%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL027+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 19:44:20 EDT 2022
% Result : Theorem 170.24s 170.42s
% Output : CNFRefutation 172.64s
% 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
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ) ).
fof(subgoal_0,plain,
! [X0] :
( join(X0,one) = one
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( join(X0,one) = one
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ),
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] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_3,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_5,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_7,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_11,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_13,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_15,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_17,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,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_19,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
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] :
( meet(complement(composition(X0,top)),one) != meet(complement(X0),one)
& join(X0,one) = one ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_23,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(complement(skolemFOFtoCNF_X0),one)
& 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,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(complement(skolemFOFtoCNF_X0),one),
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(join(zero,complement(X_31)),X1) = complement(join(complement(join(zero,complement(X_31))),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(join(zero,complement(X_31))))]]) ).
cnf(refute_0_2,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(top))]]) ).
cnf(refute_0_3,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_4,plain,
zero = meet(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28)))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(join(complement(X_27),complement(X_28))))]]) ).
cnf(refute_0_5,plain,
meet(X_27,X_28) = complement(join(complement(X_27),complement(X_28))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_27)),bind(X1,$fot(X_28))]]) ).
cnf(refute_0_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( meet(X_27,X_28) != complement(join(complement(X_27),complement(X_28)))
| complement(join(complement(X_27),complement(X_28))) = meet(X_27,X_28) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_27,X_28))),bind(Y,$fot(complement(join(complement(X_27),complement(X_28)))))]]) ).
cnf(refute_0_10,plain,
complement(join(complement(X_27),complement(X_28))) = meet(X_27,X_28),
inference(resolve,[$cnf( $equal(meet(X_27,X_28),complement(join(complement(X_27),complement(X_28)))) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( complement(join(complement(X_27),complement(X_28))) != meet(X_27,X_28)
| zero != meet(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))
| zero = meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))) ),[1,1],$fot(meet(X_27,X_28))]]) ).
cnf(refute_0_12,plain,
( zero != meet(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))
| zero = meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_27),complement(X_28))),meet(X_27,X_28)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
zero = meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_15,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_16,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
join(meet(X_27,X_28),complement(meet(X_27,X_28))) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_27,X_28)))]]) ).
cnf(refute_0_18,plain,
complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) = complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))))]]) ).
cnf(refute_0_19,plain,
( complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) != complement(join(meet(X_27,X_28),complement(meet(X_27,X_28))))
| join(meet(X_27,X_28),complement(meet(X_27,X_28))) != top
| complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))),complement(join(meet(X_27,X_28),complement(meet(X_27,X_28))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_20,plain,
( join(meet(X_27,X_28),complement(meet(X_27,X_28))) != top
| complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))),complement(join(meet(X_27,X_28),complement(meet(X_27,X_28))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_27,X_28),complement(meet(X_27,X_28))),top) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
meet(join(complement(X_27),complement(X_28)),X1) = complement(join(complement(join(complement(X_27),complement(X_28))),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(join(complement(X_27),complement(X_28))))]]) ).
cnf(refute_0_23,plain,
( complement(join(complement(X_27),complement(X_28))) != meet(X_27,X_28)
| meet(join(complement(X_27),complement(X_28)),X1) != complement(join(complement(join(complement(X_27),complement(X_28))),complement(X1)))
| meet(join(complement(X_27),complement(X_28)),X1) = complement(join(meet(X_27,X_28),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_27),complement(X_28)),X1),complement(join(complement(join(complement(X_27),complement(X_28))),complement(X1)))) ),[1,0,0],$fot(meet(X_27,X_28))]]) ).
cnf(refute_0_24,plain,
( meet(join(complement(X_27),complement(X_28)),X1) != complement(join(complement(join(complement(X_27),complement(X_28))),complement(X1)))
| meet(join(complement(X_27),complement(X_28)),X1) = complement(join(meet(X_27,X_28),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_27),complement(X_28))),meet(X_27,X_28)) )],[refute_0_10,refute_0_23]) ).
cnf(refute_0_25,plain,
meet(join(complement(X_27),complement(X_28)),X1) = complement(join(meet(X_27,X_28),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_27),complement(X_28)),X1),complement(join(complement(join(complement(X_27),complement(X_28))),complement(X1)))) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) = complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))),
inference(subst,[],[refute_0_25:[bind(X1,$fot(meet(X_27,X_28)))]]) ).
cnf(refute_0_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_8,refute_0_27]) ).
cnf(refute_0_29,plain,
( complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) != complement(top)
| meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) != complement(join(meet(X_27,X_28),complement(meet(X_27,X_28))))
| meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) = complement(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)))),bind(Y,$fot(complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_30,plain,
( complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))) != complement(top)
| meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)),complement(join(meet(X_27,X_28),complement(meet(X_27,X_28))))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_27,X_28),complement(meet(X_27,X_28)))),complement(top)) )],[refute_0_21,refute_0_30]) ).
cnf(refute_0_32,plain,
( meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) != complement(top)
| zero != meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_33,plain,
( zero != meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28)),complement(top)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_27),complement(X_28)),meet(X_27,X_28))) )],[refute_0_13,refute_0_33]) ).
cnf(refute_0_35,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_36,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_38,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_2,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(top,X_31) = complement(join(zero,complement(X_31))),
inference(subst,[],[refute_0_39:[bind(X1,$fot(X_31))]]) ).
cnf(refute_0_41,plain,
( meet(top,X_31) != complement(join(zero,complement(X_31)))
| complement(join(zero,complement(X_31))) = meet(top,X_31) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(top,X_31))),bind(Y,$fot(complement(join(zero,complement(X_31)))))]]) ).
cnf(refute_0_42,plain,
complement(join(zero,complement(X_31))) = meet(top,X_31),
inference(resolve,[$cnf( $equal(meet(top,X_31),complement(join(zero,complement(X_31)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( complement(join(zero,complement(X_31))) != meet(top,X_31)
| meet(join(zero,complement(X_31)),X1) != complement(join(complement(join(zero,complement(X_31))),complement(X1)))
| meet(join(zero,complement(X_31)),X1) = complement(join(meet(top,X_31),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),complement(join(complement(join(zero,complement(X_31))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_31))]]) ).
cnf(refute_0_44,plain,
( meet(join(zero,complement(X_31)),X1) != complement(join(complement(join(zero,complement(X_31))),complement(X1)))
| meet(join(zero,complement(X_31)),X1) = complement(join(meet(top,X_31),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_31))),meet(top,X_31)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
meet(join(zero,complement(X_31)),X1) = complement(join(meet(top,X_31),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),complement(join(complement(join(zero,complement(X_31))),complement(X1)))) )],[refute_0_1,refute_0_44]) ).
cnf(refute_0_46,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_47,plain,
join(zero,join(zero,X_57)) = join(join(zero,zero),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(zero)),bind(X1,$fot(zero)),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_48,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_49,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_50,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_51,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_53,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_54,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_48,refute_0_54]) ).
cnf(refute_0_56,plain,
join(complement(X_24),composition(converse(one),complement(composition(one,X_24)))) = complement(X_24),
inference(subst,[],[refute_0_55:[bind(X0,$fot(one)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_57,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_58,plain,
converse(composition(converse(X0),X_12)) = composition(converse(X_12),converse(converse(X0))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_59,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_60,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_61,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),converse(converse(X0)))
| converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
converse(composition(converse(X0),X_12)) = composition(converse(X_12),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),converse(converse(X0)))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
converse(composition(converse(X_13),one)) = composition(converse(one),X_13),
inference(subst,[],[refute_0_62:[bind(X0,$fot(X_13)),bind(X_12,$fot(one))]]) ).
cnf(refute_0_64,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_65,plain,
composition(converse(X_13),one) = converse(X_13),
inference(subst,[],[refute_0_64:[bind(X0,$fot(converse(X_13)))]]) ).
cnf(refute_0_66,plain,
( composition(converse(X_13),one) != converse(X_13)
| converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) ),[0,0],$fot(converse(X_13))]]) ).
cnf(refute_0_67,plain,
( converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(X_13),one),converse(X_13)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
converse(converse(X_13)) = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) )],[refute_0_63,refute_0_67]) ).
cnf(refute_0_69,plain,
converse(converse(X_13)) = X_13,
inference(subst,[],[refute_0_59:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_70,plain,
( converse(converse(X_13)) != X_13
| converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) ),[0],$fot(X_13)]]) ).
cnf(refute_0_71,plain,
( converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),X_13) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
X_13 = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_64:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_74,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_72:[bind(X_13,$fot(one))]]) ).
cnf(refute_0_75,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_76,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_78,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_73,refute_0_78]) ).
cnf(refute_0_80,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_81,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
composition(converse(one),X_13) = composition(converse(one),X_13),
introduced(tautology,[refl,[$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_83,plain,
( composition(converse(one),X_13) != composition(converse(one),X_13)
| converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_84,plain,
( converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
composition(converse(one),X_13) = composition(one,X_13),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
( X_13 != composition(converse(one),X_13)
| composition(converse(one),X_13) != composition(one,X_13)
| X_13 = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_13,composition(one,X_13)) ),[0],$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_87,plain,
( X_13 != composition(converse(one),X_13)
| X_13 = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(one,X_13)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
X_13 = composition(one,X_13),
inference(resolve,[$cnf( $equal(X_13,composition(converse(one),X_13)) )],[refute_0_72,refute_0_87]) ).
cnf(refute_0_89,plain,
X_24 = composition(one,X_24),
inference(subst,[],[refute_0_88:[bind(X_13,$fot(X_24))]]) ).
cnf(refute_0_90,plain,
( X_24 != composition(one,X_24)
| composition(one,X_24) = X_24 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_24)),bind(Y,$fot(composition(one,X_24)))]]) ).
cnf(refute_0_91,plain,
composition(one,X_24) = X_24,
inference(resolve,[$cnf( $equal(X_24,composition(one,X_24)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( composition(one,X_24) != X_24
| join(complement(X_24),composition(converse(one),complement(composition(one,X_24)))) != complement(X_24)
| join(complement(X_24),composition(converse(one),complement(X_24))) = complement(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(composition(one,X_24)))),complement(X_24)) ),[0,1,1,0],$fot(X_24)]]) ).
cnf(refute_0_93,plain,
( join(complement(X_24),composition(converse(one),complement(composition(one,X_24)))) != complement(X_24)
| join(complement(X_24),composition(converse(one),complement(X_24))) = complement(X_24) ),
inference(resolve,[$cnf( $equal(composition(one,X_24),X_24) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
join(complement(X_24),composition(converse(one),complement(X_24))) = complement(X_24),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(composition(one,X_24)))),complement(X_24)) )],[refute_0_56,refute_0_93]) ).
cnf(refute_0_95,plain,
( X_13 != composition(one,X_13)
| composition(one,X_13) = X_13 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_13)),bind(Y,$fot(composition(one,X_13)))]]) ).
cnf(refute_0_96,plain,
composition(one,X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,composition(one,X_13)) )],[refute_0_88,refute_0_95]) ).
cnf(refute_0_97,plain,
composition(one,complement(X_24)) = complement(X_24),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(X_24)))]]) ).
cnf(refute_0_98,plain,
composition(converse(one),complement(X_24)) = composition(converse(one),complement(X_24)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_24)))]]) ).
cnf(refute_0_99,plain,
( composition(converse(one),complement(X_24)) != composition(converse(one),complement(X_24))
| converse(one) != one
| composition(converse(one),complement(X_24)) = composition(one,complement(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_24)),composition(converse(one),complement(X_24))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_100,plain,
( converse(one) != one
| composition(converse(one),complement(X_24)) = composition(one,complement(X_24)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_24)),composition(converse(one),complement(X_24))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
composition(converse(one),complement(X_24)) = composition(one,complement(X_24)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_100]) ).
cnf(refute_0_102,plain,
( composition(converse(one),complement(X_24)) != composition(one,complement(X_24))
| composition(one,complement(X_24)) != complement(X_24)
| composition(converse(one),complement(X_24)) = complement(X_24) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(one),complement(X_24)))),bind(Y,$fot(composition(one,complement(X_24)))),bind(Z,$fot(complement(X_24)))]]) ).
cnf(refute_0_103,plain,
( composition(one,complement(X_24)) != complement(X_24)
| composition(converse(one),complement(X_24)) = complement(X_24) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_24)),composition(one,complement(X_24))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
composition(converse(one),complement(X_24)) = complement(X_24),
inference(resolve,[$cnf( $equal(composition(one,complement(X_24)),complement(X_24)) )],[refute_0_97,refute_0_103]) ).
cnf(refute_0_105,plain,
join(complement(X_24),composition(converse(one),complement(X_24))) = join(complement(X_24),composition(converse(one),complement(X_24))),
introduced(tautology,[refl,[$fot(join(complement(X_24),composition(converse(one),complement(X_24))))]]) ).
cnf(refute_0_106,plain,
( composition(converse(one),complement(X_24)) != complement(X_24)
| join(complement(X_24),composition(converse(one),complement(X_24))) != join(complement(X_24),composition(converse(one),complement(X_24)))
| join(complement(X_24),composition(converse(one),complement(X_24))) = join(complement(X_24),complement(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(X_24))),join(complement(X_24),composition(converse(one),complement(X_24)))) ),[1,1],$fot(complement(X_24))]]) ).
cnf(refute_0_107,plain,
( composition(converse(one),complement(X_24)) != complement(X_24)
| join(complement(X_24),composition(converse(one),complement(X_24))) = join(complement(X_24),complement(X_24)) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(X_24))),join(complement(X_24),composition(converse(one),complement(X_24)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(complement(X_24),composition(converse(one),complement(X_24))) = join(complement(X_24),complement(X_24)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_24)),complement(X_24)) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( join(complement(X_24),composition(converse(one),complement(X_24))) != complement(X_24)
| join(complement(X_24),composition(converse(one),complement(X_24))) != join(complement(X_24),complement(X_24))
| join(complement(X_24),complement(X_24)) = complement(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(X_24))),complement(X_24)) ),[0],$fot(join(complement(X_24),complement(X_24)))]]) ).
cnf(refute_0_110,plain,
( join(complement(X_24),composition(converse(one),complement(X_24))) != complement(X_24)
| join(complement(X_24),complement(X_24)) = complement(X_24) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(X_24))),join(complement(X_24),complement(X_24))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
join(complement(X_24),complement(X_24)) = complement(X_24),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(converse(one),complement(X_24))),complement(X_24)) )],[refute_0_94,refute_0_110]) ).
cnf(refute_0_112,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_111:[bind(X_24,$fot(top))]]) ).
cnf(refute_0_113,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(zero,complement(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_114,plain,
( join(complement(top),complement(top)) != complement(top)
| join(zero,complement(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_113]) ).
cnf(refute_0_115,plain,
join(zero,complement(top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_112,refute_0_114]) ).
cnf(refute_0_116,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_117,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_118,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_118]) ).
cnf(refute_0_120,plain,
( join(zero,complement(top)) != complement(top)
| join(zero,complement(top)) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_121,plain,
( join(zero,complement(top)) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_123,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_122]) ).
cnf(refute_0_124,plain,
( join(zero,complement(top)) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_121,refute_0_123]) ).
cnf(refute_0_125,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,complement(top)),complement(top)) )],[refute_0_115,refute_0_124]) ).
cnf(refute_0_126,plain,
( join(zero,join(zero,X_57)) != join(join(zero,zero),X_57)
| join(zero,zero) != zero
| join(zero,join(zero,X_57)) = join(zero,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_57)),join(join(zero,zero),X_57)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_127,plain,
( join(zero,join(zero,X_57)) != join(join(zero,zero),X_57)
| join(zero,join(zero,X_57)) = join(zero,X_57) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
join(zero,join(zero,X_57)) = join(zero,X_57),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_57)),join(join(zero,zero),X_57)) )],[refute_0_47,refute_0_127]) ).
cnf(refute_0_129,plain,
join(zero,join(zero,meet(X_97,top))) = join(zero,meet(X_97,top)),
inference(subst,[],[refute_0_128:[bind(X_57,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_130,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_131,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_51:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_132,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_133,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_136,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_137,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_0,refute_0_136]) ).
cnf(refute_0_138,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_139,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_140,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_143,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_135,refute_0_143]) ).
cnf(refute_0_145,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_146,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_134,refute_0_146]) ).
cnf(refute_0_148,plain,
X_95 = join(meet(X_95,top),complement(join(complement(X_95),top))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_95)),bind(X1,$fot(top))]]) ).
cnf(refute_0_149,plain,
join(X_55,join(complement(X_55),X_57)) = join(join(X_55,complement(X_55)),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(complement(X_55))),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_150,plain,
top = join(X_55,complement(X_55)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_55))]]) ).
cnf(refute_0_151,plain,
( top != join(X_55,complement(X_55))
| join(X_55,complement(X_55)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_55,complement(X_55))))]]) ).
cnf(refute_0_152,plain,
join(X_55,complement(X_55)) = top,
inference(resolve,[$cnf( $equal(top,join(X_55,complement(X_55))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( join(X_55,complement(X_55)) != top
| join(X_55,join(complement(X_55),X_57)) != join(join(X_55,complement(X_55)),X_57)
| join(X_55,join(complement(X_55),X_57)) = join(top,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(complement(X_55),X_57)),join(join(X_55,complement(X_55)),X_57)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_154,plain,
( join(X_55,join(complement(X_55),X_57)) != join(join(X_55,complement(X_55)),X_57)
| join(X_55,join(complement(X_55),X_57)) = join(top,X_57) ),
inference(resolve,[$cnf( $equal(join(X_55,complement(X_55)),top) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
join(X_55,join(complement(X_55),X_57)) = join(top,X_57),
inference(resolve,[$cnf( $equal(join(X_55,join(complement(X_55),X_57)),join(join(X_55,complement(X_55)),X_57)) )],[refute_0_149,refute_0_154]) ).
cnf(refute_0_156,plain,
join(X_81,join(complement(X_81),complement(complement(X_81)))) = join(top,complement(complement(X_81))),
inference(subst,[],[refute_0_155:[bind(X_55,$fot(X_81)),bind(X_57,$fot(complement(complement(X_81))))]]) ).
cnf(refute_0_157,plain,
top = join(complement(X_81),complement(complement(X_81))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(X_81)))]]) ).
cnf(refute_0_158,plain,
( top != join(complement(X_81),complement(complement(X_81)))
| join(complement(X_81),complement(complement(X_81))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_81),complement(complement(X_81)))))]]) ).
cnf(refute_0_159,plain,
join(complement(X_81),complement(complement(X_81))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_81),complement(complement(X_81)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( join(X_81,join(complement(X_81),complement(complement(X_81)))) != join(top,complement(complement(X_81)))
| join(complement(X_81),complement(complement(X_81))) != top
| join(X_81,top) = join(top,complement(complement(X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_81,join(complement(X_81),complement(complement(X_81)))),join(top,complement(complement(X_81)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_161,plain,
( join(X_81,join(complement(X_81),complement(complement(X_81)))) != join(top,complement(complement(X_81)))
| join(X_81,top) = join(top,complement(complement(X_81))) ),
inference(resolve,[$cnf( $equal(join(complement(X_81),complement(complement(X_81))),top) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
join(X_81,top) = join(top,complement(complement(X_81))),
inference(resolve,[$cnf( $equal(join(X_81,join(complement(X_81),complement(complement(X_81)))),join(top,complement(complement(X_81)))) )],[refute_0_156,refute_0_161]) ).
cnf(refute_0_163,plain,
top = join(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(join(complement(X_27),complement(X_28))))]]) ).
cnf(refute_0_164,plain,
( complement(join(complement(X_27),complement(X_28))) != meet(X_27,X_28)
| top != join(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))
| top = join(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))) ),[1,1],$fot(meet(X_27,X_28))]]) ).
cnf(refute_0_165,plain,
( top != join(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))
| top = join(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_27),complement(X_28))),meet(X_27,X_28)) )],[refute_0_10,refute_0_164]) ).
cnf(refute_0_166,plain,
top = join(join(complement(X_27),complement(X_28)),meet(X_27,X_28)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_27),complement(X_28)),complement(join(complement(X_27),complement(X_28))))) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_168,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_46,refute_0_167]) ).
cnf(refute_0_169,plain,
join(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) = join(complement(X_27),join(complement(X_28),meet(X_27,X_28))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(complement(X_27))),bind(X1,$fot(complement(X_28))),bind(X2,$fot(meet(X_27,X_28)))]]) ).
