition(join(converse(X_486),meet(X_83,converse(X_486))),complement(composition(X_486,top))) != composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))
| composition(converse(X_486),complement(composition(X_486,top))) = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))) ),
inference(resolve,[$cnf( $equal(join(converse(X_486),meet(X_83,converse(X_486))),converse(X_486)) )],[refute_0_3860,refute_0_3861]) ).
cnf(refute_0_3863,plain,
composition(converse(X_486),complement(composition(X_486,top))) = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_486),meet(X_83,converse(X_486))),complement(composition(X_486,top))),composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))) )],[refute_0_3857,refute_0_3862]) ).
cnf(refute_0_3864,plain,
composition(converse(X_486),complement(composition(X_486,top))) = zero,
inference(subst,[],[refute_0_3304:[bind(X_36,$fot(X_486))]]) ).
cnf(refute_0_3865,plain,
( composition(converse(X_486),complement(composition(X_486,top))) != composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))
| composition(converse(X_486),complement(composition(X_486,top))) != zero
| zero = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_486),complement(composition(X_486,top))),composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_3866,plain,
( composition(converse(X_486),complement(composition(X_486,top))) != composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))
| zero = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_486),complement(composition(X_486,top))),zero) )],[refute_0_3864,refute_0_3865]) ).
cnf(refute_0_3867,plain,
zero = composition(meet(X_83,converse(X_486)),complement(composition(X_486,top))),
inference(resolve,[$cnf( $equal(composition(converse(X_486),complement(composition(X_486,top))),composition(meet(X_83,converse(X_486)),complement(composition(X_486,top)))) )],[refute_0_3863,refute_0_3866]) ).
cnf(refute_0_3868,plain,
zero = composition(meet(complement(converse(X0)),converse(complement(X0))),complement(composition(complement(X0),top))),
inference(subst,[],[refute_0_3867:[bind(X_486,$fot(complement(X0))),bind(X_83,$fot(complement(converse(X0))))]]) ).
cnf(refute_0_3869,plain,
( meet(complement(converse(X0)),converse(complement(X0))) != complement(converse(X0))
| zero != composition(meet(complement(converse(X0)),converse(complement(X0))),complement(composition(complement(X0),top)))
| zero = composition(complement(converse(X0)),complement(composition(complement(X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(meet(complement(converse(X0)),converse(complement(X0))),complement(composition(complement(X0),top)))) ),[1,0],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_3870,plain,
( zero != composition(meet(complement(converse(X0)),converse(complement(X0))),complement(composition(complement(X0),top)))
| zero = composition(complement(converse(X0)),complement(composition(complement(X0),top))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X0)),converse(complement(X0))),complement(converse(X0))) )],[refute_0_2577,refute_0_3869]) ).
cnf(refute_0_3871,plain,
zero = composition(complement(converse(X0)),complement(composition(complement(X0),top))),
inference(resolve,[$cnf( $equal(zero,composition(meet(complement(converse(X0)),converse(complement(X0))),complement(composition(complement(X0),top)))) )],[refute_0_3868,refute_0_3870]) ).
cnf(refute_0_3872,plain,
zero = composition(complement(converse(X_652)),complement(composition(complement(X_652),top))),
inference(subst,[],[refute_0_3871:[bind(X0,$fot(X_652))]]) ).
cnf(refute_0_3873,plain,
( zero != composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))
| composition(complement(converse(X_652)),complement(composition(complement(X_652),top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))))]]) ).
cnf(refute_0_3874,plain,
composition(complement(converse(X_652)),complement(composition(complement(X_652),top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))) )],[refute_0_3872,refute_0_3873]) ).
cnf(refute_0_3875,plain,
( composition(complement(converse(X_652)),complement(composition(complement(X_652),top))) != zero
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))))) != complement(complement(composition(complement(X_652),top)))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = complement(complement(composition(complement(X_652),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))))),complement(complement(composition(complement(X_652),top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3876,plain,
( join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))))) != complement(complement(composition(complement(X_652),top)))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = complement(complement(composition(complement(X_652),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(X_652)),complement(composition(complement(X_652),top))),zero) )],[refute_0_3874,refute_0_3875]) ).
cnf(refute_0_3877,plain,
join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = complement(complement(composition(complement(X_652),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(composition(complement(converse(X_652)),complement(composition(complement(X_652),top)))))),complement(complement(composition(complement(X_652),top)))) )],[refute_0_3848,refute_0_3876]) ).
cnf(refute_0_3878,plain,
composition(converse(complement(converse(X_652))),top) = converse(composition(top,complement(converse(X_652)))),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(complement(converse(X_652))))]]) ).
cnf(refute_0_3879,plain,
converse(complement(converse(complement(complement(X_286))))) = join(converse(complement(converse(complement(complement(X_286))))),meet(complement(X_286),converse(complement(converse(complement(complement(X_286))))))),
inference(subst,[],[refute_0_2275:[bind(X_96,$fot(X_286)),bind(X_97,$fot(converse(complement(converse(complement(complement(X_286)))))))]]) ).
cnf(refute_0_3880,plain,
complement(X_286) = meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),
inference(subst,[],[refute_0_581:[bind(X_83,$fot(complement(X_286)))]]) ).
cnf(refute_0_3881,plain,
( complement(X_286) != meet(complement(X_286),converse(complement(converse(complement(complement(X_286))))))
| meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) = complement(X_286) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_286))),bind(Y,$fot(meet(complement(X_286),converse(complement(converse(complement(complement(X_286))))))))]]) ).
cnf(refute_0_3882,plain,
meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) = complement(X_286),
inference(resolve,[$cnf( $equal(complement(X_286),meet(complement(X_286),converse(complement(converse(complement(complement(X_286))))))) )],[refute_0_3880,refute_0_3881]) ).
cnf(refute_0_3883,plain,
( converse(complement(converse(complement(complement(X_286))))) != join(converse(complement(converse(complement(complement(X_286))))),meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))))
| meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) != complement(X_286)
| converse(complement(converse(complement(complement(X_286))))) = join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),join(converse(complement(converse(complement(complement(X_286))))),meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))))) ),[1,1],$fot(complement(X_286))]]) ).
cnf(refute_0_3884,plain,
( converse(complement(converse(complement(complement(X_286))))) != join(converse(complement(converse(complement(complement(X_286))))),meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))))
| converse(complement(converse(complement(complement(X_286))))) = join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),complement(X_286)) )],[refute_0_3882,refute_0_3883]) ).
cnf(refute_0_3885,plain,
converse(complement(converse(complement(complement(X_286))))) = join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),join(converse(complement(converse(complement(complement(X_286))))),meet(complement(X_286),converse(complement(converse(complement(complement(X_286)))))))) )],[refute_0_3879,refute_0_3884]) ).
cnf(refute_0_3886,plain,
complement(complement(X_286)) = X_286,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_286))]]) ).
cnf(refute_0_3887,plain,
converse(complement(complement(X_286))) = converse(complement(complement(X_286))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_286))))]]) ).
cnf(refute_0_3888,plain,
( complement(complement(X_286)) != X_286
| converse(complement(complement(X_286))) != converse(complement(complement(X_286)))
| converse(complement(complement(X_286))) = converse(X_286) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_286))),converse(complement(complement(X_286)))) ),[1,0],$fot(X_286)]]) ).
cnf(refute_0_3889,plain,
( complement(complement(X_286)) != X_286
| converse(complement(complement(X_286))) = converse(X_286) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_286))),converse(complement(complement(X_286)))) )],[refute_0_3887,refute_0_3888]) ).
cnf(refute_0_3890,plain,
converse(complement(complement(X_286))) = converse(X_286),
inference(resolve,[$cnf( $equal(complement(complement(X_286)),X_286) )],[refute_0_3886,refute_0_3889]) ).
cnf(refute_0_3891,plain,
complement(converse(complement(complement(X_286)))) = complement(converse(complement(complement(X_286)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_286)))))]]) ).
cnf(refute_0_3892,plain,
( complement(converse(complement(complement(X_286)))) != complement(converse(complement(complement(X_286))))
| converse(complement(complement(X_286))) != converse(X_286)
| complement(converse(complement(complement(X_286)))) = complement(converse(X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_286)))),complement(converse(complement(complement(X_286))))) ),[1,0],$fot(converse(X_286))]]) ).
cnf(refute_0_3893,plain,
( converse(complement(complement(X_286))) != converse(X_286)
| complement(converse(complement(complement(X_286)))) = complement(converse(X_286)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_286)))),complement(converse(complement(complement(X_286))))) )],[refute_0_3891,refute_0_3892]) ).
cnf(refute_0_3894,plain,
complement(converse(complement(complement(X_286)))) = complement(converse(X_286)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_286))),converse(X_286)) )],[refute_0_3890,refute_0_3893]) ).
cnf(refute_0_3895,plain,
converse(complement(converse(complement(complement(X_286))))) = converse(complement(converse(complement(complement(X_286))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_286))))))]]) ).
cnf(refute_0_3896,plain,
( complement(converse(complement(complement(X_286)))) != complement(converse(X_286))
| converse(complement(converse(complement(complement(X_286))))) != converse(complement(converse(complement(complement(X_286)))))
| converse(complement(converse(complement(complement(X_286))))) = converse(complement(converse(X_286))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),converse(complement(converse(complement(complement(X_286)))))) ),[1,0],$fot(complement(converse(X_286)))]]) ).
cnf(refute_0_3897,plain,
( complement(converse(complement(complement(X_286)))) != complement(converse(X_286))
| converse(complement(converse(complement(complement(X_286))))) = converse(complement(converse(X_286))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),converse(complement(converse(complement(complement(X_286)))))) )],[refute_0_3895,refute_0_3896]) ).
cnf(refute_0_3898,plain,
converse(complement(converse(complement(complement(X_286))))) = converse(complement(converse(X_286))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_286)))),complement(converse(X_286))) )],[refute_0_3894,refute_0_3897]) ).
cnf(refute_0_3899,plain,
( converse(complement(converse(complement(complement(X_286))))) != converse(complement(converse(X_286)))
| converse(complement(converse(complement(complement(X_286))))) != join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))
| converse(complement(converse(X_286))) = join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))) ),[0],$fot(converse(complement(converse(X_286))))]]) ).
cnf(refute_0_3900,plain,
( converse(complement(converse(complement(complement(X_286))))) != join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))
| converse(complement(converse(X_286))) = join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),converse(complement(converse(X_286)))) )],[refute_0_3898,refute_0_3899]) ).
cnf(refute_0_3901,plain,
join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) = join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),
introduced(tautology,[refl,[$fot(join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))))]]) ).
cnf(refute_0_3902,plain,
( converse(complement(converse(complement(complement(X_286))))) != converse(complement(converse(X_286)))
| join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) != join(complement(X_286),converse(complement(converse(complement(complement(X_286))))))
| join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) = join(complement(X_286),converse(complement(converse(X_286)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),join(complement(X_286),converse(complement(converse(complement(complement(X_286))))))) ),[1,1],$fot(converse(complement(converse(X_286))))]]) ).
cnf(refute_0_3903,plain,
( converse(complement(converse(complement(complement(X_286))))) != converse(complement(converse(X_286)))
| join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) = join(complement(X_286),converse(complement(converse(X_286)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),join(complement(X_286),converse(complement(converse(complement(complement(X_286))))))) )],[refute_0_3901,refute_0_3902]) ).
cnf(refute_0_3904,plain,
join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) = join(complement(X_286),converse(complement(converse(X_286)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),converse(complement(converse(X_286)))) )],[refute_0_3898,refute_0_3903]) ).
cnf(refute_0_3905,plain,
join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) = join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(X_286))),bind(X_124,$fot(converse(complement(converse(complement(complement(X_286)))))))]]) ).
cnf(refute_0_3906,plain,
( join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) != join(complement(X_286),converse(complement(converse(X_286))))
| join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) != join(complement(X_286),converse(complement(converse(complement(complement(X_286))))))
| join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) = join(complement(X_286),converse(complement(converse(X_286)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)))),bind(Y,$fot(join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))))),bind(Z,$fot(join(complement(X_286),converse(complement(converse(X_286))))))]]) ).
cnf(refute_0_3907,plain,
( join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))) != join(complement(X_286),converse(complement(converse(X_286))))
| join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) = join(complement(X_286),converse(complement(converse(X_286)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)),join(complement(X_286),converse(complement(converse(complement(complement(X_286))))))) )],[refute_0_3905,refute_0_3906]) ).
cnf(refute_0_3908,plain,
join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) = join(complement(X_286),converse(complement(converse(X_286)))),
inference(resolve,[$cnf( $equal(join(complement(X_286),converse(complement(converse(complement(complement(X_286)))))),join(complement(X_286),converse(complement(converse(X_286))))) )],[refute_0_3904,refute_0_3907]) ).
cnf(refute_0_3909,plain,
( converse(complement(converse(X_286))) != join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))
| join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)) != join(complement(X_286),converse(complement(converse(X_286))))
| converse(complement(converse(X_286))) = join(complement(X_286),converse(complement(converse(X_286)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_286))),join(complement(X_286),converse(complement(converse(X_286))))) ),[0],$fot(join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)))]]) ).
cnf(refute_0_3910,plain,
( converse(complement(converse(X_286))) != join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))
| converse(complement(converse(X_286))) = join(complement(X_286),converse(complement(converse(X_286)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(complement(X_286))))),complement(X_286)),join(complement(X_286),converse(complement(converse(X_286))))) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
( converse(complement(converse(complement(complement(X_286))))) != join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))
| converse(complement(converse(X_286))) = join(complement(X_286),converse(complement(converse(X_286)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_286))),join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))) )],[refute_0_3900,refute_0_3910]) ).
cnf(refute_0_3912,plain,
converse(complement(converse(X_286))) = join(complement(X_286),converse(complement(converse(X_286)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_286))))),join(converse(complement(converse(complement(complement(X_286))))),complement(X_286))) )],[refute_0_3885,refute_0_3911]) ).
cnf(refute_0_3913,plain,
( converse(complement(converse(X_286))) != join(complement(X_286),converse(complement(converse(X_286))))
| join(complement(X_286),converse(complement(converse(X_286)))) = converse(complement(converse(X_286))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(converse(X_286))))),bind(Y,$fot(join(complement(X_286),converse(complement(converse(X_286))))))]]) ).
cnf(refute_0_3914,plain,
join(complement(X_286),converse(complement(converse(X_286)))) = converse(complement(converse(X_286))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_286))),join(complement(X_286),converse(complement(converse(X_286))))) )],[refute_0_3912,refute_0_3913]) ).
cnf(refute_0_3915,plain,
join(complement(X_652),converse(complement(converse(X_652)))) = converse(complement(converse(X_652))),
inference(subst,[],[refute_0_3914:[bind(X_286,$fot(X_652))]]) ).
cnf(refute_0_3916,plain,
composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = composition(join(complement(X_652),converse(complement(converse(X_652)))),top),
introduced(tautology,[refl,[$fot(composition(join(complement(X_652),converse(complement(converse(X_652)))),top))]]) ).
cnf(refute_0_3917,plain,
( composition(join(complement(X_652),converse(complement(converse(X_652)))),top) != composition(join(complement(X_652),converse(complement(converse(X_652)))),top)
| join(complement(X_652),converse(complement(converse(X_652)))) != converse(complement(converse(X_652)))
| composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = composition(converse(complement(converse(X_652))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(X_652),converse(complement(converse(X_652)))),top),composition(join(complement(X_652),converse(complement(converse(X_652)))),top)) ),[1,0],$fot(converse(complement(converse(X_652))))]]) ).
cnf(refute_0_3918,plain,
( join(complement(X_652),converse(complement(converse(X_652)))) != converse(complement(converse(X_652)))
| composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = composition(converse(complement(converse(X_652))),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(X_652),converse(complement(converse(X_652)))),top),composition(join(complement(X_652),converse(complement(converse(X_652)))),top)) )],[refute_0_3916,refute_0_3917]) ).
cnf(refute_0_3919,plain,
composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = composition(converse(complement(converse(X_652))),top),
inference(resolve,[$cnf( $equal(join(complement(X_652),converse(complement(converse(X_652)))),converse(complement(converse(X_652)))) )],[refute_0_3915,refute_0_3918]) ).
cnf(refute_0_3920,plain,
( composition(converse(complement(converse(X_652))),top) != converse(composition(top,complement(converse(X_652))))
| composition(join(complement(X_652),converse(complement(converse(X_652)))),top) != composition(converse(complement(converse(X_652))),top)
| composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = converse(composition(top,complement(converse(X_652)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(complement(X_652),converse(complement(converse(X_652)))),top))),bind(Y,$fot(composition(converse(complement(converse(X_652))),top))),bind(Z,$fot(converse(composition(top,complement(converse(X_652))))))]]) ).
cnf(refute_0_3921,plain,
( composition(converse(complement(converse(X_652))),top) != converse(composition(top,complement(converse(X_652))))
| composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = converse(composition(top,complement(converse(X_652)))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(X_652),converse(complement(converse(X_652)))),top),composition(converse(complement(converse(X_652))),top)) )],[refute_0_3919,refute_0_3920]) ).
cnf(refute_0_3922,plain,
composition(join(complement(X_652),converse(complement(converse(X_652)))),top) = converse(composition(top,complement(converse(X_652)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(X_652))),top),converse(composition(top,complement(converse(X_652))))) )],[refute_0_3878,refute_0_3921]) ).
cnf(refute_0_3923,plain,
composition(join(X_234,converse(X_7)),top) = join(composition(X_234,top),composition(converse(X_7),top)),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(X_234)),bind(X1,$fot(converse(X_7))),bind(X2,$fot(top))]]) ).
cnf(refute_0_3924,plain,
( composition(converse(X_7),top) != converse(composition(top,X_7))
| composition(join(X_234,converse(X_7)),top) != join(composition(X_234,top),composition(converse(X_7),top))
| composition(join(X_234,converse(X_7)),top) = join(composition(X_234,top),converse(composition(top,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,converse(X_7)),top),join(composition(X_234,top),composition(converse(X_7),top))) ),[1,1],$fot(converse(composition(top,X_7)))]]) ).
cnf(refute_0_3925,plain,
( composition(join(X_234,converse(X_7)),top) != join(composition(X_234,top),composition(converse(X_7),top))
| composition(join(X_234,converse(X_7)),top) = join(composition(X_234,top),converse(composition(top,X_7))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_7),top),converse(composition(top,X_7))) )],[refute_0_3629,refute_0_3924]) ).
cnf(refute_0_3926,plain,
composition(join(X_234,converse(X_7)),top) = join(composition(X_234,top),converse(composition(top,X_7))),
inference(resolve,[$cnf( $equal(composition(join(X_234,converse(X_7)),top),join(composition(X_234,top),composition(converse(X_7),top))) )],[refute_0_3923,refute_0_3925]) ).
cnf(refute_0_3927,plain,
( composition(join(X_234,converse(X_7)),top) != join(composition(X_234,top),converse(composition(top,X_7)))
| join(composition(X_234,top),converse(composition(top,X_7))) = composition(join(X_234,converse(X_7)),top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_234,converse(X_7)),top))),bind(Y,$fot(join(composition(X_234,top),converse(composition(top,X_7)))))]]) ).
cnf(refute_0_3928,plain,
join(composition(X_234,top),converse(composition(top,X_7))) = composition(join(X_234,converse(X_7)),top),
inference(resolve,[$cnf( $equal(composition(join(X_234,converse(X_7)),top),join(composition(X_234,top),converse(composition(top,X_7)))) )],[refute_0_3926,refute_0_3927]) ).
cnf(refute_0_3929,plain,
join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) = composition(join(complement(X_652),converse(complement(converse(X_652)))),top),
inference(subst,[],[refute_0_3928:[bind(X_234,$fot(complement(X_652))),bind(X_7,$fot(complement(converse(X_652))))]]) ).
cnf(refute_0_3930,plain,
( composition(join(complement(X_652),converse(complement(converse(X_652)))),top) != converse(composition(top,complement(converse(X_652))))
| join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) != composition(join(complement(X_652),converse(complement(converse(X_652)))),top)
| join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) = converse(composition(top,complement(converse(X_652)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))))),bind(Y,$fot(composition(join(complement(X_652),converse(complement(converse(X_652)))),top))),bind(Z,$fot(converse(composition(top,complement(converse(X_652))))))]]) ).
cnf(refute_0_3931,plain,
( composition(join(complement(X_652),converse(complement(converse(X_652)))),top) != converse(composition(top,complement(converse(X_652))))
| join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) = converse(composition(top,complement(converse(X_652)))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))),composition(join(complement(X_652),converse(complement(converse(X_652)))),top)) )],[refute_0_3929,refute_0_3930]) ).
cnf(refute_0_3932,plain,
join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) = converse(composition(top,complement(converse(X_652)))),
inference(resolve,[$cnf( $equal(composition(join(complement(X_652),converse(complement(converse(X_652)))),top),converse(composition(top,complement(converse(X_652))))) )],[refute_0_3922,refute_0_3931]) ).
cnf(refute_0_3933,plain,
composition(converse(complement(converse(X_652))),complement(zero)) = composition(converse(complement(converse(X_652))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(X_652))),complement(zero)))]]) ).
cnf(refute_0_3934,plain,
( complement(zero) != top
| composition(converse(complement(converse(X_652))),complement(zero)) != composition(converse(complement(converse(X_652))),complement(zero))
| composition(converse(complement(converse(X_652))),complement(zero)) = composition(converse(complement(converse(X_652))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(X_652))),complement(zero)),composition(converse(complement(converse(X_652))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3935,plain,
( complement(zero) != top
| composition(converse(complement(converse(X_652))),complement(zero)) = composition(converse(complement(converse(X_652))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(X_652))),complement(zero)),composition(converse(complement(converse(X_652))),complement(zero))) )],[refute_0_3933,refute_0_3934]) ).
cnf(refute_0_3936,plain,
composition(converse(complement(converse(X_652))),complement(zero)) = composition(converse(complement(converse(X_652))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_3935]) ).
cnf(refute_0_3937,plain,
( composition(converse(complement(converse(X_652))),complement(zero)) != composition(converse(complement(converse(X_652))),top)
| composition(converse(complement(converse(X_652))),top) != converse(composition(top,complement(converse(X_652))))
| composition(converse(complement(converse(X_652))),complement(zero)) = converse(composition(top,complement(converse(X_652)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(converse(X_652))),complement(zero)))),bind(Y,$fot(composition(converse(complement(converse(X_652))),top))),bind(Z,$fot(converse(composition(top,complement(converse(X_652))))))]]) ).
cnf(refute_0_3938,plain,
( composition(converse(complement(converse(X_652))),top) != converse(composition(top,complement(converse(X_652))))
| composition(converse(complement(converse(X_652))),complement(zero)) = converse(composition(top,complement(converse(X_652)))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(X_652))),complement(zero)),composition(converse(complement(converse(X_652))),top)) )],[refute_0_3936,refute_0_3937]) ).
cnf(refute_0_3939,plain,
composition(converse(complement(converse(X_652))),complement(zero)) = converse(composition(top,complement(converse(X_652)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(X_652))),top),converse(composition(top,complement(converse(X_652))))) )],[refute_0_3878,refute_0_3938]) ).
cnf(refute_0_3940,plain,
join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))),
introduced(tautology,[refl,[$fot(join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))))]]) ).
cnf(refute_0_3941,plain,
( composition(converse(complement(converse(X_652))),complement(zero)) != converse(composition(top,complement(converse(X_652))))
| join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) != join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero)))
| join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))),join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero)))) ),[1,1],$fot(converse(composition(top,complement(converse(X_652)))))]]) ).
cnf(refute_0_3942,plain,
( composition(converse(complement(converse(X_652))),complement(zero)) != converse(composition(top,complement(converse(X_652))))
| join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))),join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero)))) )],[refute_0_3940,refute_0_3941]) ).
cnf(refute_0_3943,plain,
join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(X_652))),complement(zero)),converse(composition(top,complement(converse(X_652))))) )],[refute_0_3939,refute_0_3942]) ).
cnf(refute_0_3944,plain,
complement(complement(composition(complement(X_652),top))) = composition(complement(X_652),top),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(composition(complement(X_652),top)))]]) ).
cnf(refute_0_3945,plain,
join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))))]]) ).
cnf(refute_0_3946,plain,
( complement(complement(composition(complement(X_652),top))) != composition(complement(X_652),top)
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero)))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero)))) ),[1,0],$fot(composition(complement(X_652),top))]]) ).
cnf(refute_0_3947,plain,
( complement(complement(composition(complement(X_652),top))) != composition(complement(X_652),top)
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero)))) )],[refute_0_3945,refute_0_3946]) ).
cnf(refute_0_3948,plain,
join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(X_652),top))),composition(complement(X_652),top)) )],[refute_0_3944,refute_0_3947]) ).
cnf(refute_0_3949,plain,
( join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero)))
| join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) != join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652)))))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))))),bind(Y,$fot(join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))))),bind(Z,$fot(join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652)))))))]]) ).
cnf(refute_0_3950,plain,
( join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))) != join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652)))))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero)))) )],[refute_0_3948,refute_0_3949]) ).
cnf(refute_0_3951,plain,
join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))),
inference(resolve,[$cnf( $equal(join(composition(complement(X_652),top),composition(converse(complement(converse(X_652))),complement(zero))),join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652)))))) )],[refute_0_3943,refute_0_3950]) ).
cnf(refute_0_3952,plain,
( join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652)))))
| join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) != converse(composition(top,complement(converse(X_652))))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = converse(composition(top,complement(converse(X_652)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))))),bind(Y,$fot(join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))))),bind(Z,$fot(converse(composition(top,complement(converse(X_652))))))]]) ).
cnf(refute_0_3953,plain,
( join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))) != converse(composition(top,complement(converse(X_652))))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = converse(composition(top,complement(converse(X_652)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652)))))) )],[refute_0_3951,refute_0_3952]) ).
cnf(refute_0_3954,plain,
join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) = converse(composition(top,complement(converse(X_652)))),
inference(resolve,[$cnf( $equal(join(composition(complement(X_652),top),converse(composition(top,complement(converse(X_652))))),converse(composition(top,complement(converse(X_652))))) )],[refute_0_3932,refute_0_3953]) ).
cnf(refute_0_3955,plain,
( join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != complement(complement(composition(complement(X_652),top)))
| join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != converse(composition(top,complement(converse(X_652))))
| converse(composition(top,complement(converse(X_652)))) = complement(complement(composition(complement(X_652),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),complement(complement(composition(complement(X_652),top)))) ),[0],$fot(converse(composition(top,complement(converse(X_652)))))]]) ).
cnf(refute_0_3956,plain,
( join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != complement(complement(composition(complement(X_652),top)))
| converse(composition(top,complement(converse(X_652)))) = complement(complement(composition(complement(X_652),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),converse(composition(top,complement(converse(X_652))))) )],[refute_0_3954,refute_0_3955]) ).
cnf(refute_0_3957,plain,
( complement(complement(composition(complement(X_652),top))) != composition(complement(X_652),top)
| converse(composition(top,complement(converse(X_652)))) != complement(complement(composition(complement(X_652),top)))
| converse(composition(top,complement(converse(X_652)))) = composition(complement(X_652),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(X_652)))),complement(complement(composition(complement(X_652),top)))) ),[1],$fot(composition(complement(X_652),top))]]) ).
cnf(refute_0_3958,plain,
( converse(composition(top,complement(converse(X_652)))) != complement(complement(composition(complement(X_652),top)))
| converse(composition(top,complement(converse(X_652)))) = composition(complement(X_652),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(X_652),top))),composition(complement(X_652),top)) )],[refute_0_3944,refute_0_3957]) ).
cnf(refute_0_3959,plain,
( join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))) != complement(complement(composition(complement(X_652),top)))
| converse(composition(top,complement(converse(X_652)))) = composition(complement(X_652),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(X_652)))),complement(complement(composition(complement(X_652),top)))) )],[refute_0_3956,refute_0_3958]) ).
cnf(refute_0_3960,plain,
converse(composition(top,complement(converse(X_652)))) = composition(complement(X_652),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(X_652),top))),composition(converse(complement(converse(X_652))),complement(zero))),complement(complement(composition(complement(X_652),top)))) )],[refute_0_3877,refute_0_3959]) ).
cnf(refute_0_3961,plain,
converse(composition(top,complement(converse(X_99)))) = composition(complement(X_99),top),
inference(subst,[],[refute_0_3960:[bind(X_652,$fot(X_99))]]) ).
cnf(refute_0_3962,plain,
complement(converse(composition(top,complement(converse(X_99))))) = complement(converse(composition(top,complement(converse(X_99))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(converse(X_99))))))]]) ).
cnf(refute_0_3963,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != complement(converse(composition(top,complement(converse(X_99)))))
| converse(composition(top,complement(converse(X_99)))) != composition(complement(X_99),top)
| complement(converse(composition(top,complement(converse(X_99))))) = complement(composition(complement(X_99),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),complement(converse(composition(top,complement(converse(X_99)))))) ),[1,0],$fot(composition(complement(X_99),top))]]) ).
cnf(refute_0_3964,plain,
( converse(composition(top,complement(converse(X_99)))) != composition(complement(X_99),top)
| complement(converse(composition(top,complement(converse(X_99))))) = complement(composition(complement(X_99),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),complement(converse(composition(top,complement(converse(X_99)))))) )],[refute_0_3962,refute_0_3963]) ).
cnf(refute_0_3965,plain,
complement(converse(composition(top,complement(converse(X_99))))) = complement(composition(complement(X_99),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(X_99)))),composition(complement(X_99),top)) )],[refute_0_3961,refute_0_3964]) ).
cnf(refute_0_3966,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != complement(composition(complement(X_99),top))
| complement(converse(composition(top,complement(converse(X_99))))) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| complement(composition(complement(X_99),top)) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),[0],$fot(complement(composition(complement(X_99),top)))]]) ).
cnf(refute_0_3967,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| complement(composition(complement(X_99),top)) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),complement(composition(complement(X_99),top))) )],[refute_0_3965,refute_0_3966]) ).
cnf(refute_0_3968,plain,
meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) = meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),
introduced(tautology,[refl,[$fot(meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))]]) ).
cnf(refute_0_3969,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != complement(composition(complement(X_99),top))
| meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) = meet(X_99,complement(composition(complement(X_99),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) ),[1,1],$fot(complement(composition(complement(X_99),top)))]]) ).
cnf(refute_0_3970,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != complement(composition(complement(X_99),top))
| meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) = meet(X_99,complement(composition(complement(X_99),top))) ),
inference(resolve,[$cnf( $equal(meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) )],[refute_0_3968,refute_0_3969]) ).
cnf(refute_0_3971,plain,
meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) = meet(X_99,complement(composition(complement(X_99),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),complement(composition(complement(X_99),top))) )],[refute_0_3965,refute_0_3970]) ).
cnf(refute_0_3972,plain,
( complement(composition(complement(X_99),top)) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))) != meet(X_99,complement(composition(complement(X_99),top)))
| complement(composition(complement(X_99),top)) = meet(X_99,complement(composition(complement(X_99),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(X_99),top)),meet(X_99,complement(composition(complement(X_99),top)))) ),[0],$fot(meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))))]]) ).
cnf(refute_0_3973,plain,
( complement(composition(complement(X_99),top)) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| complement(composition(complement(X_99),top)) = meet(X_99,complement(composition(complement(X_99),top))) ),
inference(resolve,[$cnf( $equal(meet(X_99,complement(converse(composition(top,complement(converse(X_99)))))),meet(X_99,complement(composition(complement(X_99),top)))) )],[refute_0_3971,refute_0_3972]) ).
cnf(refute_0_3974,plain,
( complement(converse(composition(top,complement(converse(X_99))))) != meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))
| complement(composition(complement(X_99),top)) = meet(X_99,complement(composition(complement(X_99),top))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_99),top)),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) )],[refute_0_3967,refute_0_3973]) ).
cnf(refute_0_3975,plain,
complement(composition(complement(X_99),top)) = meet(X_99,complement(composition(complement(X_99),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(X_99))))),meet(X_99,complement(converse(composition(top,complement(converse(X_99))))))) )],[refute_0_3847,refute_0_3974]) ).
cnf(refute_0_3976,plain,
( complement(composition(complement(X_99),top)) != meet(X_99,complement(composition(complement(X_99),top)))
| meet(X_99,complement(composition(complement(X_99),top))) = complement(composition(complement(X_99),top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(complement(X_99),top)))),bind(Y,$fot(meet(X_99,complement(composition(complement(X_99),top)))))]]) ).
cnf(refute_0_3977,plain,
meet(X_99,complement(composition(complement(X_99),top))) = complement(composition(complement(X_99),top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_99),top)),meet(X_99,complement(composition(complement(X_99),top)))) )],[refute_0_3975,refute_0_3976]) ).
cnf(refute_0_3978,plain,
meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) = complement(composition(complement(converse(complement(composition(top,X_334)))),top)),
inference(subst,[],[refute_0_3977:[bind(X_99,$fot(converse(complement(composition(top,X_334)))))]]) ).
cnf(refute_0_3979,plain,
( meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) != complement(composition(complement(converse(complement(composition(top,X_334)))),top))
| meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) != converse(complement(composition(top,X_334)))
| complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = converse(complement(composition(top,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))),converse(complement(composition(top,X_334)))) ),[0],$fot(complement(composition(complement(converse(complement(composition(top,X_334)))),top)))]]) ).
cnf(refute_0_3980,plain,
( meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) != converse(complement(composition(top,X_334)))
| complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = converse(complement(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) )],[refute_0_3978,refute_0_3979]) ).
cnf(refute_0_3981,plain,
complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = converse(complement(composition(top,X_334))),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(top,X_334))),complement(composition(complement(converse(complement(composition(top,X_334)))),top))),converse(complement(composition(top,X_334)))) )],[refute_0_3799,refute_0_3980]) ).
cnf(refute_0_3982,plain,
complement(complement(composition(top,X_334))) = composition(top,X_334),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(composition(top,X_334)))]]) ).
cnf(refute_0_3983,plain,
composition(top,complement(complement(composition(top,X_334)))) = composition(top,complement(complement(composition(top,X_334)))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(composition(top,X_334)))))]]) ).
cnf(refute_0_3984,plain,
( complement(complement(composition(top,X_334))) != composition(top,X_334)
| composition(top,complement(complement(composition(top,X_334)))) != composition(top,complement(complement(composition(top,X_334))))
| composition(top,complement(complement(composition(top,X_334)))) = composition(top,composition(top,X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(composition(top,X_334)))),composition(top,complement(complement(composition(top,X_334))))) ),[1,1],$fot(composition(top,X_334))]]) ).
cnf(refute_0_3985,plain,
( complement(complement(composition(top,X_334))) != composition(top,X_334)
| composition(top,complement(complement(composition(top,X_334)))) = composition(top,composition(top,X_334)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(top,X_334)))),composition(top,complement(complement(composition(top,X_334))))) )],[refute_0_3983,refute_0_3984]) ).
cnf(refute_0_3986,plain,
composition(top,complement(complement(composition(top,X_334)))) = composition(top,composition(top,X_334)),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,X_334))),composition(top,X_334)) )],[refute_0_3982,refute_0_3985]) ).
cnf(refute_0_3987,plain,
( composition(top,complement(complement(composition(top,X_334)))) != composition(top,composition(top,X_334))
| composition(top,composition(top,X_334)) != composition(top,X_334)
| composition(top,complement(complement(composition(top,X_334)))) = composition(top,X_334) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(top,complement(complement(composition(top,X_334)))))),bind(Y,$fot(composition(top,composition(top,X_334)))),bind(Z,$fot(composition(top,X_334)))]]) ).
cnf(refute_0_3988,plain,
( composition(top,composition(top,X_334)) != composition(top,X_334)
| composition(top,complement(complement(composition(top,X_334)))) = composition(top,X_334) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(top,X_334)))),composition(top,composition(top,X_334))) )],[refute_0_3986,refute_0_3987]) ).
cnf(refute_0_3989,plain,
composition(top,complement(complement(composition(top,X_334)))) = composition(top,X_334),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_334)),composition(top,X_334)) )],[refute_0_3680,refute_0_3988]) ).
cnf(refute_0_3990,plain,
converse(composition(top,complement(complement(composition(top,X_334))))) = converse(composition(top,complement(complement(composition(top,X_334))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(complement(composition(top,X_334))))))]]) ).
cnf(refute_0_3991,plain,
( composition(top,complement(complement(composition(top,X_334)))) != composition(top,X_334)
| converse(composition(top,complement(complement(composition(top,X_334))))) != converse(composition(top,complement(complement(composition(top,X_334)))))
| converse(composition(top,complement(complement(composition(top,X_334))))) = converse(composition(top,X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(complement(composition(top,X_334))))),converse(composition(top,complement(complement(composition(top,X_334)))))) ),[1,0],$fot(composition(top,X_334))]]) ).
cnf(refute_0_3992,plain,
( composition(top,complement(complement(composition(top,X_334)))) != composition(top,X_334)
| converse(composition(top,complement(complement(composition(top,X_334))))) = converse(composition(top,X_334)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(complement(composition(top,X_334))))),converse(composition(top,complement(complement(composition(top,X_334)))))) )],[refute_0_3990,refute_0_3991]) ).
cnf(refute_0_3993,plain,
converse(composition(top,complement(complement(composition(top,X_334))))) = converse(composition(top,X_334)),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(top,X_334)))),composition(top,X_334)) )],[refute_0_3989,refute_0_3992]) ).
cnf(refute_0_3994,plain,
join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))))) = complement(complement(composition(complement(converse(X_655)),top))),
inference(subst,[],[refute_0_39:[bind(X0,$fot(complement(X_655))),bind(X1,$fot(complement(composition(complement(converse(X_655)),top))))]]) ).
cnf(refute_0_3995,plain,
zero = composition(meet(complement(X_94),converse(complement(converse(X_94)))),complement(composition(complement(converse(X_94)),top))),
inference(subst,[],[refute_0_3867:[bind(X_486,$fot(complement(converse(X_94)))),bind(X_83,$fot(complement(X_94)))]]) ).
cnf(refute_0_3996,plain,
( complement(X_94) != meet(complement(X_94),converse(complement(converse(X_94))))
| meet(complement(X_94),converse(complement(converse(X_94)))) = complement(X_94) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_94))),bind(Y,$fot(meet(complement(X_94),converse(complement(converse(X_94))))))]]) ).
cnf(refute_0_3997,plain,
meet(complement(X_94),converse(complement(converse(X_94)))) = complement(X_94),
inference(resolve,[$cnf( $equal(complement(X_94),meet(complement(X_94),converse(complement(converse(X_94))))) )],[refute_0_588,refute_0_3996]) ).
cnf(refute_0_3998,plain,
( meet(complement(X_94),converse(complement(converse(X_94)))) != complement(X_94)
| zero != composition(meet(complement(X_94),converse(complement(converse(X_94)))),complement(composition(complement(converse(X_94)),top)))
| zero = composition(complement(X_94),complement(composition(complement(converse(X_94)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(meet(complement(X_94),converse(complement(converse(X_94)))),complement(composition(complement(converse(X_94)),top)))) ),[1,0],$fot(complement(X_94))]]) ).
cnf(refute_0_3999,plain,
( zero != composition(meet(complement(X_94),converse(complement(converse(X_94)))),complement(composition(complement(converse(X_94)),top)))
| zero = composition(complement(X_94),complement(composition(complement(converse(X_94)),top))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_94),converse(complement(converse(X_94)))),complement(X_94)) )],[refute_0_3997,refute_0_3998]) ).
cnf(refute_0_4000,plain,
zero = composition(complement(X_94),complement(composition(complement(converse(X_94)),top))),
inference(resolve,[$cnf( $equal(zero,composition(meet(complement(X_94),converse(complement(converse(X_94)))),complement(composition(complement(converse(X_94)),top)))) )],[refute_0_3995,refute_0_3999]) ).
cnf(refute_0_4001,plain,
zero = composition(complement(X_655),complement(composition(complement(converse(X_655)),top))),
inference(subst,[],[refute_0_4000:[bind(X_94,$fot(X_655))]]) ).
cnf(refute_0_4002,plain,
( zero != composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))
| composition(complement(X_655),complement(composition(complement(converse(X_655)),top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))))]]) ).
cnf(refute_0_4003,plain,
composition(complement(X_655),complement(composition(complement(converse(X_655)),top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))) )],[refute_0_4001,refute_0_4002]) ).
cnf(refute_0_4004,plain,
( composition(complement(X_655),complement(composition(complement(converse(X_655)),top))) != zero
| join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))))) != complement(complement(composition(complement(converse(X_655)),top)))
| join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = complement(complement(composition(complement(converse(X_655)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))))),complement(complement(composition(complement(converse(X_655)),top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_4005,plain,
( join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))))) != complement(complement(composition(complement(converse(X_655)),top)))
| join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = complement(complement(composition(complement(converse(X_655)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(X_655),complement(composition(complement(converse(X_655)),top))),zero) )],[refute_0_4003,refute_0_4004]) ).
cnf(refute_0_4006,plain,
join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = complement(complement(composition(complement(converse(X_655)),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(composition(complement(X_655),complement(composition(complement(converse(X_655)),top)))))),complement(complement(composition(complement(converse(X_655)),top)))) )],[refute_0_3994,refute_0_4005]) ).
cnf(refute_0_4007,plain,
composition(converse(complement(X_655)),top) = converse(composition(top,complement(X_655))),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(complement(X_655)))]]) ).
cnf(refute_0_4008,plain,
converse(complement(X0)) = join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0)))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(converse(complement(X0)))),bind(X_83,$fot(complement(converse(X0))))]]) ).
cnf(refute_0_4009,plain,
( converse(complement(X0)) != join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))
| meet(complement(converse(X0)),converse(complement(X0))) != complement(converse(X0))
| converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X0)),join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))) ),[1,1],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_4010,plain,
( converse(complement(X0)) != join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))
| converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X0)),converse(complement(X0))),complement(converse(X0))) )],[refute_0_2577,refute_0_4009]) ).
cnf(refute_0_4011,plain,
converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))) )],[refute_0_4008,refute_0_4010]) ).
cnf(refute_0_4012,plain,
join(converse(complement(X0)),complement(converse(X0))) = join(complement(converse(X0)),converse(complement(X0))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(converse(X0)))),bind(X_124,$fot(converse(complement(X0))))]]) ).
cnf(refute_0_4013,plain,
( converse(complement(X0)) != join(converse(complement(X0)),complement(converse(X0)))
| join(converse(complement(X0)),complement(converse(X0))) != join(complement(converse(X0)),converse(complement(X0)))
| converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X0)),join(complement(converse(X0)),converse(complement(X0)))) ),[0],$fot(join(converse(complement(X0)),complement(converse(X0))))]]) ).
cnf(refute_0_4014,plain,
( converse(complement(X0)) != join(converse(complement(X0)),complement(converse(X0)))
| converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X0)),complement(converse(X0))),join(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_4012,refute_0_4013]) ).
cnf(refute_0_4015,plain,
converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(converse(complement(X0)),complement(converse(X0)))) )],[refute_0_4011,refute_0_4014]) ).
cnf(refute_0_4016,plain,
( converse(complement(X0)) != join(complement(converse(X0)),converse(complement(X0)))
| join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(X0)))),bind(Y,$fot(join(complement(converse(X0)),converse(complement(X0)))))]]) ).
cnf(refute_0_4017,plain,
join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_4015,refute_0_4016]) ).
cnf(refute_0_4018,plain,
join(complement(converse(X_655)),converse(complement(X_655))) = converse(complement(X_655)),
inference(subst,[],[refute_0_4017:[bind(X0,$fot(X_655))]]) ).
cnf(refute_0_4019,plain,
composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = composition(join(complement(converse(X_655)),converse(complement(X_655))),top),
introduced(tautology,[refl,[$fot(composition(join(complement(converse(X_655)),converse(complement(X_655))),top))]]) ).
cnf(refute_0_4020,plain,
( composition(join(complement(converse(X_655)),converse(complement(X_655))),top) != composition(join(complement(converse(X_655)),converse(complement(X_655))),top)
| join(complement(converse(X_655)),converse(complement(X_655))) != converse(complement(X_655))
| composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = composition(converse(complement(X_655)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(X_655)),converse(complement(X_655))),top),composition(join(complement(converse(X_655)),converse(complement(X_655))),top)) ),[1,0],$fot(converse(complement(X_655)))]]) ).
cnf(refute_0_4021,plain,
( join(complement(converse(X_655)),converse(complement(X_655))) != converse(complement(X_655))
| composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = composition(converse(complement(X_655)),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(X_655)),converse(complement(X_655))),top),composition(join(complement(converse(X_655)),converse(complement(X_655))),top)) )],[refute_0_4019,refute_0_4020]) ).
cnf(refute_0_4022,plain,
composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = composition(converse(complement(X_655)),top),
inference(resolve,[$cnf( $equal(join(complement(converse(X_655)),converse(complement(X_655))),converse(complement(X_655))) )],[refute_0_4018,refute_0_4021]) ).
cnf(refute_0_4023,plain,
( composition(converse(complement(X_655)),top) != converse(composition(top,complement(X_655)))
| composition(join(complement(converse(X_655)),converse(complement(X_655))),top) != composition(converse(complement(X_655)),top)
| composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(complement(converse(X_655)),converse(complement(X_655))),top))),bind(Y,$fot(composition(converse(complement(X_655)),top))),bind(Z,$fot(converse(composition(top,complement(X_655)))))]]) ).
cnf(refute_0_4024,plain,
( composition(converse(complement(X_655)),top) != converse(composition(top,complement(X_655)))
| composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = converse(composition(top,complement(X_655))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(X_655)),converse(complement(X_655))),top),composition(converse(complement(X_655)),top)) )],[refute_0_4022,refute_0_4023]) ).
cnf(refute_0_4025,plain,
composition(join(complement(converse(X_655)),converse(complement(X_655))),top) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(composition(converse(complement(X_655)),top),converse(composition(top,complement(X_655)))) )],[refute_0_4007,refute_0_4024]) ).
cnf(refute_0_4026,plain,
composition(join(converse(complement(composition(X_236,top))),join(X_546,X_545)),X_236) = composition(join(X_546,X_545),X_236),
inference(subst,[],[refute_0_3714:[bind(X_235,$fot(join(X_546,X_545)))]]) ).
cnf(refute_0_4027,plain,
join(converse(complement(composition(X_236,top))),join(X_546,X_545)) = join(converse(complement(composition(X_236,top))),join(X_545,X_546)),
inference(subst,[],[refute_0_1934:[bind(X_25,$fot(converse(complement(composition(X_236,top))))),bind(X_26,$fot(X_545)),bind(X_27,$fot(X_546))]]) ).
cnf(refute_0_4028,plain,
( composition(join(converse(complement(composition(X_236,top))),join(X_546,X_545)),X_236) != composition(join(X_546,X_545),X_236)
| join(converse(complement(composition(X_236,top))),join(X_546,X_545)) != join(converse(complement(composition(X_236,top))),join(X_545,X_546))
| composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) = composition(join(X_546,X_545),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_546,X_545)),X_236),composition(join(X_546,X_545),X_236)) ),[0,0],$fot(join(converse(complement(composition(X_236,top))),join(X_545,X_546)))]]) ).
cnf(refute_0_4029,plain,
( composition(join(converse(complement(composition(X_236,top))),join(X_546,X_545)),X_236) != composition(join(X_546,X_545),X_236)
| composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) = composition(join(X_546,X_545),X_236) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_236,top))),join(X_546,X_545)),join(converse(complement(composition(X_236,top))),join(X_545,X_546))) )],[refute_0_4027,refute_0_4028]) ).
cnf(refute_0_4030,plain,
composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) = composition(join(X_546,X_545),X_236),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_546,X_545)),X_236),composition(join(X_546,X_545),X_236)) )],[refute_0_4026,refute_0_4029]) ).
cnf(refute_0_4031,plain,
composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) = composition(join(X_545,X_546),X_236),
inference(subst,[],[refute_0_3714:[bind(X_235,$fot(join(X_545,X_546)))]]) ).
cnf(refute_0_4032,plain,
( composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) != composition(join(X_545,X_546),X_236)
| composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) != composition(join(X_546,X_545),X_236)
| composition(join(X_545,X_546),X_236) = composition(join(X_546,X_545),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236),composition(join(X_546,X_545),X_236)) ),[0],$fot(composition(join(X_545,X_546),X_236))]]) ).
cnf(refute_0_4033,plain,
( composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236) != composition(join(X_546,X_545),X_236)
| composition(join(X_545,X_546),X_236) = composition(join(X_546,X_545),X_236) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236),composition(join(X_545,X_546),X_236)) )],[refute_0_4031,refute_0_4032]) ).
cnf(refute_0_4034,plain,
composition(join(X_545,X_546),X_236) = composition(join(X_546,X_545),X_236),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_236,top))),join(X_545,X_546)),X_236),composition(join(X_546,X_545),X_236)) )],[refute_0_4030,refute_0_4033]) ).
cnf(refute_0_4035,plain,
( composition(join(X_545,X_546),X_236) != composition(join(X_546,X_545),X_236)
| composition(join(X_546,X_545),X_236) = composition(join(X_545,X_546),X_236) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_545,X_546),X_236))),bind(Y,$fot(composition(join(X_546,X_545),X_236)))]]) ).
cnf(refute_0_4036,plain,
composition(join(X_546,X_545),X_236) = composition(join(X_545,X_546),X_236),
inference(resolve,[$cnf( $equal(composition(join(X_545,X_546),X_236),composition(join(X_546,X_545),X_236)) )],[refute_0_4034,refute_0_4035]) ).
cnf(refute_0_4037,plain,
composition(join(converse(complement(X_655)),complement(converse(X_655))),top) = composition(join(complement(converse(X_655)),converse(complement(X_655))),top),
inference(subst,[],[refute_0_4036:[bind(X_236,$fot(top)),bind(X_545,$fot(complement(converse(X_655)))),bind(X_546,$fot(converse(complement(X_655))))]]) ).
cnf(refute_0_4038,plain,
( composition(join(complement(converse(X_655)),converse(complement(X_655))),top) != converse(composition(top,complement(X_655)))
| composition(join(converse(complement(X_655)),complement(converse(X_655))),top) != composition(join(complement(converse(X_655)),converse(complement(X_655))),top)
| composition(join(converse(complement(X_655)),complement(converse(X_655))),top) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(converse(complement(X_655)),complement(converse(X_655))),top))),bind(Y,$fot(composition(join(complement(converse(X_655)),converse(complement(X_655))),top))),bind(Z,$fot(converse(composition(top,complement(X_655)))))]]) ).
cnf(refute_0_4039,plain,
( composition(join(complement(converse(X_655)),converse(complement(X_655))),top) != converse(composition(top,complement(X_655)))
| composition(join(converse(complement(X_655)),complement(converse(X_655))),top) = converse(composition(top,complement(X_655))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(X_655)),complement(converse(X_655))),top),composition(join(complement(converse(X_655)),converse(complement(X_655))),top)) )],[refute_0_4037,refute_0_4038]) ).
cnf(refute_0_4040,plain,
composition(join(converse(complement(X_655)),complement(converse(X_655))),top) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(X_655)),converse(complement(X_655))),top),converse(composition(top,complement(X_655)))) )],[refute_0_4025,refute_0_4039]) ).
cnf(refute_0_4041,plain,
composition(join(converse(X_7),X_235),top) = join(composition(converse(X_7),top),composition(X_235,top)),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(converse(X_7))),bind(X1,$fot(X_235)),bind(X2,$fot(top))]]) ).
cnf(refute_0_4042,plain,
( composition(converse(X_7),top) != converse(composition(top,X_7))
| composition(join(converse(X_7),X_235),top) != join(composition(converse(X_7),top),composition(X_235,top))
| composition(join(converse(X_7),X_235),top) = join(converse(composition(top,X_7)),composition(X_235,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_7),X_235),top),join(composition(converse(X_7),top),composition(X_235,top))) ),[1,0],$fot(converse(composition(top,X_7)))]]) ).
cnf(refute_0_4043,plain,
( composition(join(converse(X_7),X_235),top) != join(composition(converse(X_7),top),composition(X_235,top))
| composition(join(converse(X_7),X_235),top) = join(converse(composition(top,X_7)),composition(X_235,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_7),top),converse(composition(top,X_7))) )],[refute_0_3629,refute_0_4042]) ).
cnf(refute_0_4044,plain,
composition(join(converse(X_7),X_235),top) = join(converse(composition(top,X_7)),composition(X_235,top)),
inference(resolve,[$cnf( $equal(composition(join(converse(X_7),X_235),top),join(composition(converse(X_7),top),composition(X_235,top))) )],[refute_0_4041,refute_0_4043]) ).
cnf(refute_0_4045,plain,
( composition(join(converse(X_7),X_235),top) != join(converse(composition(top,X_7)),composition(X_235,top))
| join(converse(composition(top,X_7)),composition(X_235,top)) = composition(join(converse(X_7),X_235),top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(converse(X_7),X_235),top))),bind(Y,$fot(join(converse(composition(top,X_7)),composition(X_235,top))))]]) ).
cnf(refute_0_4046,plain,
join(converse(composition(top,X_7)),composition(X_235,top)) = composition(join(converse(X_7),X_235),top),
inference(resolve,[$cnf( $equal(composition(join(converse(X_7),X_235),top),join(converse(composition(top,X_7)),composition(X_235,top))) )],[refute_0_4044,refute_0_4045]) ).
cnf(refute_0_4047,plain,
join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) = composition(join(converse(complement(X_655)),complement(converse(X_655))),top),
inference(subst,[],[refute_0_4046:[bind(X_235,$fot(complement(converse(X_655)))),bind(X_7,$fot(complement(X_655)))]]) ).
cnf(refute_0_4048,plain,
( composition(join(converse(complement(X_655)),complement(converse(X_655))),top) != converse(composition(top,complement(X_655)))
| join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) != composition(join(converse(complement(X_655)),complement(converse(X_655))),top)
| join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)))),bind(Y,$fot(composition(join(converse(complement(X_655)),complement(converse(X_655))),top))),bind(Z,$fot(converse(composition(top,complement(X_655)))))]]) ).
cnf(refute_0_4049,plain,
( composition(join(converse(complement(X_655)),complement(converse(X_655))),top) != converse(composition(top,complement(X_655)))
| join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) = converse(composition(top,complement(X_655))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)),composition(join(converse(complement(X_655)),complement(converse(X_655))),top)) )],[refute_0_4047,refute_0_4048]) ).
cnf(refute_0_4050,plain,
join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(X_655)),complement(converse(X_655))),top),converse(composition(top,complement(X_655)))) )],[refute_0_4040,refute_0_4049]) ).
cnf(refute_0_4051,plain,
complement(complement(composition(complement(converse(X_655)),top))) = composition(complement(converse(X_655)),top),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(composition(complement(converse(X_655)),top)))]]) ).
cnf(refute_0_4052,plain,
join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))))]]) ).
cnf(refute_0_4053,plain,
( complement(complement(composition(complement(converse(X_655)),top))) != composition(complement(converse(X_655)),top)
| join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) != join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top))))
| join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))),join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top))))) ),[1,1],$fot(composition(complement(converse(X_655)),top))]]) ).
cnf(refute_0_4054,plain,
( complement(complement(composition(complement(converse(X_655)),top))) != composition(complement(converse(X_655)),top)
| join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))),join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top))))) )],[refute_0_4052,refute_0_4053]) ).
cnf(refute_0_4055,plain,
join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(converse(X_655)),top))),composition(complement(converse(X_655)),top)) )],[refute_0_4051,refute_0_4054]) ).
cnf(refute_0_4056,plain,
composition(converse(complement(X_655)),complement(zero)) = composition(converse(complement(X_655)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(X_655)),complement(zero)))]]) ).
cnf(refute_0_4057,plain,
( complement(zero) != top
| composition(converse(complement(X_655)),complement(zero)) != composition(converse(complement(X_655)),complement(zero))
| composition(converse(complement(X_655)),complement(zero)) = composition(converse(complement(X_655)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(X_655)),complement(zero)),composition(converse(complement(X_655)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4058,plain,
( complement(zero) != top
| composition(converse(complement(X_655)),complement(zero)) = composition(converse(complement(X_655)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(X_655)),complement(zero)),composition(converse(complement(X_655)),complement(zero))) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
composition(converse(complement(X_655)),complement(zero)) = composition(converse(complement(X_655)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_4058]) ).
cnf(refute_0_4060,plain,
( composition(converse(complement(X_655)),complement(zero)) != composition(converse(complement(X_655)),top)
| composition(converse(complement(X_655)),top) != converse(composition(top,complement(X_655)))
| composition(converse(complement(X_655)),complement(zero)) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(X_655)),complement(zero)))),bind(Y,$fot(composition(converse(complement(X_655)),top))),bind(Z,$fot(converse(composition(top,complement(X_655)))))]]) ).
cnf(refute_0_4061,plain,
( composition(converse(complement(X_655)),top) != converse(composition(top,complement(X_655)))
| composition(converse(complement(X_655)),complement(zero)) = converse(composition(top,complement(X_655))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(X_655)),complement(zero)),composition(converse(complement(X_655)),top)) )],[refute_0_4059,refute_0_4060]) ).
cnf(refute_0_4062,plain,
composition(converse(complement(X_655)),complement(zero)) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(composition(converse(complement(X_655)),top),converse(composition(top,complement(X_655)))) )],[refute_0_4007,refute_0_4061]) ).
cnf(refute_0_4063,plain,
join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),
introduced(tautology,[refl,[$fot(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))))]]) ).
cnf(refute_0_4064,plain,
( composition(converse(complement(X_655)),complement(zero)) != converse(composition(top,complement(X_655)))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) != join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top))))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top))))) ),[1,0],$fot(converse(composition(top,complement(X_655))))]]) ).
cnf(refute_0_4065,plain,
( composition(converse(complement(X_655)),complement(zero)) != converse(composition(top,complement(X_655)))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top))))) )],[refute_0_4063,refute_0_4064]) ).
cnf(refute_0_4066,plain,
join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(X_655)),complement(zero)),converse(composition(top,complement(X_655)))) )],[refute_0_4062,refute_0_4065]) ).
cnf(refute_0_4067,plain,
( join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) != join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top))))
| join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) != join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))))),bind(Y,$fot(join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))))),bind(Z,$fot(join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top))))]]) ).
cnf(refute_0_4068,plain,
( join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) != join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top))))) )],[refute_0_4066,refute_0_4067]) ).
cnf(refute_0_4069,plain,
join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))),join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top))) )],[refute_0_4055,refute_0_4068]) ).
cnf(refute_0_4070,plain,
( join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) != join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top))
| join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) != converse(composition(top,complement(X_655)))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))))),bind(Y,$fot(join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)))),bind(Z,$fot(converse(composition(top,complement(X_655)))))]]) ).
cnf(refute_0_4071,plain,
( join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) != converse(composition(top,complement(X_655)))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = converse(composition(top,complement(X_655))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top))) )],[refute_0_4069,refute_0_4070]) ).
cnf(refute_0_4072,plain,
join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)),converse(composition(top,complement(X_655)))) )],[refute_0_4050,refute_0_4071]) ).
cnf(refute_0_4073,plain,
join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(composition(converse(complement(X_655)),complement(zero)))),bind(X_124,$fot(complement(complement(composition(complement(converse(X_655)),top)))))]]) ).
cnf(refute_0_4074,plain,
( join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) != join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top))))
| join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) != converse(composition(top,complement(X_655)))
| join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))))),bind(Y,$fot(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))))),bind(Z,$fot(converse(composition(top,complement(X_655)))))]]) ).
cnf(refute_0_4075,plain,
( join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))) != converse(composition(top,complement(X_655)))
| join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = converse(composition(top,complement(X_655))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))),join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top))))) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(X_655)),complement(zero)),complement(complement(composition(complement(converse(X_655)),top)))),converse(composition(top,complement(X_655)))) )],[refute_0_4072,refute_0_4075]) ).
cnf(refute_0_4077,plain,
( join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) != complement(complement(composition(complement(converse(X_655)),top)))
| join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) != converse(composition(top,complement(X_655)))
| converse(composition(top,complement(X_655))) = complement(complement(composition(complement(converse(X_655)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))),complement(complement(composition(complement(converse(X_655)),top)))) ),[0],$fot(converse(composition(top,complement(X_655))))]]) ).
cnf(refute_0_4078,plain,
( join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) != complement(complement(composition(complement(converse(X_655)),top)))
| converse(composition(top,complement(X_655))) = complement(complement(composition(complement(converse(X_655)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))),converse(composition(top,complement(X_655)))) )],[refute_0_4076,refute_0_4077]) ).
cnf(refute_0_4079,plain,
( complement(complement(composition(complement(converse(X_655)),top))) != composition(complement(converse(X_655)),top)
| converse(composition(top,complement(X_655))) != complement(complement(composition(complement(converse(X_655)),top)))
| converse(composition(top,complement(X_655))) = composition(complement(converse(X_655)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) ),[1],$fot(composition(complement(converse(X_655)),top))]]) ).
cnf(refute_0_4080,plain,
( converse(composition(top,complement(X_655))) != complement(complement(composition(complement(converse(X_655)),top)))
| converse(composition(top,complement(X_655))) = composition(complement(converse(X_655)),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(converse(X_655)),top))),composition(complement(converse(X_655)),top)) )],[refute_0_4051,refute_0_4079]) ).
cnf(refute_0_4081,plain,
( join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))) != complement(complement(composition(complement(converse(X_655)),top)))
| converse(composition(top,complement(X_655))) = composition(complement(converse(X_655)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_655))),complement(complement(composition(complement(converse(X_655)),top)))) )],[refute_0_4078,refute_0_4080]) ).
cnf(refute_0_4082,plain,
converse(composition(top,complement(X_655))) = composition(complement(converse(X_655)),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(converse(X_655)),top))),composition(converse(complement(X_655)),complement(zero))),complement(complement(composition(complement(converse(X_655)),top)))) )],[refute_0_4006,refute_0_4081]) ).
cnf(refute_0_4083,plain,
( converse(composition(top,complement(X_655))) != composition(complement(converse(X_655)),top)
| composition(complement(converse(X_655)),top) = converse(composition(top,complement(X_655))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(top,complement(X_655))))),bind(Y,$fot(composition(complement(converse(X_655)),top)))]]) ).
cnf(refute_0_4084,plain,
composition(complement(converse(X_655)),top) = converse(composition(top,complement(X_655))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_655))),composition(complement(converse(X_655)),top)) )],[refute_0_4082,refute_0_4083]) ).
cnf(refute_0_4085,plain,
composition(complement(converse(complement(composition(top,X_334)))),top) = converse(composition(top,complement(complement(composition(top,X_334))))),
inference(subst,[],[refute_0_4084:[bind(X_655,$fot(complement(composition(top,X_334))))]]) ).
cnf(refute_0_4086,plain,
( composition(complement(converse(complement(composition(top,X_334)))),top) != converse(composition(top,complement(complement(composition(top,X_334)))))
| converse(composition(top,complement(complement(composition(top,X_334))))) != converse(composition(top,X_334))
| composition(complement(converse(complement(composition(top,X_334)))),top) = converse(composition(top,X_334)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(converse(complement(composition(top,X_334)))),top))),bind(Y,$fot(converse(composition(top,complement(complement(composition(top,X_334))))))),bind(Z,$fot(converse(composition(top,X_334))))]]) ).
cnf(refute_0_4087,plain,
( converse(composition(top,complement(complement(composition(top,X_334))))) != converse(composition(top,X_334))
| composition(complement(converse(complement(composition(top,X_334)))),top) = converse(composition(top,X_334)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(top,X_334)))),top),converse(composition(top,complement(complement(composition(top,X_334)))))) )],[refute_0_4085,refute_0_4086]) ).
cnf(refute_0_4088,plain,
composition(complement(converse(complement(composition(top,X_334)))),top) = converse(composition(top,X_334)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(complement(composition(top,X_334))))),converse(composition(top,X_334))) )],[refute_0_3993,refute_0_4087]) ).
cnf(refute_0_4089,plain,
complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = complement(composition(complement(converse(complement(composition(top,X_334)))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(complement(composition(top,X_334)))),top)))]]) ).
cnf(refute_0_4090,plain,
( complement(composition(complement(converse(complement(composition(top,X_334)))),top)) != complement(composition(complement(converse(complement(composition(top,X_334)))),top))
| composition(complement(converse(complement(composition(top,X_334)))),top) != converse(composition(top,X_334))
| complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = complement(converse(composition(top,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,X_334)))),top)),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) ),[1,0],$fot(converse(composition(top,X_334)))]]) ).
cnf(refute_0_4091,plain,
( composition(complement(converse(complement(composition(top,X_334)))),top) != converse(composition(top,X_334))
| complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = complement(converse(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,X_334)))),top)),complement(composition(complement(converse(complement(composition(top,X_334)))),top))) )],[refute_0_4089,refute_0_4090]) ).
cnf(refute_0_4092,plain,
complement(composition(complement(converse(complement(composition(top,X_334)))),top)) = complement(converse(composition(top,X_334))),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(top,X_334)))),top),converse(composition(top,X_334))) )],[refute_0_4088,refute_0_4091]) ).
cnf(refute_0_4093,plain,
( complement(composition(complement(converse(complement(composition(top,X_334)))),top)) != complement(converse(composition(top,X_334)))
| complement(composition(complement(converse(complement(composition(top,X_334)))),top)) != converse(complement(composition(top,X_334)))
| complement(converse(composition(top,X_334))) = converse(complement(composition(top,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,X_334)))),top)),converse(complement(composition(top,X_334)))) ),[0],$fot(complement(converse(composition(top,X_334))))]]) ).
cnf(refute_0_4094,plain,
( complement(composition(complement(converse(complement(composition(top,X_334)))),top)) != converse(complement(composition(top,X_334)))
| complement(converse(composition(top,X_334))) = converse(complement(composition(top,X_334))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,X_334)))),top)),complement(converse(composition(top,X_334)))) )],[refute_0_4092,refute_0_4093]) ).
cnf(refute_0_4095,plain,
complement(converse(composition(top,X_334))) = converse(complement(composition(top,X_334))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,X_334)))),top)),converse(complement(composition(top,X_334)))) )],[refute_0_3981,refute_0_4094]) ).
cnf(refute_0_4096,plain,
( complement(converse(composition(top,X_334))) != converse(complement(composition(top,X_334)))
| converse(complement(composition(top,X_334))) = complement(converse(composition(top,X_334))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(composition(top,X_334))))),bind(Y,$fot(converse(complement(composition(top,X_334)))))]]) ).
cnf(refute_0_4097,plain,
converse(complement(composition(top,X_334))) = complement(converse(composition(top,X_334))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,X_334))),converse(complement(composition(top,X_334)))) )],[refute_0_4095,refute_0_4096]) ).
cnf(refute_0_4098,plain,
converse(complement(composition(top,X_336))) = complement(converse(composition(top,X_336))),
inference(subst,[],[refute_0_4097:[bind(X_334,$fot(X_336))]]) ).
cnf(refute_0_4099,plain,
complement(converse(complement(composition(top,X_336)))) = complement(converse(complement(composition(top,X_336)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,X_336)))))]]) ).
cnf(refute_0_4100,plain,
( complement(converse(complement(composition(top,X_336)))) != complement(converse(complement(composition(top,X_336))))
| converse(complement(composition(top,X_336))) != complement(converse(composition(top,X_336)))
| complement(converse(complement(composition(top,X_336)))) = complement(complement(converse(composition(top,X_336)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,X_336)))),complement(converse(complement(composition(top,X_336))))) ),[1,0],$fot(complement(converse(composition(top,X_336))))]]) ).
cnf(refute_0_4101,plain,
( converse(complement(composition(top,X_336))) != complement(converse(composition(top,X_336)))
| complement(converse(complement(composition(top,X_336)))) = complement(complement(converse(composition(top,X_336)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_336)))),complement(converse(complement(composition(top,X_336))))) )],[refute_0_4099,refute_0_4100]) ).
cnf(refute_0_4102,plain,
complement(converse(complement(composition(top,X_336)))) = complement(complement(converse(composition(top,X_336)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,X_336))),complement(converse(composition(top,X_336)))) )],[refute_0_4098,refute_0_4101]) ).
cnf(refute_0_4103,plain,
( complement(complement(converse(composition(top,X_336)))) != converse(composition(top,X_336))
| complement(converse(complement(composition(top,X_336)))) != complement(complement(converse(composition(top,X_336))))
| complement(converse(complement(composition(top,X_336)))) = converse(composition(top,X_336)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(converse(complement(composition(top,X_336)))))),bind(Y,$fot(complement(complement(converse(composition(top,X_336)))))),bind(Z,$fot(converse(composition(top,X_336))))]]) ).
cnf(refute_0_4104,plain,
( complement(complement(converse(composition(top,X_336)))) != converse(composition(top,X_336))
| complement(converse(complement(composition(top,X_336)))) = converse(composition(top,X_336)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_336)))),complement(complement(converse(composition(top,X_336))))) )],[refute_0_4102,refute_0_4103]) ).
cnf(refute_0_4105,plain,
complement(converse(complement(composition(top,X_336)))) = converse(composition(top,X_336)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,X_336)))),converse(composition(top,X_336))) )],[refute_0_3752,refute_0_4104]) ).
cnf(refute_0_4106,plain,
composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))))]]) ).
cnf(refute_0_4107,plain,
( complement(converse(complement(composition(top,X_336)))) != converse(composition(top,X_336))
| composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) != composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336)))))
| composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = composition(complement(composition(top,X_336)),converse(composition(top,X_336))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))),composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336)))))) ),[1,1],$fot(converse(composition(top,X_336)))]]) ).
cnf(refute_0_4108,plain,
( complement(converse(complement(composition(top,X_336)))) != converse(composition(top,X_336))
| composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = composition(complement(composition(top,X_336)),converse(composition(top,X_336))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))),composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336)))))) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) = composition(complement(composition(top,X_336)),converse(composition(top,X_336))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_336)))),converse(composition(top,X_336))) )],[refute_0_4105,refute_0_4108]) ).
cnf(refute_0_4110,plain,
( composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) != composition(complement(composition(top,X_336)),converse(composition(top,X_336)))
| composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) != zero
| composition(complement(composition(top,X_336)),converse(composition(top,X_336))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))),zero) ),[0],$fot(composition(complement(composition(top,X_336)),converse(composition(top,X_336))))]]) ).
cnf(refute_0_4111,plain,
( composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))) != zero
| composition(complement(composition(top,X_336)),converse(composition(top,X_336))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))),composition(complement(composition(top,X_336)),converse(composition(top,X_336)))) )],[refute_0_4109,refute_0_4110]) ).
cnf(refute_0_4112,plain,
composition(complement(composition(top,X_336)),converse(composition(top,X_336))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_336)),complement(converse(complement(composition(top,X_336))))),zero) )],[refute_0_3751,refute_0_4111]) ).
cnf(refute_0_4113,plain,
composition(complement(composition(top,converse(X_6))),converse(composition(top,converse(X_6)))) = zero,
inference(subst,[],[refute_0_4112:[bind(X_336,$fot(converse(X_6)))]]) ).
cnf(refute_0_4114,plain,
( composition(complement(composition(top,converse(X_6))),converse(composition(top,converse(X_6)))) != zero
| composition(top,converse(X_6)) != converse(composition(X_6,top))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(composition(top,converse(X_6)))),zero) ),[0,1,0],$fot(converse(composition(X_6,top)))]]) ).
cnf(refute_0_4115,plain,
( composition(complement(composition(top,converse(X_6))),converse(composition(top,converse(X_6)))) != zero
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_6)),converse(composition(X_6,top))) )],[refute_0_3386,refute_0_4114]) ).
cnf(refute_0_4116,plain,
composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(composition(top,converse(X_6)))),zero) )],[refute_0_4113,refute_0_4115]) ).
cnf(refute_0_4117,plain,
converse(converse(composition(X_6,top))) = composition(X_6,top),
inference(subst,[],[refute_0_43:[bind(X0,$fot(composition(X_6,top)))]]) ).
cnf(refute_0_4118,plain,
composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))))]]) ).
cnf(refute_0_4119,plain,
( composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) != composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top))))
| converse(converse(composition(X_6,top))) != composition(X_6,top)
| composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),composition(X_6,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))),composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top))))) ),[1,1],$fot(composition(X_6,top))]]) ).
cnf(refute_0_4120,plain,
( converse(converse(composition(X_6,top))) != composition(X_6,top)
| composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),composition(X_6,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))),composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top))))) )],[refute_0_4118,refute_0_4119]) ).
cnf(refute_0_4121,plain,
composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),composition(X_6,top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_6,top))),composition(X_6,top)) )],[refute_0_4117,refute_0_4120]) ).
cnf(refute_0_4122,plain,
complement(composition(top,converse(X_6))) = complement(composition(top,converse(X_6))),
introduced(tautology,[refl,[$fot(complement(composition(top,converse(X_6))))]]) ).
cnf(refute_0_4123,plain,
( complement(composition(top,converse(X_6))) != complement(composition(top,converse(X_6)))
| composition(top,converse(X_6)) != converse(composition(X_6,top))
| complement(composition(top,converse(X_6))) = complement(converse(composition(X_6,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,converse(X_6))),complement(composition(top,converse(X_6)))) ),[1,0],$fot(converse(composition(X_6,top)))]]) ).
cnf(refute_0_4124,plain,
( composition(top,converse(X_6)) != converse(composition(X_6,top))
| complement(composition(top,converse(X_6))) = complement(converse(composition(X_6,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_6))),complement(composition(top,converse(X_6)))) )],[refute_0_4122,refute_0_4123]) ).
cnf(refute_0_4125,plain,
complement(composition(top,converse(X_6))) = complement(converse(composition(X_6,top))),
inference(resolve,[$cnf( $equal(composition(top,converse(X_6)),converse(composition(X_6,top))) )],[refute_0_3386,refute_0_4124]) ).
cnf(refute_0_4126,plain,
composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))))]]) ).
cnf(refute_0_4127,plain,
( complement(composition(top,converse(X_6))) != complement(converse(composition(X_6,top)))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) != composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top))))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top))))) ),[1,0],$fot(complement(converse(composition(X_6,top))))]]) ).
cnf(refute_0_4128,plain,
( complement(composition(top,converse(X_6))) != complement(converse(composition(X_6,top)))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top))))) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_6))),complement(converse(composition(X_6,top)))) )],[refute_0_4125,refute_0_4128]) ).
cnf(refute_0_4130,plain,
( composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) != composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top))))
| composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) != composition(complement(converse(composition(X_6,top))),composition(X_6,top))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),composition(X_6,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))))),bind(Y,$fot(composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))))),bind(Z,$fot(composition(complement(converse(composition(X_6,top))),composition(X_6,top))))]]) ).
cnf(refute_0_4131,plain,
( composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))) != composition(complement(converse(composition(X_6,top))),composition(X_6,top))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),composition(X_6,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top))))) )],[refute_0_4129,refute_0_4130]) ).
cnf(refute_0_4132,plain,
composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) = composition(complement(converse(composition(X_6,top))),composition(X_6,top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(X_6,top))),converse(converse(composition(X_6,top)))),composition(complement(converse(composition(X_6,top))),composition(X_6,top))) )],[refute_0_4121,refute_0_4131]) ).
cnf(refute_0_4133,plain,
( composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) != composition(complement(converse(composition(X_6,top))),composition(X_6,top))
| composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) != zero
| composition(complement(converse(composition(X_6,top))),composition(X_6,top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),zero) ),[0],$fot(composition(complement(converse(composition(X_6,top))),composition(X_6,top)))]]) ).
cnf(refute_0_4134,plain,
( composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))) != zero
| composition(complement(converse(composition(X_6,top))),composition(X_6,top)) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),composition(complement(converse(composition(X_6,top))),composition(X_6,top))) )],[refute_0_4132,refute_0_4133]) ).
cnf(refute_0_4135,plain,
composition(complement(converse(composition(X_6,top))),composition(X_6,top)) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,converse(X_6))),converse(converse(composition(X_6,top)))),zero) )],[refute_0_4116,refute_0_4134]) ).
cnf(refute_0_4136,plain,
composition(complement(converse(composition(X_683,top))),composition(X_683,top)) = zero,
inference(subst,[],[refute_0_4135:[bind(X_6,$fot(X_683))]]) ).
cnf(refute_0_4137,plain,
( composition(complement(converse(composition(X_683,top))),composition(X_683,top)) != zero
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(composition(complement(converse(composition(X_683,top))),composition(X_683,top))))) != complement(composition(X_683,top))
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = complement(composition(X_683,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(composition(complement(converse(composition(X_683,top))),composition(X_683,top))))),complement(composition(X_683,top))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_4138,plain,
( join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(composition(complement(converse(composition(X_683,top))),composition(X_683,top))))) != complement(composition(X_683,top))
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = complement(composition(X_683,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(X_683,top))),composition(X_683,top)),zero) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = complement(composition(X_683,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(composition(complement(converse(composition(X_683,top))),composition(X_683,top))))),complement(composition(X_683,top))) )],[refute_0_3627,refute_0_4138]) ).
cnf(refute_0_4140,plain,
meet(X_96,X_97) = meet(X_97,X_96),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_96)),bind(X_15,$fot(X_97))]]) ).
cnf(refute_0_4141,plain,
( meet(X_96,X_97) != meet(X_97,X_96)
| meet(X_97,X_96) = meet(X_96,X_97) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_96,X_97))),bind(Y,$fot(meet(X_97,X_96)))]]) ).
cnf(refute_0_4142,plain,
meet(X_97,X_96) = meet(X_96,X_97),
inference(resolve,[$cnf( $equal(meet(X_96,X_97),meet(X_97,X_96)) )],[refute_0_4140,refute_0_4141]) ).
cnf(refute_0_4143,plain,
( X_97 != join(meet(X_97,X_96),meet(X_97,complement(X_96)))
| meet(X_97,X_96) != meet(X_96,X_97)
| X_97 = join(meet(X_96,X_97),meet(X_97,complement(X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(meet(X_97,X_96),meet(X_97,complement(X_96)))) ),[1,0],$fot(meet(X_96,X_97))]]) ).
cnf(refute_0_4144,plain,
( X_97 != join(meet(X_97,X_96),meet(X_97,complement(X_96)))
| X_97 = join(meet(X_96,X_97),meet(X_97,complement(X_96))) ),
inference(resolve,[$cnf( $equal(meet(X_97,X_96),meet(X_96,X_97)) )],[refute_0_4142,refute_0_4143]) ).
cnf(refute_0_4145,plain,
X_97 = join(meet(X_96,X_97),meet(X_97,complement(X_96))),
inference(resolve,[$cnf( $equal(X_97,join(meet(X_97,X_96),meet(X_97,complement(X_96)))) )],[refute_0_243,refute_0_4144]) ).
cnf(refute_0_4146,plain,
converse(composition(top,complement(converse(complement(X_96))))) = join(meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))),
inference(subst,[],[refute_0_4145:[bind(X_97,$fot(converse(composition(top,complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_4147,plain,
complement(X_424) = join(complement(join(X_424,converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),
inference(subst,[],[refute_0_1900:[bind(X1,$fot(X_424)),bind(X_84,$fot(converse(composition(top,complement(converse(X_424))))))]]) ).
cnf(refute_0_4148,plain,
top = join(X_424,converse(composition(top,complement(converse(X_424))))),
inference(subst,[],[refute_0_3822:[bind(X0,$fot(X_424))]]) ).
cnf(refute_0_4149,plain,
( top != join(X_424,converse(composition(top,complement(converse(X_424)))))
| join(X_424,converse(composition(top,complement(converse(X_424))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_424,converse(composition(top,complement(converse(X_424)))))))]]) ).
cnf(refute_0_4150,plain,
join(X_424,converse(composition(top,complement(converse(X_424))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_424,converse(composition(top,complement(converse(X_424)))))) )],[refute_0_4148,refute_0_4149]) ).
cnf(refute_0_4151,plain,
( complement(X_424) != join(complement(join(X_424,converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))
| join(X_424,converse(composition(top,complement(converse(X_424))))) != top
| complement(X_424) = join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_424),join(complement(join(X_424,converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4152,plain,
( complement(X_424) != join(complement(join(X_424,converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))
| complement(X_424) = join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) ),
inference(resolve,[$cnf( $equal(join(X_424,converse(composition(top,complement(converse(X_424))))),top) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
complement(X_424) = join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),
inference(resolve,[$cnf( $equal(complement(X_424),join(complement(join(X_424,converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))) )],[refute_0_4147,refute_0_4152]) ).
cnf(refute_0_4154,plain,
join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))))]]) ).
cnf(refute_0_4155,plain,
join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))))]]) ).
cnf(refute_0_4156,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) != join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))
| join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4157,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))) )],[refute_0_4155,refute_0_4156]) ).
cnf(refute_0_4158,plain,
join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_4157]) ).
cnf(refute_0_4159,plain,
( join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) != join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))
| join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) != meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))
| join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))))),bind(Y,$fot(join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))))),bind(Z,$fot(meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))))]]) ).
cnf(refute_0_4160,plain,
( join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) != meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))
| join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))) )],[refute_0_4158,refute_0_4159]) ).
cnf(refute_0_4161,plain,
join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) )],[refute_0_4154,refute_0_4160]) ).
cnf(refute_0_4162,plain,
( complement(X_424) != join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))
| join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) != meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))
| complement(X_424) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_424),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) ),[0],$fot(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))))]]) ).
cnf(refute_0_4163,plain,
( complement(X_424) != join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))
| complement(X_424) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))),meet(complement(X_424),converse(composition(top,complement(converse(X_424)))))) )],[refute_0_4161,refute_0_4162]) ).
cnf(refute_0_4164,plain,
complement(X_424) = meet(complement(X_424),converse(composition(top,complement(converse(X_424))))),
inference(resolve,[$cnf( $equal(complement(X_424),join(complement(top),meet(complement(X_424),converse(composition(top,complement(converse(X_424))))))) )],[refute_0_4153,refute_0_4163]) ).
cnf(refute_0_4165,plain,
complement(complement(X_83)) = meet(complement(complement(X_83)),converse(composition(top,complement(converse(complement(X_83)))))),
inference(subst,[],[refute_0_4164:[bind(X_424,$fot(complement(X_83)))]]) ).
cnf(refute_0_4166,plain,
( complement(complement(X_83)) != X_83
| complement(complement(X_83)) != meet(complement(complement(X_83)),converse(composition(top,complement(converse(complement(X_83))))))
| complement(complement(X_83)) = meet(X_83,converse(composition(top,complement(converse(complement(X_83)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_83)),meet(complement(complement(X_83)),converse(composition(top,complement(converse(complement(X_83))))))) ),[1,0],$fot(X_83)]]) ).
cnf(refute_0_4167,plain,
( complement(complement(X_83)) != meet(complement(complement(X_83)),converse(composition(top,complement(converse(complement(X_83))))))
| complement(complement(X_83)) = meet(X_83,converse(composition(top,complement(converse(complement(X_83)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_4166]) ).
cnf(refute_0_4168,plain,
complement(complement(X_83)) = meet(X_83,converse(composition(top,complement(converse(complement(X_83)))))),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),meet(complement(complement(X_83)),converse(composition(top,complement(converse(complement(X_83))))))) )],[refute_0_4165,refute_0_4167]) ).
cnf(refute_0_4169,plain,
( complement(complement(X_83)) != X_83
| complement(complement(X_83)) != meet(X_83,converse(composition(top,complement(converse(complement(X_83))))))
| X_83 = meet(X_83,converse(composition(top,complement(converse(complement(X_83)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_83)),meet(X_83,converse(composition(top,complement(converse(complement(X_83))))))) ),[0],$fot(X_83)]]) ).
cnf(refute_0_4170,plain,
( complement(complement(X_83)) != meet(X_83,converse(composition(top,complement(converse(complement(X_83))))))
| X_83 = meet(X_83,converse(composition(top,complement(converse(complement(X_83)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_4169]) ).
cnf(refute_0_4171,plain,
X_83 = meet(X_83,converse(composition(top,complement(converse(complement(X_83)))))),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),meet(X_83,converse(composition(top,complement(converse(complement(X_83))))))) )],[refute_0_4168,refute_0_4170]) ).
cnf(refute_0_4172,plain,
X_96 = meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),
inference(subst,[],[refute_0_4171:[bind(X_83,$fot(X_96))]]) ).
cnf(refute_0_4173,plain,
( X_96 != meet(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))) = X_96 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_96)),bind(Y,$fot(meet(X_96,converse(composition(top,complement(converse(complement(X_96))))))))]]) ).
cnf(refute_0_4174,plain,
meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))) = X_96,
inference(resolve,[$cnf( $equal(X_96,meet(X_96,converse(composition(top,complement(converse(complement(X_96))))))) )],[refute_0_4172,refute_0_4173]) ).
cnf(refute_0_4175,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != join(meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))
| meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))) != X_96
| converse(composition(top,complement(converse(complement(X_96))))) = join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),join(meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))) ),[1,0],$fot(X_96)]]) ).
cnf(refute_0_4176,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != join(meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))
| converse(composition(top,complement(converse(complement(X_96))))) = join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))) ),
inference(resolve,[$cnf( $equal(meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),X_96) )],[refute_0_4174,refute_0_4175]) ).
cnf(refute_0_4177,plain,
converse(composition(top,complement(converse(complement(X_96))))) = join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),join(meet(X_96,converse(composition(top,complement(converse(complement(X_96)))))),meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))) )],[refute_0_4146,refute_0_4176]) ).
cnf(refute_0_4178,plain,
join(X_143,complement(join(complement(X_84),X_143))) = join(meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(join(X_143,complement(join(complement(X_84),X_143)))))]]) ).
cnf(refute_0_4179,plain,
X_84 = meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),
inference(subst,[],[refute_0_2968:[bind(X_139,$fot(X_143)),bind(X_83,$fot(X_84))]]) ).
cnf(refute_0_4180,plain,
( X_84 != meet(X_84,join(X_143,complement(join(complement(X_84),X_143))))
| meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))) = X_84 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_84)),bind(Y,$fot(meet(X_84,join(X_143,complement(join(complement(X_84),X_143))))))]]) ).
cnf(refute_0_4181,plain,
meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))) = X_84,
inference(resolve,[$cnf( $equal(X_84,meet(X_84,join(X_143,complement(join(complement(X_84),X_143))))) )],[refute_0_4179,refute_0_4180]) ).
cnf(refute_0_4182,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))
| meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))) != X_84
| join(X_143,complement(join(complement(X_84),X_143))) = join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))) ),[1,0],$fot(X_84)]]) ).
cnf(refute_0_4183,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))
| join(X_143,complement(join(complement(X_84),X_143))) = join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) ),
inference(resolve,[$cnf( $equal(meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),X_84) )],[refute_0_4181,refute_0_4182]) ).
cnf(refute_0_4184,plain,
join(X_143,complement(join(complement(X_84),X_143))) = join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))),
inference(resolve,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(meet(X_84,join(X_143,complement(join(complement(X_84),X_143)))),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))) )],[refute_0_4178,refute_0_4183]) ).
cnf(refute_0_4185,plain,
join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84) = join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_84)),bind(X1,$fot(complement(join(X_143,complement(join(complement(X_84),X_143))))))]]) ).
cnf(refute_0_4186,plain,
complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) = complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))]]) ).
cnf(refute_0_4187,plain,
( complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) != complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))
| join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84) != join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))
| complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) = complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) ),[1,0],$fot(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))]]) ).
cnf(refute_0_4188,plain,
( join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84) != join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))
| complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) = complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)),complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) )],[refute_0_4186,refute_0_4187]) ).
cnf(refute_0_4189,plain,
complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) = complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))),
inference(resolve,[$cnf( $equal(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84),join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) )],[refute_0_4185,refute_0_4188]) ).
cnf(refute_0_4190,plain,
join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) = join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))),
introduced(tautology,[refl,[$fot(join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))))]]) ).
cnf(refute_0_4191,plain,
( complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) != complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))
| join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) != join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))
| join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))),join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))) ),[1,1],$fot(complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))]]) ).
cnf(refute_0_4192,plain,
( complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)) != complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))
| join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))),join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))) )],[refute_0_4190,refute_0_4191]) ).
cnf(refute_0_4193,plain,
join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)),complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) )],[refute_0_4189,refute_0_4192]) ).
cnf(refute_0_4194,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))
| join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_143,complement(join(complement(X_84),X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) ),[0],$fot(join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))))]]) ).
cnf(refute_0_4195,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))
| join(X_143,complement(join(complement(X_84),X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) )],[refute_0_4193,refute_0_4194]) ).
cnf(refute_0_4196,plain,
join(X_143,complement(join(complement(X_84),X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))),
inference(resolve,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_84,complement(join(complement(join(X_143,complement(join(complement(X_84),X_143)))),X_84)))) )],[refute_0_4184,refute_0_4195]) ).
cnf(refute_0_4197,plain,
complement(join(complement(X_84),X_143)) = meet(X_84,complement(X_143)),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(X_84)),bind(X_180,$fot(X_143))]]) ).
cnf(refute_0_4198,plain,
join(X_143,complement(join(complement(X_84),X_143))) = join(X_143,complement(join(complement(X_84),X_143))),
introduced(tautology,[refl,[$fot(join(X_143,complement(join(complement(X_84),X_143))))]]) ).
cnf(refute_0_4199,plain,
( complement(join(complement(X_84),X_143)) != meet(X_84,complement(X_143))
| join(X_143,complement(join(complement(X_84),X_143))) != join(X_143,complement(join(complement(X_84),X_143)))
| join(X_143,complement(join(complement(X_84),X_143))) = join(X_143,meet(X_84,complement(X_143))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_143,complement(join(complement(X_84),X_143)))) ),[1,1],$fot(meet(X_84,complement(X_143)))]]) ).
cnf(refute_0_4200,plain,
( complement(join(complement(X_84),X_143)) != meet(X_84,complement(X_143))
| join(X_143,complement(join(complement(X_84),X_143))) = join(X_143,meet(X_84,complement(X_143))) ),
inference(resolve,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_143,complement(join(complement(X_84),X_143)))) )],[refute_0_4198,refute_0_4199]) ).
cnf(refute_0_4201,plain,
join(X_143,complement(join(complement(X_84),X_143))) = join(X_143,meet(X_84,complement(X_143))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_84),X_143)),meet(X_84,complement(X_143))) )],[refute_0_4197,refute_0_4200]) ).
cnf(refute_0_4202,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(X_143,meet(X_84,complement(X_143)))
| join(X_143,complement(join(complement(X_84),X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) ),[0],$fot(join(X_143,meet(X_84,complement(X_143))))]]) ).
cnf(refute_0_4203,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),
inference(resolve,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_143,meet(X_84,complement(X_143)))) )],[refute_0_4201,refute_0_4202]) ).
cnf(refute_0_4204,plain,
complement(join(X_143,complement(join(complement(X_84),X_143)))) = complement(join(X_143,complement(join(complement(X_84),X_143)))),
introduced(tautology,[refl,[$fot(complement(join(X_143,complement(join(complement(X_84),X_143)))))]]) ).
cnf(refute_0_4205,plain,
( complement(join(X_143,complement(join(complement(X_84),X_143)))) != complement(join(X_143,complement(join(complement(X_84),X_143))))
| join(X_143,complement(join(complement(X_84),X_143))) != join(X_143,meet(X_84,complement(X_143)))
| complement(join(X_143,complement(join(complement(X_84),X_143)))) = complement(join(X_143,meet(X_84,complement(X_143)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_143,complement(join(complement(X_84),X_143)))),complement(join(X_143,complement(join(complement(X_84),X_143))))) ),[1,0],$fot(join(X_143,meet(X_84,complement(X_143))))]]) ).
cnf(refute_0_4206,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(X_143,meet(X_84,complement(X_143)))
| complement(join(X_143,complement(join(complement(X_84),X_143)))) = complement(join(X_143,meet(X_84,complement(X_143)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_143,complement(join(complement(X_84),X_143)))),complement(join(X_143,complement(join(complement(X_84),X_143))))) )],[refute_0_4204,refute_0_4205]) ).
cnf(refute_0_4207,plain,
complement(join(X_143,complement(join(complement(X_84),X_143)))) = complement(join(X_143,meet(X_84,complement(X_143)))),
inference(resolve,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_143,meet(X_84,complement(X_143)))) )],[refute_0_4201,refute_0_4206]) ).
cnf(refute_0_4208,plain,
join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) = join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))),
introduced(tautology,[refl,[$fot(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))]]) ).
cnf(refute_0_4209,plain,
( complement(join(X_143,complement(join(complement(X_84),X_143)))) != complement(join(X_143,meet(X_84,complement(X_143))))
| join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) != join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))
| join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) = join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))),join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) ),[1,1],$fot(complement(join(X_143,meet(X_84,complement(X_143)))))]]) ).
cnf(refute_0_4210,plain,
( complement(join(X_143,complement(join(complement(X_84),X_143)))) != complement(join(X_143,meet(X_84,complement(X_143))))
| join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) = join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))),join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) )],[refute_0_4208,refute_0_4209]) ).
cnf(refute_0_4211,plain,
join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) = join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))),
inference(resolve,[$cnf( $equal(complement(join(X_143,complement(join(complement(X_84),X_143)))),complement(join(X_143,meet(X_84,complement(X_143))))) )],[refute_0_4207,refute_0_4210]) ).
cnf(refute_0_4212,plain,
complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) = complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))),
introduced(tautology,[refl,[$fot(complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))]]) ).
cnf(refute_0_4213,plain,
( complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) != complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))
| join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) != join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))
| complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) = complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))),complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) ),[1,0],$fot(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))]]) ).
cnf(refute_0_4214,plain,
( join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))) != join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))
| complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) = complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) ),
inference(resolve,[$cnf( $equal(complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))),complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) )],[refute_0_4212,refute_0_4213]) ).
cnf(refute_0_4215,plain,
complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) = complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))),join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) )],[refute_0_4211,refute_0_4214]) ).
cnf(refute_0_4216,plain,
join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) = join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))),
introduced(tautology,[refl,[$fot(join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))))]]) ).
cnf(refute_0_4217,plain,
( complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) != complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))
| join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) ),[1,1],$fot(complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))]]) ).
cnf(refute_0_4218,plain,
( complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))) != complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))
| join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) )],[refute_0_4216,refute_0_4217]) ).
cnf(refute_0_4219,plain,
join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))),
inference(resolve,[$cnf( $equal(complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))),complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) )],[refute_0_4215,refute_0_4218]) ).
cnf(refute_0_4220,plain,
( join(X_143,meet(X_84,complement(X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))) != join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_143,meet(X_84,complement(X_143))),join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))) ),[0],$fot(join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))))]]) ).
cnf(refute_0_4221,plain,
( join(X_143,meet(X_84,complement(X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143))))))),join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))) )],[refute_0_4219,refute_0_4220]) ).
cnf(refute_0_4222,plain,
( join(X_143,complement(join(complement(X_84),X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) ),
inference(resolve,[$cnf( $equal(join(X_143,meet(X_84,complement(X_143))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) )],[refute_0_4203,refute_0_4221]) ).
cnf(refute_0_4223,plain,
join(X_143,meet(X_84,complement(X_143))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))),
inference(resolve,[$cnf( $equal(join(X_143,complement(join(complement(X_84),X_143))),join(X_84,complement(join(X_84,complement(join(X_143,complement(join(complement(X_84),X_143)))))))) )],[refute_0_4196,refute_0_4222]) ).
cnf(refute_0_4224,plain,
meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84)) = meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(X_84))),bind(X_15,$fot(join(X_143,meet(X_84,complement(X_143)))))]]) ).
cnf(refute_0_4225,plain,
join(X_188,complement(X_187)) = join(complement(X_187),X_188),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_188)),bind(X1,$fot(complement(X_187)))]]) ).
cnf(refute_0_4226,plain,
( join(X_188,complement(X_187)) != join(complement(X_187),X_188)
| join(complement(X_187),X_188) = join(X_188,complement(X_187)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_188,complement(X_187)))),bind(Y,$fot(join(complement(X_187),X_188)))]]) ).
cnf(refute_0_4227,plain,
join(complement(X_187),X_188) = join(X_188,complement(X_187)),
inference(resolve,[$cnf( $equal(join(X_188,complement(X_187)),join(complement(X_187),X_188)) )],[refute_0_4225,refute_0_4226]) ).
cnf(refute_0_4228,plain,
( join(complement(X_187),X_188) != join(X_188,complement(X_187))
| meet(X_187,complement(X_188)) != complement(join(complement(X_187),X_188))
| meet(X_187,complement(X_188)) = complement(join(X_188,complement(X_187))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_187,complement(X_188)),complement(join(complement(X_187),X_188))) ),[1,0],$fot(join(X_188,complement(X_187)))]]) ).
cnf(refute_0_4229,plain,
( meet(X_187,complement(X_188)) != complement(join(complement(X_187),X_188))
| meet(X_187,complement(X_188)) = complement(join(X_188,complement(X_187))) ),
inference(resolve,[$cnf( $equal(join(complement(X_187),X_188),join(X_188,complement(X_187))) )],[refute_0_4227,refute_0_4228]) ).
cnf(refute_0_4230,plain,
meet(X_187,complement(X_188)) = complement(join(X_188,complement(X_187))),
inference(resolve,[$cnf( $equal(meet(X_187,complement(X_188)),complement(join(complement(X_187),X_188))) )],[refute_0_972,refute_0_4229]) ).
cnf(refute_0_4231,plain,
( meet(X_187,complement(X_188)) != complement(join(X_188,complement(X_187)))
| complement(join(X_188,complement(X_187))) = meet(X_187,complement(X_188)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_187,complement(X_188)))),bind(Y,$fot(complement(join(X_188,complement(X_187)))))]]) ).
cnf(refute_0_4232,plain,
complement(join(X_188,complement(X_187))) = meet(X_187,complement(X_188)),
inference(resolve,[$cnf( $equal(meet(X_187,complement(X_188)),complement(join(X_188,complement(X_187)))) )],[refute_0_4230,refute_0_4231]) ).
cnf(refute_0_4233,plain,
complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) = meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84)),
inference(subst,[],[refute_0_4232:[bind(X_187,$fot(join(X_143,meet(X_84,complement(X_143))))),bind(X_188,$fot(X_84))]]) ).
cnf(refute_0_4234,plain,
( complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) != meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84))
| meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84)) != meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))
| complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) = meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))),bind(Y,$fot(meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84)))),bind(Z,$fot(meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))))]]) ).
cnf(refute_0_4235,plain,
( meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84)) != meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))
| complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) = meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))),meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84))) )],[refute_0_4233,refute_0_4234]) ).
cnf(refute_0_4236,plain,
complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) = meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))),
inference(resolve,[$cnf( $equal(meet(join(X_143,meet(X_84,complement(X_143))),complement(X_84)),meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) )],[refute_0_4224,refute_0_4235]) ).
cnf(refute_0_4237,plain,
join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) = join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))),
introduced(tautology,[refl,[$fot(join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))))]]) ).
cnf(refute_0_4238,plain,
( complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) != meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))
| join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) != join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))
| join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) = join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))),join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))) ),[1,1],$fot(meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))]]) ).
cnf(refute_0_4239,plain,
( complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))) != meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))
| join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) = join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))),join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))) )],[refute_0_4237,refute_0_4238]) ).
cnf(refute_0_4240,plain,
join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) = join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))),
inference(resolve,[$cnf( $equal(complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))),meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) )],[refute_0_4236,refute_0_4239]) ).
cnf(refute_0_4241,plain,
( join(X_143,meet(X_84,complement(X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))
| join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))) != join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_143,meet(X_84,complement(X_143))),join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))) ),[0],$fot(join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))))]]) ).
cnf(refute_0_4242,plain,
( join(X_143,meet(X_84,complement(X_143))) != join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) ),
inference(resolve,[$cnf( $equal(join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143))))))),join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))) )],[refute_0_4240,refute_0_4241]) ).
cnf(refute_0_4243,plain,
join(X_143,meet(X_84,complement(X_143))) = join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))),
inference(resolve,[$cnf( $equal(join(X_143,meet(X_84,complement(X_143))),join(X_84,complement(join(X_84,complement(join(X_143,meet(X_84,complement(X_143)))))))) )],[refute_0_4223,refute_0_4242]) ).
cnf(refute_0_4244,plain,
join(meet(X_26,X_382),join(X_25,X_26)) = join(X_25,join(X_26,meet(X_26,X_382))),
inference(subst,[],[refute_0_421:[bind(X0,$fot(meet(X_26,X_382)))]]) ).
cnf(refute_0_4245,plain,
join(X_26,meet(X_26,X_382)) = X_26,
inference(subst,[],[refute_0_1915:[bind(X_96,$fot(X_382)),bind(X_97,$fot(X_26))]]) ).
cnf(refute_0_4246,plain,
( join(X_26,meet(X_26,X_382)) != X_26
| join(meet(X_26,X_382),join(X_25,X_26)) != join(X_25,join(X_26,meet(X_26,X_382)))
| join(meet(X_26,X_382),join(X_25,X_26)) = join(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_26,X_382),join(X_25,X_26)),join(X_25,join(X_26,meet(X_26,X_382)))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_4247,plain,
( join(meet(X_26,X_382),join(X_25,X_26)) != join(X_25,join(X_26,meet(X_26,X_382)))
| join(meet(X_26,X_382),join(X_25,X_26)) = join(X_25,X_26) ),
inference(resolve,[$cnf( $equal(join(X_26,meet(X_26,X_382)),X_26) )],[refute_0_4245,refute_0_4246]) ).
cnf(refute_0_4248,plain,
join(meet(X_26,X_382),join(X_25,X_26)) = join(X_25,X_26),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_382),join(X_25,X_26)),join(X_25,join(X_26,meet(X_26,X_382)))) )],[refute_0_4244,refute_0_4247]) ).
cnf(refute_0_4249,plain,
join(meet(X_26,X_382),join(X_25,X_26)) = join(X_26,join(X_25,meet(X_26,X_382))),
inference(subst,[],[refute_0_2641:[bind(X_25,$fot(X_26)),bind(X_26,$fot(X_25)),bind(X_27,$fot(meet(X_26,X_382)))]]) ).
cnf(refute_0_4250,plain,
( join(meet(X_26,X_382),join(X_25,X_26)) != join(X_25,X_26)
| join(meet(X_26,X_382),join(X_25,X_26)) != join(X_26,join(X_25,meet(X_26,X_382)))
| join(X_26,join(X_25,meet(X_26,X_382))) = join(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_26,X_382),join(X_25,X_26)),join(X_25,X_26)) ),[0],$fot(join(X_26,join(X_25,meet(X_26,X_382))))]]) ).
cnf(refute_0_4251,plain,
( join(meet(X_26,X_382),join(X_25,X_26)) != join(X_25,X_26)
| join(X_26,join(X_25,meet(X_26,X_382))) = join(X_25,X_26) ),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_382),join(X_25,X_26)),join(X_26,join(X_25,meet(X_26,X_382)))) )],[refute_0_4249,refute_0_4250]) ).
cnf(refute_0_4252,plain,
join(X_26,join(X_25,meet(X_26,X_382))) = join(X_25,X_26),
inference(resolve,[$cnf( $equal(join(meet(X_26,X_382),join(X_25,X_26)),join(X_25,X_26)) )],[refute_0_4248,refute_0_4251]) ).
cnf(refute_0_4253,plain,
join(X_84,join(X_143,meet(X_84,complement(X_143)))) = join(X_143,X_84),
inference(subst,[],[refute_0_4252:[bind(X_25,$fot(X_143)),bind(X_26,$fot(X_84)),bind(X_382,$fot(complement(X_143)))]]) ).
cnf(refute_0_4254,plain,
join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) = join(X_84,join(X_143,meet(X_84,complement(X_143)))),
inference(subst,[],[refute_0_3125:[bind(X_459,$fot(X_84)),bind(X_83,$fot(join(X_143,meet(X_84,complement(X_143)))))]]) ).
cnf(refute_0_4255,plain,
( join(X_84,join(X_143,meet(X_84,complement(X_143)))) != join(X_143,X_84)
| join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) != join(X_84,join(X_143,meet(X_84,complement(X_143))))
| join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) = join(X_143,X_84) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))))),bind(Y,$fot(join(X_84,join(X_143,meet(X_84,complement(X_143)))))),bind(Z,$fot(join(X_143,X_84)))]]) ).
cnf(refute_0_4256,plain,
( join(X_84,join(X_143,meet(X_84,complement(X_143)))) != join(X_143,X_84)
| join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) = join(X_143,X_84) ),
inference(resolve,[$cnf( $equal(join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))),join(X_84,join(X_143,meet(X_84,complement(X_143))))) )],[refute_0_4254,refute_0_4255]) ).
cnf(refute_0_4257,plain,
join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) = join(X_143,X_84),
inference(resolve,[$cnf( $equal(join(X_84,join(X_143,meet(X_84,complement(X_143)))),join(X_143,X_84)) )],[refute_0_4253,refute_0_4256]) ).
cnf(refute_0_4258,plain,
( join(X_143,meet(X_84,complement(X_143))) != join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))
| join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))) != join(X_143,X_84)
| join(X_143,meet(X_84,complement(X_143))) = join(X_143,X_84) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_143,meet(X_84,complement(X_143))),join(X_143,X_84)) ),[0],$fot(join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))))]]) ).
cnf(refute_0_4259,plain,
( join(X_143,meet(X_84,complement(X_143))) != join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))
| join(X_143,meet(X_84,complement(X_143))) = join(X_143,X_84) ),
inference(resolve,[$cnf( $equal(join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143))))),join(X_143,X_84)) )],[refute_0_4257,refute_0_4258]) ).
cnf(refute_0_4260,plain,
join(X_143,meet(X_84,complement(X_143))) = join(X_143,X_84),
inference(resolve,[$cnf( $equal(join(X_143,meet(X_84,complement(X_143))),join(X_84,meet(complement(X_84),join(X_143,meet(X_84,complement(X_143)))))) )],[refute_0_4243,refute_0_4259]) ).
cnf(refute_0_4261,plain,
join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))),
inference(subst,[],[refute_0_4260:[bind(X_143,$fot(X_96)),bind(X_84,$fot(converse(composition(top,complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_4262,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))
| join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| converse(composition(top,complement(converse(complement(X_96))))) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(top,complement(converse(complement(X_96))))),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) ),[0],$fot(join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))))]]) ).
cnf(refute_0_4263,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))
| converse(composition(top,complement(converse(complement(X_96))))) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) ),
inference(resolve,[$cnf( $equal(join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96))),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) )],[refute_0_4261,refute_0_4262]) ).
cnf(refute_0_4264,plain,
converse(composition(top,complement(converse(complement(X_96))))) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),join(X_96,meet(converse(composition(top,complement(converse(complement(X_96))))),complement(X_96)))) )],[refute_0_4177,refute_0_4263]) ).
cnf(refute_0_4265,plain,
complement(complement(X_96)) = X_96,
inference(subst,[],[refute_0_211:[bind(X_83,$fot(X_96))]]) ).
cnf(refute_0_4266,plain,
composition(complement(complement(X_96)),top) = composition(complement(complement(X_96)),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(X_96)),top))]]) ).
cnf(refute_0_4267,plain,
( complement(complement(X_96)) != X_96
| composition(complement(complement(X_96)),top) != composition(complement(complement(X_96)),top)
| composition(complement(complement(X_96)),top) = composition(X_96,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(X_96)),top),composition(complement(complement(X_96)),top)) ),[1,0],$fot(X_96)]]) ).
cnf(refute_0_4268,plain,
( complement(complement(X_96)) != X_96
| composition(complement(complement(X_96)),top) = composition(X_96,top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_96)),top),composition(complement(complement(X_96)),top)) )],[refute_0_4266,refute_0_4267]) ).
cnf(refute_0_4269,plain,
composition(complement(complement(X_96)),top) = composition(X_96,top),
inference(resolve,[$cnf( $equal(complement(complement(X_96)),X_96) )],[refute_0_4265,refute_0_4268]) ).
cnf(refute_0_4270,plain,
converse(composition(top,complement(converse(complement(X_96))))) = composition(complement(complement(X_96)),top),
inference(subst,[],[refute_0_3960:[bind(X_652,$fot(complement(X_96)))]]) ).
cnf(refute_0_4271,plain,
( composition(complement(complement(X_96)),top) != composition(X_96,top)
| converse(composition(top,complement(converse(complement(X_96))))) != composition(complement(complement(X_96)),top)
| converse(composition(top,complement(converse(complement(X_96))))) = composition(X_96,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,complement(converse(complement(X_96))))))),bind(Y,$fot(composition(complement(complement(X_96)),top))),bind(Z,$fot(composition(X_96,top)))]]) ).
cnf(refute_0_4272,plain,
( composition(complement(complement(X_96)),top) != composition(X_96,top)
| converse(composition(top,complement(converse(complement(X_96))))) = composition(X_96,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),composition(complement(complement(X_96)),top)) )],[refute_0_4270,refute_0_4271]) ).
cnf(refute_0_4273,plain,
converse(composition(top,complement(converse(complement(X_96))))) = composition(X_96,top),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_96)),top),composition(X_96,top)) )],[refute_0_4269,refute_0_4272]) ).
cnf(refute_0_4274,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != composition(X_96,top)
| converse(composition(top,complement(converse(complement(X_96))))) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| composition(X_96,top) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) ),[0],$fot(composition(X_96,top))]]) ).
cnf(refute_0_4275,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| composition(X_96,top) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),composition(X_96,top)) )],[refute_0_4273,refute_0_4274]) ).
cnf(refute_0_4276,plain,
join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) = join(X_96,converse(composition(top,complement(converse(complement(X_96)))))),
introduced(tautology,[refl,[$fot(join(X_96,converse(composition(top,complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_4277,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != composition(X_96,top)
| join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) = join(X_96,composition(X_96,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_96,converse(composition(top,complement(converse(complement(X_96)))))),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) ),[1,1],$fot(composition(X_96,top))]]) ).
cnf(refute_0_4278,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != composition(X_96,top)
| join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) = join(X_96,composition(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(X_96,converse(composition(top,complement(converse(complement(X_96)))))),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) )],[refute_0_4276,refute_0_4277]) ).
cnf(refute_0_4279,plain,
join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) = join(X_96,composition(X_96,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),composition(X_96,top)) )],[refute_0_4273,refute_0_4278]) ).
cnf(refute_0_4280,plain,
( composition(X_96,top) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| join(X_96,converse(composition(top,complement(converse(complement(X_96)))))) != join(X_96,composition(X_96,top))
| composition(X_96,top) = join(X_96,composition(X_96,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_96,top),join(X_96,composition(X_96,top))) ),[0],$fot(join(X_96,converse(composition(top,complement(converse(complement(X_96)))))))]]) ).
cnf(refute_0_4281,plain,
( composition(X_96,top) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| composition(X_96,top) = join(X_96,composition(X_96,top)) ),
inference(resolve,[$cnf( $equal(join(X_96,converse(composition(top,complement(converse(complement(X_96)))))),join(X_96,composition(X_96,top))) )],[refute_0_4279,refute_0_4280]) ).
cnf(refute_0_4282,plain,
( converse(composition(top,complement(converse(complement(X_96))))) != join(X_96,converse(composition(top,complement(converse(complement(X_96))))))
| composition(X_96,top) = join(X_96,composition(X_96,top)) ),
inference(resolve,[$cnf( $equal(composition(X_96,top),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) )],[refute_0_4275,refute_0_4281]) ).
cnf(refute_0_4283,plain,
composition(X_96,top) = join(X_96,composition(X_96,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(complement(X_96))))),join(X_96,converse(composition(top,complement(converse(complement(X_96))))))) )],[refute_0_4264,refute_0_4282]) ).
cnf(refute_0_4284,plain,
( composition(X_96,top) != join(X_96,composition(X_96,top))
| join(X_96,composition(X_96,top)) = composition(X_96,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X_96,top))),bind(Y,$fot(join(X_96,composition(X_96,top))))]]) ).
cnf(refute_0_4285,plain,
join(X_96,composition(X_96,top)) = composition(X_96,top),
inference(resolve,[$cnf( $equal(composition(X_96,top),join(X_96,composition(X_96,top))) )],[refute_0_4283,refute_0_4284]) ).
cnf(refute_0_4286,plain,
join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)) = composition(complement(composition(X_683,top)),top),
inference(subst,[],[refute_0_4285:[bind(X_96,$fot(complement(composition(X_683,top))))]]) ).
cnf(refute_0_4287,plain,
converse(composition(top,complement(converse(composition(X_683,top))))) = composition(complement(composition(X_683,top)),top),
inference(subst,[],[refute_0_3960:[bind(X_652,$fot(composition(X_683,top)))]]) ).
cnf(refute_0_4288,plain,
composition(converse(complement(converse(composition(X_683,top)))),top) = converse(composition(top,complement(converse(composition(X_683,top))))),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(complement(converse(composition(X_683,top)))))]]) ).
cnf(refute_0_4289,plain,
( composition(converse(complement(converse(composition(X_683,top)))),top) != converse(composition(top,complement(converse(composition(X_683,top)))))
| converse(composition(top,complement(converse(composition(X_683,top))))) != composition(complement(composition(X_683,top)),top)
| composition(converse(complement(converse(composition(X_683,top)))),top) = composition(complement(composition(X_683,top)),top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(converse(composition(X_683,top)))),top))),bind(Y,$fot(converse(composition(top,complement(converse(composition(X_683,top))))))),bind(Z,$fot(composition(complement(composition(X_683,top)),top)))]]) ).
cnf(refute_0_4290,plain,
( converse(composition(top,complement(converse(composition(X_683,top))))) != composition(complement(composition(X_683,top)),top)
| composition(converse(complement(converse(composition(X_683,top)))),top) = composition(complement(composition(X_683,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(X_683,top)))),top),converse(composition(top,complement(converse(composition(X_683,top)))))) )],[refute_0_4288,refute_0_4289]) ).
cnf(refute_0_4291,plain,
composition(converse(complement(converse(composition(X_683,top)))),top) = composition(complement(composition(X_683,top)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(X_683,top))))),composition(complement(composition(X_683,top)),top)) )],[refute_0_4287,refute_0_4290]) ).
cnf(refute_0_4292,plain,
composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(converse(complement(converse(composition(X_683,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(X_683,top)))),complement(zero)))]]) ).
cnf(refute_0_4293,plain,
( complement(zero) != top
| composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) != composition(converse(complement(converse(composition(X_683,top)))),complement(zero))
| composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(converse(complement(converse(composition(X_683,top)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(X_683,top)))),complement(zero)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4294,plain,
( complement(zero) != top
| composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(converse(complement(converse(composition(X_683,top)))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(X_683,top)))),complement(zero)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) )],[refute_0_4292,refute_0_4293]) ).
cnf(refute_0_4295,plain,
composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(converse(complement(converse(composition(X_683,top)))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_4294]) ).
cnf(refute_0_4296,plain,
( composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) != composition(converse(complement(converse(composition(X_683,top)))),top)
| composition(converse(complement(converse(composition(X_683,top)))),top) != composition(complement(composition(X_683,top)),top)
| composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(complement(composition(X_683,top)),top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(converse(composition(X_683,top)))),complement(zero)))),bind(Y,$fot(composition(converse(complement(converse(composition(X_683,top)))),top))),bind(Z,$fot(composition(complement(composition(X_683,top)),top)))]]) ).
cnf(refute_0_4297,plain,
( composition(converse(complement(converse(composition(X_683,top)))),top) != composition(complement(composition(X_683,top)),top)
| composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(complement(composition(X_683,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(X_683,top)))),complement(zero)),composition(converse(complement(converse(composition(X_683,top)))),top)) )],[refute_0_4295,refute_0_4296]) ).
cnf(refute_0_4298,plain,
composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) = composition(complement(composition(X_683,top)),top),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(X_683,top)))),top),composition(complement(composition(X_683,top)),top)) )],[refute_0_4291,refute_0_4297]) ).
cnf(refute_0_4299,plain,
join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))))]]) ).
cnf(refute_0_4300,plain,
( composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) != composition(complement(composition(X_683,top)),top)
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) != join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero)))
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(X_683,top)),top))]]) ).
cnf(refute_0_4301,plain,
( composition(converse(complement(converse(composition(X_683,top)))),complement(zero)) != composition(complement(composition(X_683,top)),top)
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero)))) )],[refute_0_4299,refute_0_4300]) ).
cnf(refute_0_4302,plain,
join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(X_683,top)))),complement(zero)),composition(complement(composition(X_683,top)),top)) )],[refute_0_4298,refute_0_4301]) ).
cnf(refute_0_4303,plain,
( join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)) != composition(complement(composition(X_683,top)),top)
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) != join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top))
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = composition(complement(composition(X_683,top)),top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))))),bind(Y,$fot(join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)))),bind(Z,$fot(composition(complement(composition(X_683,top)),top)))]]) ).
cnf(refute_0_4304,plain,
( join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)) != composition(complement(composition(X_683,top)),top)
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = composition(complement(composition(X_683,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top))) )],[refute_0_4302,refute_0_4303]) ).
cnf(refute_0_4305,plain,
join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) = composition(complement(composition(X_683,top)),top),
inference(resolve,[$cnf( $equal(join(complement(composition(X_683,top)),composition(complement(composition(X_683,top)),top)),composition(complement(composition(X_683,top)),top)) )],[refute_0_4286,refute_0_4304]) ).
cnf(refute_0_4306,plain,
( join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) != complement(composition(X_683,top))
| join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) != composition(complement(composition(X_683,top)),top)
| composition(complement(composition(X_683,top)),top) = complement(composition(X_683,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),complement(composition(X_683,top))) ),[0],$fot(composition(complement(composition(X_683,top)),top))]]) ).
cnf(refute_0_4307,plain,
( join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))) != complement(composition(X_683,top))
| composition(complement(composition(X_683,top)),top) = complement(composition(X_683,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),composition(complement(composition(X_683,top)),top)) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
composition(complement(composition(X_683,top)),top) = complement(composition(X_683,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_683,top)),composition(converse(complement(converse(composition(X_683,top)))),complement(zero))),complement(composition(X_683,top))) )],[refute_0_4139,refute_0_4307]) ).
cnf(refute_0_4309,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_4308:[bind(X_683,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4310,plain,
meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),
introduced(tautology,[refl,[$fot(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_4311,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_4312,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) )],[refute_0_4310,refute_0_4311]) ).