cnf(refute_0_170,plain,
( join(join(complement(X_27),complement(X_28)),meet(X_27,X_28)) != join(complement(X_27),join(complement(X_28),meet(X_27,X_28)))
| top != join(join(complement(X_27),complement(X_28)),meet(X_27,X_28))
| top = join(complement(X_27),join(complement(X_28),meet(X_27,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_27),complement(X_28)),meet(X_27,X_28))) ),[1],$fot(join(complement(X_27),join(complement(X_28),meet(X_27,X_28))))]]) ).
cnf(refute_0_171,plain,
( top != join(join(complement(X_27),complement(X_28)),meet(X_27,X_28))
| top = join(complement(X_27),join(complement(X_28),meet(X_27,X_28))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_27),complement(X_28)),meet(X_27,X_28)),join(complement(X_27),join(complement(X_28),meet(X_27,X_28)))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
top = join(complement(X_27),join(complement(X_28),meet(X_27,X_28))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_27),complement(X_28)),meet(X_27,X_28))) )],[refute_0_166,refute_0_171]) ).
cnf(refute_0_173,plain,
top = join(complement(X_35),join(complement(X_35),meet(X_35,X_35))),
inference(subst,[],[refute_0_172:[bind(X_27,$fot(X_35)),bind(X_28,$fot(X_35))]]) ).
cnf(refute_0_174,plain,
meet(X_28,X_28) = complement(join(complement(X_28),complement(X_28))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_28)),bind(X1,$fot(X_28))]]) ).
cnf(refute_0_175,plain,
join(complement(X_28),complement(X_28)) = complement(X_28),
inference(subst,[],[refute_0_111:[bind(X_24,$fot(X_28))]]) ).
cnf(refute_0_176,plain,
( join(complement(X_28),complement(X_28)) != complement(X_28)
| meet(X_28,X_28) != complement(join(complement(X_28),complement(X_28)))
| meet(X_28,X_28) = complement(complement(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_28,X_28),complement(join(complement(X_28),complement(X_28)))) ),[1,0],$fot(complement(X_28))]]) ).
cnf(refute_0_177,plain,
( meet(X_28,X_28) != complement(join(complement(X_28),complement(X_28)))
| meet(X_28,X_28) = complement(complement(X_28)) ),
inference(resolve,[$cnf( $equal(join(complement(X_28),complement(X_28)),complement(X_28)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
meet(X_28,X_28) = complement(complement(X_28)),
inference(resolve,[$cnf( $equal(meet(X_28,X_28),complement(join(complement(X_28),complement(X_28)))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
meet(X_35,X_35) = complement(complement(X_35)),
inference(subst,[],[refute_0_178:[bind(X_28,$fot(X_35))]]) ).
cnf(refute_0_180,plain,
( meet(X_35,X_35) != complement(complement(X_35))
| top != join(complement(X_35),join(complement(X_35),meet(X_35,X_35)))
| top = join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_35),join(complement(X_35),meet(X_35,X_35)))) ),[1,1,1],$fot(complement(complement(X_35)))]]) ).
cnf(refute_0_181,plain,
( top != join(complement(X_35),join(complement(X_35),meet(X_35,X_35)))
| top = join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) ),
inference(resolve,[$cnf( $equal(meet(X_35,X_35),complement(complement(X_35))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
top = join(complement(X_35),join(complement(X_35),complement(complement(X_35)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_35),join(complement(X_35),meet(X_35,X_35)))) )],[refute_0_173,refute_0_181]) ).
cnf(refute_0_183,plain,
join(complement(X_35),top) = join(top,complement(X_35)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_35)))]]) ).
cnf(refute_0_184,plain,
join(complement(X_35),complement(complement(X_35))) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(complement(X_35)))]]) ).
cnf(refute_0_185,plain,
join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(complement(X_35),join(complement(X_35),complement(complement(X_35)))),
introduced(tautology,[refl,[$fot(join(complement(X_35),join(complement(X_35),complement(complement(X_35)))))]]) ).
cnf(refute_0_186,plain,
( join(complement(X_35),complement(complement(X_35))) != top
| join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) != join(complement(X_35),join(complement(X_35),complement(complement(X_35))))
| join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(complement(X_35),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_35),join(complement(X_35),complement(complement(X_35)))),join(complement(X_35),join(complement(X_35),complement(complement(X_35))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_187,plain,
( join(complement(X_35),complement(complement(X_35))) != top
| join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(complement(X_35),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(complement(X_35),complement(complement(X_35)))),join(complement(X_35),join(complement(X_35),complement(complement(X_35))))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(complement(X_35),top),
inference(resolve,[$cnf( $equal(join(complement(X_35),complement(complement(X_35))),top) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
( join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) != join(complement(X_35),top)
| join(complement(X_35),top) != join(top,complement(X_35))
| join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(top,complement(X_35)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_35),join(complement(X_35),complement(complement(X_35)))))),bind(Y,$fot(join(complement(X_35),top))),bind(Z,$fot(join(top,complement(X_35))))]]) ).
cnf(refute_0_190,plain,
( join(complement(X_35),top) != join(top,complement(X_35))
| join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(top,complement(X_35)) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(complement(X_35),complement(complement(X_35)))),join(complement(X_35),top)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) = join(top,complement(X_35)),
inference(resolve,[$cnf( $equal(join(complement(X_35),top),join(top,complement(X_35))) )],[refute_0_183,refute_0_190]) ).
cnf(refute_0_192,plain,
( join(complement(X_35),join(complement(X_35),complement(complement(X_35)))) != join(top,complement(X_35))
| top != join(complement(X_35),join(complement(X_35),complement(complement(X_35))))
| top = join(top,complement(X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_35),join(complement(X_35),complement(complement(X_35))))) ),[1],$fot(join(top,complement(X_35)))]]) ).
cnf(refute_0_193,plain,
( top != join(complement(X_35),join(complement(X_35),complement(complement(X_35))))
| top = join(top,complement(X_35)) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(complement(X_35),complement(complement(X_35)))),join(top,complement(X_35))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
top = join(top,complement(X_35)),
inference(resolve,[$cnf( $equal(top,join(complement(X_35),join(complement(X_35),complement(complement(X_35))))) )],[refute_0_182,refute_0_193]) ).
cnf(refute_0_195,plain,
( top != join(top,complement(X_35))
| join(top,complement(X_35)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_35))))]]) ).
cnf(refute_0_196,plain,
join(top,complement(X_35)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_35))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
join(top,complement(complement(X_81))) = top,
inference(subst,[],[refute_0_196:[bind(X_35,$fot(complement(X_81)))]]) ).
cnf(refute_0_198,plain,
( join(X_81,top) != join(top,complement(complement(X_81)))
| join(top,complement(complement(X_81))) != top
| join(X_81,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_81,top),top) ),[0],$fot(join(top,complement(complement(X_81))))]]) ).
cnf(refute_0_199,plain,
( join(X_81,top) != join(top,complement(complement(X_81)))
| join(X_81,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_81))),top) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
join(X_81,top) = top,
inference(resolve,[$cnf( $equal(join(X_81,top),join(top,complement(complement(X_81)))) )],[refute_0_162,refute_0_199]) ).
cnf(refute_0_201,plain,
join(complement(X_95),top) = top,
inference(subst,[],[refute_0_200:[bind(X_81,$fot(complement(X_95)))]]) ).
cnf(refute_0_202,plain,
( X_95 != join(meet(X_95,top),complement(join(complement(X_95),top)))
| join(complement(X_95),top) != top
| X_95 = join(meet(X_95,top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,top),complement(join(complement(X_95),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_203,plain,
( X_95 != join(meet(X_95,top),complement(join(complement(X_95),top)))
| X_95 = join(meet(X_95,top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_95),top),top) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
X_95 = join(meet(X_95,top),complement(top)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,top),complement(join(complement(X_95),top)))) )],[refute_0_148,refute_0_203]) ).
cnf(refute_0_205,plain,
join(complement(top),meet(X_95,top)) = join(complement(top),meet(X_95,top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_95,top)))]]) ).
cnf(refute_0_206,plain,
( complement(top) != zero
| join(complement(top),meet(X_95,top)) != join(complement(top),meet(X_95,top))
| join(complement(top),meet(X_95,top)) = join(zero,meet(X_95,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_95,top)),join(complement(top),meet(X_95,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_207,plain,
( complement(top) != zero
| join(complement(top),meet(X_95,top)) = join(zero,meet(X_95,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_95,top)),join(complement(top),meet(X_95,top))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
join(complement(top),meet(X_95,top)) = join(zero,meet(X_95,top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_207]) ).
cnf(refute_0_209,plain,
join(meet(X_95,top),complement(top)) = join(complement(top),meet(X_95,top)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_95,top)))]]) ).
cnf(refute_0_210,plain,
( join(complement(top),meet(X_95,top)) != join(zero,meet(X_95,top))
| join(meet(X_95,top),complement(top)) != join(complement(top),meet(X_95,top))
| join(meet(X_95,top),complement(top)) = join(zero,meet(X_95,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_95,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_95,top)))),bind(Z,$fot(join(zero,meet(X_95,top))))]]) ).
cnf(refute_0_211,plain,
( join(complement(top),meet(X_95,top)) != join(zero,meet(X_95,top))
| join(meet(X_95,top),complement(top)) = join(zero,meet(X_95,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,top),complement(top)),join(complement(top),meet(X_95,top))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
join(meet(X_95,top),complement(top)) = join(zero,meet(X_95,top)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_95,top)),join(zero,meet(X_95,top))) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
( X_95 != join(meet(X_95,top),complement(top))
| join(meet(X_95,top),complement(top)) != join(zero,meet(X_95,top))
| X_95 = join(zero,meet(X_95,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(zero,meet(X_95,top))) ),[0],$fot(join(meet(X_95,top),complement(top)))]]) ).
cnf(refute_0_214,plain,
( X_95 != join(meet(X_95,top),complement(top))
| X_95 = join(zero,meet(X_95,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,top),complement(top)),join(zero,meet(X_95,top))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
X_95 = join(zero,meet(X_95,top)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,top),complement(top))) )],[refute_0_204,refute_0_214]) ).
cnf(refute_0_216,plain,
X_97 = join(zero,meet(X_97,top)),
inference(subst,[],[refute_0_215:[bind(X_95,$fot(X_97))]]) ).
cnf(refute_0_217,plain,
( X_97 != join(zero,meet(X_97,top))
| join(zero,meet(X_97,top)) = X_97 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_97)),bind(Y,$fot(join(zero,meet(X_97,top))))]]) ).
cnf(refute_0_218,plain,
join(zero,meet(X_97,top)) = X_97,
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,top))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( join(zero,join(zero,meet(X_97,top))) != join(zero,meet(X_97,top))
| join(zero,meet(X_97,top)) != X_97
| join(zero,X_97) = join(zero,meet(X_97,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_97,top))),join(zero,meet(X_97,top))) ),[0,1],$fot(X_97)]]) ).
cnf(refute_0_220,plain,
( join(zero,join(zero,meet(X_97,top))) != join(zero,meet(X_97,top))
| join(zero,X_97) = join(zero,meet(X_97,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,top)),X_97) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
join(zero,X_97) = join(zero,meet(X_97,top)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_97,top))),join(zero,meet(X_97,top))) )],[refute_0_129,refute_0_220]) ).
cnf(refute_0_222,plain,
( join(zero,X_97) != join(zero,meet(X_97,top))
| join(zero,meet(X_97,top)) != X_97
| join(zero,X_97) = X_97 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_97),X_97) ),[0],$fot(join(zero,meet(X_97,top)))]]) ).
cnf(refute_0_223,plain,
( join(zero,X_97) != join(zero,meet(X_97,top))
| join(zero,X_97) = X_97 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,top)),X_97) )],[refute_0_218,refute_0_222]) ).
cnf(refute_0_224,plain,
join(zero,X_97) = X_97,
inference(resolve,[$cnf( $equal(join(zero,X_97),join(zero,meet(X_97,top))) )],[refute_0_221,refute_0_223]) ).
cnf(refute_0_225,plain,
join(zero,complement(X_31)) = complement(X_31),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(X_31)))]]) ).
cnf(refute_0_226,plain,
meet(join(zero,complement(X_31)),X1) = meet(join(zero,complement(X_31)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_31)),X1))]]) ).
cnf(refute_0_227,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(join(zero,complement(X_31)),X1) != meet(join(zero,complement(X_31)),X1)
| meet(join(zero,complement(X_31)),X1) = meet(complement(X_31),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),meet(join(zero,complement(X_31)),X1)) ),[1,0],$fot(complement(X_31))]]) ).
cnf(refute_0_228,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(join(zero,complement(X_31)),X1) = meet(complement(X_31),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),meet(join(zero,complement(X_31)),X1)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
meet(join(zero,complement(X_31)),X1) = meet(complement(X_31),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_31)),complement(X_31)) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
( meet(join(zero,complement(X_31)),X1) != complement(join(meet(top,X_31),complement(X1)))
| meet(join(zero,complement(X_31)),X1) != meet(complement(X_31),X1)
| meet(complement(X_31),X1) = complement(join(meet(top,X_31),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),complement(join(meet(top,X_31),complement(X1)))) ),[0],$fot(meet(complement(X_31),X1))]]) ).
cnf(refute_0_231,plain,
( meet(join(zero,complement(X_31)),X1) != complement(join(meet(top,X_31),complement(X1)))
| meet(complement(X_31),X1) = complement(join(meet(top,X_31),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),meet(complement(X_31),X1)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
join(complement(X_28),complement(X_27)) = join(complement(X_27),complement(X_28)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(X_28))),bind(X1,$fot(complement(X_27)))]]) ).
cnf(refute_0_233,plain,
( join(complement(X_28),complement(X_27)) != join(complement(X_27),complement(X_28))
| join(complement(X_27),complement(X_28)) = join(complement(X_28),complement(X_27)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(X_28),complement(X_27)))),bind(Y,$fot(join(complement(X_27),complement(X_28))))]]) ).
cnf(refute_0_234,plain,
join(complement(X_27),complement(X_28)) = join(complement(X_28),complement(X_27)),
inference(resolve,[$cnf( $equal(join(complement(X_28),complement(X_27)),join(complement(X_27),complement(X_28))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
( join(complement(X_27),complement(X_28)) != join(complement(X_28),complement(X_27))
| meet(X_27,X_28) != complement(join(complement(X_27),complement(X_28)))
| meet(X_27,X_28) = complement(join(complement(X_28),complement(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_27,X_28),complement(join(complement(X_27),complement(X_28)))) ),[1,0],$fot(join(complement(X_28),complement(X_27)))]]) ).
cnf(refute_0_236,plain,
( meet(X_27,X_28) != complement(join(complement(X_27),complement(X_28)))
| meet(X_27,X_28) = complement(join(complement(X_28),complement(X_27))) ),
inference(resolve,[$cnf( $equal(join(complement(X_27),complement(X_28)),join(complement(X_28),complement(X_27))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
meet(X_27,X_28) = complement(join(complement(X_28),complement(X_27))),
inference(resolve,[$cnf( $equal(meet(X_27,X_28),complement(join(complement(X_27),complement(X_28)))) )],[refute_0_5,refute_0_236]) ).
cnf(refute_0_238,plain,
complement(join(complement(X_28),complement(X_27))) = meet(X_28,X_27),
inference(subst,[],[refute_0_137:[bind(X0,$fot(X_28)),bind(X1,$fot(X_27))]]) ).
cnf(refute_0_239,plain,
( complement(join(complement(X_28),complement(X_27))) != meet(X_28,X_27)
| meet(X_27,X_28) != complement(join(complement(X_28),complement(X_27)))
| meet(X_27,X_28) = meet(X_28,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_27,X_28),complement(join(complement(X_28),complement(X_27)))) ),[1],$fot(meet(X_28,X_27))]]) ).
cnf(refute_0_240,plain,
( meet(X_27,X_28) != complement(join(complement(X_28),complement(X_27)))
| meet(X_27,X_28) = meet(X_28,X_27) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_28),complement(X_27))),meet(X_28,X_27)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
meet(X_27,X_28) = meet(X_28,X_27),
inference(resolve,[$cnf( $equal(meet(X_27,X_28),complement(join(complement(X_28),complement(X_27)))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
meet(top,X_97) = meet(X_97,top),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(top)),bind(X_28,$fot(X_97))]]) ).
cnf(refute_0_243,plain,
( meet(top,X_97) != meet(X_97,top)
| meet(X_97,top) = meet(top,X_97) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(top,X_97))),bind(Y,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_244,plain,
meet(X_97,top) = meet(top,X_97),
inference(resolve,[$cnf( $equal(meet(top,X_97),meet(X_97,top)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( X_97 != join(zero,meet(X_97,top))
| meet(X_97,top) != meet(top,X_97)
| X_97 = join(zero,meet(top,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(zero,meet(X_97,top))) ),[1,1],$fot(meet(top,X_97))]]) ).
cnf(refute_0_246,plain,
( X_97 != join(zero,meet(X_97,top))
| X_97 = join(zero,meet(top,X_97)) ),
inference(resolve,[$cnf( $equal(meet(X_97,top),meet(top,X_97)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
X_97 = join(zero,meet(top,X_97)),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(X_97,top))) )],[refute_0_216,refute_0_246]) ).
cnf(refute_0_248,plain,
join(zero,meet(top,X_97)) = meet(top,X_97),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(top,X_97)))]]) ).
cnf(refute_0_249,plain,
( X_97 != join(zero,meet(top,X_97))
| join(zero,meet(top,X_97)) != meet(top,X_97)
| X_97 = meet(top,X_97) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,meet(top,X_97)) ),[0],$fot(join(zero,meet(top,X_97)))]]) ).
cnf(refute_0_250,plain,
( X_97 != join(zero,meet(top,X_97))
| X_97 = meet(top,X_97) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_97)),meet(top,X_97)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
X_97 = meet(top,X_97),
inference(resolve,[$cnf( $equal(X_97,join(zero,meet(top,X_97))) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( X_97 != meet(top,X_97)
| meet(top,X_97) = X_97 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_97)),bind(Y,$fot(meet(top,X_97)))]]) ).
cnf(refute_0_253,plain,
meet(top,X_97) = X_97,
inference(resolve,[$cnf( $equal(X_97,meet(top,X_97)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
meet(top,X_31) = X_31,
inference(subst,[],[refute_0_253:[bind(X_97,$fot(X_31))]]) ).
cnf(refute_0_255,plain,
join(meet(top,X_31),complement(X1)) = join(meet(top,X_31),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_31),complement(X1)))]]) ).
cnf(refute_0_256,plain,
( join(meet(top,X_31),complement(X1)) != join(meet(top,X_31),complement(X1))
| meet(top,X_31) != X_31
| join(meet(top,X_31),complement(X1)) = join(X_31,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_31),complement(X1)),join(meet(top,X_31),complement(X1))) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_257,plain,
( meet(top,X_31) != X_31
| join(meet(top,X_31),complement(X1)) = join(X_31,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_31),complement(X1)),join(meet(top,X_31),complement(X1))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
join(meet(top,X_31),complement(X1)) = join(X_31,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_31),X_31) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
complement(join(meet(top,X_31),complement(X1))) = complement(join(meet(top,X_31),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_31),complement(X1))))]]) ).
cnf(refute_0_260,plain,
( complement(join(meet(top,X_31),complement(X1))) != complement(join(meet(top,X_31),complement(X1)))
| join(meet(top,X_31),complement(X1)) != join(X_31,complement(X1))
| complement(join(meet(top,X_31),complement(X1))) = complement(join(X_31,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_31),complement(X1))),complement(join(meet(top,X_31),complement(X1)))) ),[1,0],$fot(join(X_31,complement(X1)))]]) ).
cnf(refute_0_261,plain,
( join(meet(top,X_31),complement(X1)) != join(X_31,complement(X1))
| complement(join(meet(top,X_31),complement(X1))) = complement(join(X_31,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_31),complement(X1))),complement(join(meet(top,X_31),complement(X1)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
complement(join(meet(top,X_31),complement(X1))) = complement(join(X_31,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_31),complement(X1)),join(X_31,complement(X1))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
( complement(join(meet(top,X_31),complement(X1))) != complement(join(X_31,complement(X1)))
| meet(complement(X_31),X1) != complement(join(meet(top,X_31),complement(X1)))
| meet(complement(X_31),X1) = complement(join(X_31,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),X1),complement(join(meet(top,X_31),complement(X1)))) ),[1],$fot(complement(join(X_31,complement(X1))))]]) ).
cnf(refute_0_264,plain,
( meet(complement(X_31),X1) != complement(join(meet(top,X_31),complement(X1)))
| meet(complement(X_31),X1) = complement(join(X_31,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_31),complement(X1))),complement(join(X_31,complement(X1)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( meet(join(zero,complement(X_31)),X1) != complement(join(meet(top,X_31),complement(X1)))
| meet(complement(X_31),X1) = complement(join(X_31,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_31),X1),complement(join(meet(top,X_31),complement(X1)))) )],[refute_0_231,refute_0_264]) ).
cnf(refute_0_266,plain,
meet(complement(X_31),X1) = complement(join(X_31,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_31)),X1),complement(join(meet(top,X_31),complement(X1)))) )],[refute_0_45,refute_0_265]) ).
cnf(refute_0_267,plain,
meet(complement(X_679),converse(composition(top,complement(converse(X_679))))) = complement(join(X_679,complement(converse(composition(top,complement(converse(X_679))))))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(converse(composition(top,complement(converse(X_679)))))),bind(X_31,$fot(X_679))]]) ).
cnf(refute_0_268,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_269,plain,
converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_270,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_271,plain,
( converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_270]) ).
cnf(refute_0_272,plain,
converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_269,refute_0_271]) ).
cnf(refute_0_273,plain,
converse(join(converse(X0),complement(composition(top,complement(converse(X0)))))) = join(X0,converse(complement(composition(top,complement(converse(X0)))))),
inference(subst,[],[refute_0_272:[bind(X_5,$fot(complement(composition(top,complement(converse(X0))))))]]) ).
cnf(refute_0_274,plain,
join(complement(X_24),composition(converse(converse(X0)),complement(composition(converse(X0),X_24)))) = complement(X_24),
inference(subst,[],[refute_0_55:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_275,plain,
( converse(converse(X0)) != X0
| join(complement(X_24),composition(converse(converse(X0)),complement(composition(converse(X0),X_24)))) != complement(X_24)
| join(complement(X_24),composition(X0,complement(composition(converse(X0),X_24)))) = complement(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(converse(converse(X0)),complement(composition(converse(X0),X_24)))),complement(X_24)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_276,plain,
( join(complement(X_24),composition(converse(converse(X0)),complement(composition(converse(X0),X_24)))) != complement(X_24)
| join(complement(X_24),composition(X0,complement(composition(converse(X0),X_24)))) = complement(X_24) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_275]) ).
cnf(refute_0_277,plain,
join(complement(X_24),composition(X0,complement(composition(converse(X0),X_24)))) = complement(X_24),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(converse(converse(X0)),complement(composition(converse(X0),X_24)))),complement(X_24)) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
join(complement(complement(X1)),composition(X_239,complement(composition(converse(X_239),complement(X1))))) = complement(complement(X1)),
inference(subst,[],[refute_0_277:[bind(X0,$fot(X_239)),bind(X_24,$fot(complement(X1)))]]) ).
cnf(refute_0_279,plain,
meet(top,X1) = X1,
inference(subst,[],[refute_0_253:[bind(X_97,$fot(X1))]]) ).
cnf(refute_0_280,plain,
( meet(top,X1) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[0],$fot(X1)]]) ).
cnf(refute_0_281,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(X1)))]]) ).
cnf(refute_0_283,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_284,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_285,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
( X1 != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) != complement(complement(X1))
| X1 = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,complement(complement(X1))) ),[0],$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_288,plain,
( X1 != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(X1,complement(join(zero,complement(X1)))) )],[refute_0_281,refute_0_288]) ).
cnf(refute_0_290,plain,
X1 = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_39,refute_0_289]) ).
cnf(refute_0_291,plain,
( X1 != complement(complement(X1))
| complement(complement(X1)) = X1 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X1)),bind(Y,$fot(complement(complement(X1))))]]) ).
cnf(refute_0_292,plain,
complement(complement(X1)) = X1,
inference(resolve,[$cnf( $equal(X1,complement(complement(X1))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),composition(X_239,complement(composition(converse(X_239),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),composition(X_239,complement(composition(converse(X_239),complement(X1))))),complement(complement(X1))) ),[0,0],$fot(X1)]]) ).
cnf(refute_0_294,plain,
( join(complement(complement(X1)),composition(X_239,complement(composition(converse(X_239),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),composition(X_239,complement(composition(converse(X_239),complement(X1))))),complement(complement(X1))) )],[refute_0_278,refute_0_294]) ).
cnf(refute_0_296,plain,
( complement(complement(X1)) != X1
| join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_297,plain,
( join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_296]) ).
cnf(refute_0_298,plain,
join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))) = X1,
inference(resolve,[$cnf( $equal(join(X1,composition(X_239,complement(composition(converse(X_239),complement(X1))))),complement(complement(X1))) )],[refute_0_295,refute_0_297]) ).
cnf(refute_0_299,plain,
join(X_473,composition(top,complement(composition(converse(top),complement(X_473))))) = X_473,
inference(subst,[],[refute_0_298:[bind(X1,$fot(X_473)),bind(X_239,$fot(top))]]) ).
cnf(refute_0_300,plain,
join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_301,plain,
join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))),bind(X1,$fot(converse(complement(one))))]]) ).
cnf(refute_0_302,plain,
join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_303,plain,
join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_0_304,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).
cnf(refute_0_305,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_268,refute_0_305]) ).
cnf(refute_0_307,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_308,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_268,refute_0_307]) ).
cnf(refute_0_309,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_310,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_0_311,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_306,refute_0_311]) ).
cnf(refute_0_313,plain,
converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_314,plain,
converse(join(converse(X_6),complement(converse(X_6)))) = join(X_6,converse(complement(converse(X_6)))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(X_6)),bind(X_5,$fot(complement(converse(X_6))))]]) ).
cnf(refute_0_315,plain,
top = join(converse(X_6),complement(converse(X_6))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(X_6)))]]) ).
cnf(refute_0_316,plain,
( top != join(converse(X_6),complement(converse(X_6)))
| join(converse(X_6),complement(converse(X_6))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_6),complement(converse(X_6)))))]]) ).
cnf(refute_0_317,plain,
join(converse(X_6),complement(converse(X_6))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_6),complement(converse(X_6)))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( converse(join(converse(X_6),complement(converse(X_6)))) != join(X_6,converse(complement(converse(X_6))))
| join(converse(X_6),complement(converse(X_6))) != top
| converse(top) = join(X_6,converse(complement(converse(X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_6),complement(converse(X_6)))),join(X_6,converse(complement(converse(X_6))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_319,plain,
( converse(join(converse(X_6),complement(converse(X_6)))) != join(X_6,converse(complement(converse(X_6))))
| converse(top) = join(X_6,converse(complement(converse(X_6)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),complement(converse(X_6))),top) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
converse(top) = join(X_6,converse(complement(converse(X_6)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_6),complement(converse(X_6)))),join(X_6,converse(complement(converse(X_6))))) )],[refute_0_314,refute_0_319]) ).
cnf(refute_0_321,plain,
converse(top) = join(join(X_19,X_20),converse(complement(converse(join(X_19,X_20))))),
inference(subst,[],[refute_0_320:[bind(X_6,$fot(join(X_19,X_20)))]]) ).
cnf(refute_0_322,plain,
converse(join(X_19,X_20)) = converse(join(X_20,X_19)),
inference(subst,[],[refute_0_312:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_323,plain,
( converse(join(X_19,X_20)) != converse(join(X_20,X_19))
| converse(top) != join(join(X_19,X_20),converse(complement(converse(join(X_19,X_20)))))
| converse(top) = join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_19,X_20),converse(complement(converse(join(X_19,X_20)))))) ),[1,1,0,0],$fot(converse(join(X_20,X_19)))]]) ).
cnf(refute_0_324,plain,
( converse(top) != join(join(X_19,X_20),converse(complement(converse(join(X_19,X_20)))))
| converse(top) = join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),converse(join(X_20,X_19))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
converse(top) = join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_19,X_20),converse(complement(converse(join(X_19,X_20)))))) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))) = join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19)))))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20)),bind(X2,$fot(converse(complement(converse(join(X_20,X_19))))))]]) ).
cnf(refute_0_327,plain,
( converse(top) != join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19)))))
| join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))) != join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19))))))
| converse(top) = join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19))))))) ),[0],$fot(join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))))]]) ).
cnf(refute_0_328,plain,
( converse(top) != join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19)))))
| converse(top) = join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19))))),join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19))))))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
converse(top) = join(X_19,join(X_20,converse(complement(converse(join(X_20,X_19)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_19,X_20),converse(complement(converse(join(X_20,X_19)))))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
converse(top) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(X_20,$fot(one))]]) ).
cnf(refute_0_331,plain,
converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_332,plain,
converse(top) = join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(join(one,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(one))]]) ).
cnf(refute_0_333,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_334,plain,
join(skolemFOFtoCNF_X0,one) = join(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_51:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_335,plain,
( join(skolemFOFtoCNF_X0,one) != join(one,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) ),[0],$fot(join(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_336,plain,
( join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),join(one,skolemFOFtoCNF_X0)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
join(one,skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( converse(top) != join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(join(one,skolemFOFtoCNF_X0))))))
| join(one,skolemFOFtoCNF_X0) != one
| converse(top) = join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(join(one,skolemFOFtoCNF_X0))))))) ),[1,1,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_339,plain,
( converse(top) != join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(join(one,skolemFOFtoCNF_X0))))))
| converse(top) = join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
converse(top) = join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))),
inference(resolve,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(join(one,skolemFOFtoCNF_X0))))))) )],[refute_0_332,refute_0_339]) ).
cnf(refute_0_341,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_342,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_343,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_343]) ).
cnf(refute_0_345,plain,
converse(complement(converse(one))) = converse(complement(converse(one))),
introduced(tautology,[refl,[$fot(converse(complement(converse(one))))]]) ).
cnf(refute_0_346,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) != converse(complement(converse(one)))
| converse(complement(converse(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_347,plain,
( complement(converse(one)) != complement(one)
| converse(complement(converse(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(converse(one)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
converse(complement(converse(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) = join(skolemFOFtoCNF_X0,converse(complement(converse(one)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(complement(converse(one)))))]]) ).
cnf(refute_0_350,plain,
( converse(complement(converse(one))) != converse(complement(one))
| join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) != join(skolemFOFtoCNF_X0,converse(complement(converse(one))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) = join(skolemFOFtoCNF_X0,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_351,plain,
( converse(complement(converse(one))) != converse(complement(one))
| join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) = join(skolemFOFtoCNF_X0,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) = join(skolemFOFtoCNF_X0,converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(complement(converse(one))),converse(complement(one))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))),
introduced(tautology,[refl,[$fot(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))))]]) ).
cnf(refute_0_354,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) != join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one)))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) != join(skolemFOFtoCNF_X0,converse(complement(one)))
| join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))),join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one)))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))]]) ).
cnf(refute_0_355,plain,
( join(skolemFOFtoCNF_X0,converse(complement(converse(one)))) != join(skolemFOFtoCNF_X0,converse(complement(one)))
| join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))),join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one)))))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(one)))),join(skolemFOFtoCNF_X0,converse(complement(one)))) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
converse(join(converse(join(X_19,X_20)),X_5)) = join(join(X_19,X_20),converse(X_5)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(join(X_19,X_20)))]]) ).
cnf(refute_0_358,plain,
( converse(join(X_19,X_20)) != converse(join(X_20,X_19))
| converse(join(converse(join(X_19,X_20)),X_5)) != join(join(X_19,X_20),converse(X_5))
| converse(join(converse(join(X_20,X_19)),X_5)) = join(join(X_19,X_20),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_19,X_20)),X_5)),join(join(X_19,X_20),converse(X_5))) ),[0,0,0],$fot(converse(join(X_20,X_19)))]]) ).
cnf(refute_0_359,plain,
( converse(join(converse(join(X_19,X_20)),X_5)) != join(join(X_19,X_20),converse(X_5))
| converse(join(converse(join(X_20,X_19)),X_5)) = join(join(X_19,X_20),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),converse(join(X_20,X_19))) )],[refute_0_322,refute_0_358]) ).
cnf(refute_0_360,plain,
converse(join(converse(join(X_20,X_19)),X_5)) = join(join(X_19,X_20),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_19,X_20)),X_5)),join(join(X_19,X_20),converse(X_5))) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
join(join(X_20,X_19),converse(X_5)) = join(X_20,join(X_19,converse(X_5))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_20)),bind(X1,$fot(X_19)),bind(X2,$fot(converse(X_5)))]]) ).
cnf(refute_0_362,plain,
converse(join(converse(join(X_20,X_19)),X_5)) = join(join(X_20,X_19),converse(X_5)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(join(X_20,X_19)))]]) ).
cnf(refute_0_363,plain,
( converse(join(converse(join(X_20,X_19)),X_5)) != join(join(X_20,X_19),converse(X_5))
| join(join(X_20,X_19),converse(X_5)) != join(X_20,join(X_19,converse(X_5)))
| converse(join(converse(join(X_20,X_19)),X_5)) = join(X_20,join(X_19,converse(X_5))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(join(X_20,X_19)),X_5)))),bind(Y,$fot(join(join(X_20,X_19),converse(X_5)))),bind(Z,$fot(join(X_20,join(X_19,converse(X_5)))))]]) ).
cnf(refute_0_364,plain,
( join(join(X_20,X_19),converse(X_5)) != join(X_20,join(X_19,converse(X_5)))
| converse(join(converse(join(X_20,X_19)),X_5)) = join(X_20,join(X_19,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_20,X_19)),X_5)),join(join(X_20,X_19),converse(X_5))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
converse(join(converse(join(X_20,X_19)),X_5)) = join(X_20,join(X_19,converse(X_5))),
inference(resolve,[$cnf( $equal(join(join(X_20,X_19),converse(X_5)),join(X_20,join(X_19,converse(X_5)))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( converse(join(converse(join(X_20,X_19)),X_5)) != join(X_20,join(X_19,converse(X_5)))
| converse(join(converse(join(X_20,X_19)),X_5)) != join(join(X_19,X_20),converse(X_5))
| join(X_20,join(X_19,converse(X_5))) = join(join(X_19,X_20),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_20,X_19)),X_5)),join(join(X_19,X_20),converse(X_5))) ),[0],$fot(join(X_20,join(X_19,converse(X_5))))]]) ).
cnf(refute_0_367,plain,
( converse(join(converse(join(X_20,X_19)),X_5)) != join(join(X_19,X_20),converse(X_5))
| join(X_20,join(X_19,converse(X_5))) = join(join(X_19,X_20),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_20,X_19)),X_5)),join(X_20,join(X_19,converse(X_5)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
join(join(X_19,X_20),converse(X_5)) = join(X_19,join(X_20,converse(X_5))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20)),bind(X2,$fot(converse(X_5)))]]) ).
cnf(refute_0_369,plain,
( join(X_20,join(X_19,converse(X_5))) != join(join(X_19,X_20),converse(X_5))
| join(join(X_19,X_20),converse(X_5)) != join(X_19,join(X_20,converse(X_5)))
| join(X_20,join(X_19,converse(X_5))) = join(X_19,join(X_20,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_20,join(X_19,converse(X_5))),join(X_19,join(X_20,converse(X_5)))) ),[0],$fot(join(join(X_19,X_20),converse(X_5)))]]) ).
cnf(refute_0_370,plain,
( join(X_20,join(X_19,converse(X_5))) != join(join(X_19,X_20),converse(X_5))
| join(X_20,join(X_19,converse(X_5))) = join(X_19,join(X_20,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(join(X_19,X_20),converse(X_5)),join(X_19,join(X_20,converse(X_5)))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
( converse(join(converse(join(X_20,X_19)),X_5)) != join(join(X_19,X_20),converse(X_5))
| join(X_20,join(X_19,converse(X_5))) = join(X_19,join(X_20,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(X_20,join(X_19,converse(X_5))),join(join(X_19,X_20),converse(X_5))) )],[refute_0_367,refute_0_370]) ).
cnf(refute_0_372,plain,
join(X_20,join(X_19,converse(X_5))) = join(X_19,join(X_20,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_20,X_19)),X_5)),join(join(X_19,X_20),converse(X_5))) )],[refute_0_360,refute_0_371]) ).
cnf(refute_0_373,plain,
( join(X_20,join(X_19,converse(X_5))) != join(X_19,join(X_20,converse(X_5)))
| join(X_19,join(X_20,converse(X_5))) = join(X_20,join(X_19,converse(X_5))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_20,join(X_19,converse(X_5))))),bind(Y,$fot(join(X_19,join(X_20,converse(X_5)))))]]) ).
cnf(refute_0_374,plain,
join(X_19,join(X_20,converse(X_5))) = join(X_20,join(X_19,converse(X_5))),
inference(resolve,[$cnf( $equal(join(X_20,join(X_19,converse(X_5))),join(X_19,join(X_20,converse(X_5)))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(one)),bind(X_5,$fot(complement(converse(one))))]]) ).
cnf(refute_0_376,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) != join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))
| join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) != join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one)))))
| join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))))),bind(Z,$fot(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))))]]) ).
cnf(refute_0_377,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))) != join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))
| join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))),join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one)))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(one))))),join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) )],[refute_0_356,refute_0_377]) ).
cnf(refute_0_379,plain,
( converse(top) != join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one)))))
| join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))) != join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))
| converse(top) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))))]]) ).
cnf(refute_0_380,plain,
( converse(top) != join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one)))))
| converse(top) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one))))),join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
converse(top) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,join(one,converse(complement(converse(one)))))) )],[refute_0_340,refute_0_380]) ).
cnf(refute_0_382,plain,
( converse(top) != join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))
| join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))))]]) ).
cnf(refute_0_383,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))
| join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) != converse(top)
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_385,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),converse(top)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))) )],[refute_0_331,refute_0_385]) ).
cnf(refute_0_387,plain,
join(converse(skolemFOFtoCNF_X0),complement(one)) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_388,plain,
join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) = join(one,join(converse(skolemFOFtoCNF_X0),complement(one))),
introduced(tautology,[refl,[$fot(join(one,join(converse(skolemFOFtoCNF_X0),complement(one))))]]) ).
cnf(refute_0_389,plain,
( join(converse(skolemFOFtoCNF_X0),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) != join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) = join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(one))),join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))) ),[1,1],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_390,plain,
( join(converse(skolemFOFtoCNF_X0),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) = join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(one))),join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) = join(one,join(complement(one),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(one)),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_387,refute_0_390]) ).
cnf(refute_0_392,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(one))]]) ).
cnf(refute_0_393,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(one) != one
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_394,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_393]) ).
cnf(refute_0_395,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_392,refute_0_394]) ).
cnf(refute_0_396,plain,
converse(join(one,join(X_4,converse(X0)))) = join(one,converse(join(X_4,converse(X0)))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(join(X_4,converse(X0))))]]) ).
cnf(refute_0_397,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
inference(subst,[],[refute_0_268:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_398,plain,
( converse(converse(X0)) != X0
| converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_399,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_398]) ).
cnf(refute_0_400,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
| converse(join(one,join(X_4,converse(X0)))) != join(one,converse(join(X_4,converse(X0))))
| converse(join(one,join(X_4,converse(X0)))) = join(one,join(converse(X_4),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_4,converse(X0)))),join(one,converse(join(X_4,converse(X0))))) ),[1,1],$fot(join(converse(X_4),X0))]]) ).
cnf(refute_0_402,plain,
( converse(join(one,join(X_4,converse(X0)))) != join(one,converse(join(X_4,converse(X0))))
| converse(join(one,join(X_4,converse(X0)))) = join(one,join(converse(X_4),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
converse(join(one,join(X_4,converse(X0)))) = join(one,join(converse(X_4),X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_4,converse(X0)))),join(one,converse(join(X_4,converse(X0))))) )],[refute_0_396,refute_0_402]) ).
cnf(refute_0_404,plain,
converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) = join(one,join(converse(skolemFOFtoCNF_X0),complement(one))),
inference(subst,[],[refute_0_403:[bind(X0,$fot(complement(one))),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_405,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) != join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)))),bind(Y,$fot(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))))),bind(Z,$fot(join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_406,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) != join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))) )],[refute_0_331,refute_0_405]) ).