cnf(refute_0_4313,plain,
meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4309,refute_0_4312]) ).
cnf(refute_0_4314,plain,
complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),
introduced(tautology,[refl,[$fot(complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))]]) ).
cnf(refute_0_4315,plain,
( complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) != complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))
| meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) ),[1,0],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_4316,plain,
( meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) )],[refute_0_4314,refute_0_4315]) ).
cnf(refute_0_4317,plain,
complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_4313,refute_0_4316]) ).
cnf(refute_0_4318,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) != complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))
| complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))),bind(Y,$fot(complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(join(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_4319,plain,
( complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_4317,refute_0_4318]) ).
cnf(refute_0_4320,plain,
complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(composition(skolemFOFtoCNF_X0,top)))),join(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3626,refute_0_4319]) ).
cnf(refute_0_4321,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))))]]) ).
cnf(refute_0_4322,plain,
( complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))) ),[1,1],$fot(join(complement(one),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_4323,plain,
( complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))) )],[refute_0_4321,refute_0_4322]) ).
cnf(refute_0_4324,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) = meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),join(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_4320,refute_0_4323]) ).
cnf(refute_0_4325,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),skolemFOFtoCNF_X0) ),[0],$fot(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_4326,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_4324,refute_0_4325]) ).
cnf(refute_0_4327,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),skolemFOFtoCNF_X0) )],[refute_0_3625,refute_0_4326]) ).
cnf(refute_0_4328,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_39:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4329,plain,
converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_41:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4330,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3490:[bind(X_234,$fot(top)),bind(X_236,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4331,plain,
converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_41:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4332,plain,
composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3490:[bind(X_234,$fot(top)),bind(X_236,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4333,plain,
composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = join(composition(X_234,complement(converse(composition(top,X_235)))),composition(X_235,complement(converse(composition(top,X_235))))),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(X_234)),bind(X1,$fot(X_235)),bind(X2,$fot(complement(converse(composition(top,X_235)))))]]) ).
cnf(refute_0_4334,plain,
composition(X_235,complement(converse(composition(top,X_235)))) = zero,
inference(subst,[],[refute_0_3649:[bind(X0,$fot(X_235))]]) ).
cnf(refute_0_4335,plain,
( composition(X_235,complement(converse(composition(top,X_235)))) != zero
| composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) != join(composition(X_234,complement(converse(composition(top,X_235)))),composition(X_235,complement(converse(composition(top,X_235)))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = join(composition(X_234,complement(converse(composition(top,X_235)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_235)))),join(composition(X_234,complement(converse(composition(top,X_235)))),composition(X_235,complement(converse(composition(top,X_235)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4336,plain,
( composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) != join(composition(X_234,complement(converse(composition(top,X_235)))),composition(X_235,complement(converse(composition(top,X_235)))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = join(composition(X_234,complement(converse(composition(top,X_235)))),zero) ),
inference(resolve,[$cnf( $equal(composition(X_235,complement(converse(composition(top,X_235)))),zero) )],[refute_0_4334,refute_0_4335]) ).
cnf(refute_0_4337,plain,
composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = join(composition(X_234,complement(converse(composition(top,X_235)))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_235)))),join(composition(X_234,complement(converse(composition(top,X_235)))),composition(X_235,complement(converse(composition(top,X_235)))))) )],[refute_0_4333,refute_0_4336]) ).
cnf(refute_0_4338,plain,
join(zero,composition(X_234,complement(converse(composition(top,X_235))))) = composition(X_234,complement(converse(composition(top,X_235)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(X_234,complement(converse(composition(top,X_235))))))]]) ).
cnf(refute_0_4339,plain,
join(composition(X_234,complement(converse(composition(top,X_235)))),zero) = join(zero,composition(X_234,complement(converse(composition(top,X_235))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(zero)),bind(X_124,$fot(composition(X_234,complement(converse(composition(top,X_235))))))]]) ).
cnf(refute_0_4340,plain,
( join(composition(X_234,complement(converse(composition(top,X_235)))),zero) != join(zero,composition(X_234,complement(converse(composition(top,X_235)))))
| join(zero,composition(X_234,complement(converse(composition(top,X_235))))) != composition(X_234,complement(converse(composition(top,X_235))))
| join(composition(X_234,complement(converse(composition(top,X_235)))),zero) = composition(X_234,complement(converse(composition(top,X_235)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(X_234,complement(converse(composition(top,X_235)))),zero))),bind(Y,$fot(join(zero,composition(X_234,complement(converse(composition(top,X_235))))))),bind(Z,$fot(composition(X_234,complement(converse(composition(top,X_235))))))]]) ).
cnf(refute_0_4341,plain,
( join(zero,composition(X_234,complement(converse(composition(top,X_235))))) != composition(X_234,complement(converse(composition(top,X_235))))
| join(composition(X_234,complement(converse(composition(top,X_235)))),zero) = composition(X_234,complement(converse(composition(top,X_235)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_234,complement(converse(composition(top,X_235)))),zero),join(zero,composition(X_234,complement(converse(composition(top,X_235)))))) )],[refute_0_4339,refute_0_4340]) ).
cnf(refute_0_4342,plain,
join(composition(X_234,complement(converse(composition(top,X_235)))),zero) = composition(X_234,complement(converse(composition(top,X_235)))),
inference(resolve,[$cnf( $equal(join(zero,composition(X_234,complement(converse(composition(top,X_235))))),composition(X_234,complement(converse(composition(top,X_235))))) )],[refute_0_4338,refute_0_4341]) ).
cnf(refute_0_4343,plain,
( composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) != join(composition(X_234,complement(converse(composition(top,X_235)))),zero)
| join(composition(X_234,complement(converse(composition(top,X_235)))),zero) != composition(X_234,complement(converse(composition(top,X_235))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = composition(X_234,complement(converse(composition(top,X_235)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_235)))),composition(X_234,complement(converse(composition(top,X_235))))) ),[0],$fot(join(composition(X_234,complement(converse(composition(top,X_235)))),zero))]]) ).
cnf(refute_0_4344,plain,
( composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) != join(composition(X_234,complement(converse(composition(top,X_235)))),zero)
| composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = composition(X_234,complement(converse(composition(top,X_235)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_234,complement(converse(composition(top,X_235)))),zero),composition(X_234,complement(converse(composition(top,X_235))))) )],[refute_0_4342,refute_0_4343]) ).
cnf(refute_0_4345,plain,
composition(join(X_234,X_235),complement(converse(composition(top,X_235)))) = composition(X_234,complement(converse(composition(top,X_235)))),
inference(resolve,[$cnf( $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_235)))),join(composition(X_234,complement(converse(composition(top,X_235)))),zero)) )],[refute_0_4337,refute_0_4344]) ).
cnf(refute_0_4346,plain,
composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_4345:[bind(X_234,$fot(composition(top,skolemFOFtoCNF_X0))),bind(X_235,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4347,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_99,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4348,plain,
converse(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_43:[bind(X0,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4349,plain,
join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))) = complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_39:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4350,plain,
composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = join(composition(X_234,complement(converse(composition(top,X_234)))),composition(X_235,complement(converse(composition(top,X_234))))),
inference(subst,[],[refute_0_1261:[bind(X0,$fot(X_234)),bind(X1,$fot(X_235)),bind(X2,$fot(complement(converse(composition(top,X_234)))))]]) ).
cnf(refute_0_4351,plain,
composition(X_234,complement(converse(composition(top,X_234)))) = zero,
inference(subst,[],[refute_0_3649:[bind(X0,$fot(X_234))]]) ).
cnf(refute_0_4352,plain,
( composition(X_234,complement(converse(composition(top,X_234)))) != zero
| composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) != join(composition(X_234,complement(converse(composition(top,X_234)))),composition(X_235,complement(converse(composition(top,X_234)))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = join(zero,composition(X_235,complement(converse(composition(top,X_234))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_234)))),join(composition(X_234,complement(converse(composition(top,X_234)))),composition(X_235,complement(converse(composition(top,X_234)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4353,plain,
( composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) != join(composition(X_234,complement(converse(composition(top,X_234)))),composition(X_235,complement(converse(composition(top,X_234)))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = join(zero,composition(X_235,complement(converse(composition(top,X_234))))) ),
inference(resolve,[$cnf( $equal(composition(X_234,complement(converse(composition(top,X_234)))),zero) )],[refute_0_4351,refute_0_4352]) ).
cnf(refute_0_4354,plain,
composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = join(zero,composition(X_235,complement(converse(composition(top,X_234))))),
inference(resolve,[$cnf( $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_234)))),join(composition(X_234,complement(converse(composition(top,X_234)))),composition(X_235,complement(converse(composition(top,X_234)))))) )],[refute_0_4350,refute_0_4353]) ).
cnf(refute_0_4355,plain,
join(zero,composition(X_235,complement(converse(composition(top,X_234))))) = composition(X_235,complement(converse(composition(top,X_234)))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(X_235,complement(converse(composition(top,X_234))))))]]) ).
cnf(refute_0_4356,plain,
( composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) != join(zero,composition(X_235,complement(converse(composition(top,X_234)))))
| join(zero,composition(X_235,complement(converse(composition(top,X_234))))) != composition(X_235,complement(converse(composition(top,X_234))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = composition(X_235,complement(converse(composition(top,X_234)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_234)))),composition(X_235,complement(converse(composition(top,X_234))))) ),[0],$fot(join(zero,composition(X_235,complement(converse(composition(top,X_234))))))]]) ).
cnf(refute_0_4357,plain,
( composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) != join(zero,composition(X_235,complement(converse(composition(top,X_234)))))
| composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = composition(X_235,complement(converse(composition(top,X_234)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_235,complement(converse(composition(top,X_234))))),composition(X_235,complement(converse(composition(top,X_234))))) )],[refute_0_4355,refute_0_4356]) ).
cnf(refute_0_4358,plain,
composition(join(X_234,X_235),complement(converse(composition(top,X_234)))) = composition(X_235,complement(converse(composition(top,X_234)))),
inference(resolve,[$cnf( $equal(composition(join(X_234,X_235),complement(converse(composition(top,X_234)))),join(zero,composition(X_235,complement(converse(composition(top,X_234)))))) )],[refute_0_4354,refute_0_4357]) ).
cnf(refute_0_4359,plain,
composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4358:[bind(X_234,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_235,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4360,plain,
complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_83,$fot(one))]]) ).
cnf(refute_0_4361,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3031:[bind(X_15,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4362,plain,
meet(one,complement(composition(converse(complement(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = one,
inference(subst,[],[refute_0_1517:[bind(X_36,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4363,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,complement(composition(converse(complement(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) != one
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(converse(complement(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),one) ),[0,1,0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4364,plain,
( meet(one,complement(composition(converse(complement(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) != one
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_4363]) ).
cnf(refute_0_4365,plain,
meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(converse(complement(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),one) )],[refute_0_4362,refute_0_4364]) ).
cnf(refute_0_4366,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4367,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))
| composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4368,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_4366,refute_0_4367]) ).
cnf(refute_0_4369,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_4368]) ).
cnf(refute_0_4370,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4371,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))
| composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4372,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_4370,refute_0_4371]) ).
cnf(refute_0_4373,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_4369,refute_0_4372]) ).
cnf(refute_0_4374,plain,
meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4375,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4376,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4374,refute_0_4375]) ).
cnf(refute_0_4377,plain,
meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0)))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_4373,refute_0_4376]) ).
cnf(refute_0_4378,plain,
( meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) != one
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),one) ),[0],$fot(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4379,plain,
( meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))) != one
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4377,refute_0_4378]) ).
cnf(refute_0_4380,plain,
meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),complement(complement(skolemFOFtoCNF_X0))))),one) )],[refute_0_4365,refute_0_4379]) ).
cnf(refute_0_4381,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != one
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4382,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),one) )],[refute_0_4380,refute_0_4381]) ).
cnf(refute_0_4383,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_4361,refute_0_4382]) ).
cnf(refute_0_4384,plain,
composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4385,plain,
( composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(top,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4386,plain,
( join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_4384,refute_0_4385]) ).
cnf(refute_0_4387,plain,
composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_906,refute_0_4386]) ).
cnf(refute_0_4388,plain,
composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0) = composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_3736:[bind(X_236,$fot(skolemFOFtoCNF_X0)),bind(X_260,$fot(one)),bind(X_262,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4389,plain,
join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_3492:[bind(X_234,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_236,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4390,plain,
( composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0) != composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0))),bind(Z,$fot(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4391,plain,
( composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0) != composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0)) )],[refute_0_4389,refute_0_4390]) ).
cnf(refute_0_4392,plain,
join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(skolemFOFtoCNF_X0)),one),skolemFOFtoCNF_X0),composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_4388,refute_0_4391]) ).
cnf(refute_0_4393,plain,
( composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(top,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4394,plain,
( composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(top,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_4392,refute_0_4393]) ).
cnf(refute_0_4395,plain,
join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_4387,refute_0_4394]) ).
cnf(refute_0_4396,plain,
complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4397,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4398,plain,
( join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4396,refute_0_4397]) ).
cnf(refute_0_4399,plain,
complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_4395,refute_0_4398]) ).
cnf(refute_0_4400,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4401,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4402,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_4400,refute_0_4401]) ).
cnf(refute_0_4403,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4399,refute_0_4402]) ).
cnf(refute_0_4404,plain,
meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),X_180)),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4405,plain,
complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(complement(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(X_99,$fot(complement(one)))]]) ).
cnf(refute_0_4406,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1900:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_84,$fot(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4407,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4408,plain,
one = join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_4409,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(complement(one))),bind(X_121,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4410,plain,
complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2312:[bind(X_83,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4411,plain,
top = join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1983:[bind(X_139,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4412,plain,
join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one),
inference(subst,[],[refute_0_2407:[bind(X_299,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4413,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)
| top != join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| top = join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))]]) ).
cnf(refute_0_4414,plain,
( top != join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| top = join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) )],[refute_0_4412,refute_0_4413]) ).
cnf(refute_0_4415,plain,
top = join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one),
inference(resolve,[$cnf( $equal(top,join(one,join(converse(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4411,refute_0_4414]) ).
cnf(refute_0_4416,plain,
join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(X_26,join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(one)),bind(X_27,$fot(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_4417,plain,
join(one,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))))]]) ).
cnf(refute_0_4418,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,join(X_102,one)),meet(skolemFOFtoCNF_X0,complement(join(X_102,one)))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(join(X_102,one))),bind(X_83,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4419,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(X0,join(one,X_59))))]]) ).
cnf(refute_0_4420,plain,
join(X0,join(one,join(complement(skolemFOFtoCNF_X0),X_59))) = join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)),
inference(subst,[],[refute_0_123:[bind(X1,$fot(one)),bind(X2,$fot(join(complement(skolemFOFtoCNF_X0),X_59)))]]) ).
cnf(refute_0_4421,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X_59)) = top,
inference(subst,[],[refute_0_539:[bind(X2,$fot(X_59))]]) ).
cnf(refute_0_4422,plain,
( join(X0,join(one,join(complement(skolemFOFtoCNF_X0),X_59))) != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| join(one,join(complement(skolemFOFtoCNF_X0),X_59)) != top
| join(X0,top) = join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(complement(skolemFOFtoCNF_X0),X_59))),join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4423,plain,
( join(X0,join(one,join(complement(skolemFOFtoCNF_X0),X_59))) != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| join(X0,top) = join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X_59)),top) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
join(X0,top) = join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(complement(skolemFOFtoCNF_X0),X_59))),join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))) )],[refute_0_4420,refute_0_4423]) ).
cnf(refute_0_4425,plain,
join(X0,top) = top,
inference(subst,[],[refute_0_371:[bind(X_33,$fot(X0))]]) ).
cnf(refute_0_4426,plain,
( join(X0,top) != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| join(X0,top) != top
| top = join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,top),join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))) ),[0],$fot(top)]]) ).
cnf(refute_0_4427,plain,
( join(X0,top) != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| top = join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) ),
inference(resolve,[$cnf( $equal(join(X0,top),top) )],[refute_0_4425,refute_0_4426]) ).
cnf(refute_0_4428,plain,
join(join(X0,one),X_59) = join(X0,join(one,X_59)),
inference(subst,[],[refute_0_267:[bind(X1,$fot(one)),bind(X2,$fot(X_59))]]) ).
cnf(refute_0_4429,plain,
join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) = join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)))]]) ).
cnf(refute_0_4430,plain,
( join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) != join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59))
| join(join(X0,one),X_59) != join(X0,join(one,X_59))
| join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)),join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59))) ),[1,1],$fot(join(X0,join(one,X_59)))]]) ).
cnf(refute_0_4431,plain,
( join(join(X0,one),X_59) != join(X0,join(one,X_59))
| join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)),join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59))) )],[refute_0_4429,refute_0_4430]) ).
cnf(refute_0_4432,plain,
join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))),
inference(resolve,[$cnf( $equal(join(join(X0,one),X_59),join(X0,join(one,X_59))) )],[refute_0_4428,refute_0_4431]) ).
cnf(refute_0_4433,plain,
join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) = join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)),
inference(subst,[],[refute_0_462:[bind(X_25,$fot(complement(skolemFOFtoCNF_X0))),bind(X_26,$fot(join(X0,one))),bind(X_27,$fot(X_59))]]) ).
cnf(refute_0_4434,plain,
( join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))
| join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) != join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59))
| join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))))]]) ).
cnf(refute_0_4435,plain,
( join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)) != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))
| join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)),join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59))) )],[refute_0_4433,refute_0_4434]) ).
cnf(refute_0_4436,plain,
join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_59)),join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))) )],[refute_0_4432,refute_0_4435]) ).
cnf(refute_0_4437,plain,
( join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)) != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))
| top != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))))]]) ).
cnf(refute_0_4438,plain,
( top != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59)),join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))) )],[refute_0_4436,refute_0_4437]) ).
cnf(refute_0_4439,plain,
( join(X0,top) != join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))
| top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) ),
inference(resolve,[$cnf( $equal(top,join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))) )],[refute_0_4427,refute_0_4438]) ).
cnf(refute_0_4440,plain,
top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))),
inference(resolve,[$cnf( $equal(join(X0,top),join(join(X0,one),join(complement(skolemFOFtoCNF_X0),X_59))) )],[refute_0_4424,refute_0_4439]) ).
cnf(refute_0_4441,plain,
( top != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))
| join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))))]]) ).
cnf(refute_0_4442,plain,
join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))) )],[refute_0_4440,refute_0_4441]) ).
cnf(refute_0_4443,plain,
( join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))) != top
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))))
| skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_4444,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))))
| skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59))),top) )],[refute_0_4442,refute_0_4443]) ).
cnf(refute_0_4445,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_59)))))) )],[refute_0_4419,refute_0_4444]) ).
cnf(refute_0_4446,plain,
join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) = join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))))]]) ).
cnf(refute_0_4447,plain,
( complement(top) != zero
| join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) != join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4448,plain,
( complement(top) != zero
| join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) )],[refute_0_4446,refute_0_4447]) ).
cnf(refute_0_4449,plain,
join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_4448]) ).
cnf(refute_0_4450,plain,
join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) = join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))))]]) ).
cnf(refute_0_4451,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) != join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)))),bind(Y,$fot(join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))))]]) ).
cnf(refute_0_4452,plain,
( join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)),join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) )],[refute_0_4450,refute_0_4451]) ).
cnf(refute_0_4453,plain,
join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) )],[refute_0_4449,refute_0_4452]) ).
cnf(refute_0_4454,plain,
( join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)) != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top))
| skolemFOFtoCNF_X0 = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top))) ),[1],$fot(join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))))]]) ).
cnf(refute_0_4455,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top))
| skolemFOFtoCNF_X0 = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top)),join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) )],[refute_0_4453,refute_0_4454]) ).
cnf(refute_0_4456,plain,
skolemFOFtoCNF_X0 = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),complement(top))) )],[refute_0_4445,refute_0_4455]) ).
cnf(refute_0_4457,plain,
join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))))]]) ).
cnf(refute_0_4458,plain,
( join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) != meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))
| skolemFOFtoCNF_X0 != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))]]) ).
cnf(refute_0_4459,plain,
( skolemFOFtoCNF_X0 != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59)))) )],[refute_0_4457,refute_0_4458]) ).
cnf(refute_0_4460,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_59))))) )],[refute_0_4456,refute_0_4459]) ).
cnf(refute_0_4461,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_100,join(one,zero))),
inference(subst,[],[refute_0_4460:[bind(X0,$fot(X_100)),bind(X_59,$fot(zero))]]) ).
cnf(refute_0_4462,plain,
join(one,zero) = one,
inference(subst,[],[refute_0_940:[bind(X_85,$fot(one))]]) ).
cnf(refute_0_4463,plain,
( join(one,zero) != one
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_100,join(one,zero)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_100,one)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_100,join(one,zero)))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_4464,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_100,join(one,zero)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_100,one)) ),
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_4462,refute_0_4463]) ).
cnf(refute_0_4465,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_100,one)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_100,join(one,zero)))) )],[refute_0_4461,refute_0_4464]) ).
cnf(refute_0_4466,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_102,one)),
inference(subst,[],[refute_0_4465:[bind(X_100,$fot(X_102))]]) ).
cnf(refute_0_4467,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_102,one))
| meet(skolemFOFtoCNF_X0,join(X_102,one)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,join(X_102,one))))]]) ).
cnf(refute_0_4468,plain,
meet(skolemFOFtoCNF_X0,join(X_102,one)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_102,one))) )],[refute_0_4466,refute_0_4467]) ).
cnf(refute_0_4469,plain,
( meet(skolemFOFtoCNF_X0,join(X_102,one)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,join(X_102,one)),meet(skolemFOFtoCNF_X0,complement(join(X_102,one))))
| skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_102,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,join(X_102,one)),meet(skolemFOFtoCNF_X0,complement(join(X_102,one))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4470,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,join(X_102,one)),meet(skolemFOFtoCNF_X0,complement(join(X_102,one))))
| skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_102,one)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(X_102,one)),skolemFOFtoCNF_X0) )],[refute_0_4468,refute_0_4469]) ).
cnf(refute_0_4471,plain,
skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_102,one)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,join(X_102,one)),meet(skolemFOFtoCNF_X0,complement(join(X_102,one))))) )],[refute_0_4418,refute_0_4470]) ).
cnf(refute_0_4472,plain,
skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))),
inference(subst,[],[refute_0_4471:[bind(X_102,$fot(X_110))]]) ).
cnf(refute_0_4473,plain,
( skolemFOFtoCNF_X0 != join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))
| join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))))]]) ).
cnf(refute_0_4474,plain,
join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) )],[refute_0_4472,refute_0_4473]) ).
cnf(refute_0_4475,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) != join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))
| join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) != skolemFOFtoCNF_X0
| join(one,skolemFOFtoCNF_X0) = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))),join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4476,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) != join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))
| join(one,skolemFOFtoCNF_X0) = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))),skolemFOFtoCNF_X0) )],[refute_0_4474,refute_0_4475]) ).
cnf(refute_0_4477,plain,
join(one,skolemFOFtoCNF_X0) = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))),join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) )],[refute_0_4417,refute_0_4476]) ).
cnf(refute_0_4478,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))
| join(one,skolemFOFtoCNF_X0) != one
| one = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) ),[0],$fot(one)]]) ).
cnf(refute_0_4479,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_324,refute_0_4478]) ).
cnf(refute_0_4480,plain,
one = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one)))),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,meet(skolemFOFtoCNF_X0,complement(join(X_110,one))))) )],[refute_0_4477,refute_0_4479]) ).
cnf(refute_0_4481,plain,
one = join(one,meet(skolemFOFtoCNF_X0,complement(join(X_232,one)))),
inference(subst,[],[refute_0_4480:[bind(X_110,$fot(X_232))]]) ).
cnf(refute_0_4482,plain,
join(one,X_232) = join(X_232,one),
inference(subst,[],[refute_0_12:[bind(X0,$fot(one)),bind(X1,$fot(X_232))]]) ).
cnf(refute_0_4483,plain,
( join(one,X_232) != join(X_232,one)
| join(X_232,one) = join(one,X_232) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,X_232))),bind(Y,$fot(join(X_232,one)))]]) ).
cnf(refute_0_4484,plain,
join(X_232,one) = join(one,X_232),
inference(resolve,[$cnf( $equal(join(one,X_232),join(X_232,one)) )],[refute_0_4482,refute_0_4483]) ).
cnf(refute_0_4485,plain,
( join(X_232,one) != join(one,X_232)
| one != join(one,meet(skolemFOFtoCNF_X0,complement(join(X_232,one))))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(join(one,X_232)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(join(X_232,one))))) ),[1,1,1,0],$fot(join(one,X_232))]]) ).
cnf(refute_0_4486,plain,
( one != join(one,meet(skolemFOFtoCNF_X0,complement(join(X_232,one))))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(join(one,X_232)))) ),
inference(resolve,[$cnf( $equal(join(X_232,one),join(one,X_232)) )],[refute_0_4484,refute_0_4485]) ).
cnf(refute_0_4487,plain,
one = join(one,meet(skolemFOFtoCNF_X0,complement(join(one,X_232)))),
inference(resolve,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(join(X_232,one))))) )],[refute_0_4481,refute_0_4486]) ).
cnf(refute_0_4488,plain,
one = join(one,meet(skolemFOFtoCNF_X0,complement(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))))),
inference(subst,[],[refute_0_4487:[bind(X_232,$fot(complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_4489,plain,
complement(meet(complement(one),meet(one,converse(complement(one))))) = join(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(complement(meet(complement(one),meet(one,converse(complement(one))))))),bind(X_84,$fot(one))]]) ).
cnf(refute_0_4490,plain,
( complement(meet(complement(one),meet(one,converse(complement(one))))) != join(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))
| meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))) != one
| complement(meet(complement(one),meet(one,converse(complement(one))))) = join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(one),meet(one,converse(complement(one))))),join(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4491,plain,
( complement(meet(complement(one),meet(one,converse(complement(one))))) != join(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))
| complement(meet(complement(one),meet(one,converse(complement(one))))) = join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),one) )],[refute_0_653,refute_0_4490]) ).
cnf(refute_0_4492,plain,
complement(meet(complement(one),meet(one,converse(complement(one))))) = join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),
inference(resolve,[$cnf( $equal(complement(meet(complement(one),meet(one,converse(complement(one))))),join(meet(one,complement(meet(complement(one),meet(one,converse(complement(one)))))),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))) )],[refute_0_4489,refute_0_4491]) ).
cnf(refute_0_4493,plain,
complement(complement(meet(complement(one),meet(one,converse(complement(one)))))) = meet(complement(one),meet(one,converse(complement(one)))),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(meet(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_4494,plain,
join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_4495,plain,
( complement(complement(meet(complement(one),meet(one,converse(complement(one)))))) != meet(complement(one),meet(one,converse(complement(one))))
| join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) != join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))
| join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = join(one,meet(complement(one),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) ),[1,1],$fot(meet(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_4496,plain,
( complement(complement(meet(complement(one),meet(one,converse(complement(one)))))) != meet(complement(one),meet(one,converse(complement(one))))
| join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = join(one,meet(complement(one),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4494,refute_0_4495]) ).
cnf(refute_0_4497,plain,
join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = join(one,meet(complement(one),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_4493,refute_0_4496]) ).
cnf(refute_0_4498,plain,
join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) = join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_867:[bind(X_68,$fot(complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_4499,plain,
( join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) != join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))
| join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) != join(one,meet(complement(one),meet(one,converse(complement(one)))))
| join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) = join(one,meet(complement(one),meet(one,converse(complement(one))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),bind(Y,$fot(join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))),bind(Z,$fot(join(one,meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_4500,plain,
( join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) != join(one,meet(complement(one),meet(one,converse(complement(one)))))
| join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) = join(one,meet(complement(one),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one),join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4498,refute_0_4499]) ).
cnf(refute_0_4501,plain,
join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) = join(one,meet(complement(one),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(one,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),join(one,meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_4497,refute_0_4500]) ).
cnf(refute_0_4502,plain,
complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) = complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))]]) ).
cnf(refute_0_4503,plain,
( complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) != complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))
| join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) != join(one,meet(complement(one),meet(one,converse(complement(one)))))
| complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) = complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) ),[1,0],$fot(join(one,meet(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_4504,plain,
( join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one) != join(one,meet(complement(one),meet(one,converse(complement(one)))))
| complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) = complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)),complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) )],[refute_0_4502,refute_0_4503]) ).
cnf(refute_0_4505,plain,
complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) = complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one),join(one,meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_4501,refute_0_4504]) ).
cnf(refute_0_4506,plain,
join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) = join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),
introduced(tautology,[refl,[$fot(join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))))]]) ).
cnf(refute_0_4507,plain,
( complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) != complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))
| join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) != join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))
| join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) = join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))) ),[1,1],$fot(complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_4508,plain,
( complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)) != complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))
| join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) = join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))) )],[refute_0_4506,refute_0_4507]) ).
cnf(refute_0_4509,plain,
join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) = join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)),complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_4505,refute_0_4508]) ).
cnf(refute_0_4510,plain,
( complement(meet(complement(one),meet(one,converse(complement(one))))) != join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))
| join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))) != join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))
| complement(meet(complement(one),meet(one,converse(complement(one))))) = join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(one),meet(one,converse(complement(one))))),join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))) ),[0],$fot(join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))))]]) ).
cnf(refute_0_4511,plain,
( complement(meet(complement(one),meet(one,converse(complement(one))))) != join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))
| complement(meet(complement(one),meet(one,converse(complement(one))))) = join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one))),join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4509,refute_0_4510]) ).
cnf(refute_0_4512,plain,
complement(meet(complement(one),meet(one,converse(complement(one))))) = join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(one),meet(one,converse(complement(one))))),join(one,complement(join(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),one)))) )],[refute_0_4492,refute_0_4511]) ).
cnf(refute_0_4513,plain,
( complement(meet(complement(one),meet(one,converse(complement(one))))) != join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))
| join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) = complement(meet(complement(one),meet(one,converse(complement(one))))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(meet(complement(one),meet(one,converse(complement(one))))))),bind(Y,$fot(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_4514,plain,
join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) = complement(meet(complement(one),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(one),meet(one,converse(complement(one))))),join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4512,refute_0_4513]) ).
cnf(refute_0_4515,plain,
( join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))) != complement(meet(complement(one),meet(one,converse(complement(one)))))
| one != join(one,meet(skolemFOFtoCNF_X0,complement(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))))))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))))))) ),[1,1,1,0],$fot(complement(meet(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_4516,plain,
( one != join(one,meet(skolemFOFtoCNF_X0,complement(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))))))
| one = join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))),complement(meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_4514,refute_0_4515]) ).
cnf(refute_0_4517,plain,
one = join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))),
inference(resolve,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(join(one,complement(join(one,meet(complement(one),meet(one,converse(complement(one))))))))))) )],[refute_0_4488,refute_0_4516]) ).
cnf(refute_0_4518,plain,
meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_4519,plain,
( complement(complement(meet(complement(one),meet(one,converse(complement(one)))))) != meet(complement(one),meet(one,converse(complement(one))))
| meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) != meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))
| meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) ),[1,1],$fot(meet(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_4520,plain,
( complement(complement(meet(complement(one),meet(one,converse(complement(one)))))) != meet(complement(one),meet(one,converse(complement(one))))
| meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4518,refute_0_4519]) ).
cnf(refute_0_4521,plain,
meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) = meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(complement(one),meet(one,converse(complement(one)))))),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_4493,refute_0_4520]) ).
cnf(refute_0_4522,plain,
join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) = join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))),
introduced(tautology,[refl,[$fot(join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_4523,plain,
( join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) != join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))
| meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) != meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))
| join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) = join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))),join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_4524,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))) != meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))
| join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) = join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))),join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))) )],[refute_0_4522,refute_0_4523]) ).
cnf(refute_0_4525,plain,
join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) = join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))),meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_4521,refute_0_4524]) ).
cnf(refute_0_4526,plain,
( join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))) != join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))
| one != join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))
| one = join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))) ),[1],$fot(join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_4527,plain,
( one != join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))
| one = join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one)))))))),join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_4525,refute_0_4526]) ).
cnf(refute_0_4528,plain,
one = join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,complement(complement(meet(complement(one),meet(one,converse(complement(one))))))))) )],[refute_0_4517,refute_0_4527]) ).
cnf(refute_0_4529,plain,
( one != join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))
| join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_4530,plain,
join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_4528,refute_0_4529]) ).
cnf(refute_0_4531,plain,
( join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) != join(X_26,join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))
| join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) != one
| join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(X_26,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(X_26,join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4532,plain,
( join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) != join(X_26,join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))
| join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(X_26,one) ),
inference(resolve,[$cnf( $equal(join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),one) )],[refute_0_4530,refute_0_4531]) ).
cnf(refute_0_4533,plain,
join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(X_26,one),
inference(resolve,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(X_26,join(one,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4416,refute_0_4532]) ).
cnf(refute_0_4534,plain,
meet(skolemFOFtoCNF_X0,zero) = zero,
inference(subst,[],[refute_0_1257:[bind(X_14,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4535,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(complement(one),zero) != zero
| meet(complement(one),meet(one,converse(complement(one)))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(one),meet(one,converse(complement(one)))))),bind(Y,$fot(meet(complement(one),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4536,plain,
( meet(complement(one),zero) != zero
| meet(complement(one),meet(one,converse(complement(one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),zero)) )],[refute_0_2204,refute_0_4535]) ).
cnf(refute_0_4537,plain,
meet(complement(one),meet(one,converse(complement(one)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),zero),zero) )],[refute_0_2192,refute_0_4536]) ).
cnf(refute_0_4538,plain,
meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_4539,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != zero
| meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) != meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))
| meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = meet(skolemFOFtoCNF_X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))),meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4540,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != zero
| meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = meet(skolemFOFtoCNF_X0,zero) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))),meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) )],[refute_0_4538,refute_0_4539]) ).
cnf(refute_0_4541,plain,
meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = meet(skolemFOFtoCNF_X0,zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),zero) )],[refute_0_4537,refute_0_4540]) ).
cnf(refute_0_4542,plain,
( meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) != meet(skolemFOFtoCNF_X0,zero)
| meet(skolemFOFtoCNF_X0,zero) != zero
| meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4543,plain,
( meet(skolemFOFtoCNF_X0,zero) != zero
| meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = zero ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))),meet(skolemFOFtoCNF_X0,zero)) )],[refute_0_4541,refute_0_4542]) ).
cnf(refute_0_4544,plain,
meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,zero),zero) )],[refute_0_4534,refute_0_4543]) ).
cnf(refute_0_4545,plain,
join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_4546,plain,
( join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) != join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))
| meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) != zero
| join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = join(X_26,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4547,plain,
( meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))) != zero
| join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = join(X_26,zero) ),
inference(resolve,[$cnf( $equal(join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) )],[refute_0_4545,refute_0_4546]) ).
cnf(refute_0_4548,plain,
join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = join(X_26,zero),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))),zero) )],[refute_0_4544,refute_0_4547]) ).
cnf(refute_0_4549,plain,
( join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) != join(X_26,zero)
| join(X_26,zero) != X_26
| join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = X_26 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))),bind(Y,$fot(join(X_26,zero))),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_4550,plain,
( join(X_26,zero) != X_26
| join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = X_26 ),
inference(resolve,[$cnf( $equal(join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),join(X_26,zero)) )],[refute_0_4548,refute_0_4549]) ).
cnf(refute_0_4551,plain,
join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) = X_26,
inference(resolve,[$cnf( $equal(join(X_26,zero),X_26) )],[refute_0_1144,refute_0_4550]) ).
cnf(refute_0_4552,plain,
join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_4553,plain,
( join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) != X_26
| join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) != join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))
| join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(one,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_4554,plain,
( join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))) != X_26
| join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(one,X_26) ),
inference(resolve,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))))) )],[refute_0_4552,refute_0_4553]) ).
cnf(refute_0_4555,plain,
join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) = join(one,X_26),
inference(resolve,[$cnf( $equal(join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one)))))),X_26) )],[refute_0_4551,refute_0_4554]) ).
cnf(refute_0_4556,plain,
( join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) != join(X_26,one)
| join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) != join(one,X_26)
| join(one,X_26) = join(X_26,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(X_26,one)) ),[0],$fot(join(one,X_26))]]) ).
cnf(refute_0_4557,plain,
( join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))) != join(X_26,one)
| join(one,X_26) = join(X_26,one) ),
inference(resolve,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(one,X_26)) )],[refute_0_4555,refute_0_4556]) ).
cnf(refute_0_4558,plain,
join(one,X_26) = join(X_26,one),
inference(resolve,[$cnf( $equal(join(one,join(X_26,meet(skolemFOFtoCNF_X0,meet(complement(one),meet(one,converse(complement(one))))))),join(X_26,one)) )],[refute_0_4533,refute_0_4557]) ).
cnf(refute_0_4559,plain,
( join(one,X_26) != join(X_26,one)
| join(X_26,one) = join(one,X_26) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,X_26))),bind(Y,$fot(join(X_26,one)))]]) ).
cnf(refute_0_4560,plain,
join(X_26,one) = join(one,X_26),
inference(resolve,[$cnf( $equal(join(one,X_26),join(X_26,one)) )],[refute_0_4558,refute_0_4559]) ).
cnf(refute_0_4561,plain,
join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4560:[bind(X_26,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4562,plain,
( join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| top != join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)
| top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) ),[1],$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4563,plain,
( top != join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)
| top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4561,refute_0_4562]) ).
cnf(refute_0_4564,plain,
top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) )],[refute_0_4415,refute_0_4563]) ).
cnf(refute_0_4565,plain,
( top != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4566,plain,
join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4564,refute_0_4565]) ).
cnf(refute_0_4567,plain,
( complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != top
| complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4568,plain,
( complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_4566,refute_0_4567]) ).
cnf(refute_0_4569,plain,
complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4410,refute_0_4568]) ).
cnf(refute_0_4570,plain,
meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one)) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(one))),bind(X_15,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4571,plain,
complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one)),
inference(subst,[],[refute_0_4232:[bind(X_187,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_188,$fot(one))]]) ).
cnf(refute_0_4572,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one))
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one)) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one)))),bind(Z,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4573,plain,
( meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one)) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one))) )],[refute_0_4571,refute_0_4572]) ).
cnf(refute_0_4574,plain,
complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4570,refute_0_4573]) ).
cnf(refute_0_4575,plain,
( complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))),bind(Y,$fot(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4576,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4410,refute_0_4575]) ).
cnf(refute_0_4577,plain,
complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4574,refute_0_4576]) ).
cnf(refute_0_4578,plain,
( complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != complement(top)
| complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),complement(top)) ),[0],$fot(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4579,plain,
( complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != complement(top)
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4577,refute_0_4578]) ).
cnf(refute_0_4580,plain,
( complement(top) != zero
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(top)
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4581,plain,
( meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(top)
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_4580]) ).
cnf(refute_0_4582,plain,
( complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != complement(top)
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_4579,refute_0_4581]) ).
cnf(refute_0_4583,plain,
meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(complement(join(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),complement(top)) )],[refute_0_4569,refute_0_4582]) ).
cnf(refute_0_4584,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != zero
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4585,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_4583,refute_0_4584]) ).
cnf(refute_0_4586,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4409,refute_0_4585]) ).
cnf(refute_0_4587,plain,
meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4588,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4589,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4587,refute_0_4588]) ).
cnf(refute_0_4590,plain,
meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_650,refute_0_4589]) ).
cnf(refute_0_4591,plain,
join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4592,plain,
( join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4593,plain,
( meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4591,refute_0_4592]) ).
cnf(refute_0_4594,plain,
join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4590,refute_0_4593]) ).
cnf(refute_0_4595,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4596,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4594,refute_0_4595]) ).
cnf(refute_0_4597,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(zero,meet(complement(complement(one)),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4586,refute_0_4596]) ).
cnf(refute_0_4598,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4599,plain,
meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4597,refute_0_4598]) ).
cnf(refute_0_4600,plain,
( meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| one != join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))
| one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4601,plain,
( one != join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))
| one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_4599,refute_0_4600]) ).
cnf(refute_0_4602,plain,
one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) )],[refute_0_4408,refute_0_4601]) ).
cnf(refute_0_4603,plain,
meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) = meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4604,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))]]) ).
cnf(refute_0_4605,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))
| meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) != meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) ),[1,1],$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4606,plain,
( meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one) != meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) )],[refute_0_4604,refute_0_4605]) ).
cnf(refute_0_4607,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4603,refute_0_4606]) ).
cnf(refute_0_4608,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))))]]) ).
cnf(refute_0_4609,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4610,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))) )],[refute_0_4608,refute_0_4609]) ).
cnf(refute_0_4611,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4607,refute_0_4610]) ).
cnf(refute_0_4612,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))]]) ).
cnf(refute_0_4613,plain,
( join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4614,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)))) )],[refute_0_4612,refute_0_4613]) ).
cnf(refute_0_4615,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4611,refute_0_4614]) ).
cnf(refute_0_4616,plain,
( join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| one != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))
| one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) ),[1],$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4617,plain,
( one != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))
| one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one)),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4615,refute_0_4616]) ).
cnf(refute_0_4618,plain,
one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(one,join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),one))) )],[refute_0_4602,refute_0_4617]) ).
cnf(refute_0_4619,plain,
( one != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4620,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4618,refute_0_4619]) ).
cnf(refute_0_4621,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != one
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4622,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(one) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4620,refute_0_4621]) ).
cnf(refute_0_4623,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4407,refute_0_4622]) ).
cnf(refute_0_4624,plain,
converse(join(converse(X0),join(X_124,X_125))) = join(X0,converse(join(X_124,X_125))),
inference(subst,[],[refute_0_310:[bind(X_20,$fot(join(X_124,X_125)))]]) ).
cnf(refute_0_4625,plain,
join(converse(X0),join(X_124,X_125)) = join(X_124,join(converse(X0),X_125)),
inference(subst,[],[refute_0_460:[bind(X_25,$fot(converse(X0))),bind(X_26,$fot(X_124)),bind(X_27,$fot(X_125))]]) ).
cnf(refute_0_4626,plain,
( converse(join(converse(X0),join(X_124,X_125))) != join(X0,converse(join(X_124,X_125)))
| join(converse(X0),join(X_124,X_125)) != join(X_124,join(converse(X0),X_125))
| converse(join(X_124,join(converse(X0),X_125))) = join(X0,converse(join(X_124,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_124,X_125))),join(X0,converse(join(X_124,X_125)))) ),[0,0],$fot(join(X_124,join(converse(X0),X_125)))]]) ).
cnf(refute_0_4627,plain,
( converse(join(converse(X0),join(X_124,X_125))) != join(X0,converse(join(X_124,X_125)))
| converse(join(X_124,join(converse(X0),X_125))) = join(X0,converse(join(X_124,X_125))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_124,X_125)),join(X_124,join(converse(X0),X_125))) )],[refute_0_4625,refute_0_4626]) ).
cnf(refute_0_4628,plain,
converse(join(X_124,join(converse(X0),X_125))) = join(X0,converse(join(X_124,X_125))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_124,X_125))),join(X0,converse(join(X_124,X_125)))) )],[refute_0_4624,refute_0_4627]) ).
cnf(refute_0_4629,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_4628:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_124,$fot(skolemFOFtoCNF_X0)),bind(X_125,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4630,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4631,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4407,refute_0_4630]) ).
cnf(refute_0_4632,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4629,refute_0_4631]) ).
cnf(refute_0_4633,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(one)
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(one)) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4634,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(one)
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4632,refute_0_4633]) ).
cnf(refute_0_4635,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_4636,plain,
( join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_4635]) ).
cnf(refute_0_4637,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(one)
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(one)) )],[refute_0_4634,refute_0_4636]) ).
cnf(refute_0_4638,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(one)) )],[refute_0_4623,refute_0_4637]) ).
cnf(refute_0_4639,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != one
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_4640,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4638,refute_0_4639]) ).
cnf(refute_0_4641,plain,
complement(skolemFOFtoCNF_X0) = join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4406,refute_0_4640]) ).
cnf(refute_0_4642,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_4643,plain,
join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4641,refute_0_4642]) ).
cnf(refute_0_4644,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(complement(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(skolemFOFtoCNF_X0)
| complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(complement(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) ),[1,0,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4645,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(complement(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_4643,refute_0_4644]) ).
cnf(refute_0_4646,plain,
complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(complement(join(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) )],[refute_0_4405,refute_0_4645]) ).
cnf(refute_0_4647,plain,
join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,one),
inference(subst,[],[refute_0_4252:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_26,$fot(one)),bind(X_382,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4648,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,one)
| join(skolemFOFtoCNF_X0,one) != one
| join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4649,plain,
( join(skolemFOFtoCNF_X0,one) != one
| join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,one)) )],[refute_0_4647,refute_0_4648]) ).
cnf(refute_0_4650,plain,
join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) )],[refute_0_320,refute_0_4649]) ).
cnf(refute_0_4651,plain,
converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4652,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != one
| converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4653,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != one
| converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4651,refute_0_4652]) ).
cnf(refute_0_4654,plain,
converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4650,refute_0_4653]) ).
cnf(refute_0_4655,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(one)
| converse(one) != one
| converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4656,plain,
( converse(one) != one
| converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(one)) )],[refute_0_4654,refute_0_4655]) ).
cnf(refute_0_4657,plain,
converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_4656]) ).
cnf(refute_0_4658,plain,
converse(join(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),X_20)) = join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)),
inference(subst,[],[refute_0_310:[bind(X0,$fot(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))))]]) ).
cnf(refute_0_4659,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4660,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4661,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_1815,refute_0_4660]) ).
cnf(refute_0_4662,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_4659,refute_0_4661]) ).
cnf(refute_0_4663,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) = join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),
inference(subst,[],[refute_0_4662:[bind(X2,$fot(converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))))]]) ).
cnf(refute_0_4664,plain,
converse(join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top))) = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))),
inference(subst,[],[refute_0_310:[bind(X_20,$fot(composition(complement(composition(complement(converse(X0)),top)),top)))]]) ).
cnf(refute_0_4665,plain,
join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top)) = converse(X0),
inference(subst,[],[refute_0_3580:[bind(X_83,$fot(converse(X0)))]]) ).
cnf(refute_0_4666,plain,
( converse(join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top))) != join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))
| join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top)) != converse(X0)
| converse(converse(X0)) = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top))),join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_4667,plain,
( converse(join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top))) != join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))
| converse(converse(X0)) = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top)),converse(X0)) )],[refute_0_4665,refute_0_4666]) ).
cnf(refute_0_4668,plain,
converse(converse(X0)) = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(complement(composition(complement(converse(X0)),top)),top))),join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))) )],[refute_0_4664,refute_0_4667]) ).
cnf(refute_0_4669,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))
| X0 = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))) ),[0],$fot(X0)]]) ).
cnf(refute_0_4670,plain,
( converse(converse(X0)) != join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))
| X0 = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_43,refute_0_4669]) ).
cnf(refute_0_4671,plain,
X0 = join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(X0,converse(composition(complement(composition(complement(converse(X0)),top)),top)))) )],[refute_0_4668,refute_0_4670]) ).
cnf(refute_0_4672,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),
inference(subst,[],[refute_0_4671:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4673,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))))]]) ).
cnf(refute_0_4674,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4672,refute_0_4673]) ).
cnf(refute_0_4675,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))),join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) ),[0,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4676,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4674,refute_0_4675]) ).
cnf(refute_0_4677,plain,
join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))),join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4663,refute_0_4676]) ).
cnf(refute_0_4678,plain,
( join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| one = join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) ),[0],$fot(one)]]) ).
cnf(refute_0_4679,plain,
( join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| one = join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_1815,refute_0_4678]) ).
cnf(refute_0_4680,plain,
composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top) = converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4681,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_99,$fot(complement(one)))]]) ).
cnf(refute_0_4682,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(one)),bind(X_121,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4683,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4684,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2869,refute_0_4683]) ).
cnf(refute_0_4685,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4682,refute_0_4684]) ).
cnf(refute_0_4686,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2237:[bind(X_26,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4687,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4688,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(one)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4689,plain,
( meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(one)
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4687,refute_0_4688]) ).
cnf(refute_0_4690,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_950,refute_0_4689]) ).
cnf(refute_0_4691,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),bind(Z,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4692,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) )],[refute_0_4690,refute_0_4691]) ).
cnf(refute_0_4693,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4686,refute_0_4692]) ).
cnf(refute_0_4694,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4695,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4693,refute_0_4694]) ).
cnf(refute_0_4696,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4685,refute_0_4695]) ).
cnf(refute_0_4697,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4698,plain,
join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4696,refute_0_4697]) ).
cnf(refute_0_4699,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) ),[1,0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4700,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_4698,refute_0_4699]) ).
cnf(refute_0_4701,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4681,refute_0_4700]) ).
cnf(refute_0_4702,plain,
join(converse(skolemFOFtoCNF_X0),complement(one)) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2237:[bind(X_26,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4703,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(skolemFOFtoCNF_X0),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),complement(one)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),complement(one)))),bind(Y,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4704,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(skolemFOFtoCNF_X0),complement(one)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(one)),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_4702,refute_0_4703]) ).
cnf(refute_0_4705,plain,
join(converse(skolemFOFtoCNF_X0),complement(one)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1598,refute_0_4704]) ).
cnf(refute_0_4706,plain,
join(one,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(subst,[],[refute_0_1915:[bind(X_96,$fot(complement(skolemFOFtoCNF_X0))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_4707,plain,
converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4708,plain,
( converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4709,plain,
( join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4707,refute_0_4708]) ).
cnf(refute_0_4710,plain,
converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4706,refute_0_4709]) ).
cnf(refute_0_4711,plain,
( converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(one)
| converse(one) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4712,plain,
( converse(one) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(one)) )],[refute_0_4710,refute_0_4711]) ).
cnf(refute_0_4713,plain,
converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_4712]) ).
cnf(refute_0_4714,plain,
converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))]]) ).
cnf(refute_0_4715,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4716,plain,
( join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)),join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4717,plain,
( join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_2114,refute_0_4716]) ).
cnf(refute_0_4718,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)),join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_4715,refute_0_4717]) ).
cnf(refute_0_4719,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = join(one,X_326),
inference(subst,[],[refute_0_4718:[bind(X2,$fot(X_326))]]) ).
cnf(refute_0_4720,plain,
( converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) != join(one,X_326)
| converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = converse(join(one,X_326)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))) ),[1,0],$fot(join(one,X_326))]]) ).
cnf(refute_0_4721,plain,
( converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))
| converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = converse(join(one,X_326)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),join(one,X_326)) )],[refute_0_4719,refute_0_4720]) ).
cnf(refute_0_4722,plain,
converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = converse(join(one,X_326)),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))) )],[refute_0_4714,refute_0_4721]) ).
cnf(refute_0_4723,plain,
join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),
inference(subst,[],[refute_0_1350:[bind(X_26,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))))]]) ).
cnf(refute_0_4724,plain,
converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))]]) ).
cnf(refute_0_4725,plain,
( converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) != join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0)
| join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))
| converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))))]]) ).
cnf(refute_0_4726,plain,
( join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))
| converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))),join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0)) )],[refute_0_4724,refute_0_4725]) ).
cnf(refute_0_4727,plain,
converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),
inference(resolve,[$cnf( $equal(join(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))) )],[refute_0_4723,refute_0_4726]) ).
cnf(refute_0_4728,plain,
( converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) != converse(join(one,X_326))
| converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = converse(join(one,X_326)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))),converse(join(one,X_326))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))))]]) ).
cnf(refute_0_4729,plain,
( converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))) != converse(join(one,X_326))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = converse(join(one,X_326)) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))) )],[refute_0_4727,refute_0_4728]) ).
cnf(refute_0_4730,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = converse(join(one,X_326)),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),converse(skolemFOFtoCNF_X0))),converse(join(one,X_326))) )],[refute_0_4722,refute_0_4729]) ).
cnf(refute_0_4731,plain,
join(one,converse(X_326)) = converse(join(X_326,one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(X_326))]]) ).
cnf(refute_0_4732,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) = join(one,converse(X_326)),
inference(subst,[],[refute_0_4662:[bind(X2,$fot(converse(X_326)))]]) ).
cnf(refute_0_4733,plain,
( join(one,converse(X_326)) != converse(join(X_326,one))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) != join(one,converse(X_326))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) = converse(join(X_326,one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))))),bind(Y,$fot(join(one,converse(X_326)))),bind(Z,$fot(converse(join(X_326,one))))]]) ).
cnf(refute_0_4734,plain,
( join(one,converse(X_326)) != converse(join(X_326,one))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) = converse(join(X_326,one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))),join(one,converse(X_326))) )],[refute_0_4732,refute_0_4733]) ).
cnf(refute_0_4735,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) = converse(join(X_326,one)),
inference(resolve,[$cnf( $equal(join(one,converse(X_326)),converse(join(X_326,one))) )],[refute_0_4731,refute_0_4734]) ).
cnf(refute_0_4736,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)),
inference(subst,[],[refute_0_310:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_20,$fot(X_326))]]) ).
cnf(refute_0_4737,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))]]) ).
cnf(refute_0_4738,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4739,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) )],[refute_0_4737,refute_0_4738]) ).
cnf(refute_0_4740,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2869,refute_0_4739]) ).
cnf(refute_0_4741,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),
introduced(tautology,[refl,[$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))]]) ).
cnf(refute_0_4742,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) != converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) ),[1,0],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326))]]) ).
cnf(refute_0_4743,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) )],[refute_0_4741,refute_0_4742]) ).
cnf(refute_0_4744,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)) )],[refute_0_4740,refute_0_4743]) ).
cnf(refute_0_4745,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))),bind(Y,$fot(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))))]]) ).
cnf(refute_0_4746,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326))) )],[refute_0_4744,refute_0_4745]) ).
cnf(refute_0_4747,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),X_326)),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) )],[refute_0_4736,refute_0_4746]) ).
cnf(refute_0_4748,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))))]]) ).
cnf(refute_0_4749,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) != join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))) ),[1,1],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)))]]) ).
cnf(refute_0_4750,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)))) )],[refute_0_4748,refute_0_4749]) ).
cnf(refute_0_4751,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326)),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) )],[refute_0_4747,refute_0_4750]) ).
cnf(refute_0_4752,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) != join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) != converse(join(X_326,one))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = converse(join(X_326,one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))))),bind(Z,$fot(converse(join(X_326,one))))]]) ).
cnf(refute_0_4753,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))) != converse(join(X_326,one))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = converse(join(X_326,one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326)))) )],[refute_0_4751,refute_0_4752]) ).
cnf(refute_0_4754,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) = converse(join(X_326,one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(X_326))),converse(join(X_326,one))) )],[refute_0_4735,refute_0_4753]) ).
cnf(refute_0_4755,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) != converse(join(X_326,one))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) != converse(join(one,X_326))
| converse(join(X_326,one)) = converse(join(one,X_326)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),converse(join(one,X_326))) ),[0],$fot(converse(join(X_326,one)))]]) ).
cnf(refute_0_4756,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))) != converse(join(one,X_326))
| converse(join(X_326,one)) = converse(join(one,X_326)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),converse(join(X_326,one))) )],[refute_0_4754,refute_0_4755]) ).
cnf(refute_0_4757,plain,
converse(join(X_326,one)) = converse(join(one,X_326)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X_326))),converse(join(one,X_326))) )],[refute_0_4730,refute_0_4756]) ).
cnf(refute_0_4758,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one)) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4757:[bind(X_326,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4759,plain,
join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4760,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one)) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one))
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one)))),bind(Z,$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4761,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one)) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one))) )],[refute_0_4759,refute_0_4760]) ).
cnf(refute_0_4762,plain,
join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),one)),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4758,refute_0_4761]) ).
cnf(refute_0_4763,plain,
( converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != one
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4764,plain,
( converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != one
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4762,refute_0_4763]) ).
cnf(refute_0_4765,plain,
join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_4713,refute_0_4764]) ).
cnf(refute_0_4766,plain,
complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4767,plain,
( complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != one
| complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4768,plain,
( join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != one
| complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4766,refute_0_4767]) ).
cnf(refute_0_4769,plain,
complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_4765,refute_0_4768]) ).
cnf(refute_0_4770,plain,
complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) = complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2417:[bind(X2,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4771,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(one)),bind(X_83,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4772,plain,
( complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))),bind(Y,$fot(complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)))),bind(Z,$fot(complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4773,plain,
( complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)) != complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one))) )],[refute_0_4771,refute_0_4772]) ).
cnf(refute_0_4774,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),one)),complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4770,refute_0_4773]) ).
cnf(refute_0_4775,plain,
( complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(one)
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))),bind(Y,$fot(complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_4776,plain,
( complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(one)
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4774,refute_0_4775]) ).
cnf(refute_0_4777,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(one,converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_4769,refute_0_4776]) ).
cnf(refute_0_4778,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_4779,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != complement(one)
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4780,plain,
( meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != complement(one)
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4778,refute_0_4779]) ).
cnf(refute_0_4781,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),complement(one)) )],[refute_0_4777,refute_0_4780]) ).
cnf(refute_0_4782,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_4783,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4784,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4782,refute_0_4783]) ).
cnf(refute_0_4785,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_987,refute_0_4784]) ).
cnf(refute_0_4786,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != join(converse(skolemFOFtoCNF_X0),complement(one))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),complement(one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),complement(one))))]]) ).
cnf(refute_0_4787,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != join(converse(skolemFOFtoCNF_X0),complement(one))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4785,refute_0_4786]) ).
cnf(refute_0_4788,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = join(converse(skolemFOFtoCNF_X0),complement(one)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(converse(skolemFOFtoCNF_X0),complement(one))) )],[refute_0_4781,refute_0_4787]) ).
cnf(refute_0_4789,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != join(converse(skolemFOFtoCNF_X0),complement(one))
| join(converse(skolemFOFtoCNF_X0),complement(one)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),complement(one)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4790,plain,
( join(converse(skolemFOFtoCNF_X0),complement(one)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),join(converse(skolemFOFtoCNF_X0),complement(one))) )],[refute_0_4788,refute_0_4789]) ).
cnf(refute_0_4791,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(one)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4705,refute_0_4790]) ).
cnf(refute_0_4792,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),[0],$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_4793,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4791,refute_0_4792]) ).
cnf(refute_0_4794,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4701,refute_0_4793]) ).
cnf(refute_0_4795,plain,
composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))]]) ).
cnf(refute_0_4796,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4797,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) )],[refute_0_4795,refute_0_4796]) ).
cnf(refute_0_4798,plain,
composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4794,refute_0_4797]) ).
cnf(refute_0_4799,plain,
( composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top)
| composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top) != converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))
| composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))),bind(Y,$fot(composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top))),bind(Z,$fot(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_4800,plain,
( composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top) != converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))
| composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top)) )],[refute_0_4798,refute_0_4799]) ).
cnf(refute_0_4801,plain,
composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0,complement(one))),top),converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4680,refute_0_4800]) ).
cnf(refute_0_4802,plain,
complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) = complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)))]]) ).