cnf(refute_0_407,plain,
converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = join(one,join(converse(skolemFOFtoCNF_X0),complement(one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))),join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_404,refute_0_406]) ).
cnf(refute_0_408,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) != join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)))),bind(Y,$fot(join(one,join(converse(skolemFOFtoCNF_X0),complement(one))))),bind(Z,$fot(join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_409,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),complement(one))) != join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),join(one,join(converse(skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) = join(one,join(complement(one),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(one))),join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_391,refute_0_409]) ).
cnf(refute_0_411,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != converse(converse(top))
| converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),converse(converse(top))) ),[0],$fot(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_412,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != converse(converse(top))
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),join(one,join(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_59:[bind(X0,$fot(top))]]) ).
cnf(refute_0_414,plain,
( converse(converse(top)) != top
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != converse(converse(top))
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_415,plain,
( join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != converse(converse(top))
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)) != converse(converse(top))
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))),converse(converse(top))) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one)),converse(converse(top))) )],[refute_0_386,refute_0_416]) ).
cnf(refute_0_418,plain,
( converse(top) != join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))))))))
| join(one,join(complement(one),converse(skolemFOFtoCNF_X0))) != top
| converse(top) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_419,plain,
( converse(top) != join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))))))))
| converse(top) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))),top) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
converse(top) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(join(one,join(complement(one),converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_330,refute_0_419]) ).
cnf(refute_0_421,plain,
join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))) = converse(join(skolemFOFtoCNF_X0,complement(converse(top)))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(converse(top))))]]) ).
cnf(refute_0_422,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))))]]) ).
cnf(refute_0_423,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))
| join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))) != converse(join(skolemFOFtoCNF_X0,complement(converse(top))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))]]) ).
cnf(refute_0_424,plain,
( join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))) != converse(join(skolemFOFtoCNF_X0,complement(converse(top))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_427,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) != join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) = join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))))),bind(Z,$fot(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))]]) ).
cnf(refute_0_428,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) != join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) = join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) = join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) = join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))))]]) ).
cnf(refute_0_431,plain,
( join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) != join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) != join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))))
| join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))),join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))))) ),[1,1],$fot(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))]]) ).
cnf(refute_0_432,plain,
( join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))) != join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))),join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))),join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) = join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(X_20,$fot(one)),bind(X_5,$fot(complement(converse(top))))]]) ).
cnf(refute_0_435,plain,
( join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) != join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))))
| join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) != join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))))),bind(Y,$fot(join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))))),bind(Z,$fot(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))))]]) ).
cnf(refute_0_436,plain,
( join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))) != join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))),join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top)))))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(one,join(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(complement(converse(top))))),join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
( converse(top) != join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top)))))
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))) != join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))
| converse(top) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) ),[0],$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))))]]) ).
cnf(refute_0_439,plain,
( converse(top) != join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top)))))
| converse(top) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top))))),join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
converse(top) = join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(complement(one),converse(skolemFOFtoCNF_X0)),join(one,converse(complement(converse(top)))))) )],[refute_0_420,refute_0_439]) ).
cnf(refute_0_441,plain,
( converse(top) != join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))
| join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))))]]) ).
cnf(refute_0_442,plain,
join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))
| join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) != converse(top)
| converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)),converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_444,plain,
( converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))
| converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))),converse(top)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)),converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))) )],[refute_0_313,refute_0_444]) ).
cnf(refute_0_446,plain,
converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) = join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(subst,[],[refute_0_403:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(converse(top))))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_447,plain,
( converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))
| converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) != join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))
| converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)))),bind(Y,$fot(converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))))),bind(Z,$fot(join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))))]]) ).
cnf(refute_0_448,plain,
( converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))) != join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))
| converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)),converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))) )],[refute_0_313,refute_0_447]) ).
cnf(refute_0_449,plain,
converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) = join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))),join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_446,refute_0_448]) ).
cnf(refute_0_450,plain,
( converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != converse(converse(top))
| converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)),converse(converse(top))) ),[0],$fot(join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))))]]) ).
cnf(refute_0_451,plain,
( converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != converse(converse(top))
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)),join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
( converse(converse(top)) != top
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(converse(top))
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_453,plain,
( join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(converse(top))
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_413,refute_0_452]) ).
cnf(refute_0_454,plain,
( converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)) != converse(converse(top))
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(converse(top))) )],[refute_0_451,refute_0_453]) ).
cnf(refute_0_455,plain,
join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),one)),converse(converse(top))) )],[refute_0_445,refute_0_454]) ).
cnf(refute_0_456,plain,
( join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) != join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))) != top
| join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one),top) ),[0],$fot(join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))))]]) ).
cnf(refute_0_457,plain,
( join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) != join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = top ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top))))),top) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = top,
inference(resolve,[$cnf( $equal(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one),join(one,join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_302,refute_0_457]) ).
cnf(refute_0_459,plain,
converse(join(X_22,converse(join(X1,X0)))) = join(converse(X_22),join(X1,X0)),
inference(subst,[],[refute_0_400:[bind(X0,$fot(join(X1,X0))),bind(X_4,$fot(X_22))]]) ).
cnf(refute_0_460,plain,
( converse(join(X0,X1)) != converse(join(X1,X0))
| converse(join(X1,X0)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).
cnf(refute_0_461,plain,
converse(join(X1,X0)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_0_312,refute_0_460]) ).
cnf(refute_0_462,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| converse(join(X_22,converse(join(X1,X0)))) != join(converse(X_22),join(X1,X0))
| converse(join(X_22,converse(join(X0,X1)))) = join(converse(X_22),join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_22,converse(join(X1,X0)))),join(converse(X_22),join(X1,X0))) ),[0,0,1],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_463,plain,
( converse(join(X_22,converse(join(X1,X0)))) != join(converse(X_22),join(X1,X0))
| converse(join(X_22,converse(join(X0,X1)))) = join(converse(X_22),join(X1,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
converse(join(X_22,converse(join(X0,X1)))) = join(converse(X_22),join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X_22,converse(join(X1,X0)))),join(converse(X_22),join(X1,X0))) )],[refute_0_459,refute_0_463]) ).
cnf(refute_0_465,plain,
converse(join(X_22,converse(join(X0,X1)))) = join(converse(X_22),join(X0,X1)),
inference(subst,[],[refute_0_400:[bind(X0,$fot(join(X0,X1))),bind(X_4,$fot(X_22))]]) ).
cnf(refute_0_466,plain,
( converse(join(X_22,converse(join(X0,X1)))) != join(converse(X_22),join(X0,X1))
| converse(join(X_22,converse(join(X0,X1)))) != join(converse(X_22),join(X1,X0))
| join(converse(X_22),join(X0,X1)) = join(converse(X_22),join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_22,converse(join(X0,X1)))),join(converse(X_22),join(X1,X0))) ),[0],$fot(join(converse(X_22),join(X0,X1)))]]) ).
cnf(refute_0_467,plain,
( converse(join(X_22,converse(join(X0,X1)))) != join(converse(X_22),join(X1,X0))
| join(converse(X_22),join(X0,X1)) = join(converse(X_22),join(X1,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_22,converse(join(X0,X1)))),join(converse(X_22),join(X0,X1))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
join(converse(X_22),join(X0,X1)) = join(converse(X_22),join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X_22,converse(join(X0,X1)))),join(converse(X_22),join(X1,X0))) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
( join(converse(X_22),join(X0,X1)) != join(converse(X_22),join(X1,X0))
| join(converse(X_22),join(X1,X0)) = join(converse(X_22),join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(X_22),join(X0,X1)))),bind(Y,$fot(join(converse(X_22),join(X1,X0))))]]) ).
cnf(refute_0_470,plain,
join(converse(X_22),join(X1,X0)) = join(converse(X_22),join(X0,X1)),
inference(resolve,[$cnf( $equal(join(converse(X_22),join(X0,X1)),join(converse(X_22),join(X1,X0))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one)) = join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(subst,[],[refute_0_470:[bind(X0,$fot(one)),bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(converse(top))))),bind(X_22,$fot(complement(one)))]]) ).
cnf(refute_0_472,plain,
join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(converse(top))))),bind(X2,$fot(one))]]) ).
cnf(refute_0_473,plain,
( join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one)) != join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) != join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one))
| join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one))),bind(Y,$fot(join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one)))),bind(Z,$fot(join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))))]]) ).
cnf(refute_0_474,plain,
( join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one)) != join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one),join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) = join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(join(skolemFOFtoCNF_X0,complement(converse(top))),one)),join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) != join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) != top
| join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one),top) ),[0],$fot(join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))))]]) ).
cnf(refute_0_477,plain,
( join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one) != top
| join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))) = top ),
inference(resolve,[$cnf( $equal(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one),join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))) = top,
inference(resolve,[$cnf( $equal(join(join(converse(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(top)))),one),top) )],[refute_0_458,refute_0_477]) ).
cnf(refute_0_479,plain,
( join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))) != top
| join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) != join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))),join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),[1],$fot(top)]]) ).
cnf(refute_0_480,plain,
( join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) != join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top))))),top) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = top,
inference(resolve,[$cnf( $equal(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))),join(converse(complement(one)),join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_301,refute_0_480]) ).
cnf(refute_0_482,plain,
join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))) = join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(converse(top)))),bind(X2,$fot(converse(complement(one))))]]) ).
cnf(refute_0_483,plain,
join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) = join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))))]]) ).
cnf(refute_0_484,plain,
( join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))) != join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))
| join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) != join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))))
| join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))),join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))]]) ).
cnf(refute_0_485,plain,
( join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))) != join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))
| join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))),join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))),join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(one)),bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(converse(top))))),bind(X2,$fot(converse(complement(one))))]]) ).
cnf(refute_0_488,plain,
( join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) != join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))))
| join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) != join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))
| join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))))),bind(Y,$fot(join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))))),bind(Z,$fot(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))))]]) ).
cnf(refute_0_489,plain,
( join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))) != join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))
| join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))),join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one))))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) = join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,complement(converse(top))),converse(complement(one)))),join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
( join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) != join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))
| join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) != top
| join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))),top) ),[0],$fot(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))))]]) ).
cnf(refute_0_492,plain,
( join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))) != top
| join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) = top ),
inference(resolve,[$cnf( $equal(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))),join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) = top,
inference(resolve,[$cnf( $equal(join(join(one,join(skolemFOFtoCNF_X0,complement(converse(top)))),converse(complement(one))),top) )],[refute_0_481,refute_0_492]) ).
cnf(refute_0_494,plain,
( join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) != join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))
| join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))) != top
| join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one),top) ),[0],$fot(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))))]]) ).
cnf(refute_0_495,plain,
( join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) != join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))
| join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = top ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one))))),top) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = top,
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one),join(one,join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))))) )],[refute_0_300,refute_0_495]) ).
cnf(refute_0_497,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_498,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) != join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))
| join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) != converse(top)
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one),converse(top)) ),[0],$fot(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))]]) ).
cnf(refute_0_499,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) != join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = converse(top) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),converse(top)) )],[refute_0_383,refute_0_498]) ).
cnf(refute_0_500,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = converse(top),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one),join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
join(one,complement(one)) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(one))]]) ).
cnf(refute_0_502,plain,
converse(join(one,complement(one))) = converse(join(one,complement(one))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(one))))]]) ).
cnf(refute_0_503,plain,
( converse(join(one,complement(one))) != converse(join(one,complement(one)))
| join(one,complement(one)) != top
| converse(join(one,complement(one))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(one))),converse(join(one,complement(one)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_504,plain,
( join(one,complement(one)) != top
| converse(join(one,complement(one))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(one))),converse(join(one,complement(one)))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
converse(join(one,complement(one))) = converse(top),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_507,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_395,refute_0_506]) ).
cnf(refute_0_508,plain,
join(one,converse(complement(one))) = converse(join(one,complement(one))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(complement(one)))]]) ).
cnf(refute_0_509,plain,
join(converse(complement(one)),one) = join(one,converse(complement(one))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(one)),bind(X1,$fot(converse(complement(one))))]]) ).
cnf(refute_0_510,plain,
( join(converse(complement(one)),one) != join(one,converse(complement(one)))
| join(one,converse(complement(one))) != converse(join(one,complement(one)))
| join(converse(complement(one)),one) = converse(join(one,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),one))),bind(Y,$fot(join(one,converse(complement(one))))),bind(Z,$fot(converse(join(one,complement(one)))))]]) ).
cnf(refute_0_511,plain,
( join(one,converse(complement(one))) != converse(join(one,complement(one)))
| join(converse(complement(one)),one) = converse(join(one,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),one),join(one,converse(complement(one)))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
join(converse(complement(one)),one) = converse(join(one,complement(one))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(one))),converse(join(one,complement(one)))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( converse(join(one,complement(one))) != converse(top)
| join(converse(complement(one)),one) != converse(join(one,complement(one)))
| join(converse(complement(one)),one) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),one))),bind(Y,$fot(converse(join(one,complement(one))))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_514,plain,
( converse(join(one,complement(one))) != converse(top)
| join(converse(complement(one)),one) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),one),converse(join(one,complement(one)))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
join(converse(complement(one)),one) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(one,complement(one))),converse(top)) )],[refute_0_505,refute_0_514]) ).
cnf(refute_0_516,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) = join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)))]]) ).
cnf(refute_0_517,plain,
( join(converse(complement(one)),one) != converse(top)
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) != join(skolemFOFtoCNF_X0,join(converse(complement(one)),one))
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) = join(skolemFOFtoCNF_X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)),join(skolemFOFtoCNF_X0,join(converse(complement(one)),one))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_518,plain,
( join(converse(complement(one)),one) != converse(top)
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) = join(skolemFOFtoCNF_X0,converse(top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)),join(skolemFOFtoCNF_X0,join(converse(complement(one)),one))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) = join(skolemFOFtoCNF_X0,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),one),converse(top)) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(complement(one)))),bind(X2,$fot(one))]]) ).
cnf(refute_0_521,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) != join(skolemFOFtoCNF_X0,join(converse(complement(one)),one))
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) != join(skolemFOFtoCNF_X0,converse(top))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = join(skolemFOFtoCNF_X0,converse(top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(top))))]]) ).
cnf(refute_0_522,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)) != join(skolemFOFtoCNF_X0,converse(top))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = join(skolemFOFtoCNF_X0,converse(top)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one),join(skolemFOFtoCNF_X0,join(converse(complement(one)),one))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) = join(skolemFOFtoCNF_X0,converse(top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(one)),one)),join(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) != converse(top)
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) != join(skolemFOFtoCNF_X0,converse(top))
| join(skolemFOFtoCNF_X0,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one),converse(top)) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(top)))]]) ).
cnf(refute_0_525,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),one) != converse(top)
| join(skolemFOFtoCNF_X0,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one),join(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
join(skolemFOFtoCNF_X0,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),one),converse(top)) )],[refute_0_500,refute_0_525]) ).
cnf(refute_0_527,plain,
join(converse(top),complement(X_51)) = join(complement(X_51),converse(top)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(top))),bind(X1,$fot(complement(X_51)))]]) ).
cnf(refute_0_528,plain,
converse(top) = join(complement(X_24),join(complement(X_24),converse(complement(converse(join(complement(X_24),complement(X_24))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(complement(X_24))),bind(X_20,$fot(complement(X_24)))]]) ).
cnf(refute_0_529,plain,
( converse(top) != join(complement(X_24),join(complement(X_24),converse(complement(converse(join(complement(X_24),complement(X_24)))))))
| join(complement(X_24),complement(X_24)) != complement(X_24)
| converse(top) = join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(complement(X_24),join(complement(X_24),converse(complement(converse(join(complement(X_24),complement(X_24)))))))) ),[1,1,1,0,0,0],$fot(complement(X_24))]]) ).
cnf(refute_0_530,plain,
( converse(top) != join(complement(X_24),join(complement(X_24),converse(complement(converse(join(complement(X_24),complement(X_24)))))))
| converse(top) = join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),complement(X_24)),complement(X_24)) )],[refute_0_111,refute_0_529]) ).
cnf(refute_0_531,plain,
converse(top) = join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_24),join(complement(X_24),converse(complement(converse(join(complement(X_24),complement(X_24)))))))) )],[refute_0_528,refute_0_530]) ).
cnf(refute_0_532,plain,
( converse(top) != join(X_6,converse(complement(converse(X_6))))
| join(X_6,converse(complement(converse(X_6)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_6,converse(complement(converse(X_6))))))]]) ).
cnf(refute_0_533,plain,
join(X_6,converse(complement(converse(X_6)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_6,converse(complement(converse(X_6))))) )],[refute_0_320,refute_0_532]) ).
cnf(refute_0_534,plain,
join(complement(X_24),converse(complement(converse(complement(X_24))))) = converse(top),
inference(subst,[],[refute_0_533:[bind(X_6,$fot(complement(X_24)))]]) ).
cnf(refute_0_535,plain,
join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) = join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))),
introduced(tautology,[refl,[$fot(join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))))]]) ).
cnf(refute_0_536,plain,
( join(complement(X_24),converse(complement(converse(complement(X_24))))) != converse(top)
| join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) != join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24))))))
| join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) = join(complement(X_24),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))),join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24))))))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_537,plain,
( join(complement(X_24),converse(complement(converse(complement(X_24))))) != converse(top)
| join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) = join(complement(X_24),converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))),join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24))))))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) = join(complement(X_24),converse(top)),
inference(resolve,[$cnf( $equal(join(complement(X_24),converse(complement(converse(complement(X_24))))),converse(top)) )],[refute_0_534,refute_0_537]) ).
cnf(refute_0_539,plain,
( converse(top) != join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24))))))
| join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))) != join(complement(X_24),converse(top))
| converse(top) = join(complement(X_24),converse(top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(X_24),converse(top))) ),[0],$fot(join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))))]]) ).
cnf(refute_0_540,plain,
( converse(top) != join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24))))))
| converse(top) = join(complement(X_24),converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24)))))),join(complement(X_24),converse(top))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
converse(top) = join(complement(X_24),converse(top)),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_24),join(complement(X_24),converse(complement(converse(complement(X_24))))))) )],[refute_0_531,refute_0_540]) ).
cnf(refute_0_542,plain,
converse(top) = join(complement(X_51),converse(top)),
inference(subst,[],[refute_0_541:[bind(X_24,$fot(X_51))]]) ).
cnf(refute_0_543,plain,
( converse(top) != join(complement(X_51),converse(top))
| join(complement(X_51),converse(top)) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_51),converse(top))))]]) ).
cnf(refute_0_544,plain,
join(complement(X_51),converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_51),converse(top))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
( join(complement(X_51),converse(top)) != converse(top)
| join(converse(top),complement(X_51)) != join(complement(X_51),converse(top))
| join(converse(top),complement(X_51)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(X_51)),join(complement(X_51),converse(top))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_546,plain,
( join(converse(top),complement(X_51)) != join(complement(X_51),converse(top))
| join(converse(top),complement(X_51)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_51),converse(top)),converse(top)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
join(converse(top),complement(X_51)) = converse(top),
inference(resolve,[$cnf( $equal(join(converse(top),complement(X_51)),join(complement(X_51),converse(top))) )],[refute_0_527,refute_0_546]) ).
cnf(refute_0_548,plain,
join(converse(top),complement(converse(top))) = converse(top),
inference(subst,[],[refute_0_547:[bind(X_51,$fot(converse(top)))]]) ).
cnf(refute_0_549,plain,
converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = join(X0,converse(join(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_272:[bind(X_5,$fot(join(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_550,plain,
converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(top)),bind(X_5,$fot(join(skolemFOFtoCNF_X0,complement(converse(top)))))]]) ).
cnf(refute_0_551,plain,
converse(top) = join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(join(top,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(top))]]) ).
cnf(refute_0_552,plain,
converse(join(converse(top),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,converse(top))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(converse(top))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_553,plain,
( converse(join(converse(top),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(top)))
| join(skolemFOFtoCNF_X0,converse(top)) != converse(top)
| converse(join(converse(top),skolemFOFtoCNF_X0)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(top)))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_554,plain,
( converse(join(converse(top),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(top)))
| converse(join(converse(top),skolemFOFtoCNF_X0)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(top)),converse(top)) )],[refute_0_526,refute_0_553]) ).
cnf(refute_0_555,plain,
converse(join(converse(top),skolemFOFtoCNF_X0)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(top),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(top)))) )],[refute_0_552,refute_0_554]) ).
cnf(refute_0_556,plain,
join(converse(skolemFOFtoCNF_X0),top) = join(top,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(top)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_557,plain,
converse(join(skolemFOFtoCNF_X0,converse(top))) = join(converse(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_400:[bind(X0,$fot(top)),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_558,plain,
( converse(join(skolemFOFtoCNF_X0,converse(top))) != join(converse(skolemFOFtoCNF_X0),top)
| join(converse(skolemFOFtoCNF_X0),top) != join(top,converse(skolemFOFtoCNF_X0))
| converse(join(skolemFOFtoCNF_X0,converse(top))) = join(top,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,converse(top))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),top))),bind(Z,$fot(join(top,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_559,plain,
( join(converse(skolemFOFtoCNF_X0),top) != join(top,converse(skolemFOFtoCNF_X0))
| converse(join(skolemFOFtoCNF_X0,converse(top))) = join(top,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(top))),join(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
converse(join(skolemFOFtoCNF_X0,converse(top))) = join(top,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),top),join(top,converse(skolemFOFtoCNF_X0))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
( converse(join(converse(top),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(top)))
| converse(join(skolemFOFtoCNF_X0,converse(top))) != join(top,converse(skolemFOFtoCNF_X0))
| converse(join(converse(top),skolemFOFtoCNF_X0)) = join(top,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(top),skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,converse(top))))),bind(Z,$fot(join(top,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_562,plain,
( converse(join(skolemFOFtoCNF_X0,converse(top))) != join(top,converse(skolemFOFtoCNF_X0))
| converse(join(converse(top),skolemFOFtoCNF_X0)) = join(top,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(top)))) )],[refute_0_552,refute_0_561]) ).
cnf(refute_0_563,plain,
converse(join(converse(top),skolemFOFtoCNF_X0)) = join(top,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(top))),join(top,converse(skolemFOFtoCNF_X0))) )],[refute_0_560,refute_0_562]) ).
cnf(refute_0_564,plain,
( converse(join(converse(top),skolemFOFtoCNF_X0)) != converse(converse(top))
| converse(join(converse(top),skolemFOFtoCNF_X0)) != join(top,converse(skolemFOFtoCNF_X0))
| join(top,converse(skolemFOFtoCNF_X0)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),skolemFOFtoCNF_X0)),converse(converse(top))) ),[0],$fot(join(top,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_565,plain,
( converse(join(converse(top),skolemFOFtoCNF_X0)) != converse(converse(top))
| join(top,converse(skolemFOFtoCNF_X0)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),skolemFOFtoCNF_X0)),join(top,converse(skolemFOFtoCNF_X0))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
( converse(converse(top)) != top
| join(top,converse(skolemFOFtoCNF_X0)) != converse(converse(top))
| join(top,converse(skolemFOFtoCNF_X0)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(skolemFOFtoCNF_X0)),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_567,plain,
( join(top,converse(skolemFOFtoCNF_X0)) != converse(converse(top))
| join(top,converse(skolemFOFtoCNF_X0)) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_413,refute_0_566]) ).
cnf(refute_0_568,plain,
( converse(join(converse(top),skolemFOFtoCNF_X0)) != converse(converse(top))
| join(top,converse(skolemFOFtoCNF_X0)) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(skolemFOFtoCNF_X0)),converse(converse(top))) )],[refute_0_565,refute_0_567]) ).
cnf(refute_0_569,plain,
join(top,converse(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(top),skolemFOFtoCNF_X0)),converse(converse(top))) )],[refute_0_555,refute_0_568]) ).
cnf(refute_0_570,plain,
( converse(top) != join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(join(top,converse(skolemFOFtoCNF_X0)))))))
| join(top,converse(skolemFOFtoCNF_X0)) != top
| converse(top) = join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(join(top,converse(skolemFOFtoCNF_X0)))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_571,plain,
( converse(top) != join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(join(top,converse(skolemFOFtoCNF_X0)))))))
| converse(top) = join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,converse(skolemFOFtoCNF_X0)),top) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
converse(top) = join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(join(top,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_551,refute_0_571]) ).
cnf(refute_0_573,plain,
join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))))]]) ).
cnf(refute_0_574,plain,
( join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))) != converse(join(skolemFOFtoCNF_X0,complement(converse(top))))
| join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) != join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))
| join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))]]) ).
cnf(refute_0_575,plain,
( join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))) != converse(join(skolemFOFtoCNF_X0,complement(converse(top))))
| join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))),converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) )],[refute_0_421,refute_0_575]) ).
cnf(refute_0_577,plain,
join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) = join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(top)),bind(X_5,$fot(complement(converse(top))))]]) ).
cnf(refute_0_578,plain,
( join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) != join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))
| join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) != join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))))),bind(Y,$fot(join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))))),bind(Z,$fot(join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))]]) ).
cnf(refute_0_579,plain,
( join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))) != join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))),join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top)))))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(top,join(converse(skolemFOFtoCNF_X0),converse(complement(converse(top))))),join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( converse(top) != join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top)))))
| join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))) != join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| converse(top) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))))]]) ).
cnf(refute_0_582,plain,
( converse(top) != join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top)))))
| converse(top) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top))))),join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
converse(top) = join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(skolemFOFtoCNF_X0),join(top,converse(complement(converse(top)))))) )],[refute_0_572,refute_0_582]) ).
cnf(refute_0_584,plain,
( converse(top) != join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))))]]) ).
cnf(refute_0_585,plain,
join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) != join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(top)
| converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(top)) ),[0],$fot(join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))))]]) ).
cnf(refute_0_587,plain,
( converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) != join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))
| converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(top)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))),join(top,converse(join(skolemFOFtoCNF_X0,complement(converse(top)))))) )],[refute_0_550,refute_0_587]) ).
cnf(refute_0_589,plain,
join(converse(top),complement(converse(top))) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(converse(top)))]]) ).
cnf(refute_0_590,plain,
join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) = join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))))]]) ).
cnf(refute_0_591,plain,
( join(converse(top),complement(converse(top))) != top
| join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) != join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))
| join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) = join(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))),join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_592,plain,
( join(converse(top),complement(converse(top))) != top
| join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) = join(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))),join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) = join(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(top))),top) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))),
introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))))]]) ).
cnf(refute_0_595,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) != converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))))
| join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) != join(skolemFOFtoCNF_X0,top)
| converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))),converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_596,plain,
( join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))) != join(skolemFOFtoCNF_X0,top)
| converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))),converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))),join(skolemFOFtoCNF_X0,top)) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
converse(join(join(X_19,X_20),X1)) = join(converse(join(X_19,X_20)),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(join(X_19,X_20)))]]) ).
cnf(refute_0_599,plain,
( converse(join(X_19,X_20)) != converse(join(X_20,X_19))
| converse(join(join(X_19,X_20),X1)) != join(converse(join(X_19,X_20)),converse(X1))
| converse(join(join(X_19,X_20),X1)) = join(converse(join(X_20,X_19)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),join(converse(join(X_19,X_20)),converse(X1))) ),[1,0],$fot(converse(join(X_20,X_19)))]]) ).
cnf(refute_0_600,plain,
( converse(join(join(X_19,X_20),X1)) != join(converse(join(X_19,X_20)),converse(X1))
| converse(join(join(X_19,X_20),X1)) = join(converse(join(X_20,X_19)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),converse(join(X_20,X_19))) )],[refute_0_322,refute_0_599]) ).
cnf(refute_0_601,plain,
converse(join(join(X_19,X_20),X1)) = join(converse(join(X_20,X_19)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),join(converse(join(X_19,X_20)),converse(X1))) )],[refute_0_598,refute_0_600]) ).
cnf(refute_0_602,plain,
join(join(X_19,X_20),X1) = join(X_19,join(X_20,X1)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_603,plain,
converse(join(join(X_19,X_20),X1)) = converse(join(join(X_19,X_20),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_19,X_20),X1)))]]) ).
cnf(refute_0_604,plain,
( converse(join(join(X_19,X_20),X1)) != converse(join(join(X_19,X_20),X1))
| join(join(X_19,X_20),X1) != join(X_19,join(X_20,X1))
| converse(join(join(X_19,X_20),X1)) = converse(join(X_19,join(X_20,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),converse(join(join(X_19,X_20),X1))) ),[1,0],$fot(join(X_19,join(X_20,X1)))]]) ).
cnf(refute_0_605,plain,
( join(join(X_19,X_20),X1) != join(X_19,join(X_20,X1))
| converse(join(join(X_19,X_20),X1)) = converse(join(X_19,join(X_20,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),converse(join(join(X_19,X_20),X1))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
converse(join(join(X_19,X_20),X1)) = converse(join(X_19,join(X_20,X1))),
inference(resolve,[$cnf( $equal(join(join(X_19,X_20),X1),join(X_19,join(X_20,X1))) )],[refute_0_602,refute_0_605]) ).
cnf(refute_0_607,plain,
( converse(join(join(X_19,X_20),X1)) != converse(join(X_19,join(X_20,X1)))
| converse(join(join(X_19,X_20),X1)) != join(converse(join(X_20,X_19)),converse(X1))
| converse(join(X_19,join(X_20,X1))) = join(converse(join(X_20,X_19)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),join(converse(join(X_20,X_19)),converse(X1))) ),[0],$fot(converse(join(X_19,join(X_20,X1))))]]) ).
cnf(refute_0_608,plain,
( converse(join(join(X_19,X_20),X1)) != join(converse(join(X_20,X_19)),converse(X1))
| converse(join(X_19,join(X_20,X1))) = join(converse(join(X_20,X_19)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),converse(join(X_19,join(X_20,X1)))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
join(join(X_20,X_19),X1) = join(X_20,join(X_19,X1)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_20)),bind(X1,$fot(X_19)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_610,plain,
converse(join(join(X_20,X_19),X1)) = converse(join(join(X_20,X_19),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_20,X_19),X1)))]]) ).
cnf(refute_0_611,plain,
( converse(join(join(X_20,X_19),X1)) != converse(join(join(X_20,X_19),X1))
| join(join(X_20,X_19),X1) != join(X_20,join(X_19,X1))
| converse(join(join(X_20,X_19),X1)) = converse(join(X_20,join(X_19,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_20,X_19),X1)),converse(join(join(X_20,X_19),X1))) ),[1,0],$fot(join(X_20,join(X_19,X1)))]]) ).
cnf(refute_0_612,plain,
( join(join(X_20,X_19),X1) != join(X_20,join(X_19,X1))
| converse(join(join(X_20,X_19),X1)) = converse(join(X_20,join(X_19,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_20,X_19),X1)),converse(join(join(X_20,X_19),X1))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
converse(join(join(X_20,X_19),X1)) = converse(join(X_20,join(X_19,X1))),
inference(resolve,[$cnf( $equal(join(join(X_20,X_19),X1),join(X_20,join(X_19,X1))) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
join(converse(join(X_20,X_19)),converse(X1)) = converse(join(join(X_20,X_19),X1)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(join(X_20,X_19)))]]) ).
cnf(refute_0_615,plain,
( converse(join(join(X_20,X_19),X1)) != converse(join(X_20,join(X_19,X1)))
| join(converse(join(X_20,X_19)),converse(X1)) != converse(join(join(X_20,X_19),X1))
| join(converse(join(X_20,X_19)),converse(X1)) = converse(join(X_20,join(X_19,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(X_20,X_19)),converse(X1)))),bind(Y,$fot(converse(join(join(X_20,X_19),X1)))),bind(Z,$fot(converse(join(X_20,join(X_19,X1)))))]]) ).
cnf(refute_0_616,plain,
( converse(join(join(X_20,X_19),X1)) != converse(join(X_20,join(X_19,X1)))
| join(converse(join(X_20,X_19)),converse(X1)) = converse(join(X_20,join(X_19,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_20,X_19)),converse(X1)),converse(join(join(X_20,X_19),X1))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
join(converse(join(X_20,X_19)),converse(X1)) = converse(join(X_20,join(X_19,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_20,X_19),X1)),converse(join(X_20,join(X_19,X1)))) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
( converse(join(X_19,join(X_20,X1))) != join(converse(join(X_20,X_19)),converse(X1))
| join(converse(join(X_20,X_19)),converse(X1)) != converse(join(X_20,join(X_19,X1)))
| converse(join(X_19,join(X_20,X1))) = converse(join(X_20,join(X_19,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_19,join(X_20,X1))),converse(join(X_20,join(X_19,X1)))) ),[0],$fot(join(converse(join(X_20,X_19)),converse(X1)))]]) ).
cnf(refute_0_619,plain,
( converse(join(X_19,join(X_20,X1))) != join(converse(join(X_20,X_19)),converse(X1))
| converse(join(X_19,join(X_20,X1))) = converse(join(X_20,join(X_19,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_20,X_19)),converse(X1)),converse(join(X_20,join(X_19,X1)))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
( converse(join(join(X_19,X_20),X1)) != join(converse(join(X_20,X_19)),converse(X1))
| converse(join(X_19,join(X_20,X1))) = converse(join(X_20,join(X_19,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,join(X_20,X1))),join(converse(join(X_20,X_19)),converse(X1))) )],[refute_0_608,refute_0_619]) ).
cnf(refute_0_621,plain,
converse(join(X_19,join(X_20,X1))) = converse(join(X_20,join(X_19,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_19,X_20),X1)),join(converse(join(X_20,X_19)),converse(X1))) )],[refute_0_601,refute_0_620]) ).
cnf(refute_0_622,plain,
( converse(join(X_19,join(X_20,X1))) != converse(join(X_20,join(X_19,X1)))
| converse(join(X_20,join(X_19,X1))) = converse(join(X_19,join(X_20,X1))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_19,join(X_20,X1))))),bind(Y,$fot(converse(join(X_20,join(X_19,X1)))))]]) ).
cnf(refute_0_623,plain,
converse(join(X_20,join(X_19,X1))) = converse(join(X_19,join(X_20,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_19,join(X_20,X1))),converse(join(X_20,join(X_19,X1)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))),
inference(subst,[],[refute_0_623:[bind(X1,$fot(complement(converse(top)))),bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(converse(top)))]]) ).
cnf(refute_0_625,plain,
( converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))))
| converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) != converse(join(skolemFOFtoCNF_X0,top))
| converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_626,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))) != converse(join(skolemFOFtoCNF_X0,top))
| converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top)))))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) = converse(join(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(top),complement(converse(top))))),converse(join(skolemFOFtoCNF_X0,top))) )],[refute_0_597,refute_0_626]) ).
cnf(refute_0_628,plain,
( converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(join(skolemFOFtoCNF_X0,top))
| converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(top)
| converse(join(skolemFOFtoCNF_X0,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(top)) ),[0],$fot(converse(join(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_629,plain,
( converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))) != converse(top)
| converse(join(skolemFOFtoCNF_X0,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(join(skolemFOFtoCNF_X0,top))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
converse(join(skolemFOFtoCNF_X0,top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(top),join(skolemFOFtoCNF_X0,complement(converse(top))))),converse(top)) )],[refute_0_588,refute_0_629]) ).
cnf(refute_0_631,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) != join(X0,converse(join(skolemFOFtoCNF_X0,top)))
| converse(join(skolemFOFtoCNF_X0,top)) != converse(top)
| converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = join(X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))),join(X0,converse(join(skolemFOFtoCNF_X0,top)))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_632,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) != join(X0,converse(join(skolemFOFtoCNF_X0,top)))
| converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = join(X0,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,top)),converse(top)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = join(X0,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))),join(X0,converse(join(skolemFOFtoCNF_X0,top)))) )],[refute_0_549,refute_0_632]) ).
cnf(refute_0_634,plain,
converse(join(X0,join(X_19,X_20))) = join(converse(X0),converse(join(X_19,X_20))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(join(X_19,X_20)))]]) ).
cnf(refute_0_635,plain,
( converse(join(X0,join(X_19,X_20))) != join(converse(X0),converse(join(X_19,X_20)))
| converse(join(X_19,X_20)) != converse(join(X_20,X_19))
| converse(join(X0,join(X_19,X_20))) = join(converse(X0),converse(join(X_20,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_19,X_20))),join(converse(X0),converse(join(X_19,X_20)))) ),[1,1],$fot(converse(join(X_20,X_19)))]]) ).
cnf(refute_0_636,plain,
( converse(join(X0,join(X_19,X_20))) != join(converse(X0),converse(join(X_19,X_20)))
| converse(join(X0,join(X_19,X_20))) = join(converse(X0),converse(join(X_20,X_19))) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),converse(join(X_20,X_19))) )],[refute_0_322,refute_0_635]) ).
cnf(refute_0_637,plain,
converse(join(X0,join(X_19,X_20))) = join(converse(X0),converse(join(X_20,X_19))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_19,X_20))),join(converse(X0),converse(join(X_19,X_20)))) )],[refute_0_634,refute_0_636]) ).
cnf(refute_0_638,plain,
join(converse(X0),converse(join(X_20,X_19))) = converse(join(X0,join(X_20,X_19))),
inference(subst,[],[refute_0_308:[bind(X1,$fot(join(X_20,X_19)))]]) ).
cnf(refute_0_639,plain,
( converse(join(X0,join(X_19,X_20))) != join(converse(X0),converse(join(X_20,X_19)))
| join(converse(X0),converse(join(X_20,X_19))) != converse(join(X0,join(X_20,X_19)))
| converse(join(X0,join(X_19,X_20))) = converse(join(X0,join(X_20,X_19))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_19,X_20))),converse(join(X0,join(X_20,X_19)))) ),[0],$fot(join(converse(X0),converse(join(X_20,X_19))))]]) ).
cnf(refute_0_640,plain,
( converse(join(X0,join(X_19,X_20))) != join(converse(X0),converse(join(X_20,X_19)))
| converse(join(X0,join(X_19,X_20))) = converse(join(X0,join(X_20,X_19))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_20,X_19))),converse(join(X0,join(X_20,X_19)))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
converse(join(X0,join(X_19,X_20))) = converse(join(X0,join(X_20,X_19))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_19,X_20))),join(converse(X0),converse(join(X_20,X_19)))) )],[refute_0_637,refute_0_640]) ).
cnf(refute_0_642,plain,
( converse(join(X0,join(X_19,X_20))) != converse(join(X0,join(X_20,X_19)))
| converse(join(X0,join(X_20,X_19))) = converse(join(X0,join(X_19,X_20))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,join(X_19,X_20))))),bind(Y,$fot(converse(join(X0,join(X_20,X_19)))))]]) ).
cnf(refute_0_643,plain,
converse(join(X0,join(X_20,X_19))) = converse(join(X0,join(X_19,X_20))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_19,X_20))),converse(join(X0,join(X_20,X_19)))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(X0),top))) = converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))),
inference(subst,[],[refute_0_643:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_19,$fot(top)),bind(X_20,$fot(converse(X0)))]]) ).
cnf(refute_0_645,plain,
converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = converse(join(skolemFOFtoCNF_X0,join(converse(X0),top))),
inference(subst,[],[refute_0_623:[bind(X1,$fot(top)),bind(X_19,$fot(skolemFOFtoCNF_X0)),bind(X_20,$fot(converse(X0)))]]) ).
cnf(refute_0_646,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) != converse(join(skolemFOFtoCNF_X0,join(converse(X0),top)))
| converse(join(skolemFOFtoCNF_X0,join(converse(X0),top))) != converse(join(skolemFOFtoCNF_X0,join(top,converse(X0))))
| converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(X0),top))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0))))))]]) ).
cnf(refute_0_647,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(X0),top))) != converse(join(skolemFOFtoCNF_X0,join(top,converse(X0))))
| converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))),converse(join(skolemFOFtoCNF_X0,join(converse(X0),top)))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) = converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(X0),top))),converse(join(skolemFOFtoCNF_X0,join(top,converse(X0))))) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) != converse(join(skolemFOFtoCNF_X0,join(top,converse(X0))))
| converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) != join(X0,converse(top))
| converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = join(X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))),join(X0,converse(top))) ),[0],$fot(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))))]]) ).
cnf(refute_0_650,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))) != join(X0,converse(top))
| converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = join(X0,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))),converse(join(skolemFOFtoCNF_X0,join(top,converse(X0))))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = join(X0,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,top))),join(X0,converse(top))) )],[refute_0_633,refute_0_650]) ).