cnf(refute_0_4803,plain,
( complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) != complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))
| composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))
| complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) = complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))) ),[1,0],$fot(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_4804,plain,
( composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))
| complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) = complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))) )],[refute_0_4802,refute_0_4803]) ).
cnf(refute_0_4805,plain,
complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) = complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4801,refute_0_4804]) ).
cnf(refute_0_4806,plain,
composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) = composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))]]) ).
cnf(refute_0_4807,plain,
( complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) != complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))))
| composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) != composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)
| composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) = composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) ),[1,0],$fot(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_4808,plain,
( complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) != complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))))
| composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) = composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) )],[refute_0_4806,refute_0_4807]) ).
cnf(refute_0_4809,plain,
composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) = composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_4805,refute_0_4808]) ).
cnf(refute_0_4810,plain,
join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) = join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)),
introduced(tautology,[refl,[$fot(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))]]) ).
cnf(refute_0_4811,plain,
( composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) != composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)
| join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) != join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))
| join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)),join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),[1,1],$fot(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))]]) ).
cnf(refute_0_4812,plain,
( composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top) != composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)
| join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)),join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) )],[refute_0_4810,refute_0_4811]) ).
cnf(refute_0_4813,plain,
join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) )],[refute_0_4809,refute_0_4812]) ).
cnf(refute_0_4814,plain,
converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),
introduced(tautology,[refl,[$fot(converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))))]]) ).
cnf(refute_0_4815,plain,
( converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) ),[1,0],$fot(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))]]) ).
cnf(refute_0_4816,plain,
( join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)) != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4814,refute_0_4815]) ).
cnf(refute_0_4817,plain,
converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),
inference(resolve,[$cnf( $equal(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)),join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) )],[refute_0_4813,refute_0_4816]) ).
cnf(refute_0_4818,plain,
converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one)) = converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),
inference(subst,[],[refute_0_4757:[bind(X_326,$fot(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))]]) ).
cnf(refute_0_4819,plain,
join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))]]) ).
cnf(refute_0_4820,plain,
( converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one)) != converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one))
| join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))))),bind(Y,$fot(converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one)))),bind(Z,$fot(converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))))]]) ).
cnf(refute_0_4821,plain,
( converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one)) != converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one))) )],[refute_0_4819,refute_0_4820]) ).
cnf(refute_0_4822,plain,
join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top),one)),converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4818,refute_0_4821]) ).
cnf(refute_0_4823,plain,
( converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))
| join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))))),bind(Y,$fot(converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))))),bind(Z,$fot(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))))]]) ).
cnf(refute_0_4824,plain,
( converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))
| join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
inference(resolve,[$cnf( $equal(join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4822,refute_0_4823]) ).
cnf(refute_0_4825,plain,
join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))) )],[refute_0_4817,refute_0_4824]) ).
cnf(refute_0_4826,plain,
( join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))) != converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))
| one != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| one = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) ),[1],$fot(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))))]]) ).
cnf(refute_0_4827,plain,
( one != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| one = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
inference(resolve,[$cnf( $equal(join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top))),converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))) )],[refute_0_4825,refute_0_4826]) ).
cnf(refute_0_4828,plain,
( join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))
| one = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4679,refute_0_4827]) ).
cnf(refute_0_4829,plain,
one = converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),join(one,converse(composition(complement(composition(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)),top)))) )],[refute_0_4677,refute_0_4828]) ).
cnf(refute_0_4830,plain,
( one != converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))
| converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))))]]) ).
cnf(refute_0_4831,plain,
converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))) )],[refute_0_4829,refute_0_4830]) ).
cnf(refute_0_4832,plain,
( converse(join(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),X_20)) != join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))
| converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) != one
| converse(join(one,X_20)) = join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),X_20)),join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_4833,plain,
( converse(join(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),X_20)) != join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))
| converse(join(one,X_20)) = join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),one) )],[refute_0_4831,refute_0_4832]) ).
cnf(refute_0_4834,plain,
converse(join(one,X_20)) = join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),X_20)),join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))) )],[refute_0_4658,refute_0_4833]) ).
cnf(refute_0_4835,plain,
join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(one)),bind(X1,$fot(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),bind(X2,$fot(converse(X_20)))]]) ).
cnf(refute_0_4836,plain,
( converse(join(one,X_20)) != join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))
| join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)) != join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20)))
| converse(join(one,X_20)) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_20)),join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20)))) ),[0],$fot(join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)))]]) ).
cnf(refute_0_4837,plain,
( converse(join(one,X_20)) != join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))
| converse(join(one,X_20)) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) ),
inference(resolve,[$cnf( $equal(join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20)),join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20)))) )],[refute_0_4835,refute_0_4836]) ).
cnf(refute_0_4838,plain,
converse(join(one,X_20)) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))),
inference(resolve,[$cnf( $equal(converse(join(one,X_20)),join(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),converse(X_20))) )],[refute_0_4834,refute_0_4837]) ).
cnf(refute_0_4839,plain,
join(one,converse(X_20)) = converse(join(X_20,one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(X_20))]]) ).
cnf(refute_0_4840,plain,
join(X0,join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),
inference(subst,[],[refute_0_421:[bind(X_25,$fot(one)),bind(X_26,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4841,plain,
join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(join(one,join(X_31,skolemFOFtoCNF_X0)),X2),
inference(subst,[],[refute_0_123:[bind(X0,$fot(one)),bind(X1,$fot(join(X_31,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4842,plain,
join(one,join(skolemFOFtoCNF_X0,X_28)) = join(one,X_28),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(X_28))]]) ).
cnf(refute_0_4843,plain,
join(X_28,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_28),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_28)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4844,plain,
( join(X_28,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_28)
| join(skolemFOFtoCNF_X0,X_28) = join(X_28,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_28,skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,X_28)))]]) ).
cnf(refute_0_4845,plain,
join(skolemFOFtoCNF_X0,X_28) = join(X_28,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(X_28,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_28)) )],[refute_0_4843,refute_0_4844]) ).
cnf(refute_0_4846,plain,
( join(one,join(skolemFOFtoCNF_X0,X_28)) != join(one,X_28)
| join(skolemFOFtoCNF_X0,X_28) != join(X_28,skolemFOFtoCNF_X0)
| join(one,join(X_28,skolemFOFtoCNF_X0)) = join(one,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_28)),join(one,X_28)) ),[0,1],$fot(join(X_28,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4847,plain,
( join(one,join(skolemFOFtoCNF_X0,X_28)) != join(one,X_28)
| join(one,join(X_28,skolemFOFtoCNF_X0)) = join(one,X_28) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_28),join(X_28,skolemFOFtoCNF_X0)) )],[refute_0_4845,refute_0_4846]) ).
cnf(refute_0_4848,plain,
join(one,join(X_28,skolemFOFtoCNF_X0)) = join(one,X_28),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_28)),join(one,X_28)) )],[refute_0_4842,refute_0_4847]) ).
cnf(refute_0_4849,plain,
join(one,join(X_31,skolemFOFtoCNF_X0)) = join(one,X_31),
inference(subst,[],[refute_0_4848:[bind(X_28,$fot(X_31))]]) ).
cnf(refute_0_4850,plain,
( join(one,join(X_31,skolemFOFtoCNF_X0)) != join(one,X_31)
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(join(one,join(X_31,skolemFOFtoCNF_X0)),X2)
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(join(one,X_31),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(join(one,join(X_31,skolemFOFtoCNF_X0)),X2)) ),[1,0],$fot(join(one,X_31))]]) ).
cnf(refute_0_4851,plain,
( join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(join(one,join(X_31,skolemFOFtoCNF_X0)),X2)
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(join(one,X_31),X2) ),
inference(resolve,[$cnf( $equal(join(one,join(X_31,skolemFOFtoCNF_X0)),join(one,X_31)) )],[refute_0_4849,refute_0_4850]) ).
cnf(refute_0_4852,plain,
join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(join(one,X_31),X2),
inference(resolve,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(join(one,join(X_31,skolemFOFtoCNF_X0)),X2)) )],[refute_0_4841,refute_0_4851]) ).
cnf(refute_0_4853,plain,
join(join(X_31,skolemFOFtoCNF_X0),X2) = join(X_31,join(skolemFOFtoCNF_X0,X2)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_31)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4854,plain,
join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),
introduced(tautology,[refl,[$fot(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_4855,plain,
( join(join(X_31,skolemFOFtoCNF_X0),X2) != join(X_31,join(skolemFOFtoCNF_X0,X2))
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(one,join(join(X_31,skolemFOFtoCNF_X0),X2))
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(one,join(join(X_31,skolemFOFtoCNF_X0),X2))) ),[1,1],$fot(join(X_31,join(skolemFOFtoCNF_X0,X2)))]]) ).
cnf(refute_0_4856,plain,
( join(join(X_31,skolemFOFtoCNF_X0),X2) != join(X_31,join(skolemFOFtoCNF_X0,X2))
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(one,join(join(X_31,skolemFOFtoCNF_X0),X2))) )],[refute_0_4854,refute_0_4855]) ).
cnf(refute_0_4857,plain,
join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) = join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))),
inference(resolve,[$cnf( $equal(join(join(X_31,skolemFOFtoCNF_X0),X2),join(X_31,join(skolemFOFtoCNF_X0,X2))) )],[refute_0_4853,refute_0_4856]) ).
cnf(refute_0_4858,plain,
( join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(join(one,X_31),X2)
| join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(one,join(X_31,join(skolemFOFtoCNF_X0,X2)))
| join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) = join(join(one,X_31),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(join(one,X_31),X2)) ),[0],$fot(join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))))]]) ).
cnf(refute_0_4859,plain,
( join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(join(one,X_31),X2)
| join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) = join(join(one,X_31),X2) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(one,join(X_31,join(skolemFOFtoCNF_X0,X2)))) )],[refute_0_4857,refute_0_4858]) ).
cnf(refute_0_4860,plain,
join(join(one,X_31),X2) = join(one,join(X_31,X2)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(one)),bind(X1,$fot(X_31))]]) ).
cnf(refute_0_4861,plain,
( join(join(one,X_31),X2) != join(one,join(X_31,X2))
| join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) != join(join(one,X_31),X2)
| join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) = join(one,join(X_31,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))),join(join(one,X_31),X2)) ),[1],$fot(join(one,join(X_31,X2)))]]) ).
cnf(refute_0_4862,plain,
( join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) != join(join(one,X_31),X2)
| join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) = join(one,join(X_31,X2)) ),
inference(resolve,[$cnf( $equal(join(join(one,X_31),X2),join(one,join(X_31,X2))) )],[refute_0_4860,refute_0_4861]) ).
cnf(refute_0_4863,plain,
( join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)) != join(join(one,X_31),X2)
| join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) = join(one,join(X_31,X2)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))),join(join(one,X_31),X2)) )],[refute_0_4859,refute_0_4862]) ).
cnf(refute_0_4864,plain,
join(one,join(X_31,join(skolemFOFtoCNF_X0,X2))) = join(one,join(X_31,X2)),
inference(resolve,[$cnf( $equal(join(one,join(join(X_31,skolemFOFtoCNF_X0),X2)),join(join(one,X_31),X2)) )],[refute_0_4852,refute_0_4863]) ).
cnf(refute_0_4865,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4864:[bind(X2,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_31,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4866,plain,
one = join(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_97,$fot(one))]]) ).
cnf(refute_0_4867,plain,
complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_99,$fot(one))]]) ).
cnf(refute_0_4868,plain,
join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(one,join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_4864:[bind(X2,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_31,$fot(complement(one)))]]) ).
cnf(refute_0_4869,plain,
( join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(one,join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(one,join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4870,plain,
( join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(one,join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2141,refute_0_4869]) ).
cnf(refute_0_4871,plain,
join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(one,join(complement(one),meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4868,refute_0_4870]) ).
cnf(refute_0_4872,plain,
join(X_25,join(complement(X_25),join(X_261,X_262))) = top,
inference(subst,[],[refute_0_2009:[bind(X_27,$fot(join(X_261,X_262)))]]) ).
cnf(refute_0_4873,plain,
join(complement(X_25),join(X_261,X_262)) = join(X_261,join(X_262,complement(X_25))),
inference(subst,[],[refute_0_421:[bind(X0,$fot(complement(X_25))),bind(X_25,$fot(X_261)),bind(X_26,$fot(X_262))]]) ).
cnf(refute_0_4874,plain,
( join(X_25,join(complement(X_25),join(X_261,X_262))) != top
| join(complement(X_25),join(X_261,X_262)) != join(X_261,join(X_262,complement(X_25)))
| join(X_25,join(X_261,join(X_262,complement(X_25)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,join(complement(X_25),join(X_261,X_262))),top) ),[0,1],$fot(join(X_261,join(X_262,complement(X_25))))]]) ).
cnf(refute_0_4875,plain,
( join(X_25,join(complement(X_25),join(X_261,X_262))) != top
| join(X_25,join(X_261,join(X_262,complement(X_25)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_25),join(X_261,X_262)),join(X_261,join(X_262,complement(X_25)))) )],[refute_0_4873,refute_0_4874]) ).
cnf(refute_0_4876,plain,
join(X_25,join(X_261,join(X_262,complement(X_25)))) = top,
inference(resolve,[$cnf( $equal(join(X_25,join(complement(X_25),join(X_261,X_262))),top) )],[refute_0_4872,refute_0_4875]) ).
cnf(refute_0_4877,plain,
join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one)))) = top,
inference(subst,[],[refute_0_4876:[bind(X_25,$fot(one)),bind(X_261,$fot(skolemFOFtoCNF_X0)),bind(X_262,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4878,plain,
join(X0,join(X1,join(X_261,X_262))) = join(join(X0,X1),join(X_261,X_262)),
inference(subst,[],[refute_0_123:[bind(X2,$fot(join(X_261,X_262)))]]) ).
cnf(refute_0_4879,plain,
join(X1,join(X_261,X_262)) = join(X_261,join(X_262,X1)),
inference(subst,[],[refute_0_421:[bind(X0,$fot(X1)),bind(X_25,$fot(X_261)),bind(X_26,$fot(X_262))]]) ).
cnf(refute_0_4880,plain,
( join(X0,join(X1,join(X_261,X_262))) != join(join(X0,X1),join(X_261,X_262))
| join(X1,join(X_261,X_262)) != join(X_261,join(X_262,X1))
| join(X0,join(X_261,join(X_262,X1))) = join(join(X0,X1),join(X_261,X_262)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_261,X_262))),join(join(X0,X1),join(X_261,X_262))) ),[0,1],$fot(join(X_261,join(X_262,X1)))]]) ).
cnf(refute_0_4881,plain,
( join(X0,join(X1,join(X_261,X_262))) != join(join(X0,X1),join(X_261,X_262))
| join(X0,join(X_261,join(X_262,X1))) = join(join(X0,X1),join(X_261,X_262)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_261,X_262)),join(X_261,join(X_262,X1))) )],[refute_0_4879,refute_0_4880]) ).
cnf(refute_0_4882,plain,
join(X0,join(X_261,join(X_262,X1))) = join(join(X0,X1),join(X_261,X_262)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,X_262))),join(join(X0,X1),join(X_261,X_262))) )],[refute_0_4878,refute_0_4881]) ).
cnf(refute_0_4883,plain,
join(join(X0,X1),join(X_261,X_262)) = join(X0,join(X1,join(X_261,X_262))),
inference(subst,[],[refute_0_267:[bind(X2,$fot(join(X_261,X_262)))]]) ).
cnf(refute_0_4884,plain,
( join(X0,join(X_261,join(X_262,X1))) != join(join(X0,X1),join(X_261,X_262))
| join(join(X0,X1),join(X_261,X_262)) != join(X0,join(X1,join(X_261,X_262)))
| join(X0,join(X_261,join(X_262,X1))) = join(X0,join(X1,join(X_261,X_262))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_261,join(X_262,X1))),join(X0,join(X1,join(X_261,X_262)))) ),[0],$fot(join(join(X0,X1),join(X_261,X_262)))]]) ).
cnf(refute_0_4885,plain,
( join(X0,join(X_261,join(X_262,X1))) != join(join(X0,X1),join(X_261,X_262))
| join(X0,join(X_261,join(X_262,X1))) = join(X0,join(X1,join(X_261,X_262))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_261,X_262)),join(X0,join(X1,join(X_261,X_262)))) )],[refute_0_4883,refute_0_4884]) ).
cnf(refute_0_4886,plain,
join(X0,join(X_261,join(X_262,X1))) = join(X0,join(X1,join(X_261,X_262))),
inference(resolve,[$cnf( $equal(join(X0,join(X_261,join(X_262,X1))),join(join(X0,X1),join(X_261,X_262))) )],[refute_0_4882,refute_0_4885]) ).
cnf(refute_0_4887,plain,
( join(X0,join(X_261,join(X_262,X1))) != join(X0,join(X1,join(X_261,X_262)))
| join(X0,join(X1,join(X_261,X_262))) = join(X0,join(X_261,join(X_262,X1))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X_261,join(X_262,X1))))),bind(Y,$fot(join(X0,join(X1,join(X_261,X_262)))))]]) ).
cnf(refute_0_4888,plain,
join(X0,join(X1,join(X_261,X_262))) = join(X0,join(X_261,join(X_262,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X_261,join(X_262,X1))),join(X0,join(X1,join(X_261,X_262)))) )],[refute_0_4886,refute_0_4887]) ).
cnf(refute_0_4889,plain,
join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one)))),
inference(subst,[],[refute_0_4888:[bind(X0,$fot(one)),bind(X1,$fot(complement(one))),bind(X_261,$fot(skolemFOFtoCNF_X0)),bind(X_262,$fot(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4890,plain,
( join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one))))
| join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one)))) != top
| join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = top ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4891,plain,
( join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one)))) != top
| join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one))))) )],[refute_0_4889,refute_0_4890]) ).
cnf(refute_0_4892,plain,
join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = top,
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(one)))),top) )],[refute_0_4877,refute_0_4891]) ).
cnf(refute_0_4893,plain,
( join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != top
| top = join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4894,plain,
( join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| top = join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),top) )],[refute_0_4892,refute_0_4893]) ).
cnf(refute_0_4895,plain,
top = join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4871,refute_0_4894]) ).
cnf(refute_0_4896,plain,
( top != join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4897,plain,
join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4895,refute_0_4896]) ).
cnf(refute_0_4898,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != top
| complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4899,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),top) )],[refute_0_4897,refute_0_4898]) ).
cnf(refute_0_4900,plain,
complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(join(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_4867,refute_0_4899]) ).
cnf(refute_0_4901,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) ),[0],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4902,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2430,refute_0_4901]) ).
cnf(refute_0_4903,plain,
join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4904,plain,
meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4905,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4906,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4904,refute_0_4905]) ).
cnf(refute_0_4907,plain,
meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2430,refute_0_4906]) ).
cnf(refute_0_4908,plain,
meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) = meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4909,plain,
( meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) != meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),bind(Y,$fot(meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4910,plain,
( meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one),meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4908,refute_0_4909]) ).
cnf(refute_0_4911,plain,
meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4907,refute_0_4910]) ).
cnf(refute_0_4912,plain,
join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))]]) ).
cnf(refute_0_4913,plain,
( join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) ),[1,1],$fot(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4914,plain,
( meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_4912,refute_0_4913]) ).
cnf(refute_0_4915,plain,
join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one),meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4911,refute_0_4914]) ).
cnf(refute_0_4916,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))]]) ).
cnf(refute_0_4917,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4918,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_4916,refute_0_4917]) ).
cnf(refute_0_4919,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_4918]) ).
cnf(refute_0_4920,plain,
( join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))),bind(Y,$fot(join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))),bind(Z,$fot(join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4921,plain,
( join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_4919,refute_0_4920]) ).
cnf(refute_0_4922,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4915,refute_0_4921]) ).
cnf(refute_0_4923,plain,
( join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))),bind(Y,$fot(join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4924,plain,
( join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4922,refute_0_4923]) ).
cnf(refute_0_4925,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4903,refute_0_4924]) ).
cnf(refute_0_4926,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)))]]) ).
cnf(refute_0_4927,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one)),meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4925,refute_0_4926]) ).
cnf(refute_0_4928,plain,
( complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_4902,refute_0_4927]) ).
cnf(refute_0_4929,plain,
converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) )],[refute_0_4900,refute_0_4928]) ).
cnf(refute_0_4930,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4931,plain,
meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4929,refute_0_4930]) ).
cnf(refute_0_4932,plain,
( meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| one != join(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) ),[1,0],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4933,plain,
( one != join(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4931,refute_0_4932]) ).
cnf(refute_0_4934,plain,
one = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_4866,refute_0_4933]) ).
cnf(refute_0_4935,plain,
meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) = meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4936,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)))]]) ).
cnf(refute_0_4937,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))
| meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) != meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) ),[1,1],$fot(meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4938,plain,
( meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) != meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_4936,refute_0_4937]) ).
cnf(refute_0_4939,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4935,refute_0_4938]) ).
cnf(refute_0_4940,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) ),[1],$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4941,plain,
( one != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one)),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4939,refute_0_4940]) ).
cnf(refute_0_4942,plain,
one = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(one,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_4934,refute_0_4941]) ).
cnf(refute_0_4943,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(X_124,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4944,plain,
meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4945,plain,
( join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4946,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2534,refute_0_4945]) ).
cnf(refute_0_4947,plain,
join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2444,refute_0_4946]) ).
cnf(refute_0_4948,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4949,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4947,refute_0_4948]) ).
cnf(refute_0_4950,plain,
meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4944,refute_0_4949]) ).
cnf(refute_0_4951,plain,
( join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4952,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2444,refute_0_4951]) ).
cnf(refute_0_4953,plain,
meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(join(complement(skolemFOFtoCNF_X0),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4944,refute_0_4952]) ).
cnf(refute_0_4954,plain,
complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(one)),bind(X_180,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4955,plain,
( complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4956,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4954,refute_0_4955]) ).
cnf(refute_0_4957,plain,
meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4953,refute_0_4956]) ).
cnf(refute_0_4958,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4959,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4957,refute_0_4958]) ).
cnf(refute_0_4960,plain,
meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4950,refute_0_4959]) ).
cnf(refute_0_4961,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4962,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4963,plain,
( meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4960,refute_0_4963]) ).
cnf(refute_0_4965,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4966,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4964,refute_0_4965]) ).
cnf(refute_0_4967,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4943,refute_0_4966]) ).
cnf(refute_0_4968,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| one != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4969,plain,
( one != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4967,refute_0_4968]) ).
cnf(refute_0_4970,plain,
one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4942,refute_0_4969]) ).
cnf(refute_0_4971,plain,
( one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4972,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4970,refute_0_4971]) ).
cnf(refute_0_4973,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4974,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_4972,refute_0_4973]) ).
cnf(refute_0_4975,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,one),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4865,refute_0_4974]) ).
cnf(refute_0_4976,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4560:[bind(X_26,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4977,plain,
join(one,join(X_214,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4864:[bind(X2,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_31,$fot(X_214))]]) ).
cnf(refute_0_4978,plain,
( join(one,join(X_214,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| join(one,join(X_214,one)) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_214,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_4979,plain,
( join(one,join(X_214,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(X_214,one)) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_2128,refute_0_4978]) ).
cnf(refute_0_4980,plain,
join(one,join(X_214,one)) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(X_214,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4977,refute_0_4979]) ).
cnf(refute_0_4981,plain,
( join(X_123,X_125) != join(X_125,join(X_123,X_125))
| join(X_125,join(X_123,X_125)) = join(X_123,X_125) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_123,X_125))),bind(Y,$fot(join(X_125,join(X_123,X_125))))]]) ).
cnf(refute_0_4982,plain,
join(X_125,join(X_123,X_125)) = join(X_123,X_125),
inference(resolve,[$cnf( $equal(join(X_123,X_125),join(X_125,join(X_123,X_125))) )],[refute_0_2244,refute_0_4981]) ).
cnf(refute_0_4983,plain,
join(one,join(X_214,one)) = join(X_214,one),
inference(subst,[],[refute_0_4982:[bind(X_123,$fot(X_214)),bind(X_125,$fot(one))]]) ).
cnf(refute_0_4984,plain,
( join(one,join(X_214,one)) != join(X_214,one)
| join(one,join(X_214,one)) != join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(X_214,one) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_214,one)),join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(X_214,one))]]) ).
cnf(refute_0_4985,plain,
( join(one,join(X_214,one)) != join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(X_214,one) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_214,one)),join(X_214,one)) )],[refute_0_4983,refute_0_4984]) ).
cnf(refute_0_4986,plain,
join(X_214,one) = join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(X_214,one)),join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4980,refute_0_4985]) ).
cnf(refute_0_4987,plain,
( join(X_214,one) != join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(X_214,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_214,one))),bind(Y,$fot(join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4988,plain,
join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(X_214,one),
inference(resolve,[$cnf( $equal(join(X_214,one),join(one,join(X_214,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4986,refute_0_4987]) ).
cnf(refute_0_4989,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one),
inference(subst,[],[refute_0_4988:[bind(X_214,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4990,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one)
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one))),bind(Z,$fot(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4991,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one)) )],[refute_0_4989,refute_0_4990]) ).
cnf(refute_0_4992,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one),join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4976,refute_0_4991]) ).
cnf(refute_0_4993,plain,
join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4994,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4995,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4993,refute_0_4994]) ).
cnf(refute_0_4996,plain,
join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4992,refute_0_4995]) ).
cnf(refute_0_4997,plain,
join(one,join(converse(X_298),join(X_25,X_27))) = join(join(X_25,X_27),converse(join(one,X_298))),
inference(subst,[],[refute_0_2396:[bind(X_21,$fot(X_298)),bind(X_68,$fot(join(X_25,X_27)))]]) ).
cnf(refute_0_4998,plain,
join(X_25,join(converse(X_298),X_27)) = join(converse(X_298),join(X_25,X_27)),
inference(subst,[],[refute_0_460:[bind(X_26,$fot(converse(X_298)))]]) ).
cnf(refute_0_4999,plain,
( join(X_25,join(converse(X_298),X_27)) != join(converse(X_298),join(X_25,X_27))
| join(converse(X_298),join(X_25,X_27)) = join(X_25,join(converse(X_298),X_27)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_25,join(converse(X_298),X_27)))),bind(Y,$fot(join(converse(X_298),join(X_25,X_27))))]]) ).
cnf(refute_0_5000,plain,
join(converse(X_298),join(X_25,X_27)) = join(X_25,join(converse(X_298),X_27)),
inference(resolve,[$cnf( $equal(join(X_25,join(converse(X_298),X_27)),join(converse(X_298),join(X_25,X_27))) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
( join(converse(X_298),join(X_25,X_27)) != join(X_25,join(converse(X_298),X_27))
| join(one,join(converse(X_298),join(X_25,X_27))) != join(join(X_25,X_27),converse(join(one,X_298)))
| join(one,join(X_25,join(converse(X_298),X_27))) = join(join(X_25,X_27),converse(join(one,X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_298),join(X_25,X_27))),join(join(X_25,X_27),converse(join(one,X_298)))) ),[0,1],$fot(join(X_25,join(converse(X_298),X_27)))]]) ).
cnf(refute_0_5002,plain,
( join(one,join(converse(X_298),join(X_25,X_27))) != join(join(X_25,X_27),converse(join(one,X_298)))
| join(one,join(X_25,join(converse(X_298),X_27))) = join(join(X_25,X_27),converse(join(one,X_298))) ),
inference(resolve,[$cnf( $equal(join(converse(X_298),join(X_25,X_27)),join(X_25,join(converse(X_298),X_27))) )],[refute_0_5000,refute_0_5001]) ).
cnf(refute_0_5003,plain,
join(one,join(X_25,join(converse(X_298),X_27))) = join(join(X_25,X_27),converse(join(one,X_298))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_298),join(X_25,X_27))),join(join(X_25,X_27),converse(join(one,X_298)))) )],[refute_0_4997,refute_0_5002]) ).
cnf(refute_0_5004,plain,
join(join(X_25,X_27),converse(X_298)) = join(X_25,join(X_27,converse(X_298))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_25)),bind(X1,$fot(X_27)),bind(X2,$fot(converse(X_298)))]]) ).
cnf(refute_0_5005,plain,
join(one,join(join(X_25,X_27),converse(X_298))) = join(one,join(join(X_25,X_27),converse(X_298))),
introduced(tautology,[refl,[$fot(join(one,join(join(X_25,X_27),converse(X_298))))]]) ).
cnf(refute_0_5006,plain,
( join(join(X_25,X_27),converse(X_298)) != join(X_25,join(X_27,converse(X_298)))
| join(one,join(join(X_25,X_27),converse(X_298))) != join(one,join(join(X_25,X_27),converse(X_298)))
| join(one,join(join(X_25,X_27),converse(X_298))) = join(one,join(X_25,join(X_27,converse(X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_25,X_27),converse(X_298))),join(one,join(join(X_25,X_27),converse(X_298)))) ),[1,1],$fot(join(X_25,join(X_27,converse(X_298))))]]) ).
cnf(refute_0_5007,plain,
( join(join(X_25,X_27),converse(X_298)) != join(X_25,join(X_27,converse(X_298)))
| join(one,join(join(X_25,X_27),converse(X_298))) = join(one,join(X_25,join(X_27,converse(X_298)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_25,X_27),converse(X_298))),join(one,join(join(X_25,X_27),converse(X_298)))) )],[refute_0_5005,refute_0_5006]) ).
cnf(refute_0_5008,plain,
join(one,join(join(X_25,X_27),converse(X_298))) = join(one,join(X_25,join(X_27,converse(X_298)))),
inference(resolve,[$cnf( $equal(join(join(X_25,X_27),converse(X_298)),join(X_25,join(X_27,converse(X_298)))) )],[refute_0_5004,refute_0_5007]) ).
cnf(refute_0_5009,plain,
converse(join(join(converse(X_298),X_299),one)) = converse(join(one,join(converse(X_298),X_299))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(one)),bind(X_20,$fot(join(converse(X_298),X_299)))]]) ).
cnf(refute_0_5010,plain,
join(one,join(converse(X_298),X_299)) = join(X_299,converse(join(one,X_298))),
inference(subst,[],[refute_0_2396:[bind(X_21,$fot(X_298)),bind(X_68,$fot(X_299))]]) ).
cnf(refute_0_5011,plain,
( converse(join(join(converse(X_298),X_299),one)) != converse(join(one,join(converse(X_298),X_299)))
| join(one,join(converse(X_298),X_299)) != join(X_299,converse(join(one,X_298)))
| converse(join(join(converse(X_298),X_299),one)) = converse(join(X_299,converse(join(one,X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(X_298),X_299),one)),converse(join(one,join(converse(X_298),X_299)))) ),[1,0],$fot(join(X_299,converse(join(one,X_298))))]]) ).
cnf(refute_0_5012,plain,
( converse(join(join(converse(X_298),X_299),one)) != converse(join(one,join(converse(X_298),X_299)))
| converse(join(join(converse(X_298),X_299),one)) = converse(join(X_299,converse(join(one,X_298)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_298),X_299)),join(X_299,converse(join(one,X_298)))) )],[refute_0_5010,refute_0_5011]) ).
cnf(refute_0_5013,plain,
converse(join(join(converse(X_298),X_299),one)) = converse(join(X_299,converse(join(one,X_298)))),
inference(resolve,[$cnf( $equal(converse(join(join(converse(X_298),X_299),one)),converse(join(one,join(converse(X_298),X_299)))) )],[refute_0_5009,refute_0_5012]) ).
cnf(refute_0_5014,plain,
converse(join(one,join(converse(X_298),X_299))) = join(X_298,converse(join(one,X_299))),
inference(subst,[],[refute_0_4628:[bind(X0,$fot(X_298)),bind(X_124,$fot(one)),bind(X_125,$fot(X_299))]]) ).
cnf(refute_0_5015,plain,
( converse(join(join(converse(X_298),X_299),one)) != converse(join(one,join(converse(X_298),X_299)))
| converse(join(one,join(converse(X_298),X_299))) != join(X_298,converse(join(one,X_299)))
| converse(join(join(converse(X_298),X_299),one)) = join(X_298,converse(join(one,X_299))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(join(converse(X_298),X_299),one)))),bind(Y,$fot(converse(join(one,join(converse(X_298),X_299))))),bind(Z,$fot(join(X_298,converse(join(one,X_299)))))]]) ).
cnf(refute_0_5016,plain,
( converse(join(one,join(converse(X_298),X_299))) != join(X_298,converse(join(one,X_299)))
| converse(join(join(converse(X_298),X_299),one)) = join(X_298,converse(join(one,X_299))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(X_298),X_299),one)),converse(join(one,join(converse(X_298),X_299)))) )],[refute_0_5009,refute_0_5015]) ).
cnf(refute_0_5017,plain,
converse(join(join(converse(X_298),X_299),one)) = join(X_298,converse(join(one,X_299))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_298),X_299))),join(X_298,converse(join(one,X_299)))) )],[refute_0_5014,refute_0_5016]) ).
cnf(refute_0_5018,plain,
( converse(join(join(converse(X_298),X_299),one)) != converse(join(X_299,converse(join(one,X_298))))
| converse(join(join(converse(X_298),X_299),one)) != join(X_298,converse(join(one,X_299)))
| join(X_298,converse(join(one,X_299))) = converse(join(X_299,converse(join(one,X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(X_298),X_299),one)),converse(join(X_299,converse(join(one,X_298))))) ),[0],$fot(join(X_298,converse(join(one,X_299))))]]) ).
cnf(refute_0_5019,plain,
( converse(join(join(converse(X_298),X_299),one)) != converse(join(X_299,converse(join(one,X_298))))
| join(X_298,converse(join(one,X_299))) = converse(join(X_299,converse(join(one,X_298)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(X_298),X_299),one)),join(X_298,converse(join(one,X_299)))) )],[refute_0_5017,refute_0_5018]) ).
cnf(refute_0_5020,plain,
join(X_123,join(X_220,one)) = join(join(X_220,one),join(X_123,join(X_220,one))),
inference(subst,[],[refute_0_2244:[bind(X_125,$fot(join(X_220,one)))]]) ).
cnf(refute_0_5021,plain,
join(X_100,one) = join(meet(skolemFOFtoCNF_X0,join(X_100,one)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(join(X_100,one))),bind(X_84,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5022,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_100,one))
| meet(skolemFOFtoCNF_X0,join(X_100,one)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,join(X_100,one))))]]) ).
cnf(refute_0_5023,plain,
meet(skolemFOFtoCNF_X0,join(X_100,one)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_100,one))) )],[refute_0_4465,refute_0_5022]) ).
cnf(refute_0_5024,plain,
( join(X_100,one) != join(meet(skolemFOFtoCNF_X0,join(X_100,one)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,join(X_100,one)) != skolemFOFtoCNF_X0
| join(X_100,one) = join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_100,one),join(meet(skolemFOFtoCNF_X0,join(X_100,one)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5025,plain,
( join(X_100,one) != join(meet(skolemFOFtoCNF_X0,join(X_100,one)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))
| join(X_100,one) = join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(X_100,one)),skolemFOFtoCNF_X0) )],[refute_0_5023,refute_0_5024]) ).
cnf(refute_0_5026,plain,
join(X_100,one) = join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(X_100,one),join(meet(skolemFOFtoCNF_X0,join(X_100,one)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))) )],[refute_0_5021,refute_0_5025]) ).
cnf(refute_0_5027,plain,
join(complement(join(X_100,one)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(join(X_100,one))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(join(X_100,one))))]]) ).
cnf(refute_0_5028,plain,
complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) = complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5029,plain,
( complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) != complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))
| join(complement(join(X_100,one)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(join(X_100,one)))
| complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))]]) ).
cnf(refute_0_5030,plain,
( join(complement(join(X_100,one)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(join(X_100,one)))
| complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)),complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) )],[refute_0_5028,refute_0_5029]) ).
cnf(refute_0_5031,plain,
complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_100,one)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) )],[refute_0_5027,refute_0_5030]) ).
cnf(refute_0_5032,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5033,plain,
( complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))]]) ).
cnf(refute_0_5034,plain,
( complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))) )],[refute_0_5032,refute_0_5033]) ).
cnf(refute_0_5035,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) )],[refute_0_5031,refute_0_5034]) ).
cnf(refute_0_5036,plain,
( join(X_100,one) != join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))
| join(X_100,one) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_100,one),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5037,plain,
( join(X_100,one) != join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))
| join(X_100,one) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))) )],[refute_0_5035,refute_0_5036]) ).
cnf(refute_0_5038,plain,
join(X_100,one) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))),
inference(resolve,[$cnf( $equal(join(X_100,one),join(skolemFOFtoCNF_X0,complement(join(complement(join(X_100,one)),skolemFOFtoCNF_X0)))) )],[refute_0_5026,refute_0_5037]) ).
cnf(refute_0_5039,plain,
meet(join(X_100,one),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),join(X_100,one)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0))),bind(X_15,$fot(join(X_100,one)))]]) ).
cnf(refute_0_5040,plain,
complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) = meet(join(X_100,one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1755:[bind(X_178,$fot(join(X_100,one)))]]) ).
cnf(refute_0_5041,plain,
( complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) != meet(join(X_100,one),complement(skolemFOFtoCNF_X0))
| meet(join(X_100,one),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),join(X_100,one))
| complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) = meet(complement(skolemFOFtoCNF_X0),join(X_100,one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))),bind(Y,$fot(meet(join(X_100,one),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),join(X_100,one))))]]) ).
cnf(refute_0_5042,plain,
( meet(join(X_100,one),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),join(X_100,one))
| complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) = meet(complement(skolemFOFtoCNF_X0),join(X_100,one)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))),meet(join(X_100,one),complement(skolemFOFtoCNF_X0))) )],[refute_0_5040,refute_0_5041]) ).
cnf(refute_0_5043,plain,
complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) = meet(complement(skolemFOFtoCNF_X0),join(X_100,one)),
inference(resolve,[$cnf( $equal(meet(join(X_100,one),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) )],[refute_0_5039,refute_0_5042]) ).
cnf(refute_0_5044,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))))]]) ).
cnf(refute_0_5045,plain,
( complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) != meet(complement(skolemFOFtoCNF_X0),join(X_100,one))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))]]) ).
cnf(refute_0_5046,plain,
( complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))) != meet(complement(skolemFOFtoCNF_X0),join(X_100,one))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))) )],[refute_0_5044,refute_0_5045]) ).
cnf(refute_0_5047,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))),meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) )],[refute_0_5043,refute_0_5046]) ).
cnf(refute_0_5048,plain,
( join(X_100,one) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))
| join(X_100,one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_100,one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))))]]) ).
cnf(refute_0_5049,plain,
( join(X_100,one) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))
| join(X_100,one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))) )],[refute_0_5047,refute_0_5048]) ).
cnf(refute_0_5050,plain,
join(X_100,one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))),
inference(resolve,[$cnf( $equal(join(X_100,one),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(X_100,one)))))) )],[refute_0_5038,refute_0_5049]) ).
cnf(refute_0_5051,plain,
join(join(X0,X1),one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),
inference(subst,[],[refute_0_5050:[bind(X_100,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5052,plain,
join(X0,join(X1,one)) = join(join(X0,X1),one),
inference(subst,[],[refute_0_123:[bind(X2,$fot(one))]]) ).
cnf(refute_0_5053,plain,
( join(X0,join(X1,one)) != join(join(X0,X1),one)
| join(join(X0,X1),one) = join(X0,join(X1,one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X1,one)))),bind(Y,$fot(join(join(X0,X1),one)))]]) ).
cnf(refute_0_5054,plain,
join(join(X0,X1),one) = join(X0,join(X1,one)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,one)),join(join(X0,X1),one)) )],[refute_0_5052,refute_0_5053]) ).
cnf(refute_0_5055,plain,
( join(join(X0,X1),one) != join(X0,join(X1,one))
| join(join(X0,X1),one) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(X0,join(X1,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X0,X1),one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))) ),[0],$fot(join(X0,join(X1,one)))]]) ).
cnf(refute_0_5056,plain,
( join(join(X0,X1),one) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(X0,join(X1,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(X0,join(X1,one))) )],[refute_0_5054,refute_0_5055]) ).
cnf(refute_0_5057,plain,
join(X0,join(X1,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))) )],[refute_0_5051,refute_0_5056]) ).
cnf(refute_0_5058,plain,
join(join(X0,X1),one) = join(one,join(X0,X1)),
inference(subst,[],[refute_0_867:[bind(X_68,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5059,plain,
( join(X_100,one) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) = join(X_100,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_100,one))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))))]]) ).
cnf(refute_0_5060,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one))) = join(X_100,one),
inference(resolve,[$cnf( $equal(join(X_100,one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_100,one)))) )],[refute_0_5050,refute_0_5059]) ).
cnf(refute_0_5061,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(join(X0,X1),one),
inference(subst,[],[refute_0_5060:[bind(X_100,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5062,plain,
( join(join(X0,X1),one) != join(one,join(X0,X1))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) != join(join(X0,X1),one)
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(one,join(X0,X1)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))))),bind(Y,$fot(join(join(X0,X1),one))),bind(Z,$fot(join(one,join(X0,X1))))]]) ).
cnf(refute_0_5063,plain,
( join(join(X0,X1),one) != join(one,join(X0,X1))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),join(join(X0,X1),one)) )],[refute_0_5061,refute_0_5062]) ).
cnf(refute_0_5064,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(one,join(X0,X1))) )],[refute_0_5058,refute_0_5063]) ).
cnf(refute_0_5065,plain,
( join(X0,join(X1,one)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) != join(one,join(X0,X1))
| join(X0,join(X1,one)) = join(one,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,one)),join(one,join(X0,X1))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))))]]) ).
cnf(refute_0_5066,plain,
( join(X0,join(X1,one)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(X0,join(X1,one)) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),join(one,join(X0,X1))) )],[refute_0_5064,refute_0_5065]) ).
cnf(refute_0_5067,plain,
join(X0,join(X1,one)) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,one)),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))) )],[refute_0_5057,refute_0_5066]) ).
cnf(refute_0_5068,plain,
join(X_123,join(X_220,one)) = join(one,join(X_123,X_220)),
inference(subst,[],[refute_0_5067:[bind(X0,$fot(X_123)),bind(X1,$fot(X_220))]]) ).
cnf(refute_0_5069,plain,
( join(X_123,join(X_220,one)) != join(join(X_220,one),join(X_123,join(X_220,one)))
| join(X_123,join(X_220,one)) != join(one,join(X_123,X_220))
| join(one,join(X_123,X_220)) = join(join(X_220,one),join(X_123,join(X_220,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_123,join(X_220,one)),join(join(X_220,one),join(X_123,join(X_220,one)))) ),[0],$fot(join(one,join(X_123,X_220)))]]) ).
cnf(refute_0_5070,plain,
( join(X_123,join(X_220,one)) != join(join(X_220,one),join(X_123,join(X_220,one)))
| join(one,join(X_123,X_220)) = join(join(X_220,one),join(X_123,join(X_220,one))) ),
inference(resolve,[$cnf( $equal(join(X_123,join(X_220,one)),join(one,join(X_123,X_220))) )],[refute_0_5068,refute_0_5069]) ).
cnf(refute_0_5071,plain,
join(one,join(X_123,X_220)) = join(join(X_220,one),join(X_123,join(X_220,one))),
inference(resolve,[$cnf( $equal(join(X_123,join(X_220,one)),join(join(X_220,one),join(X_123,join(X_220,one)))) )],[refute_0_5020,refute_0_5070]) ).
cnf(refute_0_5072,plain,
join(X0,join(join(X_164,X0),X2)) = join(join(X0,join(X_164,X0)),X2),
inference(subst,[],[refute_0_123:[bind(X1,$fot(join(X_164,X0)))]]) ).
cnf(refute_0_5073,plain,
join(X_164,X0) = join(X0,join(X_164,X0)),
inference(subst,[],[refute_0_2244:[bind(X_123,$fot(X_164)),bind(X_125,$fot(X0))]]) ).
cnf(refute_0_5074,plain,
( join(X_164,X0) != join(X0,join(X_164,X0))
| join(X0,join(X_164,X0)) = join(X_164,X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_164,X0))),bind(Y,$fot(join(X0,join(X_164,X0))))]]) ).
cnf(refute_0_5075,plain,
join(X0,join(X_164,X0)) = join(X_164,X0),
inference(resolve,[$cnf( $equal(join(X_164,X0),join(X0,join(X_164,X0))) )],[refute_0_5073,refute_0_5074]) ).
cnf(refute_0_5076,plain,
( join(X0,join(X_164,X0)) != join(X_164,X0)
| join(X0,join(join(X_164,X0),X2)) != join(join(X0,join(X_164,X0)),X2)
| join(X0,join(join(X_164,X0),X2)) = join(join(X_164,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(join(X0,join(X_164,X0)),X2)) ),[1,0],$fot(join(X_164,X0))]]) ).
cnf(refute_0_5077,plain,
( join(X0,join(join(X_164,X0),X2)) != join(join(X0,join(X_164,X0)),X2)
| join(X0,join(join(X_164,X0),X2)) = join(join(X_164,X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_164,X0)),join(X_164,X0)) )],[refute_0_5075,refute_0_5076]) ).
cnf(refute_0_5078,plain,
join(X0,join(join(X_164,X0),X2)) = join(join(X_164,X0),X2),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(join(X0,join(X_164,X0)),X2)) )],[refute_0_5072,refute_0_5077]) ).
cnf(refute_0_5079,plain,
join(join(X_164,X0),X2) = join(X_164,join(X0,X2)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_164)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_5080,plain,
join(X0,join(join(X_164,X0),X2)) = join(X0,join(join(X_164,X0),X2)),
introduced(tautology,[refl,[$fot(join(X0,join(join(X_164,X0),X2)))]]) ).
cnf(refute_0_5081,plain,
( join(X0,join(join(X_164,X0),X2)) != join(X0,join(join(X_164,X0),X2))
| join(join(X_164,X0),X2) != join(X_164,join(X0,X2))
| join(X0,join(join(X_164,X0),X2)) = join(X0,join(X_164,join(X0,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(X0,join(join(X_164,X0),X2))) ),[1,1],$fot(join(X_164,join(X0,X2)))]]) ).
cnf(refute_0_5082,plain,
( join(join(X_164,X0),X2) != join(X_164,join(X0,X2))
| join(X0,join(join(X_164,X0),X2)) = join(X0,join(X_164,join(X0,X2))) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(X0,join(join(X_164,X0),X2))) )],[refute_0_5080,refute_0_5081]) ).
cnf(refute_0_5083,plain,
join(X0,join(join(X_164,X0),X2)) = join(X0,join(X_164,join(X0,X2))),
inference(resolve,[$cnf( $equal(join(join(X_164,X0),X2),join(X_164,join(X0,X2))) )],[refute_0_5079,refute_0_5082]) ).
cnf(refute_0_5084,plain,
( join(X0,join(join(X_164,X0),X2)) != join(X0,join(X_164,join(X0,X2)))
| join(X0,join(join(X_164,X0),X2)) != join(join(X_164,X0),X2)
| join(X0,join(X_164,join(X0,X2))) = join(join(X_164,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(join(X_164,X0),X2)) ),[0],$fot(join(X0,join(X_164,join(X0,X2))))]]) ).
cnf(refute_0_5085,plain,
( join(X0,join(join(X_164,X0),X2)) != join(join(X_164,X0),X2)
| join(X0,join(X_164,join(X0,X2))) = join(join(X_164,X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(X0,join(X_164,join(X0,X2)))) )],[refute_0_5083,refute_0_5084]) ).
cnf(refute_0_5086,plain,
( join(X0,join(X_164,join(X0,X2))) != join(join(X_164,X0),X2)
| join(join(X_164,X0),X2) != join(X_164,join(X0,X2))
| join(X0,join(X_164,join(X0,X2))) = join(X_164,join(X0,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_164,join(X0,X2))),join(X_164,join(X0,X2))) ),[0],$fot(join(join(X_164,X0),X2))]]) ).
cnf(refute_0_5087,plain,
( join(X0,join(X_164,join(X0,X2))) != join(join(X_164,X0),X2)
| join(X0,join(X_164,join(X0,X2))) = join(X_164,join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_164,X0),X2),join(X_164,join(X0,X2))) )],[refute_0_5079,refute_0_5086]) ).
cnf(refute_0_5088,plain,
( join(X0,join(join(X_164,X0),X2)) != join(join(X_164,X0),X2)
| join(X0,join(X_164,join(X0,X2))) = join(X_164,join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_164,join(X0,X2))),join(join(X_164,X0),X2)) )],[refute_0_5085,refute_0_5087]) ).
cnf(refute_0_5089,plain,
join(X0,join(X_164,join(X0,X2))) = join(X_164,join(X0,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_164,X0),X2)),join(join(X_164,X0),X2)) )],[refute_0_5078,refute_0_5088]) ).
cnf(refute_0_5090,plain,
join(one,join(X_220,join(one,X_123))) = join(X_220,join(one,X_123)),
inference(subst,[],[refute_0_5089:[bind(X0,$fot(one)),bind(X2,$fot(X_123)),bind(X_164,$fot(X_220))]]) ).
cnf(refute_0_5091,plain,
join(X_220,join(X_220,join(one,X_123))) = join(X_220,join(one,X_123)),
inference(subst,[],[refute_0_861:[bind(X1,$fot(X_220)),bind(X2,$fot(join(one,X_123)))]]) ).
cnf(refute_0_5092,plain,
join(join(X_220,one),X_123) = join(X_220,join(one,X_123)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_220)),bind(X1,$fot(one)),bind(X2,$fot(X_123))]]) ).
cnf(refute_0_5093,plain,
join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(join(X_220,one),X_123)),
introduced(tautology,[refl,[$fot(join(X_220,join(join(X_220,one),X_123)))]]) ).
cnf(refute_0_5094,plain,
( join(X_220,join(join(X_220,one),X_123)) != join(X_220,join(join(X_220,one),X_123))
| join(join(X_220,one),X_123) != join(X_220,join(one,X_123))
| join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(X_220,join(one,X_123))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_220,join(join(X_220,one),X_123)),join(X_220,join(join(X_220,one),X_123))) ),[1,1],$fot(join(X_220,join(one,X_123)))]]) ).
cnf(refute_0_5095,plain,
( join(join(X_220,one),X_123) != join(X_220,join(one,X_123))
| join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(X_220,join(one,X_123))) ),
inference(resolve,[$cnf( $equal(join(X_220,join(join(X_220,one),X_123)),join(X_220,join(join(X_220,one),X_123))) )],[refute_0_5093,refute_0_5094]) ).
cnf(refute_0_5096,plain,
join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(X_220,join(one,X_123))),
inference(resolve,[$cnf( $equal(join(join(X_220,one),X_123),join(X_220,join(one,X_123))) )],[refute_0_5092,refute_0_5095]) ).
cnf(refute_0_5097,plain,
( join(X_220,join(X_220,join(one,X_123))) != join(X_220,join(one,X_123))
| join(X_220,join(join(X_220,one),X_123)) != join(X_220,join(X_220,join(one,X_123)))
| join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(one,X_123)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X_220,join(join(X_220,one),X_123)))),bind(Y,$fot(join(X_220,join(X_220,join(one,X_123))))),bind(Z,$fot(join(X_220,join(one,X_123))))]]) ).
cnf(refute_0_5098,plain,
( join(X_220,join(X_220,join(one,X_123))) != join(X_220,join(one,X_123))
| join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(one,X_123)) ),
inference(resolve,[$cnf( $equal(join(X_220,join(join(X_220,one),X_123)),join(X_220,join(X_220,join(one,X_123)))) )],[refute_0_5096,refute_0_5097]) ).
cnf(refute_0_5099,plain,
join(X_220,join(join(X_220,one),X_123)) = join(X_220,join(one,X_123)),
inference(resolve,[$cnf( $equal(join(X_220,join(X_220,join(one,X_123))),join(X_220,join(one,X_123))) )],[refute_0_5091,refute_0_5098]) ).
cnf(refute_0_5100,plain,
join(join(X_220,one),join(X_123,X_220)) = join(X_220,join(join(X_220,one),X_123)),
inference(subst,[],[refute_0_2266:[bind(X_123,$fot(join(X_220,one))),bind(X_124,$fot(X_220)),bind(X_125,$fot(X_123))]]) ).
cnf(refute_0_5101,plain,
( join(X_220,join(join(X_220,one),X_123)) != join(X_220,join(one,X_123))
| join(join(X_220,one),join(X_123,X_220)) != join(X_220,join(join(X_220,one),X_123))
| join(join(X_220,one),join(X_123,X_220)) = join(X_220,join(one,X_123)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X_220,one),join(X_123,X_220)))),bind(Y,$fot(join(X_220,join(join(X_220,one),X_123)))),bind(Z,$fot(join(X_220,join(one,X_123))))]]) ).
cnf(refute_0_5102,plain,
( join(X_220,join(join(X_220,one),X_123)) != join(X_220,join(one,X_123))
| join(join(X_220,one),join(X_123,X_220)) = join(X_220,join(one,X_123)) ),
inference(resolve,[$cnf( $equal(join(join(X_220,one),join(X_123,X_220)),join(X_220,join(join(X_220,one),X_123))) )],[refute_0_5100,refute_0_5101]) ).
cnf(refute_0_5103,plain,
join(join(X_220,one),join(X_123,X_220)) = join(X_220,join(one,X_123)),
inference(resolve,[$cnf( $equal(join(X_220,join(join(X_220,one),X_123)),join(X_220,join(one,X_123))) )],[refute_0_5099,refute_0_5102]) ).
cnf(refute_0_5104,plain,
join(one,join(join(X_220,one),join(X_123,X_220))) = join(one,join(join(X_220,one),join(X_123,X_220))),
introduced(tautology,[refl,[$fot(join(one,join(join(X_220,one),join(X_123,X_220))))]]) ).
cnf(refute_0_5105,plain,
( join(join(X_220,one),join(X_123,X_220)) != join(X_220,join(one,X_123))
| join(one,join(join(X_220,one),join(X_123,X_220))) != join(one,join(join(X_220,one),join(X_123,X_220)))
| join(one,join(join(X_220,one),join(X_123,X_220))) = join(one,join(X_220,join(one,X_123))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_220,one),join(X_123,X_220))),join(one,join(join(X_220,one),join(X_123,X_220)))) ),[1,1],$fot(join(X_220,join(one,X_123)))]]) ).
cnf(refute_0_5106,plain,
( join(join(X_220,one),join(X_123,X_220)) != join(X_220,join(one,X_123))
| join(one,join(join(X_220,one),join(X_123,X_220))) = join(one,join(X_220,join(one,X_123))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_220,one),join(X_123,X_220))),join(one,join(join(X_220,one),join(X_123,X_220)))) )],[refute_0_5104,refute_0_5105]) ).
cnf(refute_0_5107,plain,
join(one,join(join(X_220,one),join(X_123,X_220))) = join(one,join(X_220,join(one,X_123))),
inference(resolve,[$cnf( $equal(join(join(X_220,one),join(X_123,X_220)),join(X_220,join(one,X_123))) )],[refute_0_5103,refute_0_5106]) ).
cnf(refute_0_5108,plain,
( join(one,join(X_220,join(one,X_123))) != join(X_220,join(one,X_123))
| join(one,join(join(X_220,one),join(X_123,X_220))) != join(one,join(X_220,join(one,X_123)))
| join(one,join(join(X_220,one),join(X_123,X_220))) = join(X_220,join(one,X_123)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(join(X_220,one),join(X_123,X_220))))),bind(Y,$fot(join(one,join(X_220,join(one,X_123))))),bind(Z,$fot(join(X_220,join(one,X_123))))]]) ).
cnf(refute_0_5109,plain,
( join(one,join(X_220,join(one,X_123))) != join(X_220,join(one,X_123))
| join(one,join(join(X_220,one),join(X_123,X_220))) = join(X_220,join(one,X_123)) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_220,one),join(X_123,X_220))),join(one,join(X_220,join(one,X_123)))) )],[refute_0_5107,refute_0_5108]) ).
cnf(refute_0_5110,plain,
join(one,join(join(X_220,one),join(X_123,X_220))) = join(X_220,join(one,X_123)),
inference(resolve,[$cnf( $equal(join(one,join(X_220,join(one,X_123))),join(X_220,join(one,X_123))) )],[refute_0_5090,refute_0_5109]) ).
cnf(refute_0_5111,plain,
join(X0,join(X1,join(X_220,one))) = join(join(X0,X1),join(X_220,one)),
inference(subst,[],[refute_0_123:[bind(X2,$fot(join(X_220,one)))]]) ).
cnf(refute_0_5112,plain,
join(join(X0,X1),join(X_220,one)) = join(one,join(join(X0,X1),X_220)),
inference(subst,[],[refute_0_5067:[bind(X0,$fot(join(X0,X1))),bind(X1,$fot(X_220))]]) ).
cnf(refute_0_5113,plain,
( join(X0,join(X1,join(X_220,one))) != join(join(X0,X1),join(X_220,one))
| join(join(X0,X1),join(X_220,one)) != join(one,join(join(X0,X1),X_220))
| join(X0,join(X1,join(X_220,one))) = join(one,join(join(X0,X1),X_220)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_220,one))),join(one,join(join(X0,X1),X_220))) ),[0],$fot(join(join(X0,X1),join(X_220,one)))]]) ).
cnf(refute_0_5114,plain,
( join(X0,join(X1,join(X_220,one))) != join(join(X0,X1),join(X_220,one))
| join(X0,join(X1,join(X_220,one))) = join(one,join(join(X0,X1),X_220)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_220,one)),join(one,join(join(X0,X1),X_220))) )],[refute_0_5112,refute_0_5113]) ).
cnf(refute_0_5115,plain,
join(X0,join(X1,join(X_220,one))) = join(one,join(join(X0,X1),X_220)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_220,one))),join(join(X0,X1),join(X_220,one))) )],[refute_0_5111,refute_0_5114]) ).
cnf(refute_0_5116,plain,
join(join(X0,X1),X_220) = join(X0,join(X1,X_220)),
inference(subst,[],[refute_0_267:[bind(X2,$fot(X_220))]]) ).
cnf(refute_0_5117,plain,
join(one,join(join(X0,X1),X_220)) = join(one,join(join(X0,X1),X_220)),
introduced(tautology,[refl,[$fot(join(one,join(join(X0,X1),X_220)))]]) ).
cnf(refute_0_5118,plain,
( join(join(X0,X1),X_220) != join(X0,join(X1,X_220))
| join(one,join(join(X0,X1),X_220)) != join(one,join(join(X0,X1),X_220))
| join(one,join(join(X0,X1),X_220)) = join(one,join(X0,join(X1,X_220))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X0,X1),X_220)),join(one,join(join(X0,X1),X_220))) ),[1,1],$fot(join(X0,join(X1,X_220)))]]) ).
cnf(refute_0_5119,plain,
( join(join(X0,X1),X_220) != join(X0,join(X1,X_220))
| join(one,join(join(X0,X1),X_220)) = join(one,join(X0,join(X1,X_220))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X0,X1),X_220)),join(one,join(join(X0,X1),X_220))) )],[refute_0_5117,refute_0_5118]) ).
cnf(refute_0_5120,plain,
join(one,join(join(X0,X1),X_220)) = join(one,join(X0,join(X1,X_220))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_220),join(X0,join(X1,X_220))) )],[refute_0_5116,refute_0_5119]) ).