cnf(refute_0_652,plain,
converse(join(top,converse(X0))) = join(converse(top),X0),
inference(subst,[],[refute_0_400:[bind(X_4,$fot(top))]]) ).
cnf(refute_0_653,plain,
converse(join(join(skolemFOFtoCNF_X0,top),X1)) = join(converse(join(skolemFOFtoCNF_X0,top)),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(join(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_654,plain,
( converse(join(join(skolemFOFtoCNF_X0,top),X1)) != join(converse(join(skolemFOFtoCNF_X0,top)),converse(X1))
| converse(join(skolemFOFtoCNF_X0,top)) != converse(top)
| converse(join(join(skolemFOFtoCNF_X0,top),X1)) = join(converse(top),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),join(converse(join(skolemFOFtoCNF_X0,top)),converse(X1))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_655,plain,
( converse(join(join(skolemFOFtoCNF_X0,top),X1)) != join(converse(join(skolemFOFtoCNF_X0,top)),converse(X1))
| converse(join(join(skolemFOFtoCNF_X0,top),X1)) = join(converse(top),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,top)),converse(top)) )],[refute_0_630,refute_0_654]) ).
cnf(refute_0_656,plain,
converse(join(join(skolemFOFtoCNF_X0,top),X1)) = join(converse(top),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),join(converse(join(skolemFOFtoCNF_X0,top)),converse(X1))) )],[refute_0_653,refute_0_655]) ).
cnf(refute_0_657,plain,
join(join(skolemFOFtoCNF_X0,top),X1) = join(skolemFOFtoCNF_X0,join(top,X1)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_658,plain,
converse(join(join(skolemFOFtoCNF_X0,top),X1)) = converse(join(join(skolemFOFtoCNF_X0,top),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(skolemFOFtoCNF_X0,top),X1)))]]) ).
cnf(refute_0_659,plain,
( converse(join(join(skolemFOFtoCNF_X0,top),X1)) != converse(join(join(skolemFOFtoCNF_X0,top),X1))
| join(join(skolemFOFtoCNF_X0,top),X1) != join(skolemFOFtoCNF_X0,join(top,X1))
| converse(join(join(skolemFOFtoCNF_X0,top),X1)) = converse(join(skolemFOFtoCNF_X0,join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),converse(join(join(skolemFOFtoCNF_X0,top),X1))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,join(top,X1)))]]) ).
cnf(refute_0_660,plain,
( join(join(skolemFOFtoCNF_X0,top),X1) != join(skolemFOFtoCNF_X0,join(top,X1))
| converse(join(join(skolemFOFtoCNF_X0,top),X1)) = converse(join(skolemFOFtoCNF_X0,join(top,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),converse(join(join(skolemFOFtoCNF_X0,top),X1))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
converse(join(join(skolemFOFtoCNF_X0,top),X1)) = converse(join(skolemFOFtoCNF_X0,join(top,X1))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,top),X1),join(skolemFOFtoCNF_X0,join(top,X1))) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
( converse(join(join(skolemFOFtoCNF_X0,top),X1)) != converse(join(skolemFOFtoCNF_X0,join(top,X1)))
| converse(join(join(skolemFOFtoCNF_X0,top),X1)) != join(converse(top),converse(X1))
| converse(join(skolemFOFtoCNF_X0,join(top,X1))) = join(converse(top),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),join(converse(top),converse(X1))) ),[0],$fot(converse(join(skolemFOFtoCNF_X0,join(top,X1))))]]) ).
cnf(refute_0_663,plain,
( converse(join(join(skolemFOFtoCNF_X0,top),X1)) != join(converse(top),converse(X1))
| converse(join(skolemFOFtoCNF_X0,join(top,X1))) = join(converse(top),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),converse(join(skolemFOFtoCNF_X0,join(top,X1)))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
join(converse(top),converse(X1)) = converse(join(top,X1)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(top))]]) ).
cnf(refute_0_665,plain,
( converse(join(skolemFOFtoCNF_X0,join(top,X1))) != join(converse(top),converse(X1))
| join(converse(top),converse(X1)) != converse(join(top,X1))
| converse(join(skolemFOFtoCNF_X0,join(top,X1))) = converse(join(top,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,join(top,X1))),converse(join(top,X1))) ),[0],$fot(join(converse(top),converse(X1)))]]) ).
cnf(refute_0_666,plain,
( converse(join(skolemFOFtoCNF_X0,join(top,X1))) != join(converse(top),converse(X1))
| converse(join(skolemFOFtoCNF_X0,join(top,X1))) = converse(join(top,X1)) ),
inference(resolve,[$cnf( $equal(join(converse(top),converse(X1)),converse(join(top,X1))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
( converse(join(join(skolemFOFtoCNF_X0,top),X1)) != join(converse(top),converse(X1))
| converse(join(skolemFOFtoCNF_X0,join(top,X1))) = converse(join(top,X1)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(top,X1))),join(converse(top),converse(X1))) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
converse(join(skolemFOFtoCNF_X0,join(top,X1))) = converse(join(top,X1)),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,top),X1)),join(converse(top),converse(X1))) )],[refute_0_656,refute_0_667]) ).
cnf(refute_0_669,plain,
converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = converse(join(top,converse(X0))),
inference(subst,[],[refute_0_668:[bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_670,plain,
( converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) != converse(join(top,converse(X0)))
| converse(join(top,converse(X0))) != join(converse(top),X0)
| converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = join(converse(top),X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))))),bind(Y,$fot(converse(join(top,converse(X0))))),bind(Z,$fot(join(converse(top),X0)))]]) ).
cnf(refute_0_671,plain,
( converse(join(top,converse(X0))) != join(converse(top),X0)
| converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = join(converse(top),X0) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))),converse(join(top,converse(X0)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) = join(converse(top),X0),
inference(resolve,[$cnf( $equal(converse(join(top,converse(X0))),join(converse(top),X0)) )],[refute_0_652,refute_0_671]) ).
cnf(refute_0_673,plain,
( converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) != join(X0,converse(top))
| converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) != join(converse(top),X0)
| join(converse(top),X0) = join(X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))),join(X0,converse(top))) ),[0],$fot(join(converse(top),X0))]]) ).
cnf(refute_0_674,plain,
( converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))) != join(X0,converse(top))
| join(converse(top),X0) = join(X0,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))),join(converse(top),X0)) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
join(converse(top),X0) = join(X0,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(top,converse(X0)))),join(X0,converse(top))) )],[refute_0_651,refute_0_674]) ).
cnf(refute_0_676,plain,
( join(converse(top),X0) != join(X0,converse(top))
| join(X0,converse(top)) = join(converse(top),X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(top),X0))),bind(Y,$fot(join(X0,converse(top))))]]) ).
cnf(refute_0_677,plain,
join(X0,converse(top)) = join(converse(top),X0),
inference(resolve,[$cnf( $equal(join(converse(top),X0),join(X0,converse(top))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
join(complement(converse(top)),converse(top)) = join(converse(top),complement(converse(top))),
inference(subst,[],[refute_0_677:[bind(X0,$fot(complement(converse(top))))]]) ).
cnf(refute_0_679,plain,
( join(complement(converse(top)),converse(top)) != join(converse(top),complement(converse(top)))
| join(converse(top),complement(converse(top))) != converse(top)
| join(complement(converse(top)),converse(top)) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),converse(top)))),bind(Y,$fot(join(converse(top),complement(converse(top))))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_680,plain,
( join(converse(top),complement(converse(top))) != converse(top)
| join(complement(converse(top)),converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(top)),join(converse(top),complement(converse(top)))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
join(complement(converse(top)),converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(top))),converse(top)) )],[refute_0_548,refute_0_680]) ).
cnf(refute_0_682,plain,
join(complement(converse(top)),join(converse(complement(one)),one)) = join(complement(converse(top)),join(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),join(converse(complement(one)),one)))]]) ).
cnf(refute_0_683,plain,
( join(complement(converse(top)),join(converse(complement(one)),one)) != join(complement(converse(top)),join(converse(complement(one)),one))
| join(converse(complement(one)),one) != converse(top)
| join(complement(converse(top)),join(converse(complement(one)),one)) = join(complement(converse(top)),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),join(converse(complement(one)),one)),join(complement(converse(top)),join(converse(complement(one)),one))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_684,plain,
( join(converse(complement(one)),one) != converse(top)
| join(complement(converse(top)),join(converse(complement(one)),one)) = join(complement(converse(top)),converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(complement(one)),one)),join(complement(converse(top)),join(converse(complement(one)),one))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
join(complement(converse(top)),join(converse(complement(one)),one)) = join(complement(converse(top)),converse(top)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),one),converse(top)) )],[refute_0_515,refute_0_684]) ).
cnf(refute_0_686,plain,
( join(complement(converse(top)),converse(top)) != converse(top)
| join(complement(converse(top)),join(converse(complement(one)),one)) != join(complement(converse(top)),converse(top))
| join(complement(converse(top)),join(converse(complement(one)),one)) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),join(converse(complement(one)),one)))),bind(Y,$fot(join(complement(converse(top)),converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_687,plain,
( join(complement(converse(top)),converse(top)) != converse(top)
| join(complement(converse(top)),join(converse(complement(one)),one)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(complement(one)),one)),join(complement(converse(top)),converse(top))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
join(complement(converse(top)),join(converse(complement(one)),one)) = converse(top),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(top)),converse(top)) )],[refute_0_681,refute_0_687]) ).
cnf(refute_0_689,plain,
join(join(complement(converse(top)),converse(complement(one))),one) = join(complement(converse(top)),join(converse(complement(one)),one)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(converse(complement(one)))),bind(X2,$fot(one))]]) ).
cnf(refute_0_690,plain,
( join(complement(converse(top)),join(converse(complement(one)),one)) != converse(top)
| join(join(complement(converse(top)),converse(complement(one))),one) != join(complement(converse(top)),join(converse(complement(one)),one))
| join(join(complement(converse(top)),converse(complement(one))),one) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(converse(top)),converse(complement(one))),one))),bind(Y,$fot(join(complement(converse(top)),join(converse(complement(one)),one)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_691,plain,
( join(complement(converse(top)),join(converse(complement(one)),one)) != converse(top)
| join(join(complement(converse(top)),converse(complement(one))),one) = converse(top) ),
inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),converse(complement(one))),one),join(complement(converse(top)),join(converse(complement(one)),one))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
join(join(complement(converse(top)),converse(complement(one))),one) = converse(top),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),join(converse(complement(one)),one)),converse(top)) )],[refute_0_688,refute_0_691]) ).
cnf(refute_0_693,plain,
join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)))]]) ).
cnf(refute_0_694,plain,
( join(join(complement(converse(top)),converse(complement(one))),one) != converse(top)
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) != join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one))
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = join(skolemFOFtoCNF_X0,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)),join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_695,plain,
( join(join(complement(converse(top)),converse(complement(one))),one) != converse(top)
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = join(skolemFOFtoCNF_X0,converse(top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)),join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = join(skolemFOFtoCNF_X0,converse(top)),
inference(resolve,[$cnf( $equal(join(join(complement(converse(top)),converse(complement(one))),one),converse(top)) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
( join(skolemFOFtoCNF_X0,converse(top)) != converse(top)
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) != join(skolemFOFtoCNF_X0,converse(top))
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_698,plain,
( join(skolemFOFtoCNF_X0,converse(top)) != converse(top)
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)),join(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) = converse(top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(top)),converse(top)) )],[refute_0_526,refute_0_698]) ).
cnf(refute_0_700,plain,
join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(complement(converse(top)),converse(complement(one))))),bind(X2,$fot(one))]]) ).
cnf(refute_0_701,plain,
( join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) != join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one))
| join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) != converse(top)
| join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_702,plain,
( join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)) != converse(top)
| join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = converse(top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one),join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) = converse(top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(converse(top)),converse(complement(one))),one)),converse(top)) )],[refute_0_699,refute_0_702]) ).
cnf(refute_0_704,plain,
( join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) != converse(top)
| join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one),top) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_705,plain,
( join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one) != top
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one),converse(top)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,join(complement(converse(top)),converse(complement(one)))),one),top) )],[refute_0_496,refute_0_705]) ).
cnf(refute_0_707,plain,
( converse(top) != top
| join(X_473,composition(top,complement(composition(converse(top),complement(X_473))))) != X_473
| join(X_473,composition(top,complement(composition(top,complement(X_473))))) = X_473 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_473,composition(top,complement(composition(converse(top),complement(X_473))))),X_473) ),[0,1,1,0,0],$fot(top)]]) ).
cnf(refute_0_708,plain,
( join(X_473,composition(top,complement(composition(converse(top),complement(X_473))))) != X_473
| join(X_473,composition(top,complement(composition(top,complement(X_473))))) = X_473 ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
join(X_473,composition(top,complement(composition(top,complement(X_473))))) = X_473,
inference(resolve,[$cnf( $equal(join(X_473,composition(top,complement(composition(converse(top),complement(X_473))))),X_473) )],[refute_0_299,refute_0_708]) ).
cnf(refute_0_710,plain,
join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,composition(top,X_157))))) = complement(composition(top,X_157)),
inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_157)))]]) ).
cnf(refute_0_711,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_712,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_713,plain,
composition(top,top) = complement(complement(composition(top,top))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(composition(top,top)))]]) ).
cnf(refute_0_714,plain,
complement(composition(top,top)) = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_0_88:[bind(X_13,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_715,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_716,plain,
composition(join(X_144,top),complement(composition(top,top))) = join(composition(X_144,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_717,plain,
join(complement(top),composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(subst,[],[refute_0_55:[bind(X1,$fot(top))]]) ).
cnf(refute_0_718,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_719,plain,
( join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_718]) ).
cnf(refute_0_720,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_717,refute_0_719]) ).
cnf(refute_0_721,plain,
( complement(top) != zero
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_722,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_721]) ).
cnf(refute_0_723,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_0_720,refute_0_722]) ).
cnf(refute_0_724,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = composition(converse(X0),complement(composition(X0,top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(converse(X0),complement(composition(X0,top)))))]]) ).
cnf(refute_0_725,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != composition(converse(X0),complement(composition(X0,top)))
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
| composition(converse(X0),complement(composition(X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) ),[0],$fot(composition(converse(X0),complement(composition(X0,top))))]]) ).
cnf(refute_0_726,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
| composition(converse(X0),complement(composition(X0,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),composition(converse(X0),complement(composition(X0,top)))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
composition(converse(top),complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_727:[bind(X0,$fot(top))]]) ).
cnf(refute_0_729,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| converse(top) != top
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) ),[0,0],$fot(top)]]) ).
cnf(refute_0_730,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_729]) ).
cnf(refute_0_731,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) )],[refute_0_728,refute_0_730]) ).
cnf(refute_0_732,plain,
( composition(join(X_144,top),complement(composition(top,top))) != join(composition(X_144,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_144,top),complement(composition(top,top))) = join(composition(X_144,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),join(composition(X_144,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_733,plain,
( composition(join(X_144,top),complement(composition(top,top))) != join(composition(X_144,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_144,top),complement(composition(top,top))) = join(composition(X_144,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
composition(join(X_144,top),complement(composition(top,top))) = join(composition(X_144,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),join(composition(X_144,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_716,refute_0_733]) ).
cnf(refute_0_735,plain,
join(X_144,top) = top,
inference(subst,[],[refute_0_200:[bind(X_81,$fot(X_144))]]) ).
cnf(refute_0_736,plain,
composition(join(X_144,top),complement(composition(top,top))) = composition(join(X_144,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_144,top),complement(composition(top,top))))]]) ).
cnf(refute_0_737,plain,
( composition(join(X_144,top),complement(composition(top,top))) != composition(join(X_144,top),complement(composition(top,top)))
| join(X_144,top) != top
| composition(join(X_144,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),composition(join(X_144,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_738,plain,
( join(X_144,top) != top
| composition(join(X_144,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),composition(join(X_144,top),complement(composition(top,top)))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
composition(join(X_144,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_144,top),top) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
( composition(join(X_144,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_144,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(X_144,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_741,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_144,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
composition(join(X_144,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_731,refute_0_741]) ).
cnf(refute_0_743,plain,
( composition(join(X_144,top),complement(composition(top,top))) != join(composition(X_144,complement(composition(top,top))),zero)
| composition(join(X_144,top),complement(composition(top,top))) != zero
| zero = join(composition(X_144,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),join(composition(X_144,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_744,plain,
( composition(join(X_144,top),complement(composition(top,top))) != join(composition(X_144,complement(composition(top,top))),zero)
| zero = join(composition(X_144,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),zero) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
join(join(zero,X_62),zero) = join(zero,join(zero,X_62)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(zero,X_62))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_746,plain,
join(zero,join(zero,X_62)) = join(zero,X_62),
inference(subst,[],[refute_0_128:[bind(X_57,$fot(X_62))]]) ).
cnf(refute_0_747,plain,
( join(join(zero,X_62),zero) != join(zero,join(zero,X_62))
| join(zero,join(zero,X_62)) != join(zero,X_62)
| join(join(zero,X_62),zero) = join(zero,X_62) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_62),zero),join(zero,X_62)) ),[0],$fot(join(zero,join(zero,X_62)))]]) ).
cnf(refute_0_748,plain,
( join(join(zero,X_62),zero) != join(zero,join(zero,X_62))
| join(join(zero,X_62),zero) = join(zero,X_62) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_62)),join(zero,X_62)) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
join(join(zero,X_62),zero) = join(zero,X_62),
inference(resolve,[$cnf( $equal(join(join(zero,X_62),zero),join(zero,join(zero,X_62))) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
join(join(zero,X_62),zero) = join(zero,join(X_62,zero)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(zero)),bind(X1,$fot(X_62)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_751,plain,
( join(join(zero,X_62),zero) != join(zero,X_62)
| join(join(zero,X_62),zero) != join(zero,join(X_62,zero))
| join(zero,join(X_62,zero)) = join(zero,X_62) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_62),zero),join(zero,X_62)) ),[0],$fot(join(zero,join(X_62,zero)))]]) ).
cnf(refute_0_752,plain,
( join(join(zero,X_62),zero) != join(zero,X_62)
| join(zero,join(X_62,zero)) = join(zero,X_62) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_62),zero),join(zero,join(X_62,zero))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
join(zero,join(X_62,zero)) = join(zero,X_62),
inference(resolve,[$cnf( $equal(join(join(zero,X_62),zero),join(zero,X_62)) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
join(zero,join(meet(X_97,top),zero)) = join(zero,meet(X_97,top)),
inference(subst,[],[refute_0_753:[bind(X_62,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_755,plain,
( join(zero,join(meet(X_97,top),zero)) != join(zero,meet(X_97,top))
| join(zero,meet(X_97,top)) != X_97
| join(zero,join(meet(X_97,top),zero)) = X_97 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,join(meet(X_97,top),zero)),X_97) ),[0],$fot(join(zero,meet(X_97,top)))]]) ).
cnf(refute_0_756,plain,
( join(zero,join(meet(X_97,top),zero)) != join(zero,meet(X_97,top))
| join(zero,join(meet(X_97,top),zero)) = X_97 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,top)),X_97) )],[refute_0_218,refute_0_755]) ).
cnf(refute_0_757,plain,
join(zero,join(meet(X_97,top),zero)) = X_97,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_97,top),zero)),join(zero,meet(X_97,top))) )],[refute_0_754,refute_0_756]) ).
cnf(refute_0_758,plain,
join(zero,join(meet(X_97,top),X2)) = join(join(zero,meet(X_97,top)),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_97,top)))]]) ).
cnf(refute_0_759,plain,
( join(zero,join(meet(X_97,top),X2)) != join(join(zero,meet(X_97,top)),X2)
| join(zero,meet(X_97,top)) != X_97
| join(zero,join(meet(X_97,top),X2)) = join(X_97,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_97,top),X2)),join(join(zero,meet(X_97,top)),X2)) ),[1,0],$fot(X_97)]]) ).
cnf(refute_0_760,plain,
( join(zero,join(meet(X_97,top),X2)) != join(join(zero,meet(X_97,top)),X2)
| join(zero,join(meet(X_97,top),X2)) = join(X_97,X2) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_97,top)),X_97) )],[refute_0_218,refute_0_759]) ).
cnf(refute_0_761,plain,
join(zero,join(meet(X_97,top),X2)) = join(X_97,X2),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_97,top),X2)),join(join(zero,meet(X_97,top)),X2)) )],[refute_0_758,refute_0_760]) ).