cnf(refute_0_5121,plain,
( join(X0,join(X1,join(X_220,one))) != join(one,join(join(X0,X1),X_220))
| join(one,join(join(X0,X1),X_220)) != join(one,join(X0,join(X1,X_220)))
| join(X0,join(X1,join(X_220,one))) = join(one,join(X0,join(X1,X_220))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_220,one))),join(one,join(X0,join(X1,X_220)))) ),[0],$fot(join(one,join(join(X0,X1),X_220)))]]) ).
cnf(refute_0_5122,plain,
( join(X0,join(X1,join(X_220,one))) != join(one,join(join(X0,X1),X_220))
| join(X0,join(X1,join(X_220,one))) = join(one,join(X0,join(X1,X_220))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X0,X1),X_220)),join(one,join(X0,join(X1,X_220)))) )],[refute_0_5120,refute_0_5121]) ).
cnf(refute_0_5123,plain,
join(X0,join(X1,join(X_220,one))) = join(one,join(X0,join(X1,X_220))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_220,one))),join(one,join(join(X0,X1),X_220))) )],[refute_0_5115,refute_0_5122]) ).
cnf(refute_0_5124,plain,
join(join(X_220,one),join(X_123,join(X_220,one))) = join(one,join(join(X_220,one),join(X_123,X_220))),
inference(subst,[],[refute_0_5123:[bind(X0,$fot(join(X_220,one))),bind(X1,$fot(X_123))]]) ).
cnf(refute_0_5125,plain,
( join(join(X_220,one),join(X_123,join(X_220,one))) != join(one,join(join(X_220,one),join(X_123,X_220)))
| join(one,join(join(X_220,one),join(X_123,X_220))) != join(X_220,join(one,X_123))
| join(join(X_220,one),join(X_123,join(X_220,one))) = join(X_220,join(one,X_123)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X_220,one),join(X_123,join(X_220,one))))),bind(Y,$fot(join(one,join(join(X_220,one),join(X_123,X_220))))),bind(Z,$fot(join(X_220,join(one,X_123))))]]) ).
cnf(refute_0_5126,plain,
( join(one,join(join(X_220,one),join(X_123,X_220))) != join(X_220,join(one,X_123))
| join(join(X_220,one),join(X_123,join(X_220,one))) = join(X_220,join(one,X_123)) ),
inference(resolve,[$cnf( $equal(join(join(X_220,one),join(X_123,join(X_220,one))),join(one,join(join(X_220,one),join(X_123,X_220)))) )],[refute_0_5124,refute_0_5125]) ).
cnf(refute_0_5127,plain,
join(join(X_220,one),join(X_123,join(X_220,one))) = join(X_220,join(one,X_123)),
inference(resolve,[$cnf( $equal(join(one,join(join(X_220,one),join(X_123,X_220))),join(X_220,join(one,X_123))) )],[refute_0_5110,refute_0_5126]) ).
cnf(refute_0_5128,plain,
( join(join(X_220,one),join(X_123,join(X_220,one))) != join(X_220,join(one,X_123))
| join(one,join(X_123,X_220)) != join(join(X_220,one),join(X_123,join(X_220,one)))
| join(one,join(X_123,X_220)) = join(X_220,join(one,X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_123,X_220)),join(join(X_220,one),join(X_123,join(X_220,one)))) ),[1],$fot(join(X_220,join(one,X_123)))]]) ).
cnf(refute_0_5129,plain,
( join(one,join(X_123,X_220)) != join(join(X_220,one),join(X_123,join(X_220,one)))
| join(one,join(X_123,X_220)) = join(X_220,join(one,X_123)) ),
inference(resolve,[$cnf( $equal(join(join(X_220,one),join(X_123,join(X_220,one))),join(X_220,join(one,X_123))) )],[refute_0_5127,refute_0_5128]) ).
cnf(refute_0_5130,plain,
join(one,join(X_123,X_220)) = join(X_220,join(one,X_123)),
inference(resolve,[$cnf( $equal(join(one,join(X_123,X_220)),join(join(X_220,one),join(X_123,join(X_220,one)))) )],[refute_0_5071,refute_0_5129]) ).
cnf(refute_0_5131,plain,
( join(one,join(X_123,X_220)) != join(X_220,join(one,X_123))
| join(X_220,join(one,X_123)) = join(one,join(X_123,X_220)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,join(X_123,X_220)))),bind(Y,$fot(join(X_220,join(one,X_123))))]]) ).
cnf(refute_0_5132,plain,
join(X_220,join(one,X_123)) = join(one,join(X_123,X_220)),
inference(resolve,[$cnf( $equal(join(one,join(X_123,X_220)),join(X_220,join(one,X_123))) )],[refute_0_5130,refute_0_5131]) ).
cnf(refute_0_5133,plain,
join(converse(X_299),join(one,X_298)) = join(one,join(X_298,converse(X_299))),
inference(subst,[],[refute_0_5132:[bind(X_123,$fot(X_298)),bind(X_220,$fot(converse(X_299)))]]) ).
cnf(refute_0_5134,plain,
converse(join(X_299,converse(join(one,X_298)))) = join(converse(X_299),join(one,X_298)),
inference(subst,[],[refute_0_699:[bind(X0,$fot(join(one,X_298))),bind(X_19,$fot(X_299))]]) ).
cnf(refute_0_5135,plain,
( converse(join(X_299,converse(join(one,X_298)))) != join(converse(X_299),join(one,X_298))
| join(converse(X_299),join(one,X_298)) != join(one,join(X_298,converse(X_299)))
| converse(join(X_299,converse(join(one,X_298)))) = join(one,join(X_298,converse(X_299))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(X_299,converse(join(one,X_298)))))),bind(Y,$fot(join(converse(X_299),join(one,X_298)))),bind(Z,$fot(join(one,join(X_298,converse(X_299)))))]]) ).
cnf(refute_0_5136,plain,
( join(converse(X_299),join(one,X_298)) != join(one,join(X_298,converse(X_299)))
| converse(join(X_299,converse(join(one,X_298)))) = join(one,join(X_298,converse(X_299))) ),
inference(resolve,[$cnf( $equal(converse(join(X_299,converse(join(one,X_298)))),join(converse(X_299),join(one,X_298))) )],[refute_0_5134,refute_0_5135]) ).
cnf(refute_0_5137,plain,
converse(join(X_299,converse(join(one,X_298)))) = join(one,join(X_298,converse(X_299))),
inference(resolve,[$cnf( $equal(join(converse(X_299),join(one,X_298)),join(one,join(X_298,converse(X_299)))) )],[refute_0_5133,refute_0_5136]) ).
cnf(refute_0_5138,plain,
( converse(join(X_299,converse(join(one,X_298)))) != join(one,join(X_298,converse(X_299)))
| join(X_298,converse(join(one,X_299))) != converse(join(X_299,converse(join(one,X_298))))
| join(X_298,converse(join(one,X_299))) = join(one,join(X_298,converse(X_299))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,converse(join(one,X_299))),converse(join(X_299,converse(join(one,X_298))))) ),[1],$fot(join(one,join(X_298,converse(X_299))))]]) ).
cnf(refute_0_5139,plain,
( join(X_298,converse(join(one,X_299))) != converse(join(X_299,converse(join(one,X_298))))
| join(X_298,converse(join(one,X_299))) = join(one,join(X_298,converse(X_299))) ),
inference(resolve,[$cnf( $equal(converse(join(X_299,converse(join(one,X_298)))),join(one,join(X_298,converse(X_299)))) )],[refute_0_5137,refute_0_5138]) ).
cnf(refute_0_5140,plain,
( converse(join(join(converse(X_298),X_299),one)) != converse(join(X_299,converse(join(one,X_298))))
| join(X_298,converse(join(one,X_299))) = join(one,join(X_298,converse(X_299))) ),
inference(resolve,[$cnf( $equal(join(X_298,converse(join(one,X_299))),converse(join(X_299,converse(join(one,X_298))))) )],[refute_0_5019,refute_0_5139]) ).
cnf(refute_0_5141,plain,
join(X_298,converse(join(one,X_299))) = join(one,join(X_298,converse(X_299))),
inference(resolve,[$cnf( $equal(converse(join(join(converse(X_298),X_299),one)),converse(join(X_299,converse(join(one,X_298))))) )],[refute_0_5013,refute_0_5140]) ).
cnf(refute_0_5142,plain,
join(join(X_25,X_27),converse(join(one,X_298))) = join(one,join(join(X_25,X_27),converse(X_298))),
inference(subst,[],[refute_0_5141:[bind(X_298,$fot(join(X_25,X_27))),bind(X_299,$fot(X_298))]]) ).
cnf(refute_0_5143,plain,
( join(join(X_25,X_27),converse(join(one,X_298))) != join(one,join(join(X_25,X_27),converse(X_298)))
| join(one,join(join(X_25,X_27),converse(X_298))) != join(one,join(X_25,join(X_27,converse(X_298))))
| join(join(X_25,X_27),converse(join(one,X_298))) = join(one,join(X_25,join(X_27,converse(X_298)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X_25,X_27),converse(join(one,X_298))))),bind(Y,$fot(join(one,join(join(X_25,X_27),converse(X_298))))),bind(Z,$fot(join(one,join(X_25,join(X_27,converse(X_298))))))]]) ).
cnf(refute_0_5144,plain,
( join(one,join(join(X_25,X_27),converse(X_298))) != join(one,join(X_25,join(X_27,converse(X_298))))
| join(join(X_25,X_27),converse(join(one,X_298))) = join(one,join(X_25,join(X_27,converse(X_298)))) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_27),converse(join(one,X_298))),join(one,join(join(X_25,X_27),converse(X_298)))) )],[refute_0_5142,refute_0_5143]) ).
cnf(refute_0_5145,plain,
join(join(X_25,X_27),converse(join(one,X_298))) = join(one,join(X_25,join(X_27,converse(X_298)))),
inference(resolve,[$cnf( $equal(join(one,join(join(X_25,X_27),converse(X_298))),join(one,join(X_25,join(X_27,converse(X_298))))) )],[refute_0_5008,refute_0_5144]) ).
cnf(refute_0_5146,plain,
( join(join(X_25,X_27),converse(join(one,X_298))) != join(one,join(X_25,join(X_27,converse(X_298))))
| join(one,join(X_25,join(converse(X_298),X_27))) != join(join(X_25,X_27),converse(join(one,X_298)))
| join(one,join(X_25,join(converse(X_298),X_27))) = join(one,join(X_25,join(X_27,converse(X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_25,join(converse(X_298),X_27))),join(join(X_25,X_27),converse(join(one,X_298)))) ),[1],$fot(join(one,join(X_25,join(X_27,converse(X_298)))))]]) ).
cnf(refute_0_5147,plain,
( join(one,join(X_25,join(converse(X_298),X_27))) != join(join(X_25,X_27),converse(join(one,X_298)))
| join(one,join(X_25,join(converse(X_298),X_27))) = join(one,join(X_25,join(X_27,converse(X_298)))) ),
inference(resolve,[$cnf( $equal(join(join(X_25,X_27),converse(join(one,X_298))),join(one,join(X_25,join(X_27,converse(X_298))))) )],[refute_0_5145,refute_0_5146]) ).
cnf(refute_0_5148,plain,
join(one,join(X_25,join(converse(X_298),X_27))) = join(one,join(X_25,join(X_27,converse(X_298)))),
inference(resolve,[$cnf( $equal(join(one,join(X_25,join(converse(X_298),X_27))),join(join(X_25,X_27),converse(join(one,X_298)))) )],[refute_0_5003,refute_0_5147]) ).
cnf(refute_0_5149,plain,
join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5148:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(X_298,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5150,plain,
( join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5151,plain,
( join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5149,refute_0_5150]) ).
cnf(refute_0_5152,plain,
join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4996,refute_0_5151]) ).
cnf(refute_0_5153,plain,
join(one,join(converse(X_298),join(X_26,X0))) = join(join(X_26,X0),converse(join(one,X_298))),
inference(subst,[],[refute_0_2396:[bind(X_21,$fot(X_298)),bind(X_68,$fot(join(X_26,X0)))]]) ).
cnf(refute_0_5154,plain,
join(X0,join(converse(X_298),X_26)) = join(converse(X_298),join(X_26,X0)),
inference(subst,[],[refute_0_421:[bind(X_25,$fot(converse(X_298)))]]) ).
cnf(refute_0_5155,plain,
( join(X0,join(converse(X_298),X_26)) != join(converse(X_298),join(X_26,X0))
| join(converse(X_298),join(X_26,X0)) = join(X0,join(converse(X_298),X_26)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(converse(X_298),X_26)))),bind(Y,$fot(join(converse(X_298),join(X_26,X0))))]]) ).
cnf(refute_0_5156,plain,
join(converse(X_298),join(X_26,X0)) = join(X0,join(converse(X_298),X_26)),
inference(resolve,[$cnf( $equal(join(X0,join(converse(X_298),X_26)),join(converse(X_298),join(X_26,X0))) )],[refute_0_5154,refute_0_5155]) ).
cnf(refute_0_5157,plain,
( join(converse(X_298),join(X_26,X0)) != join(X0,join(converse(X_298),X_26))
| join(one,join(converse(X_298),join(X_26,X0))) != join(join(X_26,X0),converse(join(one,X_298)))
| join(one,join(X0,join(converse(X_298),X_26))) = join(join(X_26,X0),converse(join(one,X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_298),join(X_26,X0))),join(join(X_26,X0),converse(join(one,X_298)))) ),[0,1],$fot(join(X0,join(converse(X_298),X_26)))]]) ).
cnf(refute_0_5158,plain,
( join(one,join(converse(X_298),join(X_26,X0))) != join(join(X_26,X0),converse(join(one,X_298)))
| join(one,join(X0,join(converse(X_298),X_26))) = join(join(X_26,X0),converse(join(one,X_298))) ),
inference(resolve,[$cnf( $equal(join(converse(X_298),join(X_26,X0)),join(X0,join(converse(X_298),X_26))) )],[refute_0_5156,refute_0_5157]) ).
cnf(refute_0_5159,plain,
join(one,join(X0,join(converse(X_298),X_26))) = join(join(X_26,X0),converse(join(one,X_298))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_298),join(X_26,X0))),join(join(X_26,X0),converse(join(one,X_298)))) )],[refute_0_5153,refute_0_5158]) ).
cnf(refute_0_5160,plain,
join(join(X_26,X0),converse(X_298)) = join(X_26,join(X0,converse(X_298))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_26)),bind(X1,$fot(X0)),bind(X2,$fot(converse(X_298)))]]) ).
cnf(refute_0_5161,plain,
join(one,join(join(X_26,X0),converse(X_298))) = join(one,join(join(X_26,X0),converse(X_298))),
introduced(tautology,[refl,[$fot(join(one,join(join(X_26,X0),converse(X_298))))]]) ).
cnf(refute_0_5162,plain,
( join(join(X_26,X0),converse(X_298)) != join(X_26,join(X0,converse(X_298)))
| join(one,join(join(X_26,X0),converse(X_298))) != join(one,join(join(X_26,X0),converse(X_298)))
| join(one,join(join(X_26,X0),converse(X_298))) = join(one,join(X_26,join(X0,converse(X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_26,X0),converse(X_298))),join(one,join(join(X_26,X0),converse(X_298)))) ),[1,1],$fot(join(X_26,join(X0,converse(X_298))))]]) ).
cnf(refute_0_5163,plain,
( join(join(X_26,X0),converse(X_298)) != join(X_26,join(X0,converse(X_298)))
| join(one,join(join(X_26,X0),converse(X_298))) = join(one,join(X_26,join(X0,converse(X_298)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_26,X0),converse(X_298))),join(one,join(join(X_26,X0),converse(X_298)))) )],[refute_0_5161,refute_0_5162]) ).
cnf(refute_0_5164,plain,
join(one,join(join(X_26,X0),converse(X_298))) = join(one,join(X_26,join(X0,converse(X_298)))),
inference(resolve,[$cnf( $equal(join(join(X_26,X0),converse(X_298)),join(X_26,join(X0,converse(X_298)))) )],[refute_0_5160,refute_0_5163]) ).
cnf(refute_0_5165,plain,
join(join(X_26,X0),converse(join(one,X_298))) = join(one,join(join(X_26,X0),converse(X_298))),
inference(subst,[],[refute_0_5141:[bind(X_298,$fot(join(X_26,X0))),bind(X_299,$fot(X_298))]]) ).
cnf(refute_0_5166,plain,
( join(join(X_26,X0),converse(join(one,X_298))) != join(one,join(join(X_26,X0),converse(X_298)))
| join(one,join(join(X_26,X0),converse(X_298))) != join(one,join(X_26,join(X0,converse(X_298))))
| join(join(X_26,X0),converse(join(one,X_298))) = join(one,join(X_26,join(X0,converse(X_298)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X_26,X0),converse(join(one,X_298))))),bind(Y,$fot(join(one,join(join(X_26,X0),converse(X_298))))),bind(Z,$fot(join(one,join(X_26,join(X0,converse(X_298))))))]]) ).
cnf(refute_0_5167,plain,
( join(one,join(join(X_26,X0),converse(X_298))) != join(one,join(X_26,join(X0,converse(X_298))))
| join(join(X_26,X0),converse(join(one,X_298))) = join(one,join(X_26,join(X0,converse(X_298)))) ),
inference(resolve,[$cnf( $equal(join(join(X_26,X0),converse(join(one,X_298))),join(one,join(join(X_26,X0),converse(X_298)))) )],[refute_0_5165,refute_0_5166]) ).
cnf(refute_0_5168,plain,
join(join(X_26,X0),converse(join(one,X_298))) = join(one,join(X_26,join(X0,converse(X_298)))),
inference(resolve,[$cnf( $equal(join(one,join(join(X_26,X0),converse(X_298))),join(one,join(X_26,join(X0,converse(X_298))))) )],[refute_0_5164,refute_0_5167]) ).
cnf(refute_0_5169,plain,
( join(join(X_26,X0),converse(join(one,X_298))) != join(one,join(X_26,join(X0,converse(X_298))))
| join(one,join(X0,join(converse(X_298),X_26))) != join(join(X_26,X0),converse(join(one,X_298)))
| join(one,join(X0,join(converse(X_298),X_26))) = join(one,join(X_26,join(X0,converse(X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,join(converse(X_298),X_26))),join(join(X_26,X0),converse(join(one,X_298)))) ),[1],$fot(join(one,join(X_26,join(X0,converse(X_298)))))]]) ).
cnf(refute_0_5170,plain,
( join(one,join(X0,join(converse(X_298),X_26))) != join(join(X_26,X0),converse(join(one,X_298)))
| join(one,join(X0,join(converse(X_298),X_26))) = join(one,join(X_26,join(X0,converse(X_298)))) ),
inference(resolve,[$cnf( $equal(join(join(X_26,X0),converse(join(one,X_298))),join(one,join(X_26,join(X0,converse(X_298))))) )],[refute_0_5168,refute_0_5169]) ).
cnf(refute_0_5171,plain,
join(one,join(X0,join(converse(X_298),X_26))) = join(one,join(X_26,join(X0,converse(X_298)))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(converse(X_298),X_26))),join(join(X_26,X0),converse(join(one,X_298)))) )],[refute_0_5159,refute_0_5170]) ).
cnf(refute_0_5172,plain,
( join(one,join(X0,join(converse(X_298),X_26))) != join(one,join(X_26,join(X0,converse(X_298))))
| join(one,join(X_26,join(X0,converse(X_298)))) = join(one,join(X0,join(converse(X_298),X_26))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,join(X0,join(converse(X_298),X_26))))),bind(Y,$fot(join(one,join(X_26,join(X0,converse(X_298))))))]]) ).
cnf(refute_0_5173,plain,
join(one,join(X_26,join(X0,converse(X_298)))) = join(one,join(X0,join(converse(X_298),X_26))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(converse(X_298),X_26))),join(one,join(X_26,join(X0,converse(X_298))))) )],[refute_0_5171,refute_0_5172]) ).
cnf(refute_0_5174,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5173:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_26,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(X_298,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5175,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))
| join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5176,plain,
( join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5174,refute_0_5175]) ).
cnf(refute_0_5177,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5152,refute_0_5176]) ).
cnf(refute_0_5178,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,one)
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,one)) ),[0],$fot(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5179,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,one)
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5177,refute_0_5178]) ).
cnf(refute_0_5180,plain,
( join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,one)
| join(one,one) != one
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) ),[0],$fot(join(one,one))]]) ).
cnf(refute_0_5181,plain,
( join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,one)
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_849,refute_0_5180]) ).
cnf(refute_0_5182,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,one)
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,one)) )],[refute_0_5179,refute_0_5181]) ).
cnf(refute_0_5183,plain,
join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,one)) )],[refute_0_4975,refute_0_5182]) ).
cnf(refute_0_5184,plain,
( join(X0,join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))
| join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != one
| join(X0,one) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_5185,plain,
( join(X0,join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))
| join(X0,one) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_5183,refute_0_5184]) ).
cnf(refute_0_5186,plain,
join(X0,one) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))) )],[refute_0_4840,refute_0_5185]) ).
cnf(refute_0_5187,plain,
join(one,join(skolemFOFtoCNF_X0,X0)) = join(one,X0),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(X0))]]) ).
cnf(refute_0_5188,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5189,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5190,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5188,refute_0_5189]) ).
cnf(refute_0_5191,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2855,refute_0_5190]) ).
cnf(refute_0_5192,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != complement(complement(skolemFOFtoCNF_X0))
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5193,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_5191,refute_0_5192]) ).
cnf(refute_0_5194,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_5193]) ).
cnf(refute_0_5195,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))]]) ).
cnf(refute_0_5196,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) = join(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5197,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) = join(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) )],[refute_0_5195,refute_0_5196]) ).
cnf(refute_0_5198,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) = join(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_5194,refute_0_5197]) ).
cnf(refute_0_5199,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)))]]) ).
cnf(refute_0_5200,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) != join(skolemFOFtoCNF_X0,X0)
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,join(skolemFOFtoCNF_X0,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,X0))]]) ).
cnf(refute_0_5201,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0) != join(skolemFOFtoCNF_X0,X0)
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,join(skolemFOFtoCNF_X0,X0)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))) )],[refute_0_5199,refute_0_5200]) ).
cnf(refute_0_5202,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,join(skolemFOFtoCNF_X0,X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0),join(skolemFOFtoCNF_X0,X0)) )],[refute_0_5198,refute_0_5201]) ).
cnf(refute_0_5203,plain,
( join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) != join(one,join(skolemFOFtoCNF_X0,X0))
| join(one,join(skolemFOFtoCNF_X0,X0)) != join(one,X0)
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,X0)))),bind(Z,$fot(join(one,X0)))]]) ).
cnf(refute_0_5204,plain,
( join(one,join(skolemFOFtoCNF_X0,X0)) != join(one,X0)
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),join(one,join(skolemFOFtoCNF_X0,X0))) )],[refute_0_5202,refute_0_5203]) ).
cnf(refute_0_5205,plain,
join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) = join(one,X0),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X0)),join(one,X0)) )],[refute_0_5187,refute_0_5204]) ).
cnf(refute_0_5206,plain,
( join(X0,one) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))
| join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)) != join(one,X0)
| join(X0,one) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,one),join(one,X0)) ),[0],$fot(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)))]]) ).
cnf(refute_0_5207,plain,
( join(X0,one) != join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))
| join(X0,one) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0)),join(one,X0)) )],[refute_0_5205,refute_0_5206]) ).
cnf(refute_0_5208,plain,
join(X0,one) = join(one,X0),
inference(resolve,[$cnf( $equal(join(X0,one),join(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),X0))) )],[refute_0_5186,refute_0_5207]) ).
cnf(refute_0_5209,plain,
join(converse(X_20),one) = join(one,converse(X_20)),
inference(subst,[],[refute_0_5208:[bind(X0,$fot(converse(X_20)))]]) ).
cnf(refute_0_5210,plain,
( join(converse(X_20),one) != join(one,converse(X_20))
| join(one,converse(X_20)) != converse(join(X_20,one))
| join(converse(X_20),one) = converse(join(X_20,one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(X_20),one))),bind(Y,$fot(join(one,converse(X_20)))),bind(Z,$fot(converse(join(X_20,one))))]]) ).
cnf(refute_0_5211,plain,
( join(one,converse(X_20)) != converse(join(X_20,one))
| join(converse(X_20),one) = converse(join(X_20,one)) ),
inference(resolve,[$cnf( $equal(join(converse(X_20),one),join(one,converse(X_20))) )],[refute_0_5209,refute_0_5210]) ).
cnf(refute_0_5212,plain,
join(converse(X_20),one) = converse(join(X_20,one)),
inference(resolve,[$cnf( $equal(join(one,converse(X_20)),converse(join(X_20,one))) )],[refute_0_4839,refute_0_5211]) ).
cnf(refute_0_5213,plain,
join(X0,join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0)),
inference(subst,[],[refute_0_421:[bind(X_25,$fot(one)),bind(X_26,$fot(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))]]) ).
cnf(refute_0_5214,plain,
converse(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),
inference(subst,[],[refute_0_43:[bind(X0,$fot(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))))]]) ).
cnf(refute_0_5215,plain,
( converse(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))) != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) != one
| converse(one) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))),join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5216,plain,
( converse(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))) != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| converse(one) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),one) )],[refute_0_4831,refute_0_5215]) ).
cnf(refute_0_5217,plain,
converse(one) = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),
inference(resolve,[$cnf( $equal(converse(converse(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)))),join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) )],[refute_0_5214,refute_0_5216]) ).
cnf(refute_0_5218,plain,
( converse(one) != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| converse(one) != one
| one = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) ),[0],$fot(one)]]) ).
cnf(refute_0_5219,plain,
( converse(one) != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| one = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_65,refute_0_5218]) ).
cnf(refute_0_5220,plain,
one = join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),
inference(resolve,[$cnf( $equal(converse(one),join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) )],[refute_0_5217,refute_0_5219]) ).
cnf(refute_0_5221,plain,
( one != join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))
| join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))))]]) ).
cnf(refute_0_5222,plain,
join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) = one,
inference(resolve,[$cnf( $equal(one,join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) )],[refute_0_5220,refute_0_5221]) ).
cnf(refute_0_5223,plain,
( join(X0,join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) != join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))
| join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)) != one
| join(X0,one) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_5224,plain,
( join(X0,join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))) != join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))
| join(X0,one) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top)),one) )],[refute_0_5222,refute_0_5223]) ).
cnf(refute_0_5225,plain,
join(X0,one) = join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(one,composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top))),join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))) )],[refute_0_5213,refute_0_5224]) ).
cnf(refute_0_5226,plain,
( join(X0,one) != join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))
| join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0)) = join(X0,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,one))),bind(Y,$fot(join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))))]]) ).
cnf(refute_0_5227,plain,
join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(X0,one),join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),X0))) )],[refute_0_5225,refute_0_5226]) ).
cnf(refute_0_5228,plain,
join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) = join(converse(X_20),one),
inference(subst,[],[refute_0_5227:[bind(X0,$fot(converse(X_20)))]]) ).
cnf(refute_0_5229,plain,
( join(converse(X_20),one) != converse(join(X_20,one))
| join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) != join(converse(X_20),one)
| join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) = converse(join(X_20,one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))))),bind(Y,$fot(join(converse(X_20),one))),bind(Z,$fot(converse(join(X_20,one))))]]) ).
cnf(refute_0_5230,plain,
( join(converse(X_20),one) != converse(join(X_20,one))
| join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) = converse(join(X_20,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))),join(converse(X_20),one)) )],[refute_0_5228,refute_0_5229]) ).
cnf(refute_0_5231,plain,
join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) = converse(join(X_20,one)),
inference(resolve,[$cnf( $equal(join(converse(X_20),one),converse(join(X_20,one))) )],[refute_0_5212,refute_0_5230]) ).
cnf(refute_0_5232,plain,
( converse(join(one,X_20)) != join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20)))
| join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))) != converse(join(X_20,one))
| converse(join(one,X_20)) = converse(join(X_20,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_20)),converse(join(X_20,one))) ),[0],$fot(join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))))]]) ).
cnf(refute_0_5233,plain,
( converse(join(one,X_20)) != join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20)))
| converse(join(one,X_20)) = converse(join(X_20,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20))),converse(join(X_20,one))) )],[refute_0_5231,refute_0_5232]) ).
cnf(refute_0_5234,plain,
converse(join(one,X_20)) = converse(join(X_20,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_20)),join(one,join(composition(complement(converse(composition(top,join(skolemFOFtoCNF_X0,complement(one))))),top),converse(X_20)))) )],[refute_0_4838,refute_0_5233]) ).
cnf(refute_0_5235,plain,
( converse(join(one,X_20)) != converse(join(X_20,one))
| converse(join(X_20,one)) = converse(join(one,X_20)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(one,X_20)))),bind(Y,$fot(converse(join(X_20,one))))]]) ).
cnf(refute_0_5236,plain,
converse(join(X_20,one)) = converse(join(one,X_20)),
inference(resolve,[$cnf( $equal(converse(join(one,X_20)),converse(join(X_20,one))) )],[refute_0_5234,refute_0_5235]) ).
cnf(refute_0_5237,plain,
converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one)) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5236:[bind(X_20,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5238,plain,
join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one)),
inference(subst,[],[refute_0_689:[bind(X_19,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5239,plain,
( converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one)) != converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one))
| join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one)))),bind(Z,$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5240,plain,
( converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one)) != converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_5238,refute_0_5239]) ).
cnf(refute_0_5241,plain,
join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),one)),converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5237,refute_0_5240]) ).
cnf(refute_0_5242,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))),bind(X_83,$fot(X_389))]]) ).
cnf(refute_0_5243,plain,
X_83 = meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2968:[bind(X_139,$fot(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5244,plain,
join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) = join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_460:[bind(X_26,$fot(one)),bind(X_27,$fot(meet(complement(X_25),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5245,plain,
join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))) = top,
inference(subst,[],[refute_0_1989:[bind(X_25,$fot(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))]]) ).
cnf(refute_0_5246,plain,
top = join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),
inference(subst,[],[refute_0_2771:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(X_170))]]) ).
cnf(refute_0_5247,plain,
( top != join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))
| join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))]]) ).
cnf(refute_0_5248,plain,
join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) )],[refute_0_5246,refute_0_5247]) ).
cnf(refute_0_5249,plain,
( join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))) != top
| join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != top
| join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))),top) ),[0,1,1,0],$fot(top)]]) ).
cnf(refute_0_5250,plain,
( join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))) != top
| join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),top) )],[refute_0_5248,refute_0_5249]) ).
cnf(refute_0_5251,plain,
join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(join(skolemFOFtoCNF_X0,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))),top) )],[refute_0_5245,refute_0_5250]) ).
cnf(refute_0_5252,plain,
join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))]]) ).
cnf(refute_0_5253,plain,
join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),
introduced(tautology,[refl,[$fot(join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))]]) ).
cnf(refute_0_5254,plain,
( complement(top) != zero
| join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))
| join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5255,plain,
( complement(top) != zero
| join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) )],[refute_0_5253,refute_0_5254]) ).
cnf(refute_0_5256,plain,
join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_5255]) ).
cnf(refute_0_5257,plain,
( join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))
| join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))
| join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))),bind(Y,$fot(join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))),bind(Z,$fot(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))]]) ).
cnf(refute_0_5258,plain,
( join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))
| join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) )],[refute_0_5256,refute_0_5257]) ).
cnf(refute_0_5259,plain,
join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) )],[refute_0_5252,refute_0_5258]) ).
cnf(refute_0_5260,plain,
join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) = join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))]]) ).
cnf(refute_0_5261,plain,
( join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))
| join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) != join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))
| join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) = join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))),join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))) ),[1,1],$fot(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))]]) ).
cnf(refute_0_5262,plain,
( join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) != join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))
| join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) = join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))),join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))) )],[refute_0_5260,refute_0_5261]) ).
cnf(refute_0_5263,plain,
join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) = join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),
inference(resolve,[$cnf( $equal(join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) )],[refute_0_5259,refute_0_5262]) ).
cnf(refute_0_5264,plain,
join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))),
inference(subst,[],[refute_0_2268:[bind(X_123,$fot(one)),bind(X_124,$fot(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))),bind(X_125,$fot(complement(top)))]]) ).
cnf(refute_0_5265,plain,
( join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) != join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))
| join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) != join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))
| join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))))),bind(Y,$fot(join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))),bind(Z,$fot(join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))))]]) ).
cnf(refute_0_5266,plain,
( join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) != join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))
| join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))),join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))) )],[refute_0_5264,refute_0_5265]) ).
cnf(refute_0_5267,plain,
join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) = join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))),join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) )],[refute_0_5263,refute_0_5266]) ).
cnf(refute_0_5268,plain,
( join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) != join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))
| join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) != top
| join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))),top) ),[0],$fot(join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))))]]) ).
cnf(refute_0_5269,plain,
( join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))) != top
| join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))),join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)))) )],[refute_0_5267,refute_0_5268]) ).
cnf(refute_0_5270,plain,
join(one,join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_170),meet(complement(skolemFOFtoCNF_X0),X_170)),join(one,complement(top))),top) )],[refute_0_5251,refute_0_5269]) ).
cnf(refute_0_5271,plain,
join(one,join(complement(X_171),meet(complement(skolemFOFtoCNF_X0),X_171))) = top,
inference(subst,[],[refute_0_5270:[bind(X_170,$fot(X_171))]]) ).
cnf(refute_0_5272,plain,
meet(X_171,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),X_171),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_171)),bind(X_15,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5273,plain,
( meet(X_171,complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),X_171)
| meet(complement(skolemFOFtoCNF_X0),X_171) = meet(X_171,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_171,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),X_171)))]]) ).
cnf(refute_0_5274,plain,
meet(complement(skolemFOFtoCNF_X0),X_171) = meet(X_171,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(X_171,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),X_171)) )],[refute_0_5272,refute_0_5273]) ).
cnf(refute_0_5275,plain,
( join(one,join(complement(X_171),meet(complement(skolemFOFtoCNF_X0),X_171))) != top
| meet(complement(skolemFOFtoCNF_X0),X_171) != meet(X_171,complement(skolemFOFtoCNF_X0))
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_171),meet(complement(skolemFOFtoCNF_X0),X_171))),top) ),[0,1,1],$fot(meet(X_171,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5276,plain,
( join(one,join(complement(X_171),meet(complement(skolemFOFtoCNF_X0),X_171))) != top
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),X_171),meet(X_171,complement(skolemFOFtoCNF_X0))) )],[refute_0_5274,refute_0_5275]) ).
cnf(refute_0_5277,plain,
join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(X_171),meet(complement(skolemFOFtoCNF_X0),X_171))),top) )],[refute_0_5271,refute_0_5276]) ).
cnf(refute_0_5278,plain,
join(one,join(complement(complement(X_83)),meet(complement(X_83),complement(skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_5277:[bind(X_171,$fot(complement(X_83)))]]) ).
cnf(refute_0_5279,plain,
( complement(complement(X_83)) != X_83
| join(one,join(complement(complement(X_83)),meet(complement(X_83),complement(skolemFOFtoCNF_X0)))) != top
| join(one,join(X_83,meet(complement(X_83),complement(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(complement(X_83)),meet(complement(X_83),complement(skolemFOFtoCNF_X0)))),top) ),[0,1,0],$fot(X_83)]]) ).
cnf(refute_0_5280,plain,
( join(one,join(complement(complement(X_83)),meet(complement(X_83),complement(skolemFOFtoCNF_X0)))) != top
| join(one,join(X_83,meet(complement(X_83),complement(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_5279]) ).
cnf(refute_0_5281,plain,
join(one,join(X_83,meet(complement(X_83),complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(complement(X_83)),meet(complement(X_83),complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5278,refute_0_5280]) ).
cnf(refute_0_5282,plain,
join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_5281:[bind(X_83,$fot(X_25))]]) ).
cnf(refute_0_5283,plain,
( join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) != join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0))))
| join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) != top
| join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))),top) ),[0],$fot(join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5284,plain,
( join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) != join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0))))
| join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5282,refute_0_5283]) ).
cnf(refute_0_5285,plain,
join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(X_25,join(one,meet(complement(X_25),complement(skolemFOFtoCNF_X0)))),join(one,join(X_25,meet(complement(X_25),complement(skolemFOFtoCNF_X0))))) )],[refute_0_5244,refute_0_5284]) ).
cnf(refute_0_5286,plain,
join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_5285:[bind(X_25,$fot(complement(X_83)))]]) ).
cnf(refute_0_5287,plain,
( X_83 != meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))))
| join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) != top
| X_83 = meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_5288,plain,
( X_83 != meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))))
| X_83 = meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5286,refute_0_5287]) ).
cnf(refute_0_5289,plain,
X_83 = meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))),
inference(resolve,[$cnf( $equal(X_83,meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(join(complement(X_83),join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5243,refute_0_5288]) ).
cnf(refute_0_5290,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) = meet(complement(skolemFOFtoCNF_X0),X_83),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(skolemFOFtoCNF_X0),X_83)))]]) ).
cnf(refute_0_5291,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) = meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))))]]) ).
cnf(refute_0_5292,plain,
( complement(complement(X_83)) != X_83
| meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) != meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83)))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) = meet(complement(skolemFOFtoCNF_X0),X_83) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))),meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83)))) ),[1,1],$fot(X_83)]]) ).
cnf(refute_0_5293,plain,
( complement(complement(X_83)) != X_83
| meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) = meet(complement(skolemFOFtoCNF_X0),X_83) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))),meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83)))) )],[refute_0_5291,refute_0_5292]) ).
cnf(refute_0_5294,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) = meet(complement(skolemFOFtoCNF_X0),X_83),
inference(resolve,[$cnf( $equal(complement(complement(X_83)),X_83) )],[refute_0_211,refute_0_5293]) ).
cnf(refute_0_5295,plain,
meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0))),bind(X_15,$fot(complement(complement(X_83))))]]) ).
cnf(refute_0_5296,plain,
( meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83)))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) != meet(complement(skolemFOFtoCNF_X0),X_83)
| meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),X_83) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),X_83)))]]) ).
cnf(refute_0_5297,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))) != meet(complement(skolemFOFtoCNF_X0),X_83)
| meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),X_83) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83)))) )],[refute_0_5295,refute_0_5296]) ).
cnf(refute_0_5298,plain,
meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),X_83),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(X_83))),meet(complement(skolemFOFtoCNF_X0),X_83)) )],[refute_0_5294,refute_0_5297]) ).
cnf(refute_0_5299,plain,
join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5300,plain,
( join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),X_83)
| join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),X_83))]]) ).
cnf(refute_0_5301,plain,
( meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),X_83)
| join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_5299,refute_0_5300]) ).
cnf(refute_0_5302,plain,
join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),X_83)) )],[refute_0_5298,refute_0_5301]) ).
cnf(refute_0_5303,plain,
join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5304,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5305,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_5303,refute_0_5304]) ).
cnf(refute_0_5306,plain,
join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_5305]) ).
cnf(refute_0_5307,plain,
( join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(skolemFOFtoCNF_X0),X_83))
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),X_83))))]]) ).
cnf(refute_0_5308,plain,
( join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(skolemFOFtoCNF_X0),X_83))
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_5306,refute_0_5307]) ).
cnf(refute_0_5309,plain,
join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(skolemFOFtoCNF_X0),X_83))) )],[refute_0_5302,refute_0_5308]) ).
cnf(refute_0_5310,plain,
( join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(skolemFOFtoCNF_X0),X_83))
| join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) != meet(complement(skolemFOFtoCNF_X0),X_83)
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),X_83) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),X_83)))]]) ).
cnf(refute_0_5311,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)) != meet(complement(skolemFOFtoCNF_X0),X_83)
| join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),X_83) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(skolemFOFtoCNF_X0),X_83))) )],[refute_0_5309,refute_0_5310]) ).
cnf(refute_0_5312,plain,
join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),X_83),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0),X_83)),meet(complement(skolemFOFtoCNF_X0),X_83)) )],[refute_0_5290,refute_0_5311]) ).
cnf(refute_0_5313,plain,
join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) = join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5314,plain,
( join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),X_83)
| join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) != join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))
| join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) = join(one,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),X_83))]]) ).
cnf(refute_0_5315,plain,
( join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),X_83)
| join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) = join(one,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_5313,refute_0_5314]) ).
cnf(refute_0_5316,plain,
join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) = join(one,meet(complement(skolemFOFtoCNF_X0),X_83)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),X_83)) )],[refute_0_5312,refute_0_5315]) ).
cnf(refute_0_5317,plain,
join(X0,join(X1,join(X_164,X1))) = join(join(X0,X1),join(X_164,X1)),
inference(subst,[],[refute_0_123:[bind(X2,$fot(join(X_164,X1)))]]) ).
cnf(refute_0_5318,plain,
join(X_164,X1) = join(X1,join(X_164,X1)),
inference(subst,[],[refute_0_2244:[bind(X_123,$fot(X_164)),bind(X_125,$fot(X1))]]) ).
cnf(refute_0_5319,plain,
( join(X_164,X1) != join(X1,join(X_164,X1))
| join(X1,join(X_164,X1)) = join(X_164,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_164,X1))),bind(Y,$fot(join(X1,join(X_164,X1))))]]) ).
cnf(refute_0_5320,plain,
join(X1,join(X_164,X1)) = join(X_164,X1),
inference(resolve,[$cnf( $equal(join(X_164,X1),join(X1,join(X_164,X1))) )],[refute_0_5318,refute_0_5319]) ).
cnf(refute_0_5321,plain,
( join(X0,join(X1,join(X_164,X1))) != join(join(X0,X1),join(X_164,X1))
| join(X1,join(X_164,X1)) != join(X_164,X1)
| join(X0,join(X_164,X1)) = join(join(X0,X1),join(X_164,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_164,X1))),join(join(X0,X1),join(X_164,X1))) ),[0,1],$fot(join(X_164,X1))]]) ).
cnf(refute_0_5322,plain,
( join(X0,join(X1,join(X_164,X1))) != join(join(X0,X1),join(X_164,X1))
| join(X0,join(X_164,X1)) = join(join(X0,X1),join(X_164,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_164,X1)),join(X_164,X1)) )],[refute_0_5320,refute_0_5321]) ).
cnf(refute_0_5323,plain,
join(X0,join(X_164,X1)) = join(join(X0,X1),join(X_164,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_164,X1))),join(join(X0,X1),join(X_164,X1))) )],[refute_0_5317,refute_0_5322]) ).
cnf(refute_0_5324,plain,
join(X1,join(X0,join(X1,X_164))) = join(X0,join(X1,X_164)),
inference(subst,[],[refute_0_5089:[bind(X0,$fot(X1)),bind(X2,$fot(X_164)),bind(X_164,$fot(X0))]]) ).
cnf(refute_0_5325,plain,
join(join(X0,X1),X_164) = join(X0,join(X1,X_164)),
inference(subst,[],[refute_0_267:[bind(X2,$fot(X_164))]]) ).
cnf(refute_0_5326,plain,
join(X1,join(join(X0,X1),X_164)) = join(X1,join(join(X0,X1),X_164)),
introduced(tautology,[refl,[$fot(join(X1,join(join(X0,X1),X_164)))]]) ).
cnf(refute_0_5327,plain,
( join(X1,join(join(X0,X1),X_164)) != join(X1,join(join(X0,X1),X_164))
| join(join(X0,X1),X_164) != join(X0,join(X1,X_164))
| join(X1,join(join(X0,X1),X_164)) = join(X1,join(X0,join(X1,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(join(X0,X1),X_164)),join(X1,join(join(X0,X1),X_164))) ),[1,1],$fot(join(X0,join(X1,X_164)))]]) ).
cnf(refute_0_5328,plain,
( join(join(X0,X1),X_164) != join(X0,join(X1,X_164))
| join(X1,join(join(X0,X1),X_164)) = join(X1,join(X0,join(X1,X_164))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_164)),join(X1,join(join(X0,X1),X_164))) )],[refute_0_5326,refute_0_5327]) ).
cnf(refute_0_5329,plain,
join(X1,join(join(X0,X1),X_164)) = join(X1,join(X0,join(X1,X_164))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_164),join(X0,join(X1,X_164))) )],[refute_0_5325,refute_0_5328]) ).
cnf(refute_0_5330,plain,
( join(X1,join(X0,join(X1,X_164))) != join(X0,join(X1,X_164))
| join(X1,join(join(X0,X1),X_164)) != join(X1,join(X0,join(X1,X_164)))
| join(X1,join(join(X0,X1),X_164)) = join(X0,join(X1,X_164)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(X1,join(join(X0,X1),X_164)))),bind(Y,$fot(join(X1,join(X0,join(X1,X_164))))),bind(Z,$fot(join(X0,join(X1,X_164))))]]) ).
cnf(refute_0_5331,plain,
( join(X1,join(X0,join(X1,X_164))) != join(X0,join(X1,X_164))
| join(X1,join(join(X0,X1),X_164)) = join(X0,join(X1,X_164)) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_164)),join(X1,join(X0,join(X1,X_164)))) )],[refute_0_5329,refute_0_5330]) ).
cnf(refute_0_5332,plain,
join(X1,join(join(X0,X1),X_164)) = join(X0,join(X1,X_164)),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,X_164))),join(X0,join(X1,X_164))) )],[refute_0_5324,refute_0_5331]) ).
cnf(refute_0_5333,plain,
join(join(X0,X1),join(X_164,X1)) = join(X1,join(join(X0,X1),X_164)),
inference(subst,[],[refute_0_2266:[bind(X_123,$fot(join(X0,X1))),bind(X_124,$fot(X1)),bind(X_125,$fot(X_164))]]) ).
cnf(refute_0_5334,plain,
( join(X1,join(join(X0,X1),X_164)) != join(X0,join(X1,X_164))
| join(join(X0,X1),join(X_164,X1)) != join(X1,join(join(X0,X1),X_164))
| join(join(X0,X1),join(X_164,X1)) = join(X0,join(X1,X_164)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(X0,X1),join(X_164,X1)))),bind(Y,$fot(join(X1,join(join(X0,X1),X_164)))),bind(Z,$fot(join(X0,join(X1,X_164))))]]) ).
cnf(refute_0_5335,plain,
( join(X1,join(join(X0,X1),X_164)) != join(X0,join(X1,X_164))
| join(join(X0,X1),join(X_164,X1)) = join(X0,join(X1,X_164)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_164,X1)),join(X1,join(join(X0,X1),X_164))) )],[refute_0_5333,refute_0_5334]) ).
cnf(refute_0_5336,plain,
join(join(X0,X1),join(X_164,X1)) = join(X0,join(X1,X_164)),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_164)),join(X0,join(X1,X_164))) )],[refute_0_5332,refute_0_5335]) ).
cnf(refute_0_5337,plain,
( join(X0,join(X_164,X1)) != join(join(X0,X1),join(X_164,X1))
| join(join(X0,X1),join(X_164,X1)) != join(X0,join(X1,X_164))
| join(X0,join(X_164,X1)) = join(X0,join(X1,X_164)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_164,X1)),join(X0,join(X1,X_164))) ),[0],$fot(join(join(X0,X1),join(X_164,X1)))]]) ).
cnf(refute_0_5338,plain,
( join(X0,join(X_164,X1)) != join(join(X0,X1),join(X_164,X1))
| join(X0,join(X_164,X1)) = join(X0,join(X1,X_164)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_164,X1)),join(X0,join(X1,X_164))) )],[refute_0_5336,refute_0_5337]) ).
cnf(refute_0_5339,plain,
join(X0,join(X_164,X1)) = join(X0,join(X1,X_164)),
inference(resolve,[$cnf( $equal(join(X0,join(X_164,X1)),join(join(X0,X1),join(X_164,X1))) )],[refute_0_5323,refute_0_5338]) ).
cnf(refute_0_5340,plain,
( join(X0,join(X_164,X1)) != join(X0,join(X1,X_164))
| join(X0,join(X1,X_164)) = join(X0,join(X_164,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X_164,X1)))),bind(Y,$fot(join(X0,join(X1,X_164))))]]) ).
cnf(refute_0_5341,plain,
join(X0,join(X1,X_164)) = join(X0,join(X_164,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_164,X1)),join(X0,join(X1,X_164))) )],[refute_0_5339,refute_0_5340]) ).
cnf(refute_0_5342,plain,
join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top))) = join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5341:[bind(X0,$fot(one)),bind(X1,$fot(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),bind(X_164,$fot(complement(top)))]]) ).
cnf(refute_0_5343,plain,
join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(one)),bind(X1,$fot(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),bind(X2,$fot(complement(top)))]]) ).
cnf(refute_0_5344,plain,
( join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) != join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top)))
| join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top))) != join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))
| join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))),bind(Y,$fot(join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top))))),bind(Z,$fot(join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5345,plain,
( join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top))) != join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))
| join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)),join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_5343,refute_0_5344]) ).
cnf(refute_0_5346,plain,
join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)),complement(top))),join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_5342,refute_0_5345]) ).
cnf(refute_0_5347,plain,
( join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) != join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))
| join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) != join(one,meet(complement(skolemFOFtoCNF_X0),X_83))
| join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))),bind(Y,$fot(join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),X_83))))]]) ).
cnf(refute_0_5348,plain,
( join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))) != join(one,meet(complement(skolemFOFtoCNF_X0),X_83))
| join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,meet(complement(skolemFOFtoCNF_X0),X_83)) ),
inference(resolve,[$cnf( $equal(join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)),join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))))) )],[refute_0_5346,refute_0_5347]) ).
cnf(refute_0_5349,plain,
join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) = join(one,meet(complement(skolemFOFtoCNF_X0),X_83)),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0)))),join(one,meet(complement(skolemFOFtoCNF_X0),X_83))) )],[refute_0_5316,refute_0_5348]) ).
cnf(refute_0_5350,plain,
meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) = meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))),
introduced(tautology,[refl,[$fot(meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))))]]) ).
cnf(refute_0_5351,plain,
( join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) != join(one,meet(complement(skolemFOFtoCNF_X0),X_83))
| meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) != meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))
| meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) = meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))),meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))) ),[1,1],$fot(join(one,meet(complement(skolemFOFtoCNF_X0),X_83)))]]) ).
cnf(refute_0_5352,plain,
( join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)) != join(one,meet(complement(skolemFOFtoCNF_X0),X_83))
| meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) = meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83))) ),
inference(resolve,[$cnf( $equal(meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))),meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))) )],[refute_0_5350,refute_0_5351]) ).
cnf(refute_0_5353,plain,
meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) = meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83))),
inference(resolve,[$cnf( $equal(join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)),join(one,meet(complement(skolemFOFtoCNF_X0),X_83))) )],[refute_0_5349,refute_0_5352]) ).
cnf(refute_0_5354,plain,
( X_83 != meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))
| meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))) != meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83)))
| X_83 = meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83)))) ),[0],$fot(meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))))]]) ).
cnf(refute_0_5355,plain,
( X_83 != meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))
| X_83 = meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83))) ),
inference(resolve,[$cnf( $equal(meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top))),meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83)))) )],[refute_0_5353,refute_0_5354]) ).
cnf(refute_0_5356,plain,
X_83 = meet(X_83,join(one,meet(complement(skolemFOFtoCNF_X0),X_83))),
inference(resolve,[$cnf( $equal(X_83,meet(X_83,join(join(one,meet(complement(complement(X_83)),complement(skolemFOFtoCNF_X0))),complement(top)))) )],[refute_0_5289,refute_0_5355]) ).
cnf(refute_0_5357,plain,
X_389 = meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))),
inference(subst,[],[refute_0_5356:[bind(X_83,$fot(X_389))]]) ).
cnf(refute_0_5358,plain,
( X_389 != meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))
| meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))) = X_389 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_389)),bind(Y,$fot(meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))))]]) ).
cnf(refute_0_5359,plain,
meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))) = X_389,
inference(resolve,[$cnf( $equal(X_389,meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))) )],[refute_0_5357,refute_0_5358]) ).
cnf(refute_0_5360,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) != join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))))
| meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))) != X_389
| join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))))) ),[1,1],$fot(X_389)]]) ).
cnf(refute_0_5361,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) != join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))))
| join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) ),
inference(resolve,[$cnf( $equal(meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))),X_389) )],[refute_0_5359,refute_0_5360]) ).
cnf(refute_0_5362,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),meet(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))))) )],[refute_0_5242,refute_0_5361]) ).
cnf(refute_0_5363,plain,
join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))) = join(one,X_389),
inference(subst,[],[refute_0_2897:[bind(X_25,$fot(one)),bind(X_26,$fot(X_389)),bind(X_389,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5364,plain,
join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) = join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_389)),bind(X_124,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),X_389))))]]) ).
cnf(refute_0_5365,plain,
( join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))) != join(one,X_389)
| join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) != join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))
| join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) = join(one,X_389) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389))),bind(Y,$fot(join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))))),bind(Z,$fot(join(one,X_389)))]]) ).
cnf(refute_0_5366,plain,
( join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))) != join(one,X_389)
| join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) = join(one,X_389) ),
inference(resolve,[$cnf( $equal(join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389),join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389)))) )],[refute_0_5364,refute_0_5365]) ).
cnf(refute_0_5367,plain,
join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) = join(one,X_389),
inference(resolve,[$cnf( $equal(join(X_389,join(one,meet(complement(skolemFOFtoCNF_X0),X_389))),join(one,X_389)) )],[refute_0_5363,refute_0_5366]) ).
cnf(refute_0_5368,plain,
( join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389) != join(one,X_389)
| join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) != join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389)
| join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(one,X_389) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389)) ),[1],$fot(join(one,X_389))]]) ).
cnf(refute_0_5369,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) != join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389)
| join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(one,X_389) ),
inference(resolve,[$cnf( $equal(join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389),join(one,X_389)) )],[refute_0_5367,refute_0_5368]) ).
cnf(refute_0_5370,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),X_389)) = join(one,X_389),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),join(join(one,meet(complement(skolemFOFtoCNF_X0),X_389)),X_389)) )],[refute_0_5362,refute_0_5369]) ).
cnf(refute_0_5371,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5370:[bind(X_389,$fot(converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5372,plain,
( join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5373,plain,
( join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5371,refute_0_5372]) ).
cnf(refute_0_5374,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5241,refute_0_5373]) ).
cnf(refute_0_5375,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != one
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5376,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != one
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = one ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5374,refute_0_5375]) ).
cnf(refute_0_5377,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4657,refute_0_5376]) ).
cnf(refute_0_5378,plain,
complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5379,plain,
( complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != one
| complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5380,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != one
| complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5378,refute_0_5379]) ).
cnf(refute_0_5381,plain,
complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = complement(one),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),one) )],[refute_0_5377,refute_0_5380]) ).
cnf(refute_0_5382,plain,
complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one)) = complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_2417:[bind(X2,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5383,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(one)),bind(X_83,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5384,plain,
( complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one)) != complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) != complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))),bind(Y,$fot(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one)))),bind(Z,$fot(complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_5385,plain,
( complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one)) != complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)),complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one))) )],[refute_0_5383,refute_0_5384]) ).
cnf(refute_0_5386,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one)),complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5382,refute_0_5385]) ).
cnf(refute_0_5387,plain,
( complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != complement(one)
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) != complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))),bind(Y,$fot(complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5388,plain,
( complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != complement(one)
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)),complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5386,refute_0_5387]) ).
cnf(refute_0_5389,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),complement(one)) )],[refute_0_5381,refute_0_5388]) ).
cnf(refute_0_5390,plain,
join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))))]]) ).
cnf(refute_0_5391,plain,
( join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5392,plain,
( meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) )],[refute_0_5390,refute_0_5391]) ).
cnf(refute_0_5393,plain,
join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)),complement(one)) )],[refute_0_5389,refute_0_5392]) ).
cnf(refute_0_5394,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))))]]) ).
cnf(refute_0_5395,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5396,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) )],[refute_0_5394,refute_0_5395]) ).
cnf(refute_0_5397,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_5396]) ).
cnf(refute_0_5398,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5399,plain,
( join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) )],[refute_0_5397,refute_0_5398]) ).
cnf(refute_0_5400,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5393,refute_0_5399]) ).
cnf(refute_0_5401,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(skolemFOFtoCNF_X0,complement(one))) ),[0],$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))))]]) ).
cnf(refute_0_5402,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))
| complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5400,refute_0_5401]) ).
cnf(refute_0_5403,plain,
complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(one)))) )],[refute_0_4646,refute_0_5402]) ).
cnf(refute_0_5404,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),X_180))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),X_180))) ),[1,0,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5405,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),X_180))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5403,refute_0_5404]) ).
cnf(refute_0_5406,plain,
meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),X_180))) )],[refute_0_4404,refute_0_5405]) ).
cnf(refute_0_5407,plain,
complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))),
inference(subst,[],[refute_0_2044:[bind(X_187,$fot(one)),bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(X_180))]]) ).
cnf(refute_0_5408,plain,
join(join(skolemFOFtoCNF_X0,complement(one)),X_180) = join(skolemFOFtoCNF_X0,join(complement(one),X_180)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one))),bind(X2,$fot(X_180))]]) ).
cnf(refute_0_5409,plain,
complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)),
introduced(tautology,[refl,[$fot(complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)))]]) ).
cnf(refute_0_5410,plain,
( complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) != complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))
| join(join(skolemFOFtoCNF_X0,complement(one)),X_180) != join(skolemFOFtoCNF_X0,join(complement(one),X_180))
| complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)),complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,join(complement(one),X_180)))]]) ).
cnf(refute_0_5411,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),X_180) != join(skolemFOFtoCNF_X0,join(complement(one),X_180))
| complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))) ),
inference(resolve,[$cnf( $equal(complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)),complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))) )],[refute_0_5409,refute_0_5410]) ).
cnf(refute_0_5412,plain,
complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),X_180),join(skolemFOFtoCNF_X0,join(complement(one),X_180))) )],[refute_0_5408,refute_0_5411]) ).
cnf(refute_0_5413,plain,
( complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) != complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180)))
| complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))) != meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))
| complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))))]]) ).
cnf(refute_0_5414,plain,
( complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))) != meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))
| complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))) ),
inference(resolve,[$cnf( $equal(complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)),complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180)))) )],[refute_0_5412,refute_0_5413]) ).
cnf(refute_0_5415,plain,
complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(complement(one),X_180))),meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))) )],[refute_0_5407,refute_0_5414]) ).
cnf(refute_0_5416,plain,
( complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)) != meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))) ),[1],$fot(meet(one,complement(join(skolemFOFtoCNF_X0,X_180))))]]) ).
cnf(refute_0_5417,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))) ),
inference(resolve,[$cnf( $equal(complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180)),meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))) )],[refute_0_5415,refute_0_5416]) ).
cnf(refute_0_5418,plain,
meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),complement(join(join(skolemFOFtoCNF_X0,complement(one)),X_180))) )],[refute_0_5406,refute_0_5417]) ).
cnf(refute_0_5419,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))),
inference(subst,[],[refute_0_3031:[bind(X_15,$fot(complement(X_180)))]]) ).
cnf(refute_0_5420,plain,
meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5421,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5422,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5403,refute_0_5421]) ).
cnf(refute_0_5423,plain,
meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(complement(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5420,refute_0_5422]) ).
cnf(refute_0_5424,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5425,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_1756,refute_0_5424]) ).
cnf(refute_0_5426,plain,
meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5423,refute_0_5425]) ).
cnf(refute_0_5427,plain,
meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),
introduced(tautology,[refl,[$fot(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)))]]) ).
cnf(refute_0_5428,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5429,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180))) )],[refute_0_5427,refute_0_5428]) ).
cnf(refute_0_5430,plain,
meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5426,refute_0_5429]) ).
cnf(refute_0_5431,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180)))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180)))))]]) ).
cnf(refute_0_5432,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180)))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180))) )],[refute_0_5430,refute_0_5431]) ).
cnf(refute_0_5433,plain,
meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(X_180)),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180)))) )],[refute_0_5419,refute_0_5432]) ).
cnf(refute_0_5434,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180)))
| meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))))]]) ).
cnf(refute_0_5435,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)) != meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180)))) )],[refute_0_5433,refute_0_5434]) ).
cnf(refute_0_5436,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,complement(X_180))) = meet(one,complement(join(skolemFOFtoCNF_X0,X_180))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(X_180)),meet(one,complement(join(skolemFOFtoCNF_X0,X_180)))) )],[refute_0_5418,refute_0_5435]) ).
cnf(refute_0_5437,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5436:[bind(X_180,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5438,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5439,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_4361,refute_0_5438]) ).
cnf(refute_0_5440,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_5437,refute_0_5439]) ).
cnf(refute_0_5441,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5442,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_5440,refute_0_5441]) ).
cnf(refute_0_5443,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),meet(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4403,refute_0_5442]) ).
cnf(refute_0_5444,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),one)) ),[0],$fot(meet(one,complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5445,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5443,refute_0_5444]) ).
cnf(refute_0_5446,plain,
meet(X_274,one) = join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(X_274,one))),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(skolemFOFtoCNF_X0)),bind(X_97,$fot(meet(X_274,one)))]]) ).
cnf(refute_0_5447,plain,
meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)),
inference(subst,[],[refute_0_3027:[bind(X_178,$fot(X_216))]]) ).
cnf(refute_0_5448,plain,
meet(X_216,one) = meet(one,X_216),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_216)),bind(X_15,$fot(one))]]) ).
cnf(refute_0_5449,plain,
( meet(X_216,one) != meet(one,X_216)
| meet(one,X_216) = meet(X_216,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_216,one))),bind(Y,$fot(meet(one,X_216)))]]) ).
cnf(refute_0_5450,plain,
meet(one,X_216) = meet(X_216,one),
inference(resolve,[$cnf( $equal(meet(X_216,one),meet(one,X_216)) )],[refute_0_5448,refute_0_5449]) ).
cnf(refute_0_5451,plain,
( meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))
| meet(one,X_216) != meet(X_216,one)
| meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(X_216,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))) ),[1,1],$fot(meet(X_216,one))]]) ).
cnf(refute_0_5452,plain,
( meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))
| meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(X_216,one)) ),
inference(resolve,[$cnf( $equal(meet(one,X_216),meet(X_216,one)) )],[refute_0_5450,refute_0_5451]) ).
cnf(refute_0_5453,plain,
meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(X_216,one)),
inference(resolve,[$cnf( $equal(meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))) )],[refute_0_5447,refute_0_5452]) ).
cnf(refute_0_5454,plain,
meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)),
inference(subst,[],[refute_0_5453:[bind(X_216,$fot(X_274))]]) ).
cnf(refute_0_5455,plain,
( meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(X_274,one))
| meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)) = meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),meet(X_274,one))))]]) ).
cnf(refute_0_5456,plain,
meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)) = meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(X_274,one))) )],[refute_0_5454,refute_0_5455]) ).
cnf(refute_0_5457,plain,
( meet(X_274,one) != join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)))
| meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)) != meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(X_274,one) = join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_274,one),join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)))) ),[1,1],$fot(meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5458,plain,
( meet(X_274,one) != join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)))
| meet(X_274,one) = join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5456,refute_0_5457]) ).
cnf(refute_0_5459,plain,
meet(X_274,one) = join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(X_274,one),join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(X_274,one)))) )],[refute_0_5446,refute_0_5458]) ).
cnf(refute_0_5460,plain,
meet(meet(X_274,one),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,meet(X_274,one)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(skolemFOFtoCNF_X0)),bind(X_15,$fot(meet(X_274,one)))]]) ).
cnf(refute_0_5461,plain,
join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5462,plain,
( join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(X_274,one),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,meet(X_274,one))
| join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,meet(X_274,one)))]]) ).
cnf(refute_0_5463,plain,
( meet(meet(X_274,one),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,meet(X_274,one))
| join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5461,refute_0_5462]) ).
cnf(refute_0_5464,plain,
join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(X_274,one))) )],[refute_0_5460,refute_0_5463]) ).
cnf(refute_0_5465,plain,
( join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(X_274,one) != join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(X_274,one) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_274,one),join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5466,plain,
( meet(X_274,one) != join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(X_274,one) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5464,refute_0_5465]) ).
cnf(refute_0_5467,plain,
meet(X_274,one) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(X_274,one),join(meet(meet(X_274,one),skolemFOFtoCNF_X0),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5459,refute_0_5466]) ).
cnf(refute_0_5468,plain,
meet(one,X_216) = join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(skolemFOFtoCNF_X0)),bind(X_97,$fot(meet(one,X_216)))]]) ).
cnf(refute_0_5469,plain,
( meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))
| meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)) = meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))))]]) ).
cnf(refute_0_5470,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)) = meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216))) )],[refute_0_5447,refute_0_5469]) ).
cnf(refute_0_5471,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)) != meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,X_216) != join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)))
| meet(one,X_216) = join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_216),join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)))) ),[1,1],$fot(meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5472,plain,
( meet(one,X_216) != join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)))
| meet(one,X_216) = join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5470,refute_0_5471]) ).
cnf(refute_0_5473,plain,
meet(one,X_216) = join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,X_216),join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),meet(one,X_216)))) )],[refute_0_5468,refute_0_5472]) ).
cnf(refute_0_5474,plain,
meet(meet(one,X_216),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,meet(one,X_216)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(skolemFOFtoCNF_X0)),bind(X_15,$fot(meet(one,X_216)))]]) ).
cnf(refute_0_5475,plain,
join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5476,plain,
( join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,X_216),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,meet(one,X_216))
| join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,meet(one,X_216)))]]) ).
cnf(refute_0_5477,plain,
( meet(meet(one,X_216),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,meet(one,X_216))
| join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5475,refute_0_5476]) ).
cnf(refute_0_5478,plain,
join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,X_216))) )],[refute_0_5474,refute_0_5477]) ).
cnf(refute_0_5479,plain,
( join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,X_216) != join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,X_216) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_216),join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5480,plain,
( meet(one,X_216) != join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,X_216) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5478,refute_0_5479]) ).
cnf(refute_0_5481,plain,
meet(one,X_216) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,X_216),join(meet(meet(one,X_216),skolemFOFtoCNF_X0),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5473,refute_0_5480]) ).
cnf(refute_0_5482,plain,
meet(skolemFOFtoCNF_X0,meet(one,X_216)) = meet(skolemFOFtoCNF_X0,X_216),
inference(subst,[],[refute_0_3131:[bind(X_83,$fot(X_216))]]) ).
cnf(refute_0_5483,plain,
join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5484,plain,
( join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,meet(one,X_216)) != meet(skolemFOFtoCNF_X0,X_216)
| join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,X_216))]]) ).
cnf(refute_0_5485,plain,
( meet(skolemFOFtoCNF_X0,meet(one,X_216)) != meet(skolemFOFtoCNF_X0,X_216)
| join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5483,refute_0_5484]) ).
cnf(refute_0_5486,plain,
join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(skolemFOFtoCNF_X0,X_216)) )],[refute_0_5482,refute_0_5485]) ).
cnf(refute_0_5487,plain,
( join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,X_216) != join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,X_216) = join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_216),join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5488,plain,
( meet(one,X_216) != join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,X_216) = join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5486,refute_0_5487]) ).
cnf(refute_0_5489,plain,
meet(one,X_216) = join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,X_216),join(meet(skolemFOFtoCNF_X0,meet(one,X_216)),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5481,refute_0_5488]) ).
cnf(refute_0_5490,plain,
( meet(one,X_216) != join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,X_216) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(one,X_216))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5491,plain,
join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,X_216),
inference(resolve,[$cnf( $equal(meet(one,X_216),join(meet(skolemFOFtoCNF_X0,X_216),meet(X_216,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5489,refute_0_5490]) ).
cnf(refute_0_5492,plain,
join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,X_274),
inference(subst,[],[refute_0_5491:[bind(X_216,$fot(X_274))]]) ).
cnf(refute_0_5493,plain,
meet(skolemFOFtoCNF_X0,X_446) = meet(skolemFOFtoCNF_X0,meet(one,X_446)),
inference(subst,[],[refute_0_3103:[bind(X_83,$fot(X_446))]]) ).
cnf(refute_0_5494,plain,
meet(X_446,one) = meet(one,X_446),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_446)),bind(X_15,$fot(one))]]) ).
cnf(refute_0_5495,plain,
( meet(X_446,one) != meet(one,X_446)
| meet(one,X_446) = meet(X_446,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_446,one))),bind(Y,$fot(meet(one,X_446)))]]) ).
cnf(refute_0_5496,plain,
meet(one,X_446) = meet(X_446,one),
inference(resolve,[$cnf( $equal(meet(X_446,one),meet(one,X_446)) )],[refute_0_5494,refute_0_5495]) ).
cnf(refute_0_5497,plain,
( meet(one,X_446) != meet(X_446,one)
| meet(skolemFOFtoCNF_X0,X_446) != meet(skolemFOFtoCNF_X0,meet(one,X_446))
| meet(skolemFOFtoCNF_X0,X_446) = meet(skolemFOFtoCNF_X0,meet(X_446,one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_446),meet(skolemFOFtoCNF_X0,meet(one,X_446))) ),[1,1],$fot(meet(X_446,one))]]) ).
cnf(refute_0_5498,plain,
( meet(skolemFOFtoCNF_X0,X_446) != meet(skolemFOFtoCNF_X0,meet(one,X_446))
| meet(skolemFOFtoCNF_X0,X_446) = meet(skolemFOFtoCNF_X0,meet(X_446,one)) ),
inference(resolve,[$cnf( $equal(meet(one,X_446),meet(X_446,one)) )],[refute_0_5496,refute_0_5497]) ).
cnf(refute_0_5499,plain,
meet(skolemFOFtoCNF_X0,X_446) = meet(skolemFOFtoCNF_X0,meet(X_446,one)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_446),meet(skolemFOFtoCNF_X0,meet(one,X_446))) )],[refute_0_5493,refute_0_5498]) ).
cnf(refute_0_5500,plain,
( meet(skolemFOFtoCNF_X0,X_446) != meet(skolemFOFtoCNF_X0,meet(X_446,one))
| meet(skolemFOFtoCNF_X0,meet(X_446,one)) = meet(skolemFOFtoCNF_X0,X_446) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_446))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,meet(X_446,one))))]]) ).
cnf(refute_0_5501,plain,
meet(skolemFOFtoCNF_X0,meet(X_446,one)) = meet(skolemFOFtoCNF_X0,X_446),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_446),meet(skolemFOFtoCNF_X0,meet(X_446,one))) )],[refute_0_5499,refute_0_5500]) ).
cnf(refute_0_5502,plain,
meet(skolemFOFtoCNF_X0,meet(X_274,one)) = meet(skolemFOFtoCNF_X0,X_274),
inference(subst,[],[refute_0_5501:[bind(X_446,$fot(X_274))]]) ).
cnf(refute_0_5503,plain,
join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5504,plain,
( join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,meet(X_274,one)) != meet(skolemFOFtoCNF_X0,X_274)
| join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,X_274))]]) ).
cnf(refute_0_5505,plain,
( meet(skolemFOFtoCNF_X0,meet(X_274,one)) != meet(skolemFOFtoCNF_X0,X_274)
| join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5503,refute_0_5504]) ).
cnf(refute_0_5506,plain,
join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(skolemFOFtoCNF_X0,X_274)) )],[refute_0_5502,refute_0_5505]) ).
cnf(refute_0_5507,plain,
( join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,X_274)
| join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,X_274) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,X_274)))]]) ).
cnf(refute_0_5508,plain,
( join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,X_274)
| join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,X_274) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5506,refute_0_5507]) ).
cnf(refute_0_5509,plain,
join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,X_274),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_274),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,X_274)) )],[refute_0_5492,refute_0_5508]) ).
cnf(refute_0_5510,plain,
( join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,X_274)
| meet(X_274,one) != join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(X_274,one) = meet(one,X_274) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_274,one),join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(meet(one,X_274))]]) ).
cnf(refute_0_5511,plain,
( meet(X_274,one) != join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(X_274,one) = meet(one,X_274) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,X_274)) )],[refute_0_5509,refute_0_5510]) ).
cnf(refute_0_5512,plain,
meet(X_274,one) = meet(one,X_274),
inference(resolve,[$cnf( $equal(meet(X_274,one),join(meet(skolemFOFtoCNF_X0,meet(X_274,one)),meet(X_274,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5467,refute_0_5511]) ).
cnf(refute_0_5513,plain,
meet(complement(skolemFOFtoCNF_X0),one) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_5512:[bind(X_274,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5514,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),one)) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5515,plain,
( meet(one,complement(composition(top,skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5513,refute_0_5514]) ).
cnf(refute_0_5516,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_5445,refute_0_5515]) ).
cnf(refute_0_5517,plain,
meet(one,complement(composition(top,skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_4383,refute_0_5516]) ).
cnf(refute_0_5518,plain,
( complement(composition(top,skolemFOFtoCNF_X0)) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(composition(top,skolemFOFtoCNF_X0))))
| meet(one,complement(composition(top,skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,skolemFOFtoCNF_X0)),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5519,plain,
( complement(composition(top,skolemFOFtoCNF_X0)) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(composition(top,skolemFOFtoCNF_X0))))
| complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(top,skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5517,refute_0_5518]) ).
cnf(refute_0_5520,plain,
complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(top,skolemFOFtoCNF_X0)),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_4360,refute_0_5519]) ).
cnf(refute_0_5521,plain,
( complement(composition(top,skolemFOFtoCNF_X0)) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5522,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(top,skolemFOFtoCNF_X0)),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5520,refute_0_5521]) ).
cnf(refute_0_5523,plain,
( composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5524,plain,
( composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5522,refute_0_5523]) ).
cnf(refute_0_5525,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_4359,refute_0_5524]) ).
cnf(refute_0_5526,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = zero,
inference(subst,[],[refute_0_3649:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5527,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != zero
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_5528,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5526,refute_0_5527]) ).
cnf(refute_0_5529,plain,
composition(top,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3747:[bind(X_334,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5530,plain,
converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5531,plain,
( composition(top,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5532,plain,
( composition(top,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5530,refute_0_5531]) ).
cnf(refute_0_5533,plain,
converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5529,refute_0_5532]) ).
cnf(refute_0_5534,plain,
complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5535,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5536,plain,
( converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5534,refute_0_5535]) ).
cnf(refute_0_5537,plain,
complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5533,refute_0_5536]) ).
cnf(refute_0_5538,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5539,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5540,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5538,refute_0_5539]) ).
cnf(refute_0_5541,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5537,refute_0_5540]) ).
cnf(refute_0_5542,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| zero != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5543,plain,
( zero != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5541,refute_0_5542]) ).
cnf(refute_0_5544,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5528,refute_0_5543]) ).
cnf(refute_0_5545,plain,
zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5525,refute_0_5544]) ).
cnf(refute_0_5546,plain,
( zero != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5547,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5545,refute_0_5546]) ).
cnf(refute_0_5548,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != zero
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))),complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5549,plain,
( join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),zero) )],[refute_0_5547,refute_0_5548]) ).
cnf(refute_0_5550,plain,
join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))),complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_4349,refute_0_5549]) ).
cnf(refute_0_5551,plain,
join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_782:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5552,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5553,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))]]) ).
cnf(refute_0_5554,plain,
( complement(zero) != top
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5555,plain,
( complement(zero) != top
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_5553,refute_0_5554]) ).
cnf(refute_0_5556,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_5555]) ).
cnf(refute_0_5557,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top)
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))),bind(Y,$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top))),bind(Z,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5558,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_5556,refute_0_5557]) ).
cnf(refute_0_5559,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5552,refute_0_5558]) ).
cnf(refute_0_5560,plain,
join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).
cnf(refute_0_5561,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,1],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5562,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_5560,refute_0_5561]) ).
cnf(refute_0_5563,plain,
join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5559,refute_0_5562]) ).
cnf(refute_0_5564,plain,
complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = converse(complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5565,plain,
join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).
cnf(refute_0_5566,plain,
( complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,0],$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5567,plain,
( complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_5565,refute_0_5566]) ).
cnf(refute_0_5568,plain,
join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5564,refute_0_5567]) ).
cnf(refute_0_5569,plain,
( join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Y,$fot(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Z,$fot(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5570,plain,
( join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_5568,refute_0_5569]) ).
cnf(refute_0_5571,plain,
join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5563,refute_0_5570]) ).
cnf(refute_0_5572,plain,
( join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Y,$fot(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5573,plain,
( join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5571,refute_0_5572]) ).
cnf(refute_0_5574,plain,
join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5551,refute_0_5573]) ).
cnf(refute_0_5575,plain,
( join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5576,plain,
( join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5574,refute_0_5575]) ).
cnf(refute_0_5577,plain,
( complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5578,plain,
( converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5564,refute_0_5577]) ).
cnf(refute_0_5579,plain,
( join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5576,refute_0_5578]) ).
cnf(refute_0_5580,plain,
converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),complement(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5550,refute_0_5579]) ).
cnf(refute_0_5581,plain,
( converse(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,0],$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5582,plain,
( converse(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5580,refute_0_5581]) ).
cnf(refute_0_5583,plain,
converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4348,refute_0_5582]) ).
cnf(refute_0_5584,plain,
converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_43:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5585,plain,
( converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))),join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5586,plain,
( converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5584,refute_0_5585]) ).
cnf(refute_0_5587,plain,
complement(composition(top,skolemFOFtoCNF_X0)) = join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,skolemFOFtoCNF_X0)))),join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5583,refute_0_5586]) ).
cnf(refute_0_5588,plain,
( complement(composition(top,skolemFOFtoCNF_X0)) != join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5589,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(top,skolemFOFtoCNF_X0)),join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5587,refute_0_5588]) ).
cnf(refute_0_5590,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))
| join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5591,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5589,refute_0_5590]) ).
cnf(refute_0_5592,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_4347,refute_0_5591]) ).
cnf(refute_0_5593,plain,
complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3087:[bind(X_120,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_459,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5594,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5595,plain,
( complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5596,plain,
( complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5594,refute_0_5595]) ).
cnf(refute_0_5597,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5593,refute_0_5596]) ).
cnf(refute_0_5598,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) = join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2839:[bind(X_114,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_84,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5599,plain,
( join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) != join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5600,plain,
( join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))),join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5598,refute_0_5599]) ).
cnf(refute_0_5601,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5597,refute_0_5600]) ).
cnf(refute_0_5602,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))) != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5603,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))
| complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0)))),join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5601,refute_0_5602]) ).
cnf(refute_0_5604,plain,
complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(complement(composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5592,refute_0_5603]) ).
cnf(refute_0_5605,plain,
( complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5606,plain,
join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5604,refute_0_5605]) ).
cnf(refute_0_5607,plain,
( composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[0,0],$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5608,plain,
( composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5606,refute_0_5607]) ).
cnf(refute_0_5609,plain,
composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(join(composition(top,skolemFOFtoCNF_X0),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_4346,refute_0_5608]) ).
cnf(refute_0_5610,plain,
composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = zero,
inference(subst,[],[refute_0_3649:[bind(X0,$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5611,plain,
( composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != zero
| zero = composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_5612,plain,
( composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| zero = composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_5610,refute_0_5611]) ).
cnf(refute_0_5613,plain,
complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5614,plain,
converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4097:[bind(X_334,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5615,plain,
composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3747:[bind(X_334,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5616,plain,
converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5617,plain,
( composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5618,plain,
( composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5616,refute_0_5617]) ).
cnf(refute_0_5619,plain,
converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5615,refute_0_5618]) ).
cnf(refute_0_5620,plain,
( converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5621,plain,
( converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5619,refute_0_5620]) ).
cnf(refute_0_5622,plain,
converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5614,refute_0_5621]) ).
cnf(refute_0_5623,plain,
complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5624,plain,
( complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5625,plain,
( converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5623,refute_0_5624]) ).
cnf(refute_0_5626,plain,
complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5622,refute_0_5625]) ).
cnf(refute_0_5627,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5628,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5626,refute_0_5627]) ).
cnf(refute_0_5629,plain,
complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5613,refute_0_5628]) ).
cnf(refute_0_5630,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5631,plain,
( complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5632,plain,
( complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5630,refute_0_5631]) ).
cnf(refute_0_5633,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5629,refute_0_5632]) ).
cnf(refute_0_5634,plain,
composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5635,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) != composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))
| composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5636,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5634,refute_0_5635]) ).
cnf(refute_0_5637,plain,
composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5633,refute_0_5636]) ).
cnf(refute_0_5638,plain,
composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(top)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5639,plain,
( composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))
| composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5640,plain,
( composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5638,refute_0_5639]) ).
cnf(refute_0_5641,plain,
composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5637,refute_0_5640]) ).
cnf(refute_0_5642,plain,
( composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| zero != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| zero = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1],$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5643,plain,
( zero != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| zero = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5641,refute_0_5642]) ).
cnf(refute_0_5644,plain,
( composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))
| zero = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(zero,composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5612,refute_0_5643]) ).
cnf(refute_0_5645,plain,
zero = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(composition(top,skolemFOFtoCNF_X0),complement(converse(composition(top,complement(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5609,refute_0_5644]) ).
cnf(refute_0_5646,plain,
( zero != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5647,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5645,refute_0_5646]) ).
cnf(refute_0_5648,plain,
( composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5649,plain,
( composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5647,refute_0_5648]) ).
cnf(refute_0_5650,plain,
composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_4332,refute_0_5649]) ).
cnf(refute_0_5651,plain,
composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5652,plain,
( composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,top) != top
| composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5653,plain,
( join(one,top) != top
| composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5651,refute_0_5652]) ).
cnf(refute_0_5654,plain,
composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_5653]) ).
cnf(refute_0_5655,plain,
( composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5656,plain,
( composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5654,refute_0_5655]) ).
cnf(refute_0_5657,plain,
composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5647,refute_0_5656]) ).
cnf(refute_0_5658,plain,
composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4036:[bind(X_236,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_545,$fot(one)),bind(X_546,$fot(top))]]) ).
cnf(refute_0_5659,plain,
( composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5660,plain,
( composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5658,refute_0_5659]) ).
cnf(refute_0_5661,plain,
composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5657,refute_0_5660]) ).
cnf(refute_0_5662,plain,
( composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)
| composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| zero = join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_5663,plain,
( composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)
| zero = join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5661,refute_0_5662]) ).
cnf(refute_0_5664,plain,
join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5665,plain,
join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) = join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(zero)),bind(X_124,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5666,plain,
( join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) != join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero))),bind(Y,$fot(join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5667,plain,
( join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero),join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5665,refute_0_5666]) ).
cnf(refute_0_5668,plain,
join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5664,refute_0_5667]) ).
cnf(refute_0_5669,plain,
( join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) != composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| zero != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)
| zero = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)) ),[1],$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5670,plain,
( zero != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)
| zero = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5668,refute_0_5669]) ).
cnf(refute_0_5671,plain,
( composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)
| zero = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)) )],[refute_0_5663,refute_0_5670]) ).
cnf(refute_0_5672,plain,
zero = composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero)) )],[refute_0_5650,refute_0_5671]) ).
cnf(refute_0_5673,plain,
( zero != composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5674,plain,
composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5672,refute_0_5673]) ).
cnf(refute_0_5675,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != zero
| converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| converse(zero) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_5676,plain,
( converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| converse(zero) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_5674,refute_0_5675]) ).
cnf(refute_0_5677,plain,
converse(zero) = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))) )],[refute_0_4331,refute_0_5676]) ).
cnf(refute_0_5678,plain,
( converse(zero) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| converse(zero) != zero
| zero = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))) ),[0],$fot(zero)]]) ).
cnf(refute_0_5679,plain,
( converse(zero) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| zero = composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_5678]) ).
cnf(refute_0_5680,plain,
composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(top)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X2,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5681,plain,
converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_6,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5682,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5683,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) )],[refute_0_5681,refute_0_5682]) ).
cnf(refute_0_5684,plain,
converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5680,refute_0_5683]) ).
cnf(refute_0_5685,plain,
composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5686,plain,
( composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5687,plain,
( converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5685,refute_0_5686]) ).
cnf(refute_0_5688,plain,
composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5684,refute_0_5687]) ).
cnf(refute_0_5689,plain,
( composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| zero != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))) ),[1],$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5690,plain,
( zero != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5688,refute_0_5689]) ).
cnf(refute_0_5691,plain,
( converse(zero) != composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))
| zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))) )],[refute_0_5679,refute_0_5690]) ).
cnf(refute_0_5692,plain,
zero = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0))) )],[refute_0_5677,refute_0_5691]) ).
cnf(refute_0_5693,plain,
( zero != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5694,plain,
composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5692,refute_0_5693]) ).
cnf(refute_0_5695,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))
| composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != zero
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5696,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) ),
inference(resolve,[$cnf( $equal(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_5694,refute_0_5695]) ).
cnf(refute_0_5697,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))) )],[refute_0_4330,refute_0_5696]) ).
cnf(refute_0_5698,plain,
composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5699,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| join(one,top) != top
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5700,plain,
( join(one,top) != top
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5698,refute_0_5699]) ).
cnf(refute_0_5701,plain,
composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_372,refute_0_5700]) ).
cnf(refute_0_5702,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != zero
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5703,plain,
( composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != zero
| composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5701,refute_0_5702]) ).
cnf(refute_0_5704,plain,
composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(composition(top,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_5694,refute_0_5703]) ).
cnf(refute_0_5705,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4036:[bind(X_236,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))),bind(X_545,$fot(one)),bind(X_546,$fot(top))]]) ).
cnf(refute_0_5706,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != zero
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5707,plain,
( composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != zero
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5705,refute_0_5706]) ).
cnf(refute_0_5708,plain,
composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_5704,refute_0_5707]) ).
cnf(refute_0_5709,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)
| composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != zero
| zero = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_5710,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)
| zero = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_5708,refute_0_5709]) ).
cnf(refute_0_5711,plain,
join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5712,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) = join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(zero)),bind(X_124,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5713,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) != join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero))),bind(Y,$fot(join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5714,plain,
( join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero),join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5712,refute_0_5713]) ).
cnf(refute_0_5715,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) )],[refute_0_5711,refute_0_5714]) ).
cnf(refute_0_5716,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) != composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| zero != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)) ),[1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5717,plain,
( zero != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) )],[refute_0_5715,refute_0_5716]) ).
cnf(refute_0_5718,plain,
( composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)
| zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(zero,join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)) )],[refute_0_5710,refute_0_5717]) ).
cnf(refute_0_5719,plain,
zero = composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero)) )],[refute_0_5697,refute_0_5718]) ).
cnf(refute_0_5720,plain,
( zero != composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5721,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) )],[refute_0_5719,refute_0_5720]) ).
cnf(refute_0_5722,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != zero
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(zero) = composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_5723,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(zero) = composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_5721,refute_0_5722]) ).
cnf(refute_0_5724,plain,
converse(zero) = composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4329,refute_0_5723]) ).
cnf(refute_0_5725,plain,
( converse(zero) != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(zero) != zero
| zero = composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_5726,plain,
( converse(zero) != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| zero = composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1225,refute_0_5725]) ).
cnf(refute_0_5727,plain,
converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_6,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5728,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5729,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5730,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5728,refute_0_5729]) ).
cnf(refute_0_5731,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5727,refute_0_5730]) ).
cnf(refute_0_5732,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| zero != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| zero = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5733,plain,
( zero != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| zero = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5731,refute_0_5732]) ).
cnf(refute_0_5734,plain,
( converse(zero) != composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| zero = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5726,refute_0_5733]) ).
cnf(refute_0_5735,plain,
zero = composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(converse(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5724,refute_0_5734]) ).
cnf(refute_0_5736,plain,
( zero != composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5737,plain,
composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5735,refute_0_5736]) ).
cnf(refute_0_5738,plain,
( composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))) != zero
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5739,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_5737,refute_0_5738]) ).
cnf(refute_0_5740,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4328,refute_0_5739]) ).
cnf(refute_0_5741,plain,
join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) = join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5742,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) != join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top))
| join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)),join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5743,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)),join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5741,refute_0_5742]) ).
cnf(refute_0_5744,plain,
join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1548,refute_0_5743]) ).
cnf(refute_0_5745,plain,
converse(join(X_711,join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))))) = join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_706:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_25,$fot(X_711)),bind(X_26,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5746,plain,
converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5747,plain,
composition(skolemFOFtoCNF_X0,top) = join(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4145:[bind(X_96,$fot(converse(skolemFOFtoCNF_X0))),bind(X_97,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5748,plain,
meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = complement(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5749,plain,
converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_1002:[bind(X_19,$fot(complement(skolemFOFtoCNF_X0))),bind(X_20,$fot(converse(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5750,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(converse(complement(skolemFOFtoCNF_X0))),top)),top))),
inference(subst,[],[refute_0_4671:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5751,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(converse(complement(skolemFOFtoCNF_X0))),top)),top)))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(converse(complement(skolemFOFtoCNF_X0))),top)),top)))) ),[1,1,0,0,0,0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5752,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(converse(complement(skolemFOFtoCNF_X0))),top)),top)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_5751]) ).
cnf(refute_0_5753,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(converse(complement(skolemFOFtoCNF_X0))),top)),top)))) )],[refute_0_5750,refute_0_5752]) ).
cnf(refute_0_5754,plain,
composition(converse(skolemFOFtoCNF_X0),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3629:[bind(X_7,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5755,plain,
composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = composition(complement(complement(converse(skolemFOFtoCNF_X0))),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top))]]) ).
cnf(refute_0_5756,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) != composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)
| composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = composition(converse(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top),composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5757,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = composition(converse(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top),composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_5755,refute_0_5756]) ).
cnf(refute_0_5758,plain,
composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = composition(converse(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_987,refute_0_5757]) ).
cnf(refute_0_5759,plain,
( composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),top))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5760,plain,
( composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top),composition(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_5758,refute_0_5759]) ).
cnf(refute_0_5761,plain,
composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5754,refute_0_5760]) ).
cnf(refute_0_5762,plain,
complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) = complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_5763,plain,
( complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) != complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top))
| composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top))) ),[1,0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5764,plain,
( composition(complement(complement(converse(skolemFOFtoCNF_X0))),top) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_5762,refute_0_5763]) ).
cnf(refute_0_5765,plain,
complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5761,refute_0_5764]) ).
cnf(refute_0_5766,plain,
composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) = composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))]]) ).
cnf(refute_0_5767,plain,
( complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) != composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)
| composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top),composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) ),[1,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5768,plain,
( complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top),composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) )],[refute_0_5766,refute_0_5767]) ).
cnf(refute_0_5769,plain,
composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5765,refute_0_5768]) ).
cnf(refute_0_5770,plain,
converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) = converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))]]) ).
cnf(refute_0_5771,plain,
( composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)
| converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) != converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))
| converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) = converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) ),[1,0],$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))]]) ).
cnf(refute_0_5772,plain,
( composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)
| converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) = converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) )],[refute_0_5770,refute_0_5771]) ).
cnf(refute_0_5773,plain,
converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) = converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) )],[refute_0_5769,refute_0_5772]) ).
cnf(refute_0_5774,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))))]]) ).
cnf(refute_0_5775,plain,
( converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) != converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))) ),[1,1],$fot(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_5776,plain,
( converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)) != converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))) )],[refute_0_5774,refute_0_5775]) ).
cnf(refute_0_5777,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) )],[refute_0_5773,refute_0_5776]) ).
cnf(refute_0_5778,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))))]]) ).
cnf(refute_0_5779,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top))),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))) )],[refute_0_5777,refute_0_5778]) ).
cnf(refute_0_5780,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(complement(complement(converse(skolemFOFtoCNF_X0))),top)),top)))) )],[refute_0_5753,refute_0_5779]) ).
cnf(refute_0_5781,plain,
converse(complement(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4097:[bind(X_334,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5782,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5783,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5533,refute_0_5782]) ).
cnf(refute_0_5784,plain,
converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5781,refute_0_5783]) ).
cnf(refute_0_5785,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) = converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4084:[bind(X_655,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5786,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) != converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),bind(Y,$fot(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5787,plain,
( converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top),converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5785,refute_0_5786]) ).
cnf(refute_0_5788,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5784,refute_0_5787]) ).
cnf(refute_0_5789,plain,
converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) = converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)),
introduced(tautology,[refl,[$fot(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_5790,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) != converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) = converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) ),[1,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5791,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) = converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) )],[refute_0_5789,refute_0_5790]) ).
cnf(refute_0_5792,plain,
converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) = converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5788,refute_0_5791]) ).
cnf(refute_0_5793,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_5794,plain,
( converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) != converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))) ),[1,1],$fot(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5795,plain,
( converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)) != converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))) )],[refute_0_5793,refute_0_5794]) ).
cnf(refute_0_5796,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5792,refute_0_5795]) ).
cnf(refute_0_5797,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_5798,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5796,refute_0_5797]) ).
cnf(refute_0_5799,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),top)))) )],[refute_0_5780,refute_0_5798]) ).
cnf(refute_0_5800,plain,
composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4345:[bind(X_234,$fot(skolemFOFtoCNF_X0)),bind(X_235,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5801,plain,
join(one,X_101) = join(meet(skolemFOFtoCNF_X0,join(one,X_101)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_811:[bind(X_83,$fot(join(one,X_101))),bind(X_84,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5802,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(zero,join(one,X_101))),
inference(subst,[],[refute_0_4460:[bind(X0,$fot(zero)),bind(X_59,$fot(X_101))]]) ).
cnf(refute_0_5803,plain,
join(zero,join(one,X_101)) = join(one,X_101),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(join(one,X_101)))]]) ).
cnf(refute_0_5804,plain,
( join(zero,join(one,X_101)) != join(one,X_101)
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(zero,join(one,X_101)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(zero,join(one,X_101)))) ),[1,1],$fot(join(one,X_101))]]) ).
cnf(refute_0_5805,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(zero,join(one,X_101)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,X_101)) ),
inference(resolve,[$cnf( $equal(join(zero,join(one,X_101)),join(one,X_101)) )],[refute_0_5803,refute_0_5804]) ).
cnf(refute_0_5806,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,X_101)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(zero,join(one,X_101)))) )],[refute_0_5802,refute_0_5805]) ).
cnf(refute_0_5807,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(one,X_101))
| meet(skolemFOFtoCNF_X0,join(one,X_101)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,join(one,X_101))))]]) ).
cnf(refute_0_5808,plain,
meet(skolemFOFtoCNF_X0,join(one,X_101)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(one,X_101))) )],[refute_0_5806,refute_0_5807]) ).
cnf(refute_0_5809,plain,
( join(one,X_101) != join(meet(skolemFOFtoCNF_X0,join(one,X_101)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,join(one,X_101)) != skolemFOFtoCNF_X0
| join(one,X_101) = join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,X_101),join(meet(skolemFOFtoCNF_X0,join(one,X_101)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5810,plain,
( join(one,X_101) != join(meet(skolemFOFtoCNF_X0,join(one,X_101)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))
| join(one,X_101) = join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(one,X_101)),skolemFOFtoCNF_X0) )],[refute_0_5808,refute_0_5809]) ).
cnf(refute_0_5811,plain,
join(one,X_101) = join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,X_101),join(meet(skolemFOFtoCNF_X0,join(one,X_101)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))) )],[refute_0_5801,refute_0_5810]) ).
cnf(refute_0_5812,plain,
join(complement(join(one,X_101)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(join(one,X_101))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(join(one,X_101))))]]) ).
cnf(refute_0_5813,plain,
complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) = complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5814,plain,
( complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) != complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))
| join(complement(join(one,X_101)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(join(one,X_101)))
| complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))]]) ).
cnf(refute_0_5815,plain,
( join(complement(join(one,X_101)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(join(one,X_101)))
| complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)),complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) )],[refute_0_5813,refute_0_5814]) ).
cnf(refute_0_5816,plain,
complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))),
inference(resolve,[$cnf( $equal(join(complement(join(one,X_101)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) )],[refute_0_5812,refute_0_5815]) ).
cnf(refute_0_5817,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5818,plain,
( complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))]]) ).
cnf(refute_0_5819,plain,
( complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))) )],[refute_0_5817,refute_0_5818]) ).
cnf(refute_0_5820,plain,
join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))),
inference(resolve,[$cnf( $equal(complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) )],[refute_0_5816,refute_0_5819]) ).
cnf(refute_0_5821,plain,
( join(one,X_101) != join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))
| join(one,X_101) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,X_101),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5822,plain,
( join(one,X_101) != join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))
| join(one,X_101) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))) )],[refute_0_5820,refute_0_5821]) ).
cnf(refute_0_5823,plain,
join(one,X_101) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))),
inference(resolve,[$cnf( $equal(join(one,X_101),join(skolemFOFtoCNF_X0,complement(join(complement(join(one,X_101)),skolemFOFtoCNF_X0)))) )],[refute_0_5811,refute_0_5822]) ).
cnf(refute_0_5824,plain,
meet(join(one,X_101),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),join(one,X_101)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0))),bind(X_15,$fot(join(one,X_101)))]]) ).
cnf(refute_0_5825,plain,
complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) = meet(join(one,X_101),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1755:[bind(X_178,$fot(join(one,X_101)))]]) ).
cnf(refute_0_5826,plain,
( complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) != meet(join(one,X_101),complement(skolemFOFtoCNF_X0))
| meet(join(one,X_101),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),join(one,X_101))
| complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) = meet(complement(skolemFOFtoCNF_X0),join(one,X_101)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))),bind(Y,$fot(meet(join(one,X_101),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,X_101))))]]) ).
cnf(refute_0_5827,plain,
( meet(join(one,X_101),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),join(one,X_101))
| complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) = meet(complement(skolemFOFtoCNF_X0),join(one,X_101)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))),meet(join(one,X_101),complement(skolemFOFtoCNF_X0))) )],[refute_0_5825,refute_0_5826]) ).
cnf(refute_0_5828,plain,
complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) = meet(complement(skolemFOFtoCNF_X0),join(one,X_101)),
inference(resolve,[$cnf( $equal(meet(join(one,X_101),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,X_101))) )],[refute_0_5824,refute_0_5827]) ).
cnf(refute_0_5829,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) = join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))))]]) ).
cnf(refute_0_5830,plain,
( complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) != meet(complement(skolemFOFtoCNF_X0),join(one,X_101))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),join(one,X_101)))]]) ).
cnf(refute_0_5831,plain,
( complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))) != meet(complement(skolemFOFtoCNF_X0),join(one,X_101))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))) )],[refute_0_5829,refute_0_5830]) ).
cnf(refute_0_5832,plain,
join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))),meet(complement(skolemFOFtoCNF_X0),join(one,X_101))) )],[refute_0_5828,refute_0_5831]) ).
cnf(refute_0_5833,plain,
( join(one,X_101) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))
| join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101)))
| join(one,X_101) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,X_101),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101)))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))))]]) ).
cnf(refute_0_5834,plain,
( join(one,X_101) != join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))
| join(one,X_101) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101)))) )],[refute_0_5832,refute_0_5833]) ).
cnf(refute_0_5835,plain,
join(one,X_101) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,X_101))),
inference(resolve,[$cnf( $equal(join(one,X_101),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,complement(join(one,X_101)))))) )],[refute_0_5823,refute_0_5834]) ).
cnf(refute_0_5836,plain,
join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5835:[bind(X_101,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5837,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2626:[bind(X_287,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(X_83,$fot(one))]]) ).
cnf(refute_0_5838,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != one
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5839,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),one) )],[refute_0_4380,refute_0_5838]) ).
cnf(refute_0_5840,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_5837,refute_0_5839]) ).
cnf(refute_0_5841,plain,
join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_5208:[bind(X0,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5842,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one)
| join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one))]]) ).
cnf(refute_0_5843,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one)
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_5841,refute_0_5842]) ).
cnf(refute_0_5844,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),one)) )],[refute_0_5840,refute_0_5843]) ).
cnf(refute_0_5845,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5846,plain,
join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_5844,refute_0_5845]) ).
cnf(refute_0_5847,plain,
( join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))
| join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))) ),[1,1,1],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5848,plain,
( join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))
| join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_5846,refute_0_5847]) ).
cnf(refute_0_5849,plain,
join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))) )],[refute_0_5836,refute_0_5848]) ).
cnf(refute_0_5850,plain,
( join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[0],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5851,plain,
( join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_5846,refute_0_5850]) ).
cnf(refute_0_5852,plain,
meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(X_83,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5853,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5854,plain,
( complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_5852,refute_0_5853]) ).
cnf(refute_0_5855,plain,
meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4399,refute_0_5854]) ).
cnf(refute_0_5856,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5857,plain,
( join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5858,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_5856,refute_0_5857]) ).
cnf(refute_0_5859,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5855,refute_0_5858]) ).
cnf(refute_0_5860,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5861,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5859,refute_0_5860]) ).
cnf(refute_0_5862,plain,
( join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_5851,refute_0_5861]) ).
cnf(refute_0_5863,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_5849,refute_0_5862]) ).
cnf(refute_0_5864,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5865,plain,
join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5863,refute_0_5864]) ).
cnf(refute_0_5866,plain,
( composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0,0],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5867,plain,
( composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_5865,refute_0_5866]) ).
cnf(refute_0_5868,plain,
composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5800,refute_0_5867]) ).
cnf(refute_0_5869,plain,
composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4345:[bind(X_234,$fot(one)),bind(X_235,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5870,plain,
join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4864:[bind(X2,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_31,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5871,plain,
( join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))),join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5872,plain,
( join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))
| join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_5865,refute_0_5871]) ).
cnf(refute_0_5873,plain,
join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))),join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5870,refute_0_5872]) ).
cnf(refute_0_5874,plain,
join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_327:[bind(X_27,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5875,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))
| join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5876,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))),join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5870,refute_0_5875]) ).
cnf(refute_0_5877,plain,
join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5874,refute_0_5876]) ).
cnf(refute_0_5878,plain,
( join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[0],$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5879,plain,
( join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) = join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5877,refute_0_5878]) ).
cnf(refute_0_5880,plain,
( join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(top,skolemFOFtoCNF_X0))),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5881,plain,
( join(one,complement(composition(top,skolemFOFtoCNF_X0))) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_5846,refute_0_5880]) ).
cnf(refute_0_5882,plain,
( join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))) != join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,skolemFOFtoCNF_X0))),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_5879,refute_0_5881]) ).
cnf(refute_0_5883,plain,
join(one,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))))),join(one,complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_5873,refute_0_5882]) ).
cnf(refute_0_5884,plain,
( composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0,0],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5885,plain,
( composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_5883,refute_0_5884]) ).
cnf(refute_0_5886,plain,
composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5869,refute_0_5885]) ).
cnf(refute_0_5887,plain,
composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5888,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5889,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5887,refute_0_5888]) ).
cnf(refute_0_5890,plain,
composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5537,refute_0_5889]) ).
cnf(refute_0_5891,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0],$fot(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5892,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5890,refute_0_5891]) ).
cnf(refute_0_5893,plain,
composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_80:[bind(X_8,$fot(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5894,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5895,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5893,refute_0_5894]) ).
cnf(refute_0_5896,plain,
composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5537,refute_0_5895]) ).
cnf(refute_0_5897,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5898,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5896,refute_0_5897]) ).
cnf(refute_0_5899,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5892,refute_0_5898]) ).
cnf(refute_0_5900,plain,
composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5886,refute_0_5899]) ).
cnf(refute_0_5901,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5902,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5890,refute_0_5901]) ).
cnf(refute_0_5903,plain,
composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5900,refute_0_5902]) ).
cnf(refute_0_5904,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0],$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5905,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5903,refute_0_5904]) ).
cnf(refute_0_5906,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5907,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5908,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5906,refute_0_5907]) ).
cnf(refute_0_5909,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5537,refute_0_5908]) ).
cnf(refute_0_5910,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5911,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5909,refute_0_5910]) ).
cnf(refute_0_5912,plain,
( composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5905,refute_0_5911]) ).
cnf(refute_0_5913,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_5868,refute_0_5912]) ).
cnf(refute_0_5914,plain,
complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5915,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5916,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5917,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5915,refute_0_5916]) ).
cnf(refute_0_5918,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5781,refute_0_5917]) ).
cnf(refute_0_5919,plain,
( complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != complement(complement(converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5920,plain,
( complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5918,refute_0_5919]) ).
cnf(refute_0_5921,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5914,refute_0_5920]) ).
cnf(refute_0_5922,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5923,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5921,refute_0_5922]) ).
cnf(refute_0_5924,plain,
converse(composition(X_6,converse(composition(X_13,converse(X_12))))) = composition(composition(X_13,converse(X_12)),converse(X_6)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(composition(X_13,converse(X_12))))]]) ).
cnf(refute_0_5925,plain,
converse(composition(X_13,converse(X_12))) = composition(X_12,converse(X_13)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(X_12)),bind(X_6,$fot(X_13))]]) ).
cnf(refute_0_5926,plain,
( converse(composition(X_13,converse(X_12))) != composition(X_12,converse(X_13))
| converse(composition(X_6,converse(composition(X_13,converse(X_12))))) != composition(composition(X_13,converse(X_12)),converse(X_6))
| converse(composition(X_6,composition(X_12,converse(X_13)))) = composition(composition(X_13,converse(X_12)),converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,converse(composition(X_13,converse(X_12))))),composition(composition(X_13,converse(X_12)),converse(X_6))) ),[0,0,1],$fot(composition(X_12,converse(X_13)))]]) ).
cnf(refute_0_5927,plain,
( converse(composition(X_6,converse(composition(X_13,converse(X_12))))) != composition(composition(X_13,converse(X_12)),converse(X_6))
| converse(composition(X_6,composition(X_12,converse(X_13)))) = composition(composition(X_13,converse(X_12)),converse(X_6)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_13,converse(X_12))),composition(X_12,converse(X_13))) )],[refute_0_5925,refute_0_5926]) ).
cnf(refute_0_5928,plain,
converse(composition(X_6,composition(X_12,converse(X_13)))) = composition(composition(X_13,converse(X_12)),converse(X_6)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,converse(composition(X_13,converse(X_12))))),composition(composition(X_13,converse(X_12)),converse(X_6))) )],[refute_0_5924,refute_0_5927]) ).
cnf(refute_0_5929,plain,
composition(converse(X_12),converse(X_6)) = converse(composition(X_6,X_12)),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(X_6)),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_5930,plain,
composition(X_13,composition(converse(X_12),converse(X_6))) = composition(X_13,composition(converse(X_12),converse(X_6))),
introduced(tautology,[refl,[$fot(composition(X_13,composition(converse(X_12),converse(X_6))))]]) ).
cnf(refute_0_5931,plain,
( composition(X_13,composition(converse(X_12),converse(X_6))) != composition(X_13,composition(converse(X_12),converse(X_6)))
| composition(converse(X_12),converse(X_6)) != converse(composition(X_6,X_12))
| composition(X_13,composition(converse(X_12),converse(X_6))) = composition(X_13,converse(composition(X_6,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_13,composition(converse(X_12),converse(X_6))),composition(X_13,composition(converse(X_12),converse(X_6)))) ),[1,1],$fot(converse(composition(X_6,X_12)))]]) ).
cnf(refute_0_5932,plain,
( composition(converse(X_12),converse(X_6)) != converse(composition(X_6,X_12))
| composition(X_13,composition(converse(X_12),converse(X_6))) = composition(X_13,converse(composition(X_6,X_12))) ),
inference(resolve,[$cnf( $equal(composition(X_13,composition(converse(X_12),converse(X_6))),composition(X_13,composition(converse(X_12),converse(X_6)))) )],[refute_0_5930,refute_0_5931]) ).
cnf(refute_0_5933,plain,
composition(X_13,composition(converse(X_12),converse(X_6))) = composition(X_13,converse(composition(X_6,X_12))),
inference(resolve,[$cnf( $equal(composition(converse(X_12),converse(X_6)),converse(composition(X_6,X_12))) )],[refute_0_5929,refute_0_5932]) ).
cnf(refute_0_5934,plain,
composition(composition(X_13,converse(X_12)),converse(X_6)) = composition(X_13,composition(converse(X_12),converse(X_6))),
inference(subst,[],[refute_0_3226:[bind(X0,$fot(X_13)),bind(X1,$fot(converse(X_12))),bind(X2,$fot(converse(X_6)))]]) ).
cnf(refute_0_5935,plain,
( composition(X_13,composition(converse(X_12),converse(X_6))) != composition(X_13,converse(composition(X_6,X_12)))
| composition(composition(X_13,converse(X_12)),converse(X_6)) != composition(X_13,composition(converse(X_12),converse(X_6)))
| composition(composition(X_13,converse(X_12)),converse(X_6)) = composition(X_13,converse(composition(X_6,X_12))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(composition(X_13,converse(X_12)),converse(X_6)))),bind(Y,$fot(composition(X_13,composition(converse(X_12),converse(X_6))))),bind(Z,$fot(composition(X_13,converse(composition(X_6,X_12)))))]]) ).
cnf(refute_0_5936,plain,
( composition(X_13,composition(converse(X_12),converse(X_6))) != composition(X_13,converse(composition(X_6,X_12)))
| composition(composition(X_13,converse(X_12)),converse(X_6)) = composition(X_13,converse(composition(X_6,X_12))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_13,converse(X_12)),converse(X_6)),composition(X_13,composition(converse(X_12),converse(X_6)))) )],[refute_0_5934,refute_0_5935]) ).
cnf(refute_0_5937,plain,
composition(composition(X_13,converse(X_12)),converse(X_6)) = composition(X_13,converse(composition(X_6,X_12))),
inference(resolve,[$cnf( $equal(composition(X_13,composition(converse(X_12),converse(X_6))),composition(X_13,converse(composition(X_6,X_12)))) )],[refute_0_5933,refute_0_5936]) ).
cnf(refute_0_5938,plain,
( composition(composition(X_13,converse(X_12)),converse(X_6)) != composition(X_13,converse(composition(X_6,X_12)))
| converse(composition(X_6,composition(X_12,converse(X_13)))) != composition(composition(X_13,converse(X_12)),converse(X_6))
| converse(composition(X_6,composition(X_12,converse(X_13)))) = composition(X_13,converse(composition(X_6,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,composition(X_12,converse(X_13)))),composition(composition(X_13,converse(X_12)),converse(X_6))) ),[1],$fot(composition(X_13,converse(composition(X_6,X_12))))]]) ).
cnf(refute_0_5939,plain,
( converse(composition(X_6,composition(X_12,converse(X_13)))) != composition(composition(X_13,converse(X_12)),converse(X_6))
| converse(composition(X_6,composition(X_12,converse(X_13)))) = composition(X_13,converse(composition(X_6,X_12))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_13,converse(X_12)),converse(X_6)),composition(X_13,converse(composition(X_6,X_12)))) )],[refute_0_5937,refute_0_5938]) ).
cnf(refute_0_5940,plain,
converse(composition(X_6,composition(X_12,converse(X_13)))) = composition(X_13,converse(composition(X_6,X_12))),
inference(resolve,[$cnf( $equal(converse(composition(X_6,composition(X_12,converse(X_13)))),composition(composition(X_13,converse(X_12)),converse(X_6))) )],[refute_0_5928,refute_0_5939]) ).
cnf(refute_0_5941,plain,
converse(composition(top,composition(converse(converse(X_13)),converse(X_13)))) = composition(X_13,converse(composition(top,converse(converse(X_13))))),
inference(subst,[],[refute_0_5940:[bind(X_12,$fot(converse(converse(X_13)))),bind(X_6,$fot(top))]]) ).
cnf(refute_0_5942,plain,
composition(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),X_253) = composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),
inference(subst,[],[refute_0_3714:[bind(X_235,$fot(converse(complement(converse(converse(complement(composition(X_253,top)))))))),bind(X_236,$fot(X_253))]]) ).
cnf(refute_0_5943,plain,
top = join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),
inference(subst,[],[refute_0_560:[bind(X_68,$fot(converse(complement(composition(X_253,top)))))]]) ).
cnf(refute_0_5944,plain,
( top != join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top)))))))
| join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top)))))))))]]) ).
cnf(refute_0_5945,plain,
join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top)))))))) )],[refute_0_5943,refute_0_5944]) ).
cnf(refute_0_5946,plain,
( composition(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),X_253) != composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)
| join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))) != top
| composition(top,X_253) = composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),X_253),composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_5947,plain,
( composition(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),X_253) != composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)
| composition(top,X_253) = composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),top) )],[refute_0_5945,refute_0_5946]) ).
cnf(refute_0_5948,plain,
composition(top,X_253) = composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_253,top))),converse(complement(converse(converse(complement(composition(X_253,top))))))),X_253),composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)) )],[refute_0_5942,refute_0_5947]) ).
cnf(refute_0_5949,plain,
composition(converse(composition(X_253,top)),X_253) = composition(top,composition(converse(X_253),X_253)),
inference(subst,[],[refute_0_3202:[bind(X2,$fot(X_253)),bind(X_72,$fot(X_253))]]) ).
cnf(refute_0_5950,plain,
complement(complement(composition(X_253,top))) = composition(X_253,top),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(composition(X_253,top)))]]) ).
cnf(refute_0_5951,plain,
converse(converse(complement(composition(X_253,top)))) = complement(composition(X_253,top)),
inference(subst,[],[refute_0_43:[bind(X0,$fot(complement(composition(X_253,top))))]]) ).
cnf(refute_0_5952,plain,
complement(converse(converse(complement(composition(X_253,top))))) = complement(converse(converse(complement(composition(X_253,top))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(composition(X_253,top))))))]]) ).
cnf(refute_0_5953,plain,
( complement(converse(converse(complement(composition(X_253,top))))) != complement(converse(converse(complement(composition(X_253,top)))))
| converse(converse(complement(composition(X_253,top)))) != complement(composition(X_253,top))
| complement(converse(converse(complement(composition(X_253,top))))) = complement(complement(composition(X_253,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(composition(X_253,top))))),complement(converse(converse(complement(composition(X_253,top)))))) ),[1,0],$fot(complement(composition(X_253,top)))]]) ).
cnf(refute_0_5954,plain,
( converse(converse(complement(composition(X_253,top)))) != complement(composition(X_253,top))
| complement(converse(converse(complement(composition(X_253,top))))) = complement(complement(composition(X_253,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(X_253,top))))),complement(converse(converse(complement(composition(X_253,top)))))) )],[refute_0_5952,refute_0_5953]) ).
cnf(refute_0_5955,plain,
complement(converse(converse(complement(composition(X_253,top))))) = complement(complement(composition(X_253,top))),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(X_253,top)))),complement(composition(X_253,top))) )],[refute_0_5951,refute_0_5954]) ).
cnf(refute_0_5956,plain,
( complement(complement(composition(X_253,top))) != composition(X_253,top)
| complement(converse(converse(complement(composition(X_253,top))))) != complement(complement(composition(X_253,top)))
| complement(converse(converse(complement(composition(X_253,top))))) = composition(X_253,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(converse(converse(complement(composition(X_253,top))))))),bind(Y,$fot(complement(complement(composition(X_253,top))))),bind(Z,$fot(composition(X_253,top)))]]) ).
cnf(refute_0_5957,plain,
( complement(complement(composition(X_253,top))) != composition(X_253,top)
| complement(converse(converse(complement(composition(X_253,top))))) = composition(X_253,top) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(X_253,top))))),complement(complement(composition(X_253,top)))) )],[refute_0_5955,refute_0_5956]) ).
cnf(refute_0_5958,plain,
complement(converse(converse(complement(composition(X_253,top))))) = composition(X_253,top),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_253,top))),composition(X_253,top)) )],[refute_0_5950,refute_0_5957]) ).
cnf(refute_0_5959,plain,
converse(complement(converse(converse(complement(composition(X_253,top)))))) = converse(complement(converse(converse(complement(composition(X_253,top)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(complement(composition(X_253,top)))))))]]) ).
cnf(refute_0_5960,plain,
( complement(converse(converse(complement(composition(X_253,top))))) != composition(X_253,top)
| converse(complement(converse(converse(complement(composition(X_253,top)))))) != converse(complement(converse(converse(complement(composition(X_253,top))))))
| converse(complement(converse(converse(complement(composition(X_253,top)))))) = converse(composition(X_253,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(complement(composition(X_253,top)))))),converse(complement(converse(converse(complement(composition(X_253,top))))))) ),[1,0],$fot(composition(X_253,top))]]) ).
cnf(refute_0_5961,plain,
( complement(converse(converse(complement(composition(X_253,top))))) != composition(X_253,top)
| converse(complement(converse(converse(complement(composition(X_253,top)))))) = converse(composition(X_253,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(composition(X_253,top)))))),converse(complement(converse(converse(complement(composition(X_253,top))))))) )],[refute_0_5959,refute_0_5960]) ).
cnf(refute_0_5962,plain,
converse(complement(converse(converse(complement(composition(X_253,top)))))) = converse(composition(X_253,top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(composition(X_253,top))))),composition(X_253,top)) )],[refute_0_5958,refute_0_5961]) ).
cnf(refute_0_5963,plain,
composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253))]]) ).
cnf(refute_0_5964,plain,
( composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) != composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)
| converse(complement(converse(converse(complement(composition(X_253,top)))))) != converse(composition(X_253,top))
| composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(converse(composition(X_253,top)),X_253) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)) ),[1,0],$fot(converse(composition(X_253,top)))]]) ).
cnf(refute_0_5965,plain,
( converse(complement(converse(converse(complement(composition(X_253,top)))))) != converse(composition(X_253,top))
| composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(converse(composition(X_253,top)),X_253) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)) )],[refute_0_5963,refute_0_5964]) ).
cnf(refute_0_5966,plain,
composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(converse(composition(X_253,top)),X_253),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(complement(composition(X_253,top)))))),converse(composition(X_253,top))) )],[refute_0_5962,refute_0_5965]) ).
cnf(refute_0_5967,plain,
( composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) != composition(converse(composition(X_253,top)),X_253)
| composition(converse(composition(X_253,top)),X_253) != composition(top,composition(converse(X_253),X_253))
| composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(top,composition(converse(X_253),X_253)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253))),bind(Y,$fot(composition(converse(composition(X_253,top)),X_253))),bind(Z,$fot(composition(top,composition(converse(X_253),X_253))))]]) ).