cnf(refute_0_762,plain,
join(zero,join(meet(X_97,top),zero)) = join(X_97,zero),
inference(subst,[],[refute_0_761:[bind(X2,$fot(zero))]]) ).
cnf(refute_0_763,plain,
( join(zero,join(meet(X_97,top),zero)) != X_97
| join(zero,join(meet(X_97,top),zero)) != join(X_97,zero)
| join(X_97,zero) = X_97 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_97,top),zero)),X_97) ),[0],$fot(join(X_97,zero))]]) ).
cnf(refute_0_764,plain,
( join(zero,join(meet(X_97,top),zero)) != X_97
| join(X_97,zero) = X_97 ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_97,top),zero)),join(X_97,zero)) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
join(X_97,zero) = X_97,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_97,top),zero)),X_97) )],[refute_0_757,refute_0_764]) ).
cnf(refute_0_766,plain,
join(composition(X_144,complement(composition(top,top))),zero) = composition(X_144,complement(composition(top,top))),
inference(subst,[],[refute_0_765:[bind(X_97,$fot(composition(X_144,complement(composition(top,top)))))]]) ).
cnf(refute_0_767,plain,
( join(composition(X_144,complement(composition(top,top))),zero) != composition(X_144,complement(composition(top,top)))
| zero != join(composition(X_144,complement(composition(top,top))),zero)
| zero = composition(X_144,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_144,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_144,complement(composition(top,top))))]]) ).
cnf(refute_0_768,plain,
( zero != join(composition(X_144,complement(composition(top,top))),zero)
| zero = composition(X_144,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,complement(composition(top,top))),zero),composition(X_144,complement(composition(top,top)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
( composition(join(X_144,top),complement(composition(top,top))) != join(composition(X_144,complement(composition(top,top))),zero)
| zero = composition(X_144,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_144,complement(composition(top,top))),zero)) )],[refute_0_744,refute_0_768]) ).
cnf(refute_0_770,plain,
zero = composition(X_144,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_144,top),complement(composition(top,top))),join(composition(X_144,complement(composition(top,top))),zero)) )],[refute_0_734,refute_0_769]) ).
cnf(refute_0_771,plain,
zero = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_0_770:[bind(X_144,$fot(one))]]) ).
cnf(refute_0_772,plain,
( zero != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(one,complement(composition(top,top)))))]]) ).
cnf(refute_0_773,plain,
composition(one,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(one,complement(composition(top,top)))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
( complement(composition(top,top)) != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) != zero
| complement(composition(top,top)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,top)),zero) ),[0],$fot(composition(one,complement(composition(top,top))))]]) ).
cnf(refute_0_775,plain,
( complement(composition(top,top)) != composition(one,complement(composition(top,top)))
| complement(composition(top,top)) = zero ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(top,top))),zero) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(composition(top,top)),composition(one,complement(composition(top,top)))) )],[refute_0_714,refute_0_775]) ).
cnf(refute_0_777,plain,
( complement(composition(top,top)) != zero
| composition(top,top) != complement(complement(composition(top,top)))
| composition(top,top) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),complement(complement(composition(top,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_778,plain,
( composition(top,top) != complement(complement(composition(top,top)))
| composition(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
composition(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(composition(top,top),complement(complement(composition(top,top)))) )],[refute_0_713,refute_0_778]) ).
cnf(refute_0_780,plain,
top = join(zero,meet(top,top)),
inference(subst,[],[refute_0_215:[bind(X_95,$fot(top))]]) ).
cnf(refute_0_781,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_782,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_783,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_783]) ).
cnf(refute_0_785,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_178:[bind(X_28,$fot(top))]]) ).
cnf(refute_0_786,plain,
join(zero,meet(top,top)) = meet(top,top),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(top,top)))]]) ).
cnf(refute_0_787,plain,
( join(zero,meet(top,top)) != meet(top,top)
| meet(top,top) != complement(complement(top))
| join(zero,meet(top,top)) = complement(complement(top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(top,top)))),bind(Y,$fot(meet(top,top))),bind(Z,$fot(complement(complement(top))))]]) ).
cnf(refute_0_788,plain,
( meet(top,top) != complement(complement(top))
| join(zero,meet(top,top)) = complement(complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),meet(top,top)) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
join(zero,meet(top,top)) = complement(complement(top)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_785,refute_0_788]) ).
cnf(refute_0_790,plain,
( complement(complement(top)) != complement(zero)
| join(zero,meet(top,top)) != complement(complement(top))
| join(zero,meet(top,top)) = complement(zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(top,top)))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_791,plain,
( complement(complement(top)) != complement(zero)
| join(zero,meet(top,top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),complement(complement(top))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
join(zero,meet(top,top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_784,refute_0_791]) ).
cnf(refute_0_793,plain,
( join(zero,meet(top,top)) != complement(zero)
| top != join(zero,meet(top,top))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,top))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_794,plain,
( top != join(zero,meet(top,top))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),complement(zero)) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,top))) )],[refute_0_780,refute_0_794]) ).
cnf(refute_0_796,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_797,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
( complement(zero) != top
| composition(top,top) != complement(zero)
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_799,plain,
( composition(top,top) != complement(zero)
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),complement(zero)) )],[refute_0_779,refute_0_799]) ).
cnf(refute_0_801,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_802,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_712,refute_0_802]) ).
cnf(refute_0_804,plain,
composition(top,composition(top,X_157)) = composition(top,X_157),
inference(subst,[],[refute_0_803:[bind(X2,$fot(X_157))]]) ).
cnf(refute_0_805,plain,
( composition(top,composition(top,X_157)) != composition(top,X_157)
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,composition(top,X_157))))) != complement(composition(top,X_157))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = complement(composition(top,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,composition(top,X_157))))),complement(composition(top,X_157))) ),[0,1,1,0],$fot(composition(top,X_157))]]) ).
cnf(refute_0_806,plain,
( join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,composition(top,X_157))))) != complement(composition(top,X_157))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = complement(composition(top,X_157)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_157)),composition(top,X_157)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = complement(composition(top,X_157)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,composition(top,X_157))))),complement(composition(top,X_157))) )],[refute_0_710,refute_0_806]) ).
cnf(refute_0_808,plain,
join(one,top) = top,
inference(subst,[],[refute_0_200:[bind(X_81,$fot(one))]]) ).
cnf(refute_0_809,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_810,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_811,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_811]) ).
cnf(refute_0_813,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_814,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_814]) ).
cnf(refute_0_816,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_817,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_818,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_815,refute_0_818]) ).
cnf(refute_0_820,plain,
composition(join(one,converse(top)),complement(composition(top,X_157))) = composition(join(one,converse(top)),complement(composition(top,X_157))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_157))))]]) ).
cnf(refute_0_821,plain,
( composition(join(one,converse(top)),complement(composition(top,X_157))) != composition(join(one,converse(top)),complement(composition(top,X_157)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_157))) = composition(top,complement(composition(top,X_157))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_157))),composition(join(one,converse(top)),complement(composition(top,X_157)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_822,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_157))) = composition(top,complement(composition(top,X_157))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_157))),composition(join(one,converse(top)),complement(composition(top,X_157)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
composition(join(one,converse(top)),complement(composition(top,X_157))) = composition(top,complement(composition(top,X_157))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
composition(join(X_144,one),X_146) = join(composition(X_144,X_146),composition(one,X_146)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(one)),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_825,plain,
X_146 = composition(one,X_146),
inference(subst,[],[refute_0_88:[bind(X_13,$fot(X_146))]]) ).
cnf(refute_0_826,plain,
( X_146 != composition(one,X_146)
| composition(one,X_146) = X_146 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_146)),bind(Y,$fot(composition(one,X_146)))]]) ).
cnf(refute_0_827,plain,
composition(one,X_146) = X_146,
inference(resolve,[$cnf( $equal(X_146,composition(one,X_146)) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
( composition(join(X_144,one),X_146) != join(composition(X_144,X_146),composition(one,X_146))
| composition(one,X_146) != X_146
| composition(join(X_144,one),X_146) = join(composition(X_144,X_146),X_146) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,one),X_146),join(composition(X_144,X_146),composition(one,X_146))) ),[1,1],$fot(X_146)]]) ).
cnf(refute_0_829,plain,
( composition(join(X_144,one),X_146) != join(composition(X_144,X_146),composition(one,X_146))
| composition(join(X_144,one),X_146) = join(composition(X_144,X_146),X_146) ),
inference(resolve,[$cnf( $equal(composition(one,X_146),X_146) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
composition(join(X_144,one),X_146) = join(composition(X_144,X_146),X_146),
inference(resolve,[$cnf( $equal(composition(join(X_144,one),X_146),join(composition(X_144,X_146),composition(one,X_146))) )],[refute_0_824,refute_0_829]) ).
cnf(refute_0_831,plain,
join(composition(X_144,X_146),X_146) = join(X_146,composition(X_144,X_146)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X_146)),bind(X1,$fot(composition(X_144,X_146)))]]) ).
cnf(refute_0_832,plain,
( composition(join(X_144,one),X_146) != join(composition(X_144,X_146),X_146)
| join(composition(X_144,X_146),X_146) != join(X_146,composition(X_144,X_146))
| composition(join(X_144,one),X_146) = join(X_146,composition(X_144,X_146)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_144,one),X_146),join(X_146,composition(X_144,X_146))) ),[0],$fot(join(composition(X_144,X_146),X_146))]]) ).
cnf(refute_0_833,plain,
( composition(join(X_144,one),X_146) != join(composition(X_144,X_146),X_146)
| composition(join(X_144,one),X_146) = join(X_146,composition(X_144,X_146)) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_146),X_146),join(X_146,composition(X_144,X_146))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
composition(join(X_144,one),X_146) = join(X_146,composition(X_144,X_146)),
inference(resolve,[$cnf( $equal(composition(join(X_144,one),X_146),join(composition(X_144,X_146),X_146)) )],[refute_0_830,refute_0_833]) ).
cnf(refute_0_835,plain,
composition(join(X_154,one),X_155) = join(X_155,composition(X_154,X_155)),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(X_154)),bind(X_146,$fot(X_155))]]) ).
cnf(refute_0_836,plain,
join(one,X_154) = join(X_154,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_154))]]) ).
cnf(refute_0_837,plain,
( join(one,X_154) != join(X_154,one)
| join(X_154,one) = join(one,X_154) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_154))),bind(Y,$fot(join(X_154,one)))]]) ).
cnf(refute_0_838,plain,
join(X_154,one) = join(one,X_154),
inference(resolve,[$cnf( $equal(join(one,X_154),join(X_154,one)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
( composition(join(X_154,one),X_155) != join(X_155,composition(X_154,X_155))
| join(X_154,one) != join(one,X_154)
| composition(join(one,X_154),X_155) = join(X_155,composition(X_154,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_154,one),X_155),join(X_155,composition(X_154,X_155))) ),[0,0],$fot(join(one,X_154))]]) ).
cnf(refute_0_840,plain,
( composition(join(X_154,one),X_155) != join(X_155,composition(X_154,X_155))
| composition(join(one,X_154),X_155) = join(X_155,composition(X_154,X_155)) ),
inference(resolve,[$cnf( $equal(join(X_154,one),join(one,X_154)) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
composition(join(one,X_154),X_155) = join(X_155,composition(X_154,X_155)),
inference(resolve,[$cnf( $equal(composition(join(X_154,one),X_155),join(X_155,composition(X_154,X_155))) )],[refute_0_835,refute_0_840]) ).
cnf(refute_0_842,plain,
( composition(join(X_144,one),X_146) != join(X_146,composition(X_144,X_146))
| join(X_146,composition(X_144,X_146)) = composition(join(X_144,one),X_146) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_144,one),X_146))),bind(Y,$fot(join(X_146,composition(X_144,X_146))))]]) ).
cnf(refute_0_843,plain,
join(X_146,composition(X_144,X_146)) = composition(join(X_144,one),X_146),
inference(resolve,[$cnf( $equal(composition(join(X_144,one),X_146),join(X_146,composition(X_144,X_146))) )],[refute_0_834,refute_0_842]) ).
cnf(refute_0_844,plain,
join(X_155,composition(X_154,X_155)) = composition(join(X_154,one),X_155),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(X_154)),bind(X_146,$fot(X_155))]]) ).
cnf(refute_0_845,plain,
( composition(join(one,X_154),X_155) != join(X_155,composition(X_154,X_155))
| join(X_155,composition(X_154,X_155)) != composition(join(X_154,one),X_155)
| composition(join(one,X_154),X_155) = composition(join(X_154,one),X_155) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_154),X_155),composition(join(X_154,one),X_155)) ),[0],$fot(join(X_155,composition(X_154,X_155)))]]) ).
cnf(refute_0_846,plain,
( composition(join(one,X_154),X_155) != join(X_155,composition(X_154,X_155))
| composition(join(one,X_154),X_155) = composition(join(X_154,one),X_155) ),
inference(resolve,[$cnf( $equal(join(X_155,composition(X_154,X_155)),composition(join(X_154,one),X_155)) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
composition(join(one,X_154),X_155) = composition(join(X_154,one),X_155),
inference(resolve,[$cnf( $equal(composition(join(one,X_154),X_155),join(X_155,composition(X_154,X_155))) )],[refute_0_841,refute_0_846]) ).
cnf(refute_0_848,plain,
( composition(join(one,X_154),X_155) != composition(join(X_154,one),X_155)
| composition(join(X_154,one),X_155) = composition(join(one,X_154),X_155) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_154),X_155))),bind(Y,$fot(composition(join(X_154,one),X_155)))]]) ).
cnf(refute_0_849,plain,
composition(join(X_154,one),X_155) = composition(join(one,X_154),X_155),
inference(resolve,[$cnf( $equal(composition(join(one,X_154),X_155),composition(join(X_154,one),X_155)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
composition(join(converse(top),one),complement(composition(top,X_157))) = composition(join(one,converse(top)),complement(composition(top,X_157))),
inference(subst,[],[refute_0_849:[bind(X_154,$fot(converse(top))),bind(X_155,$fot(complement(composition(top,X_157))))]]) ).
cnf(refute_0_851,plain,
join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(join(converse(top),one),complement(composition(top,X_157))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(converse(top))),bind(X_146,$fot(complement(composition(top,X_157))))]]) ).
cnf(refute_0_852,plain,
( composition(join(converse(top),one),complement(composition(top,X_157))) != composition(join(one,converse(top)),complement(composition(top,X_157)))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) != composition(join(converse(top),one),complement(composition(top,X_157)))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(join(one,converse(top)),complement(composition(top,X_157))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_157))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_157)))))]]) ).
cnf(refute_0_853,plain,
( composition(join(converse(top),one),complement(composition(top,X_157))) != composition(join(one,converse(top)),complement(composition(top,X_157)))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(join(one,converse(top)),complement(composition(top,X_157))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))),composition(join(converse(top),one),complement(composition(top,X_157)))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(join(one,converse(top)),complement(composition(top,X_157))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_157))),composition(join(one,converse(top)),complement(composition(top,X_157)))) )],[refute_0_850,refute_0_853]) ).
cnf(refute_0_855,plain,
( composition(join(one,converse(top)),complement(composition(top,X_157))) != composition(top,complement(composition(top,X_157)))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) != composition(join(one,converse(top)),complement(composition(top,X_157)))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(top,complement(composition(top,X_157))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_157))))),bind(Z,$fot(composition(top,complement(composition(top,X_157)))))]]) ).
cnf(refute_0_856,plain,
( composition(join(one,converse(top)),complement(composition(top,X_157))) != composition(top,complement(composition(top,X_157)))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(top,complement(composition(top,X_157))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))),composition(join(one,converse(top)),complement(composition(top,X_157)))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) = composition(top,complement(composition(top,X_157))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_157))),composition(top,complement(composition(top,X_157)))) )],[refute_0_823,refute_0_856]) ).
cnf(refute_0_858,plain,
( join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) != complement(composition(top,X_157))
| join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) != composition(top,complement(composition(top,X_157)))
| composition(top,complement(composition(top,X_157))) = complement(composition(top,X_157)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))),complement(composition(top,X_157))) ),[0],$fot(composition(top,complement(composition(top,X_157))))]]) ).
cnf(refute_0_859,plain,
( join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))) != complement(composition(top,X_157))
| composition(top,complement(composition(top,X_157))) = complement(composition(top,X_157)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))),composition(top,complement(composition(top,X_157)))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
composition(top,complement(composition(top,X_157))) = complement(composition(top,X_157)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_157)),composition(converse(top),complement(composition(top,X_157)))),complement(composition(top,X_157))) )],[refute_0_807,refute_0_859]) ).
cnf(refute_0_861,plain,
composition(top,complement(composition(top,complement(X_473)))) = complement(composition(top,complement(X_473))),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(complement(X_473)))]]) ).
cnf(refute_0_862,plain,
join(X_473,composition(top,complement(composition(top,complement(X_473))))) = join(X_473,composition(top,complement(composition(top,complement(X_473))))),
introduced(tautology,[refl,[$fot(join(X_473,composition(top,complement(composition(top,complement(X_473))))))]]) ).
cnf(refute_0_863,plain,
( composition(top,complement(composition(top,complement(X_473)))) != complement(composition(top,complement(X_473)))
| join(X_473,composition(top,complement(composition(top,complement(X_473))))) != join(X_473,composition(top,complement(composition(top,complement(X_473)))))
| join(X_473,composition(top,complement(composition(top,complement(X_473))))) = join(X_473,complement(composition(top,complement(X_473)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_473,composition(top,complement(composition(top,complement(X_473))))),join(X_473,composition(top,complement(composition(top,complement(X_473)))))) ),[1,1],$fot(complement(composition(top,complement(X_473))))]]) ).
cnf(refute_0_864,plain,
( composition(top,complement(composition(top,complement(X_473)))) != complement(composition(top,complement(X_473)))
| join(X_473,composition(top,complement(composition(top,complement(X_473))))) = join(X_473,complement(composition(top,complement(X_473)))) ),
inference(resolve,[$cnf( $equal(join(X_473,composition(top,complement(composition(top,complement(X_473))))),join(X_473,composition(top,complement(composition(top,complement(X_473)))))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
join(X_473,composition(top,complement(composition(top,complement(X_473))))) = join(X_473,complement(composition(top,complement(X_473)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(X_473)))),complement(composition(top,complement(X_473)))) )],[refute_0_861,refute_0_864]) ).
cnf(refute_0_866,plain,
( join(X_473,composition(top,complement(composition(top,complement(X_473))))) != X_473
| join(X_473,composition(top,complement(composition(top,complement(X_473))))) != join(X_473,complement(composition(top,complement(X_473))))
| join(X_473,complement(composition(top,complement(X_473)))) = X_473 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_473,composition(top,complement(composition(top,complement(X_473))))),X_473) ),[0],$fot(join(X_473,complement(composition(top,complement(X_473)))))]]) ).
cnf(refute_0_867,plain,
( join(X_473,composition(top,complement(composition(top,complement(X_473))))) != X_473
| join(X_473,complement(composition(top,complement(X_473)))) = X_473 ),
inference(resolve,[$cnf( $equal(join(X_473,composition(top,complement(composition(top,complement(X_473))))),join(X_473,complement(composition(top,complement(X_473))))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
join(X_473,complement(composition(top,complement(X_473)))) = X_473,
inference(resolve,[$cnf( $equal(join(X_473,composition(top,complement(composition(top,complement(X_473))))),X_473) )],[refute_0_709,refute_0_867]) ).
cnf(refute_0_869,plain,
join(converse(X0),complement(composition(top,complement(converse(X0))))) = converse(X0),
inference(subst,[],[refute_0_868:[bind(X_473,$fot(converse(X0)))]]) ).
cnf(refute_0_870,plain,
( converse(join(converse(X0),complement(composition(top,complement(converse(X0)))))) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| join(converse(X0),complement(composition(top,complement(converse(X0))))) != converse(X0)
| converse(converse(X0)) = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),complement(composition(top,complement(converse(X0)))))),join(X0,converse(complement(composition(top,complement(converse(X0))))))) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_871,plain,
( converse(join(converse(X0),complement(composition(top,complement(converse(X0)))))) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| converse(converse(X0)) = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),complement(composition(top,complement(converse(X0))))),converse(X0)) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
converse(converse(X0)) = join(X0,converse(complement(composition(top,complement(converse(X0)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),complement(composition(top,complement(converse(X0)))))),join(X0,converse(complement(composition(top,complement(converse(X0))))))) )],[refute_0_273,refute_0_871]) ).