cnf(refute_0_5968,plain,
( composition(converse(composition(X_253,top)),X_253) != composition(top,composition(converse(X_253),X_253))
| composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(top,composition(converse(X_253),X_253)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),composition(converse(composition(X_253,top)),X_253)) )],[refute_0_5966,refute_0_5967]) ).
cnf(refute_0_5969,plain,
composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) = composition(top,composition(converse(X_253),X_253)),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_253,top)),X_253),composition(top,composition(converse(X_253),X_253))) )],[refute_0_5949,refute_0_5968]) ).
cnf(refute_0_5970,plain,
( composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253) != composition(top,composition(converse(X_253),X_253))
| composition(top,X_253) != composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)
| composition(top,X_253) = composition(top,composition(converse(X_253),X_253)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_253),composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)) ),[1],$fot(composition(top,composition(converse(X_253),X_253)))]]) ).
cnf(refute_0_5971,plain,
( composition(top,X_253) != composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)
| composition(top,X_253) = composition(top,composition(converse(X_253),X_253)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253),composition(top,composition(converse(X_253),X_253))) )],[refute_0_5969,refute_0_5970]) ).
cnf(refute_0_5972,plain,
composition(top,X_253) = composition(top,composition(converse(X_253),X_253)),
inference(resolve,[$cnf( $equal(composition(top,X_253),composition(converse(complement(converse(converse(complement(composition(X_253,top)))))),X_253)) )],[refute_0_5948,refute_0_5971]) ).
cnf(refute_0_5973,plain,
composition(top,converse(X_13)) = composition(top,composition(converse(converse(X_13)),converse(X_13))),
inference(subst,[],[refute_0_5972:[bind(X_253,$fot(converse(X_13)))]]) ).
cnf(refute_0_5974,plain,
( composition(top,converse(X_13)) != composition(top,composition(converse(converse(X_13)),converse(X_13)))
| composition(top,composition(converse(converse(X_13)),converse(X_13))) = composition(top,converse(X_13)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,converse(X_13)))),bind(Y,$fot(composition(top,composition(converse(converse(X_13)),converse(X_13)))))]]) ).
cnf(refute_0_5975,plain,
composition(top,composition(converse(converse(X_13)),converse(X_13))) = composition(top,converse(X_13)),
inference(resolve,[$cnf( $equal(composition(top,converse(X_13)),composition(top,composition(converse(converse(X_13)),converse(X_13)))) )],[refute_0_5973,refute_0_5974]) ).
cnf(refute_0_5976,plain,
( composition(top,composition(converse(converse(X_13)),converse(X_13))) != composition(top,converse(X_13))
| converse(composition(top,composition(converse(converse(X_13)),converse(X_13)))) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| converse(composition(top,converse(X_13))) = composition(X_13,converse(composition(top,converse(converse(X_13))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(converse(X_13)),converse(X_13)))),composition(X_13,converse(composition(top,converse(converse(X_13)))))) ),[0,0],$fot(composition(top,converse(X_13)))]]) ).
cnf(refute_0_5977,plain,
( converse(composition(top,composition(converse(converse(X_13)),converse(X_13)))) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| converse(composition(top,converse(X_13))) = composition(X_13,converse(composition(top,converse(converse(X_13))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(converse(X_13)),converse(X_13))),composition(top,converse(X_13))) )],[refute_0_5975,refute_0_5976]) ).
cnf(refute_0_5978,plain,
converse(composition(top,converse(X_13))) = composition(X_13,converse(composition(top,converse(converse(X_13))))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(converse(X_13)),converse(X_13)))),composition(X_13,converse(composition(top,converse(converse(X_13)))))) )],[refute_0_5941,refute_0_5977]) ).
cnf(refute_0_5979,plain,
composition(X_13,converse(top)) = composition(X_13,converse(top)),
introduced(tautology,[refl,[$fot(composition(X_13,converse(top)))]]) ).
cnf(refute_0_5980,plain,
( composition(X_13,converse(top)) != composition(X_13,converse(top))
| converse(top) != top
| composition(X_13,converse(top)) = composition(X_13,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_13,converse(top)),composition(X_13,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5981,plain,
( converse(top) != top
| composition(X_13,converse(top)) = composition(X_13,top) ),
inference(resolve,[$cnf( $equal(composition(X_13,converse(top)),composition(X_13,converse(top))) )],[refute_0_5979,refute_0_5980]) ).
cnf(refute_0_5982,plain,
composition(X_13,converse(top)) = composition(X_13,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_5981]) ).
cnf(refute_0_5983,plain,
converse(composition(top,converse(X_13))) = composition(X_13,converse(top)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(X_13)),bind(X_6,$fot(top))]]) ).
cnf(refute_0_5984,plain,
( composition(X_13,converse(top)) != composition(X_13,top)
| converse(composition(top,converse(X_13))) != composition(X_13,converse(top))
| converse(composition(top,converse(X_13))) = composition(X_13,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,converse(X_13))))),bind(Y,$fot(composition(X_13,converse(top)))),bind(Z,$fot(composition(X_13,top)))]]) ).
cnf(refute_0_5985,plain,
( composition(X_13,converse(top)) != composition(X_13,top)
| converse(composition(top,converse(X_13))) = composition(X_13,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_13))),composition(X_13,converse(top))) )],[refute_0_5983,refute_0_5984]) ).
cnf(refute_0_5986,plain,
converse(composition(top,converse(X_13))) = composition(X_13,top),
inference(resolve,[$cnf( $equal(composition(X_13,converse(top)),composition(X_13,top)) )],[refute_0_5982,refute_0_5985]) ).
cnf(refute_0_5987,plain,
( converse(composition(top,converse(X_13))) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| converse(composition(top,converse(X_13))) != composition(X_13,top)
| composition(X_13,top) = composition(X_13,converse(composition(top,converse(converse(X_13))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(X_13))),composition(X_13,converse(composition(top,converse(converse(X_13)))))) ),[0],$fot(composition(X_13,top))]]) ).
cnf(refute_0_5988,plain,
( converse(composition(top,converse(X_13))) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| composition(X_13,top) = composition(X_13,converse(composition(top,converse(converse(X_13))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_13))),composition(X_13,top)) )],[refute_0_5986,refute_0_5987]) ).
cnf(refute_0_5989,plain,
composition(converse(X_13),converse(top)) = converse(composition(top,X_13)),
inference(subst,[],[refute_0_1397:[bind(X0,$fot(top)),bind(X1,$fot(X_13))]]) ).
cnf(refute_0_5990,plain,
converse(composition(top,converse(converse(X_13)))) = composition(converse(X_13),converse(top)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(converse(X_13))),bind(X_6,$fot(top))]]) ).
cnf(refute_0_5991,plain,
( composition(converse(X_13),converse(top)) != converse(composition(top,X_13))
| converse(composition(top,converse(converse(X_13)))) != composition(converse(X_13),converse(top))
| converse(composition(top,converse(converse(X_13)))) = converse(composition(top,X_13)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,converse(converse(X_13)))))),bind(Y,$fot(composition(converse(X_13),converse(top)))),bind(Z,$fot(converse(composition(top,X_13))))]]) ).
cnf(refute_0_5992,plain,
( composition(converse(X_13),converse(top)) != converse(composition(top,X_13))
| converse(composition(top,converse(converse(X_13)))) = converse(composition(top,X_13)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(converse(X_13)))),composition(converse(X_13),converse(top))) )],[refute_0_5990,refute_0_5991]) ).
cnf(refute_0_5993,plain,
converse(composition(top,converse(converse(X_13)))) = converse(composition(top,X_13)),
inference(resolve,[$cnf( $equal(composition(converse(X_13),converse(top)),converse(composition(top,X_13))) )],[refute_0_5989,refute_0_5992]) ).
cnf(refute_0_5994,plain,
composition(X_13,converse(composition(top,converse(converse(X_13))))) = composition(X_13,converse(composition(top,converse(converse(X_13))))),
introduced(tautology,[refl,[$fot(composition(X_13,converse(composition(top,converse(converse(X_13))))))]]) ).
cnf(refute_0_5995,plain,
( composition(X_13,converse(composition(top,converse(converse(X_13))))) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| converse(composition(top,converse(converse(X_13)))) != converse(composition(top,X_13))
| composition(X_13,converse(composition(top,converse(converse(X_13))))) = composition(X_13,converse(composition(top,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_13,converse(composition(top,converse(converse(X_13))))),composition(X_13,converse(composition(top,converse(converse(X_13)))))) ),[1,1],$fot(converse(composition(top,X_13)))]]) ).
cnf(refute_0_5996,plain,
( converse(composition(top,converse(converse(X_13)))) != converse(composition(top,X_13))
| composition(X_13,converse(composition(top,converse(converse(X_13))))) = composition(X_13,converse(composition(top,X_13))) ),
inference(resolve,[$cnf( $equal(composition(X_13,converse(composition(top,converse(converse(X_13))))),composition(X_13,converse(composition(top,converse(converse(X_13)))))) )],[refute_0_5994,refute_0_5995]) ).
cnf(refute_0_5997,plain,
composition(X_13,converse(composition(top,converse(converse(X_13))))) = composition(X_13,converse(composition(top,X_13))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(converse(X_13)))),converse(composition(top,X_13))) )],[refute_0_5993,refute_0_5996]) ).
cnf(refute_0_5998,plain,
( composition(X_13,converse(composition(top,converse(converse(X_13))))) != composition(X_13,converse(composition(top,X_13)))
| composition(X_13,top) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| composition(X_13,top) = composition(X_13,converse(composition(top,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_13,top),composition(X_13,converse(composition(top,converse(converse(X_13)))))) ),[1],$fot(composition(X_13,converse(composition(top,X_13))))]]) ).
cnf(refute_0_5999,plain,
( composition(X_13,top) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| composition(X_13,top) = composition(X_13,converse(composition(top,X_13))) ),
inference(resolve,[$cnf( $equal(composition(X_13,converse(composition(top,converse(converse(X_13))))),composition(X_13,converse(composition(top,X_13)))) )],[refute_0_5997,refute_0_5998]) ).
cnf(refute_0_6000,plain,
( converse(composition(top,converse(X_13))) != composition(X_13,converse(composition(top,converse(converse(X_13)))))
| composition(X_13,top) = composition(X_13,converse(composition(top,X_13))) ),
inference(resolve,[$cnf( $equal(composition(X_13,top),composition(X_13,converse(composition(top,converse(converse(X_13)))))) )],[refute_0_5988,refute_0_5999]) ).
cnf(refute_0_6001,plain,
composition(X_13,top) = composition(X_13,converse(composition(top,X_13))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_13))),composition(X_13,converse(composition(top,converse(converse(X_13)))))) )],[refute_0_5978,refute_0_6000]) ).
cnf(refute_0_6002,plain,
( composition(X_13,top) != composition(X_13,converse(composition(top,X_13)))
| composition(X_13,converse(composition(top,X_13))) = composition(X_13,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X_13,top))),bind(Y,$fot(composition(X_13,converse(composition(top,X_13)))))]]) ).
cnf(refute_0_6003,plain,
composition(X_13,converse(composition(top,X_13))) = composition(X_13,top),
inference(resolve,[$cnf( $equal(composition(X_13,top),composition(X_13,converse(composition(top,X_13)))) )],[refute_0_6001,refute_0_6002]) ).
cnf(refute_0_6004,plain,
composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_6003:[bind(X_13,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6005,plain,
composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6006,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6007,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6005,refute_0_6006]) ).
cnf(refute_0_6008,plain,
composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5921,refute_0_6007]) ).
cnf(refute_0_6009,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6010,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_6008,refute_0_6009]) ).
cnf(refute_0_6011,plain,
composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(top,skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6004,refute_0_6010]) ).
cnf(refute_0_6012,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6013,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6011,refute_0_6012]) ).
cnf(refute_0_6014,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5923,refute_0_6013]) ).
cnf(refute_0_6015,plain,
converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5913,refute_0_6014]) ).
cnf(refute_0_6016,plain,
complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6017,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6018,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_6016,refute_0_6017]) ).
cnf(refute_0_6019,plain,
complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6015,refute_0_6018]) ).
cnf(refute_0_6020,plain,
converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6021,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6022,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_6020,refute_0_6021]) ).
cnf(refute_0_6023,plain,
converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6019,refute_0_6022]) ).
cnf(refute_0_6024,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6025,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6026,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6024,refute_0_6025]) ).
cnf(refute_0_6027,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6023,refute_0_6026]) ).
cnf(refute_0_6028,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6029,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6027,refute_0_6028]) ).
cnf(refute_0_6030,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_5799,refute_0_6029]) ).
cnf(refute_0_6031,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_6032,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6030,refute_0_6031]) ).
cnf(refute_0_6033,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))) != complement(skolemFOFtoCNF_X0)
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6034,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))))
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6032,refute_0_6033]) ).
cnf(refute_0_6035,plain,
converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_5749,refute_0_6034]) ).
cnf(refute_0_6036,plain,
join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_184:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6037,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6038,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6039,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6037,refute_0_6038]) ).
cnf(refute_0_6040,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_6039]) ).
cnf(refute_0_6041,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6042,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6040,refute_0_6041]) ).
cnf(refute_0_6043,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6036,refute_0_6042]) ).
cnf(refute_0_6044,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_124,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6045,plain,
converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_310:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_20,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6046,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6047,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6045,refute_0_6046]) ).
cnf(refute_0_6048,plain,
converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6044,refute_0_6047]) ).
cnf(refute_0_6049,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6050,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6048,refute_0_6049]) ).
cnf(refute_0_6051,plain,
converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6043,refute_0_6050]) ).
cnf(refute_0_6052,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) ),[0],$fot(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6053,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6051,refute_0_6052]) ).
cnf(refute_0_6054,plain,
( complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != converse(complement(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6055,plain,
( complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != converse(complement(skolemFOFtoCNF_X0))
| complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_6054]) ).
cnf(refute_0_6056,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6053,refute_0_6055]) ).
cnf(refute_0_6057,plain,
complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6035,refute_0_6056]) ).
cnf(refute_0_6058,plain,
( complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != complement(converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != complement(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),complement(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6059,plain,
( meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != complement(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_6057,refute_0_6058]) ).
cnf(refute_0_6060,plain,
meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),complement(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5748,refute_0_6059]) ).
cnf(refute_0_6061,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6062,plain,
( meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_987,refute_0_6061]) ).
cnf(refute_0_6063,plain,
meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6060,refute_0_6062]) ).
cnf(refute_0_6064,plain,
( composition(skolemFOFtoCNF_X0,top) != join(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != converse(skolemFOFtoCNF_X0)
| composition(skolemFOFtoCNF_X0,top) = join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6065,plain,
( composition(skolemFOFtoCNF_X0,top) != join(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),converse(skolemFOFtoCNF_X0)) )],[refute_0_6063,refute_0_6064]) ).
cnf(refute_0_6066,plain,
composition(skolemFOFtoCNF_X0,top) = join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5747,refute_0_6065]) ).
cnf(refute_0_6067,plain,
join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))) = join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_4260:[bind(X_143,$fot(converse(skolemFOFtoCNF_X0))),bind(X_84,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6068,plain,
( composition(skolemFOFtoCNF_X0,top) != join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))) != join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,top) = join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,top),join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6069,plain,
( composition(skolemFOFtoCNF_X0,top) != join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6067,refute_0_6068]) ).
cnf(refute_0_6070,plain,
composition(skolemFOFtoCNF_X0,top) = join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(converse(skolemFOFtoCNF_X0),meet(composition(skolemFOFtoCNF_X0,top),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6066,refute_0_6069]) ).
cnf(refute_0_6071,plain,
( composition(skolemFOFtoCNF_X0,top) != join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6072,plain,
join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6070,refute_0_6071]) ).
cnf(refute_0_6073,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6074,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6072,refute_0_6073]) ).
cnf(refute_0_6075,plain,
converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5746,refute_0_6074]) ).
cnf(refute_0_6076,plain,
join(X0,join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) = join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)),
inference(subst,[],[refute_0_421:[bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_26,$fot(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))]]) ).
cnf(refute_0_6077,plain,
join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = complement(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))),
inference(subst,[],[refute_0_209:[bind(X_83,$fot(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))]]) ).
cnf(refute_0_6078,plain,
complement(skolemFOFtoCNF_X0) = join(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),bind(X_97,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6079,plain,
meet(X_178,complement(join(complement(complement(X_178)),X_211))) = complement(join(complement(X_178),join(complement(complement(X_178)),X_211))),
inference(subst,[],[refute_0_230:[bind(X_180,$fot(join(complement(complement(X_178)),X_211)))]]) ).
cnf(refute_0_6080,plain,
join(complement(X_178),join(complement(complement(X_178)),X_211)) = top,
inference(subst,[],[refute_0_2009:[bind(X_25,$fot(complement(X_178))),bind(X_27,$fot(X_211))]]) ).
cnf(refute_0_6081,plain,
( join(complement(X_178),join(complement(complement(X_178)),X_211)) != top
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) != complement(join(complement(X_178),join(complement(complement(X_178)),X_211)))
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),complement(join(complement(X_178),join(complement(complement(X_178)),X_211)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6082,plain,
( meet(X_178,complement(join(complement(complement(X_178)),X_211))) != complement(join(complement(X_178),join(complement(complement(X_178)),X_211)))
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_178),join(complement(complement(X_178)),X_211)),top) )],[refute_0_6080,refute_0_6081]) ).
cnf(refute_0_6083,plain,
meet(X_178,complement(join(complement(complement(X_178)),X_211))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),complement(join(complement(X_178),join(complement(complement(X_178)),X_211)))) )],[refute_0_6079,refute_0_6082]) ).
cnf(refute_0_6084,plain,
meet(complement(X_178),complement(X_211)) = complement(join(X_178,X_211)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(X_211)),bind(X_83,$fot(X_178))]]) ).
cnf(refute_0_6085,plain,
complement(join(complement(complement(X_178)),X_211)) = meet(complement(X_178),complement(X_211)),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(complement(X_178))),bind(X_180,$fot(X_211))]]) ).
cnf(refute_0_6086,plain,
( complement(join(complement(complement(X_178)),X_211)) != meet(complement(X_178),complement(X_211))
| meet(complement(X_178),complement(X_211)) != complement(join(X_178,X_211))
| complement(join(complement(complement(X_178)),X_211)) = complement(join(X_178,X_211)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(complement(complement(X_178)),X_211)))),bind(Y,$fot(meet(complement(X_178),complement(X_211)))),bind(Z,$fot(complement(join(X_178,X_211))))]]) ).
cnf(refute_0_6087,plain,
( meet(complement(X_178),complement(X_211)) != complement(join(X_178,X_211))
| complement(join(complement(complement(X_178)),X_211)) = complement(join(X_178,X_211)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_178)),X_211)),meet(complement(X_178),complement(X_211))) )],[refute_0_6085,refute_0_6086]) ).
cnf(refute_0_6088,plain,
complement(join(complement(complement(X_178)),X_211)) = complement(join(X_178,X_211)),
inference(resolve,[$cnf( $equal(meet(complement(X_178),complement(X_211)),complement(join(X_178,X_211))) )],[refute_0_6084,refute_0_6087]) ).
cnf(refute_0_6089,plain,
meet(X_178,complement(join(complement(complement(X_178)),X_211))) = meet(X_178,complement(join(complement(complement(X_178)),X_211))),
introduced(tautology,[refl,[$fot(meet(X_178,complement(join(complement(complement(X_178)),X_211))))]]) ).
cnf(refute_0_6090,plain,
( complement(join(complement(complement(X_178)),X_211)) != complement(join(X_178,X_211))
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) != meet(X_178,complement(join(complement(complement(X_178)),X_211)))
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) = meet(X_178,complement(join(X_178,X_211))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),meet(X_178,complement(join(complement(complement(X_178)),X_211)))) ),[1,1],$fot(complement(join(X_178,X_211)))]]) ).
cnf(refute_0_6091,plain,
( complement(join(complement(complement(X_178)),X_211)) != complement(join(X_178,X_211))
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) = meet(X_178,complement(join(X_178,X_211))) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),meet(X_178,complement(join(complement(complement(X_178)),X_211)))) )],[refute_0_6089,refute_0_6090]) ).
cnf(refute_0_6092,plain,
meet(X_178,complement(join(complement(complement(X_178)),X_211))) = meet(X_178,complement(join(X_178,X_211))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_178)),X_211)),complement(join(X_178,X_211))) )],[refute_0_6088,refute_0_6091]) ).
cnf(refute_0_6093,plain,
( meet(X_178,complement(join(complement(complement(X_178)),X_211))) != complement(top)
| meet(X_178,complement(join(complement(complement(X_178)),X_211))) != meet(X_178,complement(join(X_178,X_211)))
| meet(X_178,complement(join(X_178,X_211))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),complement(top)) ),[0],$fot(meet(X_178,complement(join(X_178,X_211))))]]) ).
cnf(refute_0_6094,plain,
( meet(X_178,complement(join(complement(complement(X_178)),X_211))) != complement(top)
| meet(X_178,complement(join(X_178,X_211))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),meet(X_178,complement(join(X_178,X_211)))) )],[refute_0_6092,refute_0_6093]) ).
cnf(refute_0_6095,plain,
( complement(top) != zero
| meet(X_178,complement(join(X_178,X_211))) != complement(top)
| meet(X_178,complement(join(X_178,X_211))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(join(X_178,X_211))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6096,plain,
( meet(X_178,complement(join(X_178,X_211))) != complement(top)
| meet(X_178,complement(join(X_178,X_211))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_6095]) ).
cnf(refute_0_6097,plain,
( meet(X_178,complement(join(complement(complement(X_178)),X_211))) != complement(top)
| meet(X_178,complement(join(X_178,X_211))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(X_178,X_211))),complement(top)) )],[refute_0_6094,refute_0_6096]) ).
cnf(refute_0_6098,plain,
meet(X_178,complement(join(X_178,X_211))) = zero,
inference(resolve,[$cnf( $equal(meet(X_178,complement(join(complement(complement(X_178)),X_211))),complement(top)) )],[refute_0_6083,refute_0_6097]) ).
cnf(refute_0_6099,plain,
meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))))) = zero,
inference(subst,[],[refute_0_6098:[bind(X_178,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)))),bind(X_211,$fot(meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6100,plain,
X_83 = join(meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_242:[bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6101,plain,
meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),
inference(subst,[],[refute_0_3027:[bind(X_178,$fot(X_83))]]) ).
cnf(refute_0_6102,plain,
( X_83 != join(meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))
| X_83 = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_83,join(meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)))]]) ).
cnf(refute_0_6103,plain,
( X_83 != join(meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| X_83 = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))) )],[refute_0_6101,refute_0_6102]) ).
cnf(refute_0_6104,plain,
X_83 = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,meet(one,complement(skolemFOFtoCNF_X0))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6100,refute_0_6103]) ).
cnf(refute_0_6105,plain,
meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6106,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(X_83,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6107,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(X_83,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6105,refute_0_6106]) ).
cnf(refute_0_6108,plain,
meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(X_83,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_1787,refute_0_6107]) ).
cnf(refute_0_6109,plain,
join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6110,plain,
( join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))
| join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6111,plain,
( meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))
| join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6109,refute_0_6110]) ).
cnf(refute_0_6112,plain,
join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6108,refute_0_6111]) ).
cnf(refute_0_6113,plain,
( X_83 != join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))
| X_83 = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6114,plain,
( X_83 != join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| X_83 = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6112,refute_0_6113]) ).
cnf(refute_0_6115,plain,
X_83 = join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(X_83,join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6104,refute_0_6114]) ).
cnf(refute_0_6116,plain,
( X_83 != join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) = X_83 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_83)),bind(Y,$fot(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6117,plain,
join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) = X_83,
inference(resolve,[$cnf( $equal(X_83,join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6115,refute_0_6116]) ).
cnf(refute_0_6118,plain,
( join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))) != X_83
| meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))))) != zero
| meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))))),zero) ),[0,1,0],$fot(X_83)]]) ).
cnf(refute_0_6119,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))))) != zero
| meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) = zero ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))),X_83) )],[refute_0_6117,refute_0_6118]) ).
cnf(refute_0_6120,plain,
meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(join(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),meet(X_83,join(skolemFOFtoCNF_X0,complement(one)))))),zero) )],[refute_0_6099,refute_0_6119]) ).
cnf(refute_0_6121,plain,
meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) = meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(X_83))),bind(X_15,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))))]]) ).
cnf(refute_0_6122,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) != meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)))
| meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) != zero
| meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)),zero) ),[0],$fot(meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))))]]) ).
cnf(refute_0_6123,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)) != zero
| meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)),meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)))) )],[refute_0_6121,refute_0_6122]) ).
cnf(refute_0_6124,plain,
meet(complement(X_83),meet(complement(skolemFOFtoCNF_X0),meet(one,X_83))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),meet(one,X_83)),complement(X_83)),zero) )],[refute_0_6120,refute_0_6123]) ).
cnf(refute_0_6125,plain,
meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) = zero,
inference(subst,[],[refute_0_6124:[bind(X_83,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))]]) ).
cnf(refute_0_6126,plain,
X_455 = meet(X_455,join(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),
inference(subst,[],[refute_0_1963:[bind(X_63,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),bind(X_83,$fot(X_455))]]) ).
cnf(refute_0_6127,plain,
complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),bind(X_99,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6128,plain,
composition(skolemFOFtoCNF_X0,top) = join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(skolemFOFtoCNF_X0)),bind(X_121,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6129,plain,
skolemFOFtoCNF_X0 = join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_97,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6130,plain,
meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_230:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6131,plain,
top = join(complement(skolemFOFtoCNF_X0),converse(composition(top,complement(converse(complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_3822:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6132,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| top != join(complement(skolemFOFtoCNF_X0),converse(composition(top,complement(converse(complement(skolemFOFtoCNF_X0))))))
| top = join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(composition(top,complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[1,1,0,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6133,plain,
( top != join(complement(skolemFOFtoCNF_X0),converse(composition(top,complement(converse(complement(skolemFOFtoCNF_X0))))))
| top = join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_2849,refute_0_6132]) ).
cnf(refute_0_6134,plain,
top = join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(composition(top,complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6131,refute_0_6133]) ).
cnf(refute_0_6135,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,converse(top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,converse(top)))]]) ).
cnf(refute_0_6136,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,converse(top))
| converse(top) != top
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_6137,plain,
( converse(top) != top
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_6135,refute_0_6136]) ).
cnf(refute_0_6138,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_557,refute_0_6137]) ).
cnf(refute_0_6139,plain,
converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(top)),
inference(subst,[],[refute_0_3190:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_6,$fot(top))]]) ).
cnf(refute_0_6140,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(top,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(top))
| converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(composition(top,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6141,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_6139,refute_0_6140]) ).
cnf(refute_0_6142,plain,
converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6138,refute_0_6141]) ).
cnf(refute_0_6143,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6144,plain,
( converse(composition(top,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))
| join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6145,plain,
( converse(composition(top,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))) )],[refute_0_6143,refute_0_6144]) ).
cnf(refute_0_6146,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6142,refute_0_6145]) ).
cnf(refute_0_6147,plain,
( join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| top != join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))
| top = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6148,plain,
( top != join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))
| top = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6146,refute_0_6147]) ).
cnf(refute_0_6149,plain,
top = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(composition(top,converse(skolemFOFtoCNF_X0))))) )],[refute_0_6134,refute_0_6148]) ).
cnf(refute_0_6150,plain,
( top != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))
| join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6151,plain,
join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6149,refute_0_6150]) ).
cnf(refute_0_6152,plain,
( join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)) != top
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6153,plain,
( meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),top) )],[refute_0_6151,refute_0_6152]) ).
cnf(refute_0_6154,plain,
meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6130,refute_0_6153]) ).
cnf(refute_0_6155,plain,
( complement(top) != zero
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(top)
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6156,plain,
( meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(top)
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_6155]) ).
cnf(refute_0_6157,plain,
meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(top)) )],[refute_0_6154,refute_0_6156]) ).
cnf(refute_0_6158,plain,
( meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != zero
| skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6159,plain,
( skolemFOFtoCNF_X0 != join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),zero) )],[refute_0_6157,refute_0_6158]) ).
cnf(refute_0_6160,plain,
skolemFOFtoCNF_X0 = join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_6129,refute_0_6159]) ).
cnf(refute_0_6161,plain,
complement(complement(composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_211:[bind(X_83,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6162,plain,
meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6163,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))
| meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6164,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6162,refute_0_6163]) ).
cnf(refute_0_6165,plain,
meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6161,refute_0_6164]) ).
cnf(refute_0_6166,plain,
meet(skolemFOFtoCNF_X0,X_309) = join(meet(one,meet(skolemFOFtoCNF_X0,X_309)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),
inference(subst,[],[refute_0_1011:[bind(X_120,$fot(one)),bind(X_121,$fot(meet(skolemFOFtoCNF_X0,X_309)))]]) ).
cnf(refute_0_6167,plain,
complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(complement(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),bind(X_99,$fot(one))]]) ).
cnf(refute_0_6168,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(complement(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != top
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(complement(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6169,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(complement(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5277,refute_0_6168]) ).
cnf(refute_0_6170,plain,
complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(complement(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6167,refute_0_6169]) ).
cnf(refute_0_6171,plain,
meet(X_171,complement(complement(skolemFOFtoCNF_X0))) = meet(X_171,complement(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(X_171,complement(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6172,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(X_171,complement(complement(skolemFOFtoCNF_X0))) != meet(X_171,complement(complement(skolemFOFtoCNF_X0)))
| meet(X_171,complement(complement(skolemFOFtoCNF_X0))) = meet(X_171,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_171,complement(complement(skolemFOFtoCNF_X0))),meet(X_171,complement(complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6173,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(X_171,complement(complement(skolemFOFtoCNF_X0))) = meet(X_171,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(X_171,complement(complement(skolemFOFtoCNF_X0))),meet(X_171,complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6171,refute_0_6172]) ).
cnf(refute_0_6174,plain,
meet(X_171,complement(complement(skolemFOFtoCNF_X0))) = meet(X_171,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_6173]) ).
cnf(refute_0_6175,plain,
complement(join(complement(X_63),meet(X_63,X_64))) = join(complement(join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),
inference(subst,[],[refute_0_2077:[bind(X_83,$fot(join(complement(X_63),meet(X_63,X_64)))),bind(X_99,$fot(complement(X_64)))]]) ).
cnf(refute_0_6176,plain,
( complement(join(complement(X_63),meet(X_63,X_64))) != join(complement(join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| join(complement(X_64),join(complement(X_63),meet(X_63,X_64))) != top
| complement(join(complement(X_63),meet(X_63,X_64))) = join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_63),meet(X_63,X_64))),join(complement(join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6177,plain,
( complement(join(complement(X_63),meet(X_63,X_64))) != join(complement(join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| complement(join(complement(X_63),meet(X_63,X_64))) = join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),join(complement(X_63),meet(X_63,X_64))),top) )],[refute_0_1944,refute_0_6176]) ).
cnf(refute_0_6178,plain,
complement(join(complement(X_63),meet(X_63,X_64))) = join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_63),meet(X_63,X_64))),join(complement(join(complement(X_64),join(complement(X_63),meet(X_63,X_64)))),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) )],[refute_0_6175,refute_0_6177]) ).
cnf(refute_0_6179,plain,
complement(join(complement(X_63),meet(X_63,X_64))) = meet(X_63,complement(meet(X_63,X_64))),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(X_63)),bind(X_180,$fot(meet(X_63,X_64)))]]) ).
cnf(refute_0_6180,plain,
( complement(join(complement(X_63),meet(X_63,X_64))) != join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| complement(join(complement(X_63),meet(X_63,X_64))) != meet(X_63,complement(meet(X_63,X_64)))
| meet(X_63,complement(meet(X_63,X_64))) = join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_63),meet(X_63,X_64))),join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) ),[0],$fot(meet(X_63,complement(meet(X_63,X_64))))]]) ).
cnf(refute_0_6181,plain,
( complement(join(complement(X_63),meet(X_63,X_64))) != join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| meet(X_63,complement(meet(X_63,X_64))) = join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_63),meet(X_63,X_64))),meet(X_63,complement(meet(X_63,X_64)))) )],[refute_0_6179,refute_0_6180]) ).
cnf(refute_0_6182,plain,
join(zero,meet(X_63,complement(X_64))) = meet(X_63,complement(X_64)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_63,complement(X_64))))]]) ).
cnf(refute_0_6183,plain,
join(X_64,meet(X_63,X_64)) = X_64,
inference(subst,[],[refute_0_2628:[bind(X_287,$fot(X_64)),bind(X_83,$fot(X_63))]]) ).
cnf(refute_0_6184,plain,
complement(join(X_64,meet(X_63,X_64))) = complement(join(X_64,meet(X_63,X_64))),
introduced(tautology,[refl,[$fot(complement(join(X_64,meet(X_63,X_64))))]]) ).
cnf(refute_0_6185,plain,
( complement(join(X_64,meet(X_63,X_64))) != complement(join(X_64,meet(X_63,X_64)))
| join(X_64,meet(X_63,X_64)) != X_64
| complement(join(X_64,meet(X_63,X_64))) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_64,meet(X_63,X_64))),complement(join(X_64,meet(X_63,X_64)))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_6186,plain,
( join(X_64,meet(X_63,X_64)) != X_64
| complement(join(X_64,meet(X_63,X_64))) = complement(X_64) ),
inference(resolve,[$cnf( $equal(complement(join(X_64,meet(X_63,X_64))),complement(join(X_64,meet(X_63,X_64)))) )],[refute_0_6184,refute_0_6185]) ).
cnf(refute_0_6187,plain,
complement(join(X_64,meet(X_63,X_64))) = complement(X_64),
inference(resolve,[$cnf( $equal(join(X_64,meet(X_63,X_64)),X_64) )],[refute_0_6183,refute_0_6186]) ).
cnf(refute_0_6188,plain,
meet(X_63,complement(join(X_64,meet(X_63,X_64)))) = meet(X_63,complement(join(X_64,meet(X_63,X_64)))),
introduced(tautology,[refl,[$fot(meet(X_63,complement(join(X_64,meet(X_63,X_64)))))]]) ).
cnf(refute_0_6189,plain,
( complement(join(X_64,meet(X_63,X_64))) != complement(X_64)
| meet(X_63,complement(join(X_64,meet(X_63,X_64)))) != meet(X_63,complement(join(X_64,meet(X_63,X_64))))
| meet(X_63,complement(join(X_64,meet(X_63,X_64)))) = meet(X_63,complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_63,complement(join(X_64,meet(X_63,X_64)))),meet(X_63,complement(join(X_64,meet(X_63,X_64))))) ),[1,1],$fot(complement(X_64))]]) ).
cnf(refute_0_6190,plain,
( complement(join(X_64,meet(X_63,X_64))) != complement(X_64)
| meet(X_63,complement(join(X_64,meet(X_63,X_64)))) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(meet(X_63,complement(join(X_64,meet(X_63,X_64)))),meet(X_63,complement(join(X_64,meet(X_63,X_64))))) )],[refute_0_6188,refute_0_6189]) ).
cnf(refute_0_6191,plain,
meet(X_63,complement(join(X_64,meet(X_63,X_64)))) = meet(X_63,complement(X_64)),
inference(resolve,[$cnf( $equal(complement(join(X_64,meet(X_63,X_64))),complement(X_64)) )],[refute_0_6187,refute_0_6190]) ).
cnf(refute_0_6192,plain,
complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) = meet(X_63,complement(join(X_64,meet(X_63,X_64)))),
inference(subst,[],[refute_0_2044:[bind(X_187,$fot(X_63)),bind(X_25,$fot(X_64)),bind(X_27,$fot(meet(X_63,X_64)))]]) ).
cnf(refute_0_6193,plain,
( complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) != meet(X_63,complement(join(X_64,meet(X_63,X_64))))
| meet(X_63,complement(join(X_64,meet(X_63,X_64)))) != meet(X_63,complement(X_64))
| complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) = meet(X_63,complement(X_64)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))))),bind(Y,$fot(meet(X_63,complement(join(X_64,meet(X_63,X_64)))))),bind(Z,$fot(meet(X_63,complement(X_64))))]]) ).
cnf(refute_0_6194,plain,
( meet(X_63,complement(join(X_64,meet(X_63,X_64)))) != meet(X_63,complement(X_64))
| complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))),meet(X_63,complement(join(X_64,meet(X_63,X_64))))) )],[refute_0_6192,refute_0_6193]) ).
cnf(refute_0_6195,plain,
complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) = meet(X_63,complement(X_64)),
inference(resolve,[$cnf( $equal(meet(X_63,complement(join(X_64,meet(X_63,X_64)))),meet(X_63,complement(X_64))) )],[refute_0_6191,refute_0_6194]) ).
cnf(refute_0_6196,plain,
join(join(complement(X_63),meet(X_63,X_64)),X_64) = join(X_64,join(complement(X_63),meet(X_63,X_64))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(X_64)),bind(X_124,$fot(join(complement(X_63),meet(X_63,X_64))))]]) ).
cnf(refute_0_6197,plain,
complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)),
introduced(tautology,[refl,[$fot(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)))]]) ).
cnf(refute_0_6198,plain,
( complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) != complement(join(join(complement(X_63),meet(X_63,X_64)),X_64))
| join(join(complement(X_63),meet(X_63,X_64)),X_64) != join(X_64,join(complement(X_63),meet(X_63,X_64)))
| complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)),complement(join(join(complement(X_63),meet(X_63,X_64)),X_64))) ),[1,0],$fot(join(X_64,join(complement(X_63),meet(X_63,X_64))))]]) ).
cnf(refute_0_6199,plain,
( join(join(complement(X_63),meet(X_63,X_64)),X_64) != join(X_64,join(complement(X_63),meet(X_63,X_64)))
| complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)),complement(join(join(complement(X_63),meet(X_63,X_64)),X_64))) )],[refute_0_6197,refute_0_6198]) ).
cnf(refute_0_6200,plain,
complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))),
inference(resolve,[$cnf( $equal(join(join(complement(X_63),meet(X_63,X_64)),X_64),join(X_64,join(complement(X_63),meet(X_63,X_64)))) )],[refute_0_6196,refute_0_6199]) ).
cnf(refute_0_6201,plain,
( complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) != meet(X_63,complement(X_64))
| complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) != complement(join(X_64,join(complement(X_63),meet(X_63,X_64))))
| complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = meet(X_63,complement(X_64)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)))),bind(Y,$fot(complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))))),bind(Z,$fot(meet(X_63,complement(X_64))))]]) ).
cnf(refute_0_6202,plain,
( complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))) != meet(X_63,complement(X_64))
| complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)),complement(join(X_64,join(complement(X_63),meet(X_63,X_64))))) )],[refute_0_6200,refute_0_6201]) ).
cnf(refute_0_6203,plain,
complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) = meet(X_63,complement(X_64)),
inference(resolve,[$cnf( $equal(complement(join(X_64,join(complement(X_63),meet(X_63,X_64)))),meet(X_63,complement(X_64))) )],[refute_0_6195,refute_0_6202]) ).
cnf(refute_0_6204,plain,
meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) = complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(X_64)),bind(X_83,$fot(join(complement(X_63),meet(X_63,X_64))))]]) ).
cnf(refute_0_6205,plain,
( complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) != meet(X_63,complement(X_64))
| meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) != complement(join(join(complement(X_63),meet(X_63,X_64)),X_64))
| meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) = meet(X_63,complement(X_64)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))),bind(Y,$fot(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)))),bind(Z,$fot(meet(X_63,complement(X_64))))]]) ).
cnf(refute_0_6206,plain,
( complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)) != meet(X_63,complement(X_64))
| meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)),complement(join(join(complement(X_63),meet(X_63,X_64)),X_64))) )],[refute_0_6204,refute_0_6205]) ).
cnf(refute_0_6207,plain,
meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) = meet(X_63,complement(X_64)),
inference(resolve,[$cnf( $equal(complement(join(join(complement(X_63),meet(X_63,X_64)),X_64)),meet(X_63,complement(X_64))) )],[refute_0_6203,refute_0_6206]) ).
cnf(refute_0_6208,plain,
join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))))]]) ).
cnf(refute_0_6209,plain,
( join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) != meet(X_63,complement(X_64))
| join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(X_63,complement(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) ),[1,1],$fot(meet(X_63,complement(X_64)))]]) ).
cnf(refute_0_6210,plain,
( meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)) != meet(X_63,complement(X_64))
| join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(X_63,complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) )],[refute_0_6208,refute_0_6209]) ).
cnf(refute_0_6211,plain,
join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(X_63,complement(X_64))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)),meet(X_63,complement(X_64))) )],[refute_0_6207,refute_0_6210]) ).
cnf(refute_0_6212,plain,
join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))))]]) ).
cnf(refute_0_6213,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6214,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) )],[refute_0_6212,refute_0_6213]) ).
cnf(refute_0_6215,plain,
join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_6214]) ).
cnf(refute_0_6216,plain,
( join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != join(zero,meet(X_63,complement(X_64)))
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(X_63,complement(X_64))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))))),bind(Y,$fot(join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))))),bind(Z,$fot(join(zero,meet(X_63,complement(X_64)))))]]) ).
cnf(refute_0_6217,plain,
( join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != join(zero,meet(X_63,complement(X_64)))
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(X_63,complement(X_64))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) )],[refute_0_6215,refute_0_6216]) ).
cnf(refute_0_6218,plain,
join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = join(zero,meet(X_63,complement(X_64))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(zero,meet(X_63,complement(X_64)))) )],[refute_0_6211,refute_0_6217]) ).
cnf(refute_0_6219,plain,
( join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != join(zero,meet(X_63,complement(X_64)))
| join(zero,meet(X_63,complement(X_64))) != meet(X_63,complement(X_64))
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = meet(X_63,complement(X_64)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))))),bind(Y,$fot(join(zero,meet(X_63,complement(X_64))))),bind(Z,$fot(meet(X_63,complement(X_64))))]]) ).
cnf(refute_0_6220,plain,
( join(zero,meet(X_63,complement(X_64))) != meet(X_63,complement(X_64))
| join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),join(zero,meet(X_63,complement(X_64)))) )],[refute_0_6218,refute_0_6219]) ).
cnf(refute_0_6221,plain,
join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) = meet(X_63,complement(X_64)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_63,complement(X_64))),meet(X_63,complement(X_64))) )],[refute_0_6182,refute_0_6220]) ).
cnf(refute_0_6222,plain,
( join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))) != meet(X_63,complement(X_64))
| meet(X_63,complement(meet(X_63,X_64))) != join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| meet(X_63,complement(meet(X_63,X_64))) = meet(X_63,complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_63,complement(meet(X_63,X_64))),join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) ),[1],$fot(meet(X_63,complement(X_64)))]]) ).
cnf(refute_0_6223,plain,
( meet(X_63,complement(meet(X_63,X_64))) != join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| meet(X_63,complement(meet(X_63,X_64))) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64))),meet(X_63,complement(X_64))) )],[refute_0_6221,refute_0_6222]) ).
cnf(refute_0_6224,plain,
( complement(join(complement(X_63),meet(X_63,X_64))) != join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))
| meet(X_63,complement(meet(X_63,X_64))) = meet(X_63,complement(X_64)) ),
inference(resolve,[$cnf( $equal(meet(X_63,complement(meet(X_63,X_64))),join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) )],[refute_0_6181,refute_0_6223]) ).
cnf(refute_0_6225,plain,
meet(X_63,complement(meet(X_63,X_64))) = meet(X_63,complement(X_64)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_63),meet(X_63,X_64))),join(complement(top),meet(complement(join(complement(X_63),meet(X_63,X_64))),complement(X_64)))) )],[refute_0_6178,refute_0_6224]) ).
cnf(refute_0_6226,plain,
meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,complement(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6225:[bind(X_63,$fot(X_171)),bind(X_64,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6227,plain,
complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2015:[bind(X_178,$fot(X_171)),bind(X_180,$fot(meet(X_171,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6228,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0))))
| meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,complement(complement(skolemFOFtoCNF_X0)))
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,complement(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(X_171,complement(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6229,plain,
( meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,complement(complement(skolemFOFtoCNF_X0)))
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,complement(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6227,refute_0_6228]) ).
cnf(refute_0_6230,plain,
complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,complement(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(X_171,complement(meet(X_171,complement(skolemFOFtoCNF_X0)))),meet(X_171,complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6226,refute_0_6229]) ).
cnf(refute_0_6231,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,complement(complement(skolemFOFtoCNF_X0)))
| meet(X_171,complement(complement(skolemFOFtoCNF_X0))) != meet(X_171,skolemFOFtoCNF_X0)
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(X_171,complement(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(X_171,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6232,plain,
( meet(X_171,complement(complement(skolemFOFtoCNF_X0))) != meet(X_171,skolemFOFtoCNF_X0)
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),meet(X_171,complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6230,refute_0_6231]) ).
cnf(refute_0_6233,plain,
complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = meet(X_171,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(X_171,complement(complement(skolemFOFtoCNF_X0))),meet(X_171,skolemFOFtoCNF_X0)) )],[refute_0_6174,refute_0_6232]) ).
cnf(refute_0_6234,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,skolemFOFtoCNF_X0)
| meet(X_171,skolemFOFtoCNF_X0) = join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) ),[0],$fot(meet(X_171,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6235,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| meet(X_171,skolemFOFtoCNF_X0) = join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),meet(X_171,skolemFOFtoCNF_X0)) )],[refute_0_6233,refute_0_6234]) ).
cnf(refute_0_6236,plain,
join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) = meet(one,meet(X_171,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(one,meet(X_171,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6237,plain,
meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6238,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,skolemFOFtoCNF_X0)
| meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(X_171,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6239,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != meet(X_171,skolemFOFtoCNF_X0)
| meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6237,refute_0_6238]) ).
cnf(refute_0_6240,plain,
meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) = meet(one,meet(X_171,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),meet(X_171,skolemFOFtoCNF_X0)) )],[refute_0_6233,refute_0_6239]) ).
cnf(refute_0_6241,plain,
meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) = meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(one)),bind(X_15,$fot(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6242,plain,
( meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) != meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))),bind(Y,$fot(meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(X_171,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6243,plain,
( meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one),meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6241,refute_0_6242]) ).
cnf(refute_0_6244,plain,
meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) = meet(one,meet(X_171,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))),meet(one,meet(X_171,skolemFOFtoCNF_X0))) )],[refute_0_6240,refute_0_6243]) ).
cnf(refute_0_6245,plain,
join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)))]]) ).
cnf(refute_0_6246,plain,
( join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) ),[1,1],$fot(meet(one,meet(X_171,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6247,plain,
( meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6245,refute_0_6246]) ).
cnf(refute_0_6248,plain,
join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one),meet(one,meet(X_171,skolemFOFtoCNF_X0))) )],[refute_0_6244,refute_0_6247]) ).
cnf(refute_0_6249,plain,
join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)))]]) ).
cnf(refute_0_6250,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6251,plain,
( complement(top) != zero
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6249,refute_0_6250]) ).
cnf(refute_0_6252,plain,
join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_6251]) ).
cnf(refute_0_6253,plain,
( join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)))),bind(Y,$fot(join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)))),bind(Z,$fot(join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6254,plain,
( join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6252,refute_0_6253]) ).
cnf(refute_0_6255,plain,
join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0)))) )],[refute_0_6248,refute_0_6254]) ).
cnf(refute_0_6256,plain,
( join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0)))
| join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)))),bind(Y,$fot(join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(one,meet(X_171,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6257,plain,
( join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0)))) )],[refute_0_6255,refute_0_6256]) ).
cnf(refute_0_6258,plain,
join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) = meet(one,meet(X_171,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(one,meet(X_171,skolemFOFtoCNF_X0))),meet(one,meet(X_171,skolemFOFtoCNF_X0))) )],[refute_0_6236,refute_0_6257]) ).
cnf(refute_0_6259,plain,
( join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)) != meet(one,meet(X_171,skolemFOFtoCNF_X0))
| meet(X_171,skolemFOFtoCNF_X0) != join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| meet(X_171,skolemFOFtoCNF_X0) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_171,skolemFOFtoCNF_X0),join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) ),[1],$fot(meet(one,meet(X_171,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6260,plain,
( meet(X_171,skolemFOFtoCNF_X0) != join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| meet(X_171,skolemFOFtoCNF_X0) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one)),meet(one,meet(X_171,skolemFOFtoCNF_X0))) )],[refute_0_6258,refute_0_6259]) ).
cnf(refute_0_6261,plain,
( complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))
| meet(X_171,skolemFOFtoCNF_X0) = meet(one,meet(X_171,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(X_171,skolemFOFtoCNF_X0),join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6235,refute_0_6260]) ).
cnf(refute_0_6262,plain,
meet(X_171,skolemFOFtoCNF_X0) = meet(one,meet(X_171,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6170,refute_0_6261]) ).
cnf(refute_0_6263,plain,
meet(X_308,skolemFOFtoCNF_X0) = meet(one,meet(X_308,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_6262:[bind(X_171,$fot(X_308))]]) ).
cnf(refute_0_6264,plain,
meet(skolemFOFtoCNF_X0,X_308) = meet(X_308,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(skolemFOFtoCNF_X0)),bind(X_15,$fot(X_308))]]) ).
cnf(refute_0_6265,plain,
( meet(skolemFOFtoCNF_X0,X_308) != meet(X_308,skolemFOFtoCNF_X0)
| meet(X_308,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_308) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_308))),bind(Y,$fot(meet(X_308,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6266,plain,
meet(X_308,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_308),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_308),meet(X_308,skolemFOFtoCNF_X0)) )],[refute_0_6264,refute_0_6265]) ).
cnf(refute_0_6267,plain,
( meet(X_308,skolemFOFtoCNF_X0) != meet(one,meet(X_308,skolemFOFtoCNF_X0))
| meet(X_308,skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,X_308)
| meet(X_308,skolemFOFtoCNF_X0) = meet(one,meet(skolemFOFtoCNF_X0,X_308)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_308,skolemFOFtoCNF_X0),meet(one,meet(X_308,skolemFOFtoCNF_X0))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,X_308))]]) ).
cnf(refute_0_6268,plain,
( meet(X_308,skolemFOFtoCNF_X0) != meet(one,meet(X_308,skolemFOFtoCNF_X0))
| meet(X_308,skolemFOFtoCNF_X0) = meet(one,meet(skolemFOFtoCNF_X0,X_308)) ),
inference(resolve,[$cnf( $equal(meet(X_308,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_308)) )],[refute_0_6266,refute_0_6267]) ).
cnf(refute_0_6269,plain,
meet(X_308,skolemFOFtoCNF_X0) = meet(one,meet(skolemFOFtoCNF_X0,X_308)),
inference(resolve,[$cnf( $equal(meet(X_308,skolemFOFtoCNF_X0),meet(one,meet(X_308,skolemFOFtoCNF_X0))) )],[refute_0_6263,refute_0_6268]) ).
cnf(refute_0_6270,plain,
meet(X_309,skolemFOFtoCNF_X0) = meet(one,meet(skolemFOFtoCNF_X0,X_309)),
inference(subst,[],[refute_0_6269:[bind(X_308,$fot(X_309))]]) ).
cnf(refute_0_6271,plain,
( meet(X_309,skolemFOFtoCNF_X0) != meet(one,meet(skolemFOFtoCNF_X0,X_309))
| meet(one,meet(skolemFOFtoCNF_X0,X_309)) = meet(X_309,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_309,skolemFOFtoCNF_X0))),bind(Y,$fot(meet(one,meet(skolemFOFtoCNF_X0,X_309))))]]) ).
cnf(refute_0_6272,plain,
meet(one,meet(skolemFOFtoCNF_X0,X_309)) = meet(X_309,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(X_309,skolemFOFtoCNF_X0),meet(one,meet(skolemFOFtoCNF_X0,X_309))) )],[refute_0_6270,refute_0_6271]) ).
cnf(refute_0_6273,plain,
( meet(one,meet(skolemFOFtoCNF_X0,X_309)) != meet(X_309,skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,X_309) != join(meet(one,meet(skolemFOFtoCNF_X0,X_309)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))
| meet(skolemFOFtoCNF_X0,X_309) = join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_309),join(meet(one,meet(skolemFOFtoCNF_X0,X_309)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))) ),[1,0],$fot(meet(X_309,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6274,plain,
( meet(skolemFOFtoCNF_X0,X_309) != join(meet(one,meet(skolemFOFtoCNF_X0,X_309)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))
| meet(skolemFOFtoCNF_X0,X_309) = join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,X_309)),meet(X_309,skolemFOFtoCNF_X0)) )],[refute_0_6272,refute_0_6273]) ).
cnf(refute_0_6275,plain,
meet(skolemFOFtoCNF_X0,X_309) = join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_309),join(meet(one,meet(skolemFOFtoCNF_X0,X_309)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))) )],[refute_0_6166,refute_0_6274]) ).
cnf(refute_0_6276,plain,
join(zero,meet(X_309,skolemFOFtoCNF_X0)) = meet(X_309,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(X_309,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6277,plain,
join(meet(X_309,skolemFOFtoCNF_X0),zero) = join(zero,meet(X_309,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(zero)),bind(X_124,$fot(meet(X_309,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6278,plain,
( join(meet(X_309,skolemFOFtoCNF_X0),zero) != join(zero,meet(X_309,skolemFOFtoCNF_X0))
| join(zero,meet(X_309,skolemFOFtoCNF_X0)) != meet(X_309,skolemFOFtoCNF_X0)
| join(meet(X_309,skolemFOFtoCNF_X0),zero) = meet(X_309,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_309,skolemFOFtoCNF_X0),zero))),bind(Y,$fot(join(zero,meet(X_309,skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(X_309,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6279,plain,
( join(zero,meet(X_309,skolemFOFtoCNF_X0)) != meet(X_309,skolemFOFtoCNF_X0)
| join(meet(X_309,skolemFOFtoCNF_X0),zero) = meet(X_309,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(X_309,skolemFOFtoCNF_X0),zero),join(zero,meet(X_309,skolemFOFtoCNF_X0))) )],[refute_0_6277,refute_0_6278]) ).
cnf(refute_0_6280,plain,
join(meet(X_309,skolemFOFtoCNF_X0),zero) = meet(X_309,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(zero,meet(X_309,skolemFOFtoCNF_X0)),meet(X_309,skolemFOFtoCNF_X0)) )],[refute_0_6276,refute_0_6279]) ).
cnf(refute_0_6281,plain,
complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))),
inference(subst,[],[refute_0_2312:[bind(X_83,$fot(complement(meet(skolemFOFtoCNF_X0,X_381))))]]) ).
cnf(refute_0_6282,plain,
join(complement(X_15),meet(complement(X_120),X_15)) = join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15)))),
inference(subst,[],[refute_0_259:[bind(X_96,$fot(X_120)),bind(X_97,$fot(join(complement(X_15),meet(complement(X_120),X_15))))]]) ).
cnf(refute_0_6283,plain,
complement(X_120) = meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))),
inference(subst,[],[refute_0_292:[bind(X_83,$fot(complement(X_120)))]]) ).
cnf(refute_0_6284,plain,
( complement(X_120) != meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15)))
| meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))) = complement(X_120) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_120))),bind(Y,$fot(meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15)))))]]) ).
cnf(refute_0_6285,plain,
meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))) = complement(X_120),
inference(resolve,[$cnf( $equal(complement(X_120),meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15)))) )],[refute_0_6283,refute_0_6284]) ).
cnf(refute_0_6286,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))))
| meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))) != complement(X_120)
| join(complement(X_15),meet(complement(X_120),X_15)) = join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))))) ),[1,1],$fot(complement(X_120))]]) ).
cnf(refute_0_6287,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))))
| join(complement(X_15),meet(complement(X_120),X_15)) = join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))),complement(X_120)) )],[refute_0_6285,refute_0_6286]) ).
cnf(refute_0_6288,plain,
join(complement(X_15),meet(complement(X_120),X_15)) = join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)),
inference(resolve,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),meet(complement(X_120),join(complement(X_15),meet(complement(X_120),X_15))))) )],[refute_0_6282,refute_0_6287]) ).
cnf(refute_0_6289,plain,
meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120) = meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(X_120)),bind(X_15,$fot(join(complement(X_15),meet(complement(X_120),X_15))))]]) ).
cnf(refute_0_6290,plain,
join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) = join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)),
introduced(tautology,[refl,[$fot(join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)))]]) ).
cnf(refute_0_6291,plain,
( join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) != join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120))
| meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120) != meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))
| join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)),join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120))) ),[1,1],$fot(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))]]) ).
cnf(refute_0_6292,plain,
( meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120) != meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))
| join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)),join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120))) )],[refute_0_6290,refute_0_6291]) ).
cnf(refute_0_6293,plain,
join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) )],[refute_0_6289,refute_0_6292]) ).
cnf(refute_0_6294,plain,
join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) = join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(X_120))),bind(X1,$fot(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)))]]) ).
cnf(refute_0_6295,plain,
( join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) != join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120))
| join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)))),bind(Y,$fot(join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)))),bind(Z,$fot(join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))))]]) ).
cnf(refute_0_6296,plain,
( join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)),join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120))) )],[refute_0_6294,refute_0_6295]) ).
cnf(refute_0_6297,plain,
join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),
inference(resolve,[$cnf( $equal(join(complement(X_120),meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120)),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) )],[refute_0_6293,refute_0_6296]) ).
cnf(refute_0_6298,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120))
| join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| join(complement(X_15),meet(complement(X_120),X_15)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) ),[0],$fot(join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)))]]) ).
cnf(refute_0_6299,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120))
| join(complement(X_15),meet(complement(X_120),X_15)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120)),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) )],[refute_0_6297,refute_0_6298]) ).
cnf(refute_0_6300,plain,
join(complement(X_15),meet(complement(X_120),X_15)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),
inference(resolve,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(meet(join(complement(X_15),meet(complement(X_120),X_15)),X_120),complement(X_120))) )],[refute_0_6288,refute_0_6299]) ).
cnf(refute_0_6301,plain,
join(complement(X_15),complement(X_120)) = complement(meet(X_15,X_120)),
inference(subst,[],[refute_0_184:[bind(X0,$fot(X_15)),bind(X1,$fot(X_120))]]) ).
cnf(refute_0_6302,plain,
join(complement(X_15),meet(complement(X_120),X_15)) = join(complement(X_15),complement(X_120)),
inference(subst,[],[refute_0_2839:[bind(X_114,$fot(X_15)),bind(X_84,$fot(complement(X_120)))]]) ).
cnf(refute_0_6303,plain,
( join(complement(X_15),complement(X_120)) != complement(meet(X_15,X_120))
| join(complement(X_15),meet(complement(X_120),X_15)) != join(complement(X_15),complement(X_120))
| join(complement(X_15),meet(complement(X_120),X_15)) = complement(meet(X_15,X_120)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(X_15),meet(complement(X_120),X_15)))),bind(Y,$fot(join(complement(X_15),complement(X_120)))),bind(Z,$fot(complement(meet(X_15,X_120))))]]) ).
cnf(refute_0_6304,plain,
( join(complement(X_15),complement(X_120)) != complement(meet(X_15,X_120))
| join(complement(X_15),meet(complement(X_120),X_15)) = complement(meet(X_15,X_120)) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(complement(X_15),complement(X_120))) )],[refute_0_6302,refute_0_6303]) ).