cnf(refute_0_873,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| X0 = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(X0,converse(complement(composition(top,complement(converse(X0))))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_874,plain,
( converse(converse(X0)) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| X0 = join(X0,converse(complement(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_873]) ).
cnf(refute_0_875,plain,
X_95 = join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_95)),bind(X1,$fot(X_96))]]) ).
cnf(refute_0_876,plain,
meet(X_96,X_95) = meet(X_95,X_96),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_96)),bind(X_28,$fot(X_95))]]) ).
cnf(refute_0_877,plain,
( meet(X_96,X_95) != meet(X_95,X_96)
| meet(X_95,X_96) = meet(X_96,X_95) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_96,X_95))),bind(Y,$fot(meet(X_95,X_96)))]]) ).
cnf(refute_0_878,plain,
meet(X_95,X_96) = meet(X_96,X_95),
inference(resolve,[$cnf( $equal(meet(X_96,X_95),meet(X_95,X_96)) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
( X_95 != join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))
| meet(X_95,X_96) != meet(X_96,X_95)
| X_95 = join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))) ),[1,0],$fot(meet(X_96,X_95))]]) ).
cnf(refute_0_880,plain,
( X_95 != join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))
| X_95 = join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) ),
inference(resolve,[$cnf( $equal(meet(X_95,X_96),meet(X_96,X_95)) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
X_95 = join(meet(X_96,X_95),complement(join(complement(X_95),X_96))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))) )],[refute_0_875,refute_0_880]) ).
cnf(refute_0_882,plain,
meet(X0,join(zero,complement(X_31))) = complement(join(complement(X0),complement(join(zero,complement(X_31))))),
inference(subst,[],[refute_0_0:[bind(X1,$fot(join(zero,complement(X_31))))]]) ).
cnf(refute_0_883,plain,
( complement(join(zero,complement(X_31))) != meet(top,X_31)
| meet(X0,join(zero,complement(X_31))) != complement(join(complement(X0),complement(join(zero,complement(X_31)))))
| meet(X0,join(zero,complement(X_31))) = complement(join(complement(X0),meet(top,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),complement(join(complement(X0),complement(join(zero,complement(X_31)))))) ),[1,0,1],$fot(meet(top,X_31))]]) ).
cnf(refute_0_884,plain,
( meet(X0,join(zero,complement(X_31))) != complement(join(complement(X0),complement(join(zero,complement(X_31)))))
| meet(X0,join(zero,complement(X_31))) = complement(join(complement(X0),meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_31))),meet(top,X_31)) )],[refute_0_42,refute_0_883]) ).
cnf(refute_0_885,plain,
meet(X0,join(zero,complement(X_31))) = complement(join(complement(X0),meet(top,X_31))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),complement(join(complement(X0),complement(join(zero,complement(X_31)))))) )],[refute_0_882,refute_0_884]) ).
cnf(refute_0_886,plain,
meet(X0,join(zero,complement(X_31))) = meet(X0,join(zero,complement(X_31))),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_31))))]]) ).
cnf(refute_0_887,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(X0,join(zero,complement(X_31))) != meet(X0,join(zero,complement(X_31)))
| meet(X0,join(zero,complement(X_31))) = meet(X0,complement(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),meet(X0,join(zero,complement(X_31)))) ),[1,1],$fot(complement(X_31))]]) ).
cnf(refute_0_888,plain,
( join(zero,complement(X_31)) != complement(X_31)
| meet(X0,join(zero,complement(X_31))) = meet(X0,complement(X_31)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),meet(X0,join(zero,complement(X_31)))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
meet(X0,join(zero,complement(X_31))) = meet(X0,complement(X_31)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_31)),complement(X_31)) )],[refute_0_225,refute_0_888]) ).
cnf(refute_0_890,plain,
( meet(X0,join(zero,complement(X_31))) != complement(join(complement(X0),meet(top,X_31)))
| meet(X0,join(zero,complement(X_31))) != meet(X0,complement(X_31))
| meet(X0,complement(X_31)) = complement(join(complement(X0),meet(top,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),complement(join(complement(X0),meet(top,X_31)))) ),[0],$fot(meet(X0,complement(X_31)))]]) ).
cnf(refute_0_891,plain,
( meet(X0,join(zero,complement(X_31))) != complement(join(complement(X0),meet(top,X_31)))
| meet(X0,complement(X_31)) = complement(join(complement(X0),meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),meet(X0,complement(X_31))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
join(complement(X0),meet(top,X_31)) = join(complement(X0),meet(top,X_31)),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_31)))]]) ).
cnf(refute_0_893,plain,
( join(complement(X0),meet(top,X_31)) != join(complement(X0),meet(top,X_31))
| meet(top,X_31) != X_31
| join(complement(X0),meet(top,X_31)) = join(complement(X0),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_31)),join(complement(X0),meet(top,X_31))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_894,plain,
( meet(top,X_31) != X_31
| join(complement(X0),meet(top,X_31)) = join(complement(X0),X_31) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_31)),join(complement(X0),meet(top,X_31))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(complement(X0),meet(top,X_31)) = join(complement(X0),X_31),
inference(resolve,[$cnf( $equal(meet(top,X_31),X_31) )],[refute_0_254,refute_0_894]) ).
cnf(refute_0_896,plain,
complement(join(complement(X0),meet(top,X_31))) = complement(join(complement(X0),meet(top,X_31))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_31))))]]) ).
cnf(refute_0_897,plain,
( complement(join(complement(X0),meet(top,X_31))) != complement(join(complement(X0),meet(top,X_31)))
| join(complement(X0),meet(top,X_31)) != join(complement(X0),X_31)
| complement(join(complement(X0),meet(top,X_31))) = complement(join(complement(X0),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_31))),complement(join(complement(X0),meet(top,X_31)))) ),[1,0],$fot(join(complement(X0),X_31))]]) ).
cnf(refute_0_898,plain,
( join(complement(X0),meet(top,X_31)) != join(complement(X0),X_31)
| complement(join(complement(X0),meet(top,X_31))) = complement(join(complement(X0),X_31)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_31))),complement(join(complement(X0),meet(top,X_31)))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
complement(join(complement(X0),meet(top,X_31))) = complement(join(complement(X0),X_31)),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_31)),join(complement(X0),X_31)) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
( complement(join(complement(X0),meet(top,X_31))) != complement(join(complement(X0),X_31))
| meet(X0,complement(X_31)) != complement(join(complement(X0),meet(top,X_31)))
| meet(X0,complement(X_31)) = complement(join(complement(X0),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_31)),complement(join(complement(X0),meet(top,X_31)))) ),[1],$fot(complement(join(complement(X0),X_31)))]]) ).
cnf(refute_0_901,plain,
( meet(X0,complement(X_31)) != complement(join(complement(X0),meet(top,X_31)))
| meet(X0,complement(X_31)) = complement(join(complement(X0),X_31)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_31))),complement(join(complement(X0),X_31))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
( meet(X0,join(zero,complement(X_31))) != complement(join(complement(X0),meet(top,X_31)))
| meet(X0,complement(X_31)) = complement(join(complement(X0),X_31)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_31)),complement(join(complement(X0),meet(top,X_31)))) )],[refute_0_891,refute_0_901]) ).
cnf(refute_0_903,plain,
meet(X0,complement(X_31)) = complement(join(complement(X0),X_31)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_31))),complement(join(complement(X0),meet(top,X_31)))) )],[refute_0_885,refute_0_902]) ).
cnf(refute_0_904,plain,
( meet(X0,complement(X_31)) != complement(join(complement(X0),X_31))
| complement(join(complement(X0),X_31)) = meet(X0,complement(X_31)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X0,complement(X_31)))),bind(Y,$fot(complement(join(complement(X0),X_31))))]]) ).
cnf(refute_0_905,plain,
complement(join(complement(X0),X_31)) = meet(X0,complement(X_31)),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_31)),complement(join(complement(X0),X_31))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
complement(join(complement(X_95),X_96)) = meet(X_95,complement(X_96)),
inference(subst,[],[refute_0_905:[bind(X0,$fot(X_95)),bind(X_31,$fot(X_96))]]) ).
cnf(refute_0_907,plain,
join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) = join(meet(X_96,X_95),complement(join(complement(X_95),X_96))),
introduced(tautology,[refl,[$fot(join(meet(X_96,X_95),complement(join(complement(X_95),X_96))))]]) ).
cnf(refute_0_908,plain,
( complement(join(complement(X_95),X_96)) != meet(X_95,complement(X_96))
| join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) != join(meet(X_96,X_95),complement(join(complement(X_95),X_96)))
| join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) = join(meet(X_96,X_95),meet(X_95,complement(X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_96,X_95),complement(join(complement(X_95),X_96))),join(meet(X_96,X_95),complement(join(complement(X_95),X_96)))) ),[1,1],$fot(meet(X_95,complement(X_96)))]]) ).
cnf(refute_0_909,plain,
( complement(join(complement(X_95),X_96)) != meet(X_95,complement(X_96))
| join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) = join(meet(X_96,X_95),meet(X_95,complement(X_96))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X_95),complement(join(complement(X_95),X_96))),join(meet(X_96,X_95),complement(join(complement(X_95),X_96)))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) = join(meet(X_96,X_95),meet(X_95,complement(X_96))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_95),X_96)),meet(X_95,complement(X_96))) )],[refute_0_906,refute_0_909]) ).
cnf(refute_0_911,plain,
( X_95 != join(meet(X_96,X_95),complement(join(complement(X_95),X_96)))
| join(meet(X_96,X_95),complement(join(complement(X_95),X_96))) != join(meet(X_96,X_95),meet(X_95,complement(X_96)))
| X_95 = join(meet(X_96,X_95),meet(X_95,complement(X_96))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(meet(X_96,X_95),meet(X_95,complement(X_96)))) ),[0],$fot(join(meet(X_96,X_95),complement(join(complement(X_95),X_96))))]]) ).
cnf(refute_0_912,plain,
( X_95 != join(meet(X_96,X_95),complement(join(complement(X_95),X_96)))
| X_95 = join(meet(X_96,X_95),meet(X_95,complement(X_96))) ),
inference(resolve,[$cnf( $equal(join(meet(X_96,X_95),complement(join(complement(X_95),X_96))),join(meet(X_96,X_95),meet(X_95,complement(X_96)))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
X_95 = join(meet(X_96,X_95),meet(X_95,complement(X_96))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_96,X_95),complement(join(complement(X_95),X_96)))) )],[refute_0_881,refute_0_912]) ).
cnf(refute_0_914,plain,
converse(complement(X_125)) = join(meet(complement(converse(X_125)),converse(complement(X_125))),meet(converse(complement(X_125)),complement(complement(converse(X_125))))),
inference(subst,[],[refute_0_913:[bind(X_95,$fot(converse(complement(X_125)))),bind(X_96,$fot(complement(converse(X_125))))]]) ).
cnf(refute_0_915,plain,
X_95 = join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95)))))))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_95)),bind(X1,$fot(converse(join(zero,complement(converse(complement(X_95)))))))]]) ).
cnf(refute_0_916,plain,
converse(top) = join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(join(X_50,converse(complement(converse(X_50))))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(converse(complement(converse(X_50))))),bind(X_20,$fot(X_50))]]) ).
cnf(refute_0_917,plain,
converse(top) = join(X_50,converse(complement(converse(X_50)))),
inference(subst,[],[refute_0_320:[bind(X_6,$fot(X_50))]]) ).
cnf(refute_0_918,plain,
( converse(top) != join(X_50,converse(complement(converse(X_50))))
| join(X_50,converse(complement(converse(X_50)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_50,converse(complement(converse(X_50))))))]]) ).
cnf(refute_0_919,plain,
join(X_50,converse(complement(converse(X_50)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_50,converse(complement(converse(X_50))))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
( converse(top) != join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(join(X_50,converse(complement(converse(X_50)))))))))
| join(X_50,converse(complement(converse(X_50)))) != converse(top)
| converse(top) = join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(join(X_50,converse(complement(converse(X_50)))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).
cnf(refute_0_921,plain,
( converse(top) != join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(join(X_50,converse(complement(converse(X_50)))))))))
| converse(top) = join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(X_50,converse(complement(converse(X_50)))),converse(top)) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
converse(top) = join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(join(X_50,converse(complement(converse(X_50)))))))))) )],[refute_0_916,refute_0_921]) ).
cnf(refute_0_923,plain,
join(complement(converse(X_50)),zero) = join(zero,complement(converse(X_50))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(zero)),bind(X1,$fot(complement(converse(X_50))))]]) ).
cnf(refute_0_924,plain,
complement(converse(converse(top))) = complement(converse(converse(top))),
introduced(tautology,[refl,[$fot(complement(converse(converse(top))))]]) ).
cnf(refute_0_925,plain,
( complement(converse(converse(top))) != complement(converse(converse(top)))
| converse(converse(top)) != top
| complement(converse(converse(top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(top))),complement(converse(converse(top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_926,plain,
( converse(converse(top)) != top
| complement(converse(converse(top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(top))),complement(converse(converse(top)))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
complement(converse(converse(top))) = complement(top),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_413,refute_0_926]) ).
cnf(refute_0_928,plain,
( complement(converse(converse(top))) != complement(top)
| complement(top) != zero
| complement(converse(converse(top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(converse(top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_929,plain,
( complement(top) != zero
| complement(converse(converse(top))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(converse(top))),complement(top)) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
complement(converse(converse(top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_929]) ).
cnf(refute_0_931,plain,
join(complement(converse(X_50)),complement(converse(converse(top)))) = join(complement(converse(X_50)),complement(converse(converse(top)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_50)),complement(converse(converse(top)))))]]) ).
cnf(refute_0_932,plain,
( complement(converse(converse(top))) != zero
| join(complement(converse(X_50)),complement(converse(converse(top)))) != join(complement(converse(X_50)),complement(converse(converse(top))))
| join(complement(converse(X_50)),complement(converse(converse(top)))) = join(complement(converse(X_50)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_50)),complement(converse(converse(top)))),join(complement(converse(X_50)),complement(converse(converse(top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_933,plain,
( complement(converse(converse(top))) != zero
| join(complement(converse(X_50)),complement(converse(converse(top)))) = join(complement(converse(X_50)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_50)),complement(converse(converse(top)))),join(complement(converse(X_50)),complement(converse(converse(top))))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
join(complement(converse(X_50)),complement(converse(converse(top)))) = join(complement(converse(X_50)),zero),
inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_930,refute_0_933]) ).
cnf(refute_0_935,plain,
( join(complement(converse(X_50)),complement(converse(converse(top)))) != join(complement(converse(X_50)),zero)
| join(complement(converse(X_50)),zero) != join(zero,complement(converse(X_50)))
| join(complement(converse(X_50)),complement(converse(converse(top)))) = join(zero,complement(converse(X_50))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(X_50)),complement(converse(converse(top)))))),bind(Y,$fot(join(complement(converse(X_50)),zero))),bind(Z,$fot(join(zero,complement(converse(X_50)))))]]) ).
cnf(refute_0_936,plain,
( join(complement(converse(X_50)),zero) != join(zero,complement(converse(X_50)))
| join(complement(converse(X_50)),complement(converse(converse(top)))) = join(zero,complement(converse(X_50))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_50)),complement(converse(converse(top)))),join(complement(converse(X_50)),zero)) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
join(complement(converse(X_50)),complement(converse(converse(top)))) = join(zero,complement(converse(X_50))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_50)),zero),join(zero,complement(converse(X_50)))) )],[refute_0_923,refute_0_936]) ).
cnf(refute_0_938,plain,
converse(join(complement(converse(X_50)),complement(converse(converse(top))))) = converse(join(complement(converse(X_50)),complement(converse(converse(top))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(X_50)),complement(converse(converse(top))))))]]) ).
cnf(refute_0_939,plain,
( converse(join(complement(converse(X_50)),complement(converse(converse(top))))) != converse(join(complement(converse(X_50)),complement(converse(converse(top)))))
| join(complement(converse(X_50)),complement(converse(converse(top)))) != join(zero,complement(converse(X_50)))
| converse(join(complement(converse(X_50)),complement(converse(converse(top))))) = converse(join(zero,complement(converse(X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(X_50)),complement(converse(converse(top))))),converse(join(complement(converse(X_50)),complement(converse(converse(top)))))) ),[1,0],$fot(join(zero,complement(converse(X_50))))]]) ).
cnf(refute_0_940,plain,
( join(complement(converse(X_50)),complement(converse(converse(top)))) != join(zero,complement(converse(X_50)))
| converse(join(complement(converse(X_50)),complement(converse(converse(top))))) = converse(join(zero,complement(converse(X_50)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_50)),complement(converse(converse(top))))),converse(join(complement(converse(X_50)),complement(converse(converse(top)))))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
converse(join(complement(converse(X_50)),complement(converse(converse(top))))) = converse(join(zero,complement(converse(X_50)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_50)),complement(converse(converse(top)))),join(zero,complement(converse(X_50)))) )],[refute_0_937,refute_0_940]) ).
cnf(refute_0_942,plain,
join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) = converse(join(complement(converse(X_50)),complement(converse(converse(top))))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(converse(X_50)))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_943,plain,
( converse(join(complement(converse(X_50)),complement(converse(converse(top))))) != converse(join(zero,complement(converse(X_50))))
| join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) != converse(join(complement(converse(X_50)),complement(converse(converse(top)))))
| join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) = converse(join(zero,complement(converse(X_50)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(X_50)),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(zero,complement(converse(X_50))))))]]) ).
cnf(refute_0_944,plain,
( converse(join(complement(converse(X_50)),complement(converse(converse(top))))) != converse(join(zero,complement(converse(X_50))))
| join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) = converse(join(zero,complement(converse(X_50)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))),converse(join(complement(converse(X_50)),complement(converse(converse(top)))))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) = converse(join(zero,complement(converse(X_50)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_50)),complement(converse(converse(top))))),converse(join(zero,complement(converse(X_50))))) )],[refute_0_941,refute_0_944]) ).
cnf(refute_0_946,plain,
join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) = join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))),
introduced(tautology,[refl,[$fot(join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_947,plain,
( join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) != join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))))
| join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) != converse(join(zero,complement(converse(X_50))))
| join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))),join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_50)))))]]) ).
cnf(refute_0_948,plain,
( join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))) != converse(join(zero,complement(converse(X_50))))
| join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
inference(resolve,[$cnf( $equal(join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))),join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) = join(X_50,converse(join(zero,complement(converse(X_50))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))),converse(join(zero,complement(converse(X_50))))) )],[refute_0_945,refute_0_948]) ).
cnf(refute_0_950,plain,
join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) = join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(converse(complement(converse(X_50))))),bind(X_20,$fot(X_50)),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_951,plain,
( join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) != join(X_50,converse(join(zero,complement(converse(X_50)))))
| join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) != join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))))
| join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(X_50,converse(join(zero,complement(converse(X_50)))))))]]) ).
cnf(refute_0_952,plain,
( join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))) != join(X_50,converse(join(zero,complement(converse(X_50)))))
| join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))),join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top))))))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) = join(X_50,converse(join(zero,complement(converse(X_50))))),
inference(resolve,[$cnf( $equal(join(X_50,join(converse(complement(converse(X_50))),converse(complement(converse(converse(top)))))),join(X_50,converse(join(zero,complement(converse(X_50)))))) )],[refute_0_949,refute_0_952]) ).
cnf(refute_0_954,plain,
( converse(top) != join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top))))))
| join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))) != join(X_50,converse(join(zero,complement(converse(X_50)))))
| converse(top) = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_50,converse(join(zero,complement(converse(X_50)))))) ),[0],$fot(join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_955,plain,
( converse(top) != join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top))))))
| converse(top) = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top)))))),join(X_50,converse(join(zero,complement(converse(X_50)))))) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
converse(top) = join(X_50,converse(join(zero,complement(converse(X_50))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(complement(converse(X_50))),join(X_50,converse(complement(converse(converse(top))))))) )],[refute_0_922,refute_0_955]) ).
cnf(refute_0_957,plain,
( converse(top) != join(X_50,converse(join(zero,complement(converse(X_50)))))
| converse(top) != top
| top = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_50,converse(join(zero,complement(converse(X_50)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_958,plain,
( converse(top) != join(X_50,converse(join(zero,complement(converse(X_50)))))
| top = join(X_50,converse(join(zero,complement(converse(X_50))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_957]) ).
cnf