cnf(refute_0_6305,plain,
join(complement(X_15),meet(complement(X_120),X_15)) = complement(meet(X_15,X_120)),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(X_120)),complement(meet(X_15,X_120))) )],[refute_0_6301,refute_0_6304]) ).
cnf(refute_0_6306,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != complement(meet(X_15,X_120))
| join(complement(X_15),meet(complement(X_120),X_15)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| complement(meet(X_15,X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) ),[0],$fot(complement(meet(X_15,X_120)))]]) ).
cnf(refute_0_6307,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| complement(meet(X_15,X_120)) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),complement(meet(X_15,X_120))) )],[refute_0_6305,refute_0_6306]) ).
cnf(refute_0_6308,plain,
meet(X_120,complement(meet(X_15,X_120))) = meet(X_120,complement(X_15)),
inference(subst,[],[refute_0_2727:[bind(X_14,$fot(X_15)),bind(X_15,$fot(X_120))]]) ).
cnf(refute_0_6309,plain,
meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))),
introduced(tautology,[refl,[$fot(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))]]) ).
cnf(refute_0_6310,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != complement(meet(X_15,X_120))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) != meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,complement(meet(X_15,X_120))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) ),[1,1],$fot(complement(meet(X_15,X_120)))]]) ).
cnf(refute_0_6311,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != complement(meet(X_15,X_120))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,complement(meet(X_15,X_120))) ),
inference(resolve,[$cnf( $equal(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) )],[refute_0_6309,refute_0_6310]) ).
cnf(refute_0_6312,plain,
meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,complement(meet(X_15,X_120))),
inference(resolve,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),complement(meet(X_15,X_120))) )],[refute_0_6305,refute_0_6311]) ).
cnf(refute_0_6313,plain,
( meet(X_120,complement(meet(X_15,X_120))) != meet(X_120,complement(X_15))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) != meet(X_120,complement(meet(X_15,X_120)))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,complement(X_15)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))),bind(Y,$fot(meet(X_120,complement(meet(X_15,X_120))))),bind(Z,$fot(meet(X_120,complement(X_15))))]]) ).
cnf(refute_0_6314,plain,
( meet(X_120,complement(meet(X_15,X_120))) != meet(X_120,complement(X_15))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,complement(X_15)) ),
inference(resolve,[$cnf( $equal(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))),meet(X_120,complement(meet(X_15,X_120)))) )],[refute_0_6312,refute_0_6313]) ).
cnf(refute_0_6315,plain,
meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) = meet(X_120,complement(X_15)),
inference(resolve,[$cnf( $equal(meet(X_120,complement(meet(X_15,X_120))),meet(X_120,complement(X_15))) )],[refute_0_6308,refute_0_6314]) ).
cnf(refute_0_6316,plain,
join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) = join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),
introduced(tautology,[refl,[$fot(join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))))]]) ).
cnf(refute_0_6317,plain,
( join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) != meet(X_120,complement(X_15))
| join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) = join(complement(X_120),meet(X_120,complement(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) ),[1,1],$fot(meet(X_120,complement(X_15)))]]) ).
cnf(refute_0_6318,plain,
( meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))) != meet(X_120,complement(X_15))
| join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) = join(complement(X_120),meet(X_120,complement(X_15))) ),
inference(resolve,[$cnf( $equal(join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) )],[refute_0_6316,refute_0_6317]) ).
cnf(refute_0_6319,plain,
join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) = join(complement(X_120),meet(X_120,complement(X_15))),
inference(resolve,[$cnf( $equal(meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))),meet(X_120,complement(X_15))) )],[refute_0_6315,refute_0_6318]) ).
cnf(refute_0_6320,plain,
( complement(meet(X_15,X_120)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))) != join(complement(X_120),meet(X_120,complement(X_15)))
| complement(meet(X_15,X_120)) = join(complement(X_120),meet(X_120,complement(X_15))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_15,X_120)),join(complement(X_120),meet(X_120,complement(X_15)))) ),[0],$fot(join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))))]]) ).
cnf(refute_0_6321,plain,
( complement(meet(X_15,X_120)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| complement(meet(X_15,X_120)) = join(complement(X_120),meet(X_120,complement(X_15))) ),
inference(resolve,[$cnf( $equal(join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15)))),join(complement(X_120),meet(X_120,complement(X_15)))) )],[refute_0_6319,refute_0_6320]) ).
cnf(refute_0_6322,plain,
( join(complement(X_15),meet(complement(X_120),X_15)) != join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))
| complement(meet(X_15,X_120)) = join(complement(X_120),meet(X_120,complement(X_15))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_15,X_120)),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) )],[refute_0_6307,refute_0_6321]) ).
cnf(refute_0_6323,plain,
complement(meet(X_15,X_120)) = join(complement(X_120),meet(X_120,complement(X_15))),
inference(resolve,[$cnf( $equal(join(complement(X_15),meet(complement(X_120),X_15)),join(complement(X_120),meet(X_120,join(complement(X_15),meet(complement(X_120),X_15))))) )],[refute_0_6300,refute_0_6322]) ).
cnf(refute_0_6324,plain,
( complement(meet(X_15,X_120)) != join(complement(X_120),meet(X_120,complement(X_15)))
| join(complement(X_120),meet(X_120,complement(X_15))) = complement(meet(X_15,X_120)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(meet(X_15,X_120)))),bind(Y,$fot(join(complement(X_120),meet(X_120,complement(X_15)))))]]) ).
cnf(refute_0_6325,plain,
join(complement(X_120),meet(X_120,complement(X_15))) = complement(meet(X_15,X_120)),
inference(resolve,[$cnf( $equal(complement(meet(X_15,X_120)),join(complement(X_120),meet(X_120,complement(X_15)))) )],[refute_0_6323,refute_0_6324]) ).
cnf(refute_0_6326,plain,
join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,X_171)),
inference(subst,[],[refute_0_6325:[bind(X_120,$fot(X_171)),bind(X_15,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6327,plain,
join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6328,plain,
( join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,X_171))
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(one,complement(meet(skolemFOFtoCNF_X0,X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(meet(skolemFOFtoCNF_X0,X_171)))]]) ).
cnf(refute_0_6329,plain,
( join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,X_171))
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(one,complement(meet(skolemFOFtoCNF_X0,X_171))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6327,refute_0_6328]) ).
cnf(refute_0_6330,plain,
join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) = join(one,complement(meet(skolemFOFtoCNF_X0,X_171))),
inference(resolve,[$cnf( $equal(join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,X_171))) )],[refute_0_6326,refute_0_6329]) ).
cnf(refute_0_6331,plain,
( join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != join(one,complement(meet(skolemFOFtoCNF_X0,X_171)))
| join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != top
| join(one,complement(meet(skolemFOFtoCNF_X0,X_171))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),top) ),[0],$fot(join(one,complement(meet(skolemFOFtoCNF_X0,X_171))))]]) ).
cnf(refute_0_6332,plain,
( join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))) != top
| join(one,complement(meet(skolemFOFtoCNF_X0,X_171))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),join(one,complement(meet(skolemFOFtoCNF_X0,X_171)))) )],[refute_0_6330,refute_0_6331]) ).
cnf(refute_0_6333,plain,
join(one,complement(meet(skolemFOFtoCNF_X0,X_171))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(X_171),meet(X_171,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5277,refute_0_6332]) ).
cnf(refute_0_6334,plain,
join(one,complement(meet(skolemFOFtoCNF_X0,X_381))) = top,
inference(subst,[],[refute_0_6333:[bind(X_171,$fot(X_381))]]) ).
cnf(refute_0_6335,plain,
( complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))))
| join(one,complement(meet(skolemFOFtoCNF_X0,X_381))) != top
| complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)),complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6336,plain,
( complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))))
| complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))),top) )],[refute_0_6334,refute_0_6335]) ).
cnf(refute_0_6337,plain,
complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)),complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))))) )],[refute_0_6281,refute_0_6336]) ).
cnf(refute_0_6338,plain,
meet(meet(skolemFOFtoCNF_X0,X_381),complement(one)) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(one))),bind(X_15,$fot(meet(skolemFOFtoCNF_X0,X_381)))]]) ).
cnf(refute_0_6339,plain,
complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) = meet(meet(skolemFOFtoCNF_X0,X_381),complement(one)),
inference(subst,[],[refute_0_4232:[bind(X_187,$fot(meet(skolemFOFtoCNF_X0,X_381))),bind(X_188,$fot(one))]]) ).
cnf(refute_0_6340,plain,
( complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) != meet(meet(skolemFOFtoCNF_X0,X_381),complement(one))
| meet(meet(skolemFOFtoCNF_X0,X_381),complement(one)) != meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))
| complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))))),bind(Y,$fot(meet(meet(skolemFOFtoCNF_X0,X_381),complement(one)))),bind(Z,$fot(meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))))]]) ).
cnf(refute_0_6341,plain,
( meet(meet(skolemFOFtoCNF_X0,X_381),complement(one)) != meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))
| complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))),meet(meet(skolemFOFtoCNF_X0,X_381),complement(one))) )],[refute_0_6339,refute_0_6340]) ).
cnf(refute_0_6342,plain,
complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,X_381),complement(one)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))) )],[refute_0_6338,refute_0_6341]) ).
cnf(refute_0_6343,plain,
( complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))))
| complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) != meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))
| complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)))),bind(Y,$fot(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))))),bind(Z,$fot(meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))))]]) ).
cnf(refute_0_6344,plain,
( complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))) != meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))
| complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)),complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381))))) )],[refute_0_6281,refute_0_6343]) ).
cnf(refute_0_6345,plain,
complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) = meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_381)))),meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))) )],[refute_0_6342,refute_0_6344]) ).
cnf(refute_0_6346,plain,
( complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != complement(top)
| complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)),complement(top)) ),[0],$fot(meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)))]]) ).
cnf(refute_0_6347,plain,
( complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != complement(top)
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)),meet(complement(one),meet(skolemFOFtoCNF_X0,X_381))) )],[refute_0_6345,refute_0_6346]) ).
cnf(refute_0_6348,plain,
( complement(top) != zero
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) != complement(top)
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6349,plain,
( meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) != complement(top)
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_150,refute_0_6348]) ).
cnf(refute_0_6350,plain,
( complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)) != complement(top)
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)),complement(top)) )],[refute_0_6347,refute_0_6349]) ).
cnf(refute_0_6351,plain,
meet(complement(one),meet(skolemFOFtoCNF_X0,X_381)) = zero,
inference(resolve,[$cnf( $equal(complement(join(complement(meet(skolemFOFtoCNF_X0,X_381)),one)),complement(top)) )],[refute_0_6337,refute_0_6350]) ).
cnf(refute_0_6352,plain,
meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)) = zero,
inference(subst,[],[refute_0_6351:[bind(X_381,$fot(X_309))]]) ).
cnf(refute_0_6353,plain,
join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),
introduced(tautology,[refl,[$fot(join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))))]]) ).
cnf(refute_0_6354,plain,
( join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) != join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)) != zero
| join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = join(meet(X_309,skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_6355,plain,
( meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)) != zero
| join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = join(meet(X_309,skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))) )],[refute_0_6353,refute_0_6354]) ).
cnf(refute_0_6356,plain,
join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = join(meet(X_309,skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)),zero) )],[refute_0_6352,refute_0_6355]) ).
cnf(refute_0_6357,plain,
( join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) != join(meet(X_309,skolemFOFtoCNF_X0),zero)
| join(meet(X_309,skolemFOFtoCNF_X0),zero) != meet(X_309,skolemFOFtoCNF_X0)
| join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = meet(X_309,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))))),bind(Y,$fot(join(meet(X_309,skolemFOFtoCNF_X0),zero))),bind(Z,$fot(meet(X_309,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6358,plain,
( join(meet(X_309,skolemFOFtoCNF_X0),zero) != meet(X_309,skolemFOFtoCNF_X0)
| join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = meet(X_309,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),join(meet(X_309,skolemFOFtoCNF_X0),zero)) )],[refute_0_6356,refute_0_6357]) ).
cnf(refute_0_6359,plain,
join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) = meet(X_309,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(meet(X_309,skolemFOFtoCNF_X0),zero),meet(X_309,skolemFOFtoCNF_X0)) )],[refute_0_6280,refute_0_6358]) ).
cnf(refute_0_6360,plain,
( join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))) != meet(X_309,skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,X_309) != join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))
| meet(skolemFOFtoCNF_X0,X_309) = meet(X_309,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_309),join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))) ),[1],$fot(meet(X_309,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6361,plain,
( meet(skolemFOFtoCNF_X0,X_309) != join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))
| meet(skolemFOFtoCNF_X0,X_309) = meet(X_309,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309))),meet(X_309,skolemFOFtoCNF_X0)) )],[refute_0_6359,refute_0_6360]) ).
cnf(refute_0_6362,plain,
meet(skolemFOFtoCNF_X0,X_309) = meet(X_309,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_309),join(meet(X_309,skolemFOFtoCNF_X0),meet(complement(one),meet(skolemFOFtoCNF_X0,X_309)))) )],[refute_0_6275,refute_0_6361]) ).
cnf(refute_0_6363,plain,
( meet(skolemFOFtoCNF_X0,X_309) != meet(X_309,skolemFOFtoCNF_X0)
| meet(X_309,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_309) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_309))),bind(Y,$fot(meet(X_309,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6364,plain,
meet(X_309,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_309),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_309),meet(X_309,skolemFOFtoCNF_X0)) )],[refute_0_6362,refute_0_6363]) ).
cnf(refute_0_6365,plain,
meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_6364:[bind(X_309,$fot(complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6366,plain,
join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6367,plain,
( join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_6368,plain,
( meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) )],[refute_0_6366,refute_0_6367]) ).
cnf(refute_0_6369,plain,
join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6365,refute_0_6368]) ).
cnf(refute_0_6370,plain,
( join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))
| meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6371,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6369,refute_0_6370]) ).
cnf(refute_0_6372,plain,
join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6165,refute_0_6371]) ).
cnf(refute_0_6373,plain,
( join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| skolemFOFtoCNF_X0 != join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[1],$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6374,plain,
( skolemFOFtoCNF_X0 != join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6372,refute_0_6373]) ).
cnf(refute_0_6375,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(zero,meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_6160,refute_0_6374]) ).
cnf(refute_0_6376,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6377,plain,
meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6375,refute_0_6376]) ).
cnf(refute_0_6378,plain,
( composition(skolemFOFtoCNF_X0,top) != join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,top) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6379,plain,
( composition(skolemFOFtoCNF_X0,top) != join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| composition(skolemFOFtoCNF_X0,top) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) )],[refute_0_6377,refute_0_6378]) ).
cnf(refute_0_6380,plain,
composition(skolemFOFtoCNF_X0,top) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6128,refute_0_6379]) ).
cnf(refute_0_6381,plain,
( composition(skolemFOFtoCNF_X0,top) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6382,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6380,refute_0_6381]) ).
cnf(refute_0_6383,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != join(complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),join(complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[1,0,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6384,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != join(complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6382,refute_0_6383]) ).
cnf(refute_0_6385,plain,
complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),join(complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_6127,refute_0_6384]) ).
cnf(refute_0_6386,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1350:[bind(X_26,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6387,plain,
meet(X_178,complement(meet(complement(X_178),X_382))) = complement(join(complement(X_178),meet(complement(X_178),X_382))),
inference(subst,[],[refute_0_230:[bind(X_180,$fot(meet(complement(X_178),X_382)))]]) ).
cnf(refute_0_6388,plain,
join(complement(X_178),meet(complement(X_178),X_382)) = complement(X_178),
inference(subst,[],[refute_0_1915:[bind(X_96,$fot(X_382)),bind(X_97,$fot(complement(X_178)))]]) ).
cnf(refute_0_6389,plain,
( join(complement(X_178),meet(complement(X_178),X_382)) != complement(X_178)
| meet(X_178,complement(meet(complement(X_178),X_382))) != complement(join(complement(X_178),meet(complement(X_178),X_382)))
| meet(X_178,complement(meet(complement(X_178),X_382))) = complement(complement(X_178)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(complement(X_178),X_382))),complement(join(complement(X_178),meet(complement(X_178),X_382)))) ),[1,0],$fot(complement(X_178))]]) ).
cnf(refute_0_6390,plain,
( meet(X_178,complement(meet(complement(X_178),X_382))) != complement(join(complement(X_178),meet(complement(X_178),X_382)))
| meet(X_178,complement(meet(complement(X_178),X_382))) = complement(complement(X_178)) ),
inference(resolve,[$cnf( $equal(join(complement(X_178),meet(complement(X_178),X_382)),complement(X_178)) )],[refute_0_6388,refute_0_6389]) ).
cnf(refute_0_6391,plain,
meet(X_178,complement(meet(complement(X_178),X_382))) = complement(complement(X_178)),
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(complement(X_178),X_382))),complement(join(complement(X_178),meet(complement(X_178),X_382)))) )],[refute_0_6387,refute_0_6390]) ).
cnf(refute_0_6392,plain,
( complement(complement(X_178)) != X_178
| meet(X_178,complement(meet(complement(X_178),X_382))) != complement(complement(X_178))
| meet(X_178,complement(meet(complement(X_178),X_382))) = X_178 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_178,complement(meet(complement(X_178),X_382))),complement(complement(X_178))) ),[1],$fot(X_178)]]) ).
cnf(refute_0_6393,plain,
( meet(X_178,complement(meet(complement(X_178),X_382))) != complement(complement(X_178))
| meet(X_178,complement(meet(complement(X_178),X_382))) = X_178 ),
inference(resolve,[$cnf( $equal(complement(complement(X_178)),X_178) )],[refute_0_3758,refute_0_6392]) ).
cnf(refute_0_6394,plain,
meet(X_178,complement(meet(complement(X_178),X_382))) = X_178,
inference(resolve,[$cnf( $equal(meet(X_178,complement(meet(complement(X_178),X_382))),complement(complement(X_178))) )],[refute_0_6391,refute_0_6393]) ).
cnf(refute_0_6395,plain,
meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_6394:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_382,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6396,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_6364:[bind(X_309,$fot(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6397,plain,
( meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != skolemFOFtoCNF_X0
| meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6398,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != skolemFOFtoCNF_X0
| meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6396,refute_0_6397]) ).
cnf(refute_0_6399,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0) )],[refute_0_6395,refute_0_6398]) ).
cnf(refute_0_6400,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6401,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6402,plain,
( meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_6400,refute_0_6401]) ).
cnf(refute_0_6403,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_6399,refute_0_6402]) ).
cnf(refute_0_6404,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0)
| join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6405,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0)) )],[refute_0_6403,refute_0_6404]) ).
cnf(refute_0_6406,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6386,refute_0_6405]) ).
cnf(refute_0_6407,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6408,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6406,refute_0_6407]) ).
cnf(refute_0_6409,plain,
complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_6385,refute_0_6408]) ).
cnf(refute_0_6410,plain,
( X_455 != meet(X_455,join(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| X_455 = meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) ),
introduced(tautology,[equality,[$cnf( $equal(X_455,meet(X_455,join(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) ),[1,1,0],$fot(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6411,plain,
( X_455 != meet(X_455,join(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| X_455 = meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6409,refute_0_6410]) ).
cnf(refute_0_6412,plain,
X_455 = meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),
inference(resolve,[$cnf( $equal(X_455,meet(X_455,join(complement(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) )],[refute_0_6126,refute_0_6411]) ).
cnf(refute_0_6413,plain,
join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),
inference(subst,[],[refute_0_267:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X2,$fot(meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))]]) ).
cnf(refute_0_6414,plain,
meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) = meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),
introduced(tautology,[refl,[$fot(meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))))]]) ).
cnf(refute_0_6415,plain,
( join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)) != join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) != meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) = meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))))]]) ).
cnf(refute_0_6416,plain,
( join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)) != join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) = meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) ),
inference(resolve,[$cnf( $equal(meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) )],[refute_0_6414,refute_0_6415]) ).
cnf(refute_0_6417,plain,
meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) = meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) )],[refute_0_6413,refute_0_6416]) ).
cnf(refute_0_6418,plain,
( X_455 != meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))) != meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))))
| X_455 = meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_455,meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))))) ),[0],$fot(meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))))]]) ).
cnf(refute_0_6419,plain,
( X_455 != meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))
| X_455 = meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) ),
inference(resolve,[$cnf( $equal(meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))),meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455))))) )],[refute_0_6417,refute_0_6418]) ).
cnf(refute_0_6420,plain,
X_455 = meet(X_455,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))),
inference(resolve,[$cnf( $equal(X_455,meet(X_455,join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),X_455)))) )],[refute_0_6412,refute_0_6419]) ).
cnf(refute_0_6421,plain,
one = meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),
inference(subst,[],[refute_0_6420:[bind(X_455,$fot(one))]]) ).
cnf(refute_0_6422,plain,
( one != meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))
| meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))]]) ).
cnf(refute_0_6423,plain,
meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) )],[refute_0_6421,refute_0_6422]) ).
cnf(refute_0_6424,plain,
( meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) != zero
| meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != one
| meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))),zero) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_6425,plain,
( meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) != zero
| meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = zero ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),one) )],[refute_0_6423,refute_0_6424]) ).
cnf(refute_0_6426,plain,
meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))),zero) )],[refute_0_6125,refute_0_6425]) ).
cnf(refute_0_6427,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),
inference(subst,[],[refute_0_3031:[bind(X_15,$fot(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))]]) ).
cnf(refute_0_6428,plain,
meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one) = meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_5512:[bind(X_274,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6429,plain,
join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) = join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))]]) ).
cnf(refute_0_6430,plain,
( join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) != join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))
| meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one) != meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) = join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)),join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) ),[1,1],$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6431,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one) != meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) = join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)),join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) )],[refute_0_6429,refute_0_6430]) ).
cnf(refute_0_6432,plain,
join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) = join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one),meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6428,refute_0_6431]) ).
cnf(refute_0_6433,plain,
complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) = complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))]]) ).
cnf(refute_0_6434,plain,
( complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) != complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))
| join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) != join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6435,plain,
( join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)) != join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))
| complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) )],[refute_0_6433,refute_0_6434]) ).
cnf(refute_0_6436,plain,
complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)),join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6432,refute_0_6435]) ).
cnf(refute_0_6437,plain,
meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),
introduced(tautology,[refl,[$fot(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))]]) ).
cnf(refute_0_6438,plain,
( complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))
| meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_6439,plain,
( complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))
| meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) )],[refute_0_6437,refute_0_6438]) ).
cnf(refute_0_6440,plain,
meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_6436,refute_0_6439]) ).
cnf(refute_0_6441,plain,
complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),
inference(subst,[],[refute_0_2044:[bind(X_187,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_25,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))]]) ).
cnf(refute_0_6442,plain,
( complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))
| meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))
| complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))]]) ).
cnf(refute_0_6443,plain,
( meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))
| complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) )],[refute_0_6441,refute_0_6442]) ).
cnf(refute_0_6444,plain,
complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) = meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_6440,refute_0_6443]) ).
cnf(refute_0_6445,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),
introduced(tautology,[refl,[$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))]]) ).
cnf(refute_0_6446,plain,
( complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) ),[1,1],$fot(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_6447,plain,
( complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) )],[refute_0_6445,refute_0_6446]) ).
cnf(refute_0_6448,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_6444,refute_0_6447]) ).
cnf(refute_0_6449,plain,
meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),
introduced(tautology,[refl,[$fot(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))]]) ).
cnf(refute_0_6450,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6451,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) )],[refute_0_6449,refute_0_6450]) ).
cnf(refute_0_6452,plain,
meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5513,refute_0_6451]) ).
cnf(refute_0_6453,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))),bind(Z,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))]]) ).
cnf(refute_0_6454,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) )],[refute_0_6452,refute_0_6453]) ).
cnf(refute_0_6455,plain,
meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) )],[refute_0_6448,refute_0_6454]) ).
cnf(refute_0_6456,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) != meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))]]) ).
cnf(refute_0_6457,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) != meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) )],[refute_0_6455,refute_0_6456]) ).
cnf(refute_0_6458,plain,
meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) )],[refute_0_6427,refute_0_6457]) ).
cnf(refute_0_6459,plain,
meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(meet(complement(skolemFOFtoCNF_X0),one))),bind(X_15,$fot(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))]]) ).
cnf(refute_0_6460,plain,
( meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) != meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))
| meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))
| meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)))),bind(Y,$fot(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))]]) ).
cnf(refute_0_6461,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))
| meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)),meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) )],[refute_0_6459,refute_0_6460]) ).
cnf(refute_0_6462,plain,
meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) = meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),one),complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) )],[refute_0_6458,refute_0_6461]) ).
cnf(refute_0_6463,plain,
( meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) != meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))
| meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) != zero
| meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)),zero) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))]]) ).
cnf(refute_0_6464,plain,
( meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)) != zero
| meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)),meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) )],[refute_0_6462,refute_0_6463]) ).
cnf(refute_0_6465,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(complement(skolemFOFtoCNF_X0),one)),zero) )],[refute_0_6426,refute_0_6464]) ).
cnf(refute_0_6466,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) != zero
| complement(skolemFOFtoCNF_X0) = join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6467,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),zero) )],[refute_0_6465,refute_0_6466]) ).
cnf(refute_0_6468,plain,
complement(skolemFOFtoCNF_X0) = join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_6078,refute_0_6467]) ).
cnf(refute_0_6469,plain,
meet(complement(X_83),complement(skolemFOFtoCNF_X0)) = complement(join(X_83,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6470,plain,
( meet(complement(X_83),complement(skolemFOFtoCNF_X0)) != complement(join(X_83,skolemFOFtoCNF_X0))
| meet(complement(X_83),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,X_83))
| complement(join(X_83,skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_83),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,X_83))) ),[0],$fot(complement(join(X_83,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6471,plain,
( meet(complement(X_83),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,X_83))
| complement(join(X_83,skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,X_83)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(skolemFOFtoCNF_X0)),complement(join(X_83,skolemFOFtoCNF_X0))) )],[refute_0_6469,refute_0_6470]) ).
cnf(refute_0_6472,plain,
complement(join(X_83,skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,X_83)),
inference(resolve,[$cnf( $equal(meet(complement(X_83),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,X_83))) )],[refute_0_1823,refute_0_6471]) ).
cnf(refute_0_6473,plain,
complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),
inference(subst,[],[refute_0_6472:[bind(X_83,$fot(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))]]) ).
cnf(refute_0_6474,plain,
meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) = complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2308:[bind(X_188,$fot(skolemFOFtoCNF_X0)),bind(X_83,$fot(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))]]) ).
cnf(refute_0_6475,plain,
( complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))
| meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) != complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0))
| meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))))]]) ).
cnf(refute_0_6476,plain,
( complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))
| meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)),complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0))) )],[refute_0_6474,refute_0_6475]) ).
cnf(refute_0_6477,plain,
meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),
inference(resolve,[$cnf( $equal(complement(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))) )],[refute_0_6473,refute_0_6476]) ).
cnf(refute_0_6478,plain,
join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) = meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_180:[bind(X_85,$fot(meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6479,plain,
( join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) != meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))
| meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))
| join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))))]]) ).
cnf(refute_0_6480,plain,
( meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))
| join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_6478,refute_0_6479]) ).
cnf(refute_0_6481,plain,
join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))) )],[refute_0_6477,refute_0_6480]) ).
cnf(refute_0_6482,plain,
( complement(skolemFOFtoCNF_X0) != join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))
| complement(skolemFOFtoCNF_X0) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))) ),[0],$fot(join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6483,plain,
( complement(skolemFOFtoCNF_X0) != join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))) )],[refute_0_6481,refute_0_6482]) ).
cnf(refute_0_6484,plain,
complement(skolemFOFtoCNF_X0) = complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(zero,meet(complement(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_6468,refute_0_6483]) ).
cnf(refute_0_6485,plain,
( complement(skolemFOFtoCNF_X0) != complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))
| complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))))]]) ).
cnf(refute_0_6486,plain,
complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))) )],[refute_0_6484,refute_0_6485]) ).
cnf(refute_0_6487,plain,
( complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) != complement(skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) != complement(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6488,plain,
( join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) != complement(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6486,refute_0_6487]) ).
cnf(refute_0_6489,plain,
join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(complement(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))))) )],[refute_0_6077,refute_0_6488]) ).
cnf(refute_0_6490,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6491,plain,
( join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1849,refute_0_6490]) ).
cnf(refute_0_6492,plain,
join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_6489,refute_0_6491]) ).
cnf(refute_0_6493,plain,
( join(X0,join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) != join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))
| join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) != skolemFOFtoCNF_X0
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6494,plain,
( join(X0,join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))) != join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))),skolemFOFtoCNF_X0) )],[refute_0_6492,refute_0_6493]) ).
cnf(refute_0_6495,plain,
join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))),join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))) )],[refute_0_6076,refute_0_6494]) ).
cnf(refute_0_6496,plain,
join(zero,X0) = X0,
inference(subst,[],[refute_0_180:[bind(X_85,$fot(X0))]]) ).
cnf(refute_0_6497,plain,
meet(meet(X_97,X_96),complement(join(meet(X_97,X_96),meet(complement(X_96),X_97)))) = zero,
inference(subst,[],[refute_0_6098:[bind(X_178,$fot(meet(X_97,X_96))),bind(X_211,$fot(meet(complement(X_96),X_97)))]]) ).
cnf(refute_0_6498,plain,
( join(meet(X_97,X_96),meet(complement(X_96),X_97)) != X_97
| meet(meet(X_97,X_96),complement(join(meet(X_97,X_96),meet(complement(X_96),X_97)))) != zero
| meet(meet(X_97,X_96),complement(X_97)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_97,X_96),complement(join(meet(X_97,X_96),meet(complement(X_96),X_97)))),zero) ),[0,1,0],$fot(X_97)]]) ).
cnf(refute_0_6499,plain,
( meet(meet(X_97,X_96),complement(join(meet(X_97,X_96),meet(complement(X_96),X_97)))) != zero
| meet(meet(X_97,X_96),complement(X_97)) = zero ),
inference(resolve,[$cnf( $equal(join(meet(X_97,X_96),meet(complement(X_96),X_97)),X_97) )],[refute_0_1905,refute_0_6498]) ).
cnf(refute_0_6500,plain,
meet(meet(X_97,X_96),complement(X_97)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(X_97,X_96),complement(join(meet(X_97,X_96),meet(complement(X_96),X_97)))),zero) )],[refute_0_6497,refute_0_6499]) ).
cnf(refute_0_6501,plain,
meet(meet(X_97,X_96),complement(X_97)) = meet(complement(X_97),meet(X_97,X_96)),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(complement(X_97))),bind(X_15,$fot(meet(X_97,X_96)))]]) ).
cnf(refute_0_6502,plain,
( meet(meet(X_97,X_96),complement(X_97)) != meet(complement(X_97),meet(X_97,X_96))
| meet(meet(X_97,X_96),complement(X_97)) != zero
| meet(complement(X_97),meet(X_97,X_96)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_97,X_96),complement(X_97)),zero) ),[0],$fot(meet(complement(X_97),meet(X_97,X_96)))]]) ).
cnf(refute_0_6503,plain,
( meet(meet(X_97,X_96),complement(X_97)) != zero
| meet(complement(X_97),meet(X_97,X_96)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(X_97,X_96),complement(X_97)),meet(complement(X_97),meet(X_97,X_96))) )],[refute_0_6501,refute_0_6502]) ).
cnf(refute_0_6504,plain,
meet(complement(X_97),meet(X_97,X_96)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(X_97,X_96),complement(X_97)),zero) )],[refute_0_6500,refute_0_6503]) ).
cnf(refute_0_6505,plain,
meet(complement(meet(X_462,one)),meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))) = zero,
inference(subst,[],[refute_0_6504:[bind(X_96,$fot(join(X_462,complement(skolemFOFtoCNF_X0)))),bind(X_97,$fot(meet(X_462,one)))]]) ).
cnf(refute_0_6506,plain,
meet(one,X_456) = meet(meet(one,X_456),join(complement(skolemFOFtoCNF_X0),X_456)),
inference(subst,[],[refute_0_3142:[bind(X_83,$fot(X_456))]]) ).
cnf(refute_0_6507,plain,
join(X_456,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X_456),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_456)),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6508,plain,
( join(X_456,complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),X_456)
| join(complement(skolemFOFtoCNF_X0),X_456) = join(X_456,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_456,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),X_456)))]]) ).
cnf(refute_0_6509,plain,
join(complement(skolemFOFtoCNF_X0),X_456) = join(X_456,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(X_456,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),X_456)) )],[refute_0_6507,refute_0_6508]) ).
cnf(refute_0_6510,plain,
( join(complement(skolemFOFtoCNF_X0),X_456) != join(X_456,complement(skolemFOFtoCNF_X0))
| meet(one,X_456) != meet(meet(one,X_456),join(complement(skolemFOFtoCNF_X0),X_456))
| meet(one,X_456) = meet(meet(one,X_456),join(X_456,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_456),meet(meet(one,X_456),join(complement(skolemFOFtoCNF_X0),X_456))) ),[1,1],$fot(join(X_456,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6511,plain,
( meet(one,X_456) != meet(meet(one,X_456),join(complement(skolemFOFtoCNF_X0),X_456))
| meet(one,X_456) = meet(meet(one,X_456),join(X_456,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),X_456),join(X_456,complement(skolemFOFtoCNF_X0))) )],[refute_0_6509,refute_0_6510]) ).
cnf(refute_0_6512,plain,
meet(one,X_456) = meet(meet(one,X_456),join(X_456,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,X_456),meet(meet(one,X_456),join(complement(skolemFOFtoCNF_X0),X_456))) )],[refute_0_6506,refute_0_6511]) ).
cnf(refute_0_6513,plain,
meet(one,X_462) = meet(meet(one,X_462),join(X_462,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6512:[bind(X_456,$fot(X_462))]]) ).
cnf(refute_0_6514,plain,
meet(X_462,one) = meet(one,X_462),
inference(subst,[],[refute_0_253:[bind(X_14,$fot(X_462)),bind(X_15,$fot(one))]]) ).
cnf(refute_0_6515,plain,
( meet(X_462,one) != meet(one,X_462)
| meet(one,X_462) = meet(X_462,one) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_462,one))),bind(Y,$fot(meet(one,X_462)))]]) ).
cnf(refute_0_6516,plain,
meet(one,X_462) = meet(X_462,one),
inference(resolve,[$cnf( $equal(meet(X_462,one),meet(one,X_462)) )],[refute_0_6514,refute_0_6515]) ).
cnf(refute_0_6517,plain,
( meet(one,X_462) != meet(X_462,one)
| meet(one,X_462) != meet(meet(one,X_462),join(X_462,complement(skolemFOFtoCNF_X0)))
| meet(one,X_462) = meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,X_462),meet(meet(one,X_462),join(X_462,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(X_462,one))]]) ).
cnf(refute_0_6518,plain,
( meet(one,X_462) != meet(meet(one,X_462),join(X_462,complement(skolemFOFtoCNF_X0)))
| meet(one,X_462) = meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,X_462),meet(X_462,one)) )],[refute_0_6516,refute_0_6517]) ).
cnf(refute_0_6519,plain,
meet(one,X_462) = meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,X_462),meet(meet(one,X_462),join(X_462,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6513,refute_0_6518]) ).
cnf(refute_0_6520,plain,
( meet(one,X_462) != meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))
| meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))) = meet(one,X_462) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(one,X_462))),bind(Y,$fot(meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6521,plain,
meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))) = meet(one,X_462),
inference(resolve,[$cnf( $equal(meet(one,X_462),meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6519,refute_0_6520]) ).
cnf(refute_0_6522,plain,
( meet(complement(meet(X_462,one)),meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))) != zero
| meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))) != meet(one,X_462)
| meet(complement(meet(X_462,one)),meet(one,X_462)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_462,one)),meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))),zero) ),[0,1],$fot(meet(one,X_462))]]) ).
cnf(refute_0_6523,plain,
( meet(complement(meet(X_462,one)),meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))) != zero
| meet(complement(meet(X_462,one)),meet(one,X_462)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0))),meet(one,X_462)) )],[refute_0_6521,refute_0_6522]) ).
cnf(refute_0_6524,plain,
meet(complement(meet(X_462,one)),meet(one,X_462)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(meet(X_462,one)),meet(meet(X_462,one),join(X_462,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_6505,refute_0_6523]) ).
cnf(refute_0_6525,plain,
meet(complement(meet(X_462,one)),meet(one,X_462)) = meet(meet(one,X_462),complement(meet(X_462,one))),
inference(subst,[],[refute_0_599:[bind(X_14,$fot(meet(one,X_462))),bind(X_15,$fot(complement(meet(X_462,one))))]]) ).
cnf(refute_0_6526,plain,
( meet(complement(meet(X_462,one)),meet(one,X_462)) != meet(meet(one,X_462),complement(meet(X_462,one)))
| meet(complement(meet(X_462,one)),meet(one,X_462)) != zero
| meet(meet(one,X_462),complement(meet(X_462,one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_462,one)),meet(one,X_462)),zero) ),[0],$fot(meet(meet(one,X_462),complement(meet(X_462,one))))]]) ).
cnf(refute_0_6527,plain,
( meet(complement(meet(X_462,one)),meet(one,X_462)) != zero
| meet(meet(one,X_462),complement(meet(X_462,one))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_462,one)),meet(one,X_462)),meet(meet(one,X_462),complement(meet(X_462,one)))) )],[refute_0_6525,refute_0_6526]) ).
cnf(refute_0_6528,plain,
meet(meet(one,X_462),complement(meet(X_462,one))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(meet(X_462,one)),meet(one,X_462)),zero) )],[refute_0_6524,refute_0_6527]) ).
cnf(refute_0_6529,plain,
meet(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = zero,
inference(subst,[],[refute_0_6528:[bind(X_462,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))]]) ).
cnf(refute_0_6530,plain,
( meet(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) != zero
| meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != one
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_6531,plain,
( meet(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) != zero
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),one) )],[refute_0_6423,refute_0_6530]) ).
cnf(refute_0_6532,plain,
meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = zero,
inference(resolve,[$cnf( $equal(meet(meet(one,join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))),zero) )],[refute_0_6529,refute_0_6531]) ).
cnf(refute_0_6533,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))]]) ).
cnf(refute_0_6534,plain,
( complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))
| meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))
| meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) ),[1,1],$fot(meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_6535,plain,
( complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))) != meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))
| meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) )],[refute_0_6533,refute_0_6534]) ).
cnf(refute_0_6536,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) = meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))),meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_6444,refute_0_6535]) ).
cnf(refute_0_6537,plain,
meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),
inference(subst,[],[refute_0_2727:[bind(X_14,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),bind(X_15,$fot(one))]]) ).
cnf(refute_0_6538,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) != meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))))),bind(Y,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))))),bind(Z,$fot(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))))]]) ).
cnf(refute_0_6539,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))) != meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))),meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one)))))) )],[refute_0_6537,refute_0_6538]) ).
cnf(refute_0_6540,plain,
meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) = meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))))),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) )],[refute_0_6536,refute_0_6539]) ).
cnf(refute_0_6541,plain,
( meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) != meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))
| meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) != zero
| meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))),zero) ),[0],$fot(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))))]]) ).
cnf(refute_0_6542,plain,
( meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))) != zero
| meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))),meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))))) )],[refute_0_6540,refute_0_6541]) ).
cnf(refute_0_6543,plain,
meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(meet(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),meet(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)),one))),one))),zero) )],[refute_0_6532,refute_0_6542]) ).
cnf(refute_0_6544,plain,
join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0),
introduced(tautology,[refl,[$fot(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))]]) ).
cnf(refute_0_6545,plain,
( join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) != join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)
| meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) != zero
| join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = join(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0),join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6546,plain,
( meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))) != zero
| join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = join(zero,X0) ),
inference(resolve,[$cnf( $equal(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0),join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) )],[refute_0_6544,refute_0_6545]) ).
cnf(refute_0_6547,plain,
join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = join(zero,X0),
inference(resolve,[$cnf( $equal(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),zero) )],[refute_0_6543,refute_0_6546]) ).
cnf(refute_0_6548,plain,
( join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) != join(zero,X0)
| join(zero,X0) != X0
| join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = X0 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))),bind(Y,$fot(join(zero,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_6549,plain,
( join(zero,X0) != X0
| join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = X0 ),
inference(resolve,[$cnf( $equal(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0),join(zero,X0)) )],[refute_0_6547,refute_0_6548]) ).
cnf(refute_0_6550,plain,
join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) = X0,
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_6496,refute_0_6549]) ).
cnf(refute_0_6551,plain,
join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) = join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)))]]) ).
cnf(refute_0_6552,plain,
( join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) != X0
| join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) != join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))
| join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) = join(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)),join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_6553,plain,
( join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0) != X0
| join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) = join(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)),join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))) )],[refute_0_6551,refute_0_6552]) ).
cnf(refute_0_6554,plain,
join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) = join(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0),X0) )],[refute_0_6550,refute_0_6553]) ).
cnf(refute_0_6555,plain,
( join(X0,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))
| join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)) != join(skolemFOFtoCNF_X0,X0)
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X0)) ),[0],$fot(join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)))]]) ).
cnf(refute_0_6556,plain,
( join(X0,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0)),join(skolemFOFtoCNF_X0,X0)) )],[refute_0_6554,refute_0_6555]) ).
cnf(refute_0_6557,plain,
join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(join(X0,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(meet(one,meet(composition(skolemFOFtoCNF_X0,top),complement(join(skolemFOFtoCNF_X0,meet(one,meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))))),X0))) )],[refute_0_6495,refute_0_6556]) ).
cnf(refute_0_6558,plain,
join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_6557:[bind(X0,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6559,plain,
converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6560,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) != join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top)))
| converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6561,plain,
( join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top)))
| converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))),join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0)) )],[refute_0_6559,refute_0_6560]) ).
cnf(refute_0_6562,plain,
converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6558,refute_0_6561]) ).
cnf(refute_0_6563,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6564,plain,
( converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6562,refute_0_6563]) ).
cnf(refute_0_6565,plain,
join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,top),converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6075,refute_0_6564]) ).
cnf(refute_0_6566,plain,
( converse(join(X_711,join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))))) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) = join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_711,join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))))),join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),[0,0,1],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6567,plain,
( converse(join(X_711,join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))))) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) = join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6565,refute_0_6566]) ).
cnf(refute_0_6568,plain,
converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) = join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(join(X_711,join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,top))))),join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5745,refute_0_6567]) ).
cnf(refute_0_6569,plain,
converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) = join(converse(X_711),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_699:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_19,$fot(X_711))]]) ).
cnf(refute_0_6570,plain,
( converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) != join(converse(X_711),composition(skolemFOFtoCNF_X0,top))
| converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) = join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))),join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(join(converse(X_711),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6571,plain,
( converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) = join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))),join(converse(X_711),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6569,refute_0_6570]) ).
cnf(refute_0_6572,plain,
converse(join(join(X_712,converse(X_710)),X_19)) = converse(join(X_19,join(X_712,converse(X_710)))),
inference(subst,[],[refute_0_1002:[bind(X_20,$fot(join(X_712,converse(X_710))))]]) ).
cnf(refute_0_6573,plain,
converse(join(X_19,join(X_712,converse(X_710)))) = join(converse(join(X_19,X_712)),X_710),
inference(subst,[],[refute_0_706:[bind(X0,$fot(X_710)),bind(X_25,$fot(X_19)),bind(X_26,$fot(X_712))]]) ).
cnf(refute_0_6574,plain,
( converse(join(X_19,join(X_712,converse(X_710)))) != join(converse(join(X_19,X_712)),X_710)
| converse(join(join(X_712,converse(X_710)),X_19)) != converse(join(X_19,join(X_712,converse(X_710))))
| converse(join(join(X_712,converse(X_710)),X_19)) = join(converse(join(X_19,X_712)),X_710) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),converse(join(X_19,join(X_712,converse(X_710))))) ),[1],$fot(join(converse(join(X_19,X_712)),X_710))]]) ).
cnf(refute_0_6575,plain,
( converse(join(join(X_712,converse(X_710)),X_19)) != converse(join(X_19,join(X_712,converse(X_710))))
| converse(join(join(X_712,converse(X_710)),X_19)) = join(converse(join(X_19,X_712)),X_710) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,join(X_712,converse(X_710)))),join(converse(join(X_19,X_712)),X_710)) )],[refute_0_6573,refute_0_6574]) ).
cnf(refute_0_6576,plain,
converse(join(join(X_712,converse(X_710)),X_19)) = join(converse(join(X_19,X_712)),X_710),
inference(resolve,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),converse(join(X_19,join(X_712,converse(X_710))))) )],[refute_0_6572,refute_0_6575]) ).
cnf(refute_0_6577,plain,
converse(join(X_712,join(converse(X_710),X_19))) = join(X_710,converse(join(X_712,X_19))),
inference(subst,[],[refute_0_4628:[bind(X0,$fot(X_710)),bind(X_124,$fot(X_712)),bind(X_125,$fot(X_19))]]) ).
cnf(refute_0_6578,plain,
join(join(X_712,converse(X_710)),X_19) = join(X_712,join(converse(X_710),X_19)),
inference(subst,[],[refute_0_267:[bind(X0,$fot(X_712)),bind(X1,$fot(converse(X_710))),bind(X2,$fot(X_19))]]) ).
cnf(refute_0_6579,plain,
converse(join(join(X_712,converse(X_710)),X_19)) = converse(join(join(X_712,converse(X_710)),X_19)),
introduced(tautology,[refl,[$fot(converse(join(join(X_712,converse(X_710)),X_19)))]]) ).
cnf(refute_0_6580,plain,
( converse(join(join(X_712,converse(X_710)),X_19)) != converse(join(join(X_712,converse(X_710)),X_19))
| join(join(X_712,converse(X_710)),X_19) != join(X_712,join(converse(X_710),X_19))
| converse(join(join(X_712,converse(X_710)),X_19)) = converse(join(X_712,join(converse(X_710),X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),converse(join(join(X_712,converse(X_710)),X_19))) ),[1,0],$fot(join(X_712,join(converse(X_710),X_19)))]]) ).
cnf(refute_0_6581,plain,
( join(join(X_712,converse(X_710)),X_19) != join(X_712,join(converse(X_710),X_19))
| converse(join(join(X_712,converse(X_710)),X_19)) = converse(join(X_712,join(converse(X_710),X_19))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),converse(join(join(X_712,converse(X_710)),X_19))) )],[refute_0_6579,refute_0_6580]) ).
cnf(refute_0_6582,plain,
converse(join(join(X_712,converse(X_710)),X_19)) = converse(join(X_712,join(converse(X_710),X_19))),
inference(resolve,[$cnf( $equal(join(join(X_712,converse(X_710)),X_19),join(X_712,join(converse(X_710),X_19))) )],[refute_0_6578,refute_0_6581]) ).
cnf(refute_0_6583,plain,
( converse(join(X_712,join(converse(X_710),X_19))) != join(X_710,converse(join(X_712,X_19)))
| converse(join(join(X_712,converse(X_710)),X_19)) != converse(join(X_712,join(converse(X_710),X_19)))
| converse(join(join(X_712,converse(X_710)),X_19)) = join(X_710,converse(join(X_712,X_19))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(join(join(X_712,converse(X_710)),X_19)))),bind(Y,$fot(converse(join(X_712,join(converse(X_710),X_19))))),bind(Z,$fot(join(X_710,converse(join(X_712,X_19)))))]]) ).
cnf(refute_0_6584,plain,
( converse(join(X_712,join(converse(X_710),X_19))) != join(X_710,converse(join(X_712,X_19)))
| converse(join(join(X_712,converse(X_710)),X_19)) = join(X_710,converse(join(X_712,X_19))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),converse(join(X_712,join(converse(X_710),X_19)))) )],[refute_0_6582,refute_0_6583]) ).
cnf(refute_0_6585,plain,
converse(join(join(X_712,converse(X_710)),X_19)) = join(X_710,converse(join(X_712,X_19))),
inference(resolve,[$cnf( $equal(converse(join(X_712,join(converse(X_710),X_19))),join(X_710,converse(join(X_712,X_19)))) )],[refute_0_6577,refute_0_6584]) ).
cnf(refute_0_6586,plain,
( converse(join(join(X_712,converse(X_710)),X_19)) != join(X_710,converse(join(X_712,X_19)))
| converse(join(join(X_712,converse(X_710)),X_19)) != join(converse(join(X_19,X_712)),X_710)
| join(X_710,converse(join(X_712,X_19))) = join(converse(join(X_19,X_712)),X_710) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),join(converse(join(X_19,X_712)),X_710)) ),[0],$fot(join(X_710,converse(join(X_712,X_19))))]]) ).
cnf(refute_0_6587,plain,
( converse(join(join(X_712,converse(X_710)),X_19)) != join(converse(join(X_19,X_712)),X_710)
| join(X_710,converse(join(X_712,X_19))) = join(converse(join(X_19,X_712)),X_710) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),join(X_710,converse(join(X_712,X_19)))) )],[refute_0_6585,refute_0_6586]) ).
cnf(refute_0_6588,plain,
join(X_710,converse(join(X_712,X_19))) = join(converse(join(X_19,X_712)),X_710),
inference(resolve,[$cnf( $equal(converse(join(join(X_712,converse(X_710)),X_19)),join(converse(join(X_19,X_712)),X_710)) )],[refute_0_6576,refute_0_6587]) ).
cnf(refute_0_6589,plain,
( join(X_710,converse(join(X_712,X_19))) != join(converse(join(X_19,X_712)),X_710)
| join(converse(join(X_19,X_712)),X_710) = join(X_710,converse(join(X_712,X_19))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_710,converse(join(X_712,X_19))))),bind(Y,$fot(join(converse(join(X_19,X_712)),X_710)))]]) ).
cnf(refute_0_6590,plain,
join(converse(join(X_19,X_712)),X_710) = join(X_710,converse(join(X_712,X_19))),
inference(resolve,[$cnf( $equal(join(X_710,converse(join(X_712,X_19))),join(converse(join(X_19,X_712)),X_710)) )],[refute_0_6588,refute_0_6589]) ).
cnf(refute_0_6591,plain,
join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))),
inference(subst,[],[refute_0_6590:[bind(X_19,$fot(X_711)),bind(X_710,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_712,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6592,plain,
( join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711)))
| join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(X_711),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711)))) ),[0],$fot(join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6593,plain,
( join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711)))) )],[refute_0_6591,refute_0_6592]) ).
cnf(refute_0_6594,plain,
( converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))) != join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))) ),
inference(resolve,[$cnf( $equal(join(converse(X_711),composition(skolemFOFtoCNF_X0,top)),join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6571,refute_0_6593]) ).
cnf(refute_0_6595,plain,
join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))),
inference(resolve,[$cnf( $equal(converse(join(X_711,converse(composition(skolemFOFtoCNF_X0,top)))),join(converse(join(X_711,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6568,refute_0_6594]) ).
cnf(refute_0_6596,plain,
( join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711)))
| join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))) = join(converse(X_711),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(converse(X_711),composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711)))))]]) ).
cnf(refute_0_6597,plain,
join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711))) = join(converse(X_711),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(converse(X_711),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,X_711)))) )],[refute_0_6595,refute_0_6596]) ).
cnf(refute_0_6598,plain,
join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_6597:[bind(X_711,$fot(complement(one)))]]) ).
cnf(refute_0_6599,plain,
( join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top))
| join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(join(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6600,plain,
( join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6598,refute_0_6599]) ).
cnf(refute_0_6601,plain,
join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),composition(skolemFOFtoCNF_X0,top)),join(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5744,refute_0_6600]) ).
cnf(refute_0_6602,plain,
join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6603,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6604,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6602,refute_0_6603]) ).
cnf(refute_0_6605,plain,
join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4794,refute_0_6604]) ).
cnf(refute_0_6606,plain,
( composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(skolemFOFtoCNF_X0),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),top))),bind(Y,$fot(converse(composition(top,skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6607,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(skolemFOFtoCNF_X0),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5754,refute_0_6606]) ).
cnf(refute_0_6608,plain,
composition(converse(skolemFOFtoCNF_X0),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6015,refute_0_6607]) ).
cnf(refute_0_6609,plain,
composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),complement(zero)))]]) ).
cnf(refute_0_6610,plain,
( complement(zero) != top
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) != composition(converse(skolemFOFtoCNF_X0),complement(zero))
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(converse(skolemFOFtoCNF_X0),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_6611,plain,
( complement(zero) != top
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(converse(skolemFOFtoCNF_X0),complement(zero))) )],[refute_0_6609,refute_0_6610]) ).
cnf(refute_0_6612,plain,
composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(converse(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1237,refute_0_6611]) ).
cnf(refute_0_6613,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(zero)) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(converse(skolemFOFtoCNF_X0),top) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),complement(zero)))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6614,plain,
( composition(converse(skolemFOFtoCNF_X0),top) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_6612,refute_0_6613]) ).
cnf(refute_0_6615,plain,
composition(converse(skolemFOFtoCNF_X0),complement(zero)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6608,refute_0_6614]) ).
cnf(refute_0_6616,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6617,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(zero)) != composition(skolemFOFtoCNF_X0,top)
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_6618,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(zero)) != composition(skolemFOFtoCNF_X0,top)
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6616,refute_0_6617]) ).
cnf(refute_0_6619,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(zero)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_6615,refute_0_6618]) ).
cnf(refute_0_6620,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6621,plain,
( join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6619,refute_0_6620]) ).
cnf(refute_0_6622,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6605,refute_0_6621]) ).
cnf(refute_0_6623,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(join(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6624,plain,
( join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6622,refute_0_6623]) ).
cnf(refute_0_6625,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6601,refute_0_6624]) ).
cnf(refute_0_6626,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1098:[bind(X_123,$fot(composition(converse(skolemFOFtoCNF_X0),complement(zero)))),bind(X_124,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6627,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))))),bind(Y,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6628,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6626,refute_0_6627]) ).
cnf(refute_0_6629,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) = join(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(zero)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6625,refute_0_6628]) ).
cnf(refute_0_6630,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != join(complement(one),composition(skolemFOFtoCNF_X0,top))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(one),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6631,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),join(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6629,refute_0_6630]) ).
cnf(refute_0_6632,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6633,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4794,refute_0_6632]) ).
cnf(refute_0_6634,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6631,refute_0_6633]) ).
cnf(refute_0_6635,plain,
join(complement(one),composition(skolemFOFtoCNF_X0,top)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(zero))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5740,refute_0_6634]) ).
cnf(refute_0_6636,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6637,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6638,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6636,refute_0_6637]) ).
cnf(refute_0_6639,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6635,refute_0_6638]) ).
cnf(refute_0_6640,plain,
( meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6641,plain,
( meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6639,refute_0_6640]) ).
cnf(refute_0_6642,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_3107,refute_0_6641]) ).
cnf(refute_0_6643,plain,
( meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) ),[0],$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6644,plain,
( meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_6642,refute_0_6643]) ).
cnf(refute_0_6645,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) )],[refute_0_4327,refute_0_6644]) ).
cnf(refute_0_6646,plain,
join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6647,plain,
( join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6648,plain,
( meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6646,refute_0_6647]) ).
cnf(refute_0_6649,plain,
join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_6645,refute_0_6648]) ).
cnf(refute_0_6650,plain,
( join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6651,plain,
( join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6649,refute_0_6650]) ).
cnf(refute_0_6652,plain,
join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_3126,refute_0_6651]) ).
cnf(refute_0_6653,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6654,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6652,refute_0_6653]) ).
cnf(refute_0_6655,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_3110,refute_0_6654]) ).
cnf(refute_0_6656,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6657,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6655,refute_0_6656]) ).
cnf(refute_0_6658,plain,
complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6659,plain,
( complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6660,plain,
( meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_6658,refute_0_6659]) ).
cnf(refute_0_6661,plain,
complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_6645,refute_0_6660]) ).
cnf(refute_0_6662,plain,
converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6663,plain,
( complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6664,plain,
( complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_6662,refute_0_6663]) ).
cnf(refute_0_6665,plain,
converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6661,refute_0_6664]) ).
cnf(refute_0_6666,plain,
( converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6667,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6665,refute_0_6666]) ).
cnf(refute_0_6668,plain,
converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2852,refute_0_6667]) ).
cnf(refute_0_6669,plain,
meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6670,plain,
( converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6671,plain,
( converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6669,refute_0_6670]) ).
cnf(refute_0_6672,plain,
meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_6668,refute_0_6671]) ).
cnf(refute_0_6673,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6674,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6672,refute_0_6673]) ).
cnf(refute_0_6675,plain,
meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2869,refute_0_6674]) ).
cnf(refute_0_6676,plain,
complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6677,plain,
( complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6678,plain,
( meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6676,refute_0_6677]) ).
cnf(refute_0_6679,plain,
complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6675,refute_0_6678]) ).
cnf(refute_0_6680,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6681,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6679,refute_0_6680]) ).
cnf(refute_0_6682,plain,
complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4794,refute_0_6681]) ).
cnf(refute_0_6683,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6684,plain,
( complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6685,plain,
( complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6683,refute_0_6684]) ).
cnf(refute_0_6686,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6682,refute_0_6685]) ).
cnf(refute_0_6687,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6688,plain,
( join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6686,refute_0_6687]) ).
cnf(refute_0_6689,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6657,refute_0_6688]) ).
cnf(refute_0_6690,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(skolemFOFtoCNF_X0,complement(one)) != join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(one)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6691,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(one)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6689,refute_0_6690]) ).
cnf(refute_0_6692,plain,
join(skolemFOFtoCNF_X0,complement(one)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,converse(complement(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3091,refute_0_6691]) ).
cnf(refute_0_6693,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6694,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6692,refute_0_6693]) ).
cnf(refute_0_6695,plain,
meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6696,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6697,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6695,refute_0_6696]) ).
cnf(refute_0_6698,plain,
meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6694,refute_0_6697]) ).
cnf(refute_0_6699,plain,
( meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) != skolemFOFtoCNF_X0
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6700,plain,
( meet(one,join(skolemFOFtoCNF_X0,complement(one))) != skolemFOFtoCNF_X0
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6698,refute_0_6699]) ).
cnf(refute_0_6701,plain,
meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(one))),skolemFOFtoCNF_X0) )],[refute_0_1853,refute_0_6700]) ).
cnf(refute_0_6702,plain,
( meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(skolemFOFtoCNF_X0)
| meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0)) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6703,plain,
( meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(skolemFOFtoCNF_X0)
| skolemFOFtoCNF_X0 = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),skolemFOFtoCNF_X0) )],[refute_0_6701,refute_0_6702]) ).
cnf(refute_0_6704,plain,
skolemFOFtoCNF_X0 = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1605,refute_0_6703]) ).
cnf(refute_0_6705,plain,
converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_6706,plain,
( skolemFOFtoCNF_X0 != converse(skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6707,plain,
skolemFOFtoCNF_X0 != converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_6706,refute_0_6705]) ).
cnf(refute_0_6708,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) )],[refute_0_6704,refute_0_6707]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : REL025+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 15:10:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 39.44/39.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.44/39.66
% 39.44/39.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.45/40.71
%------------------------------------------------------------------------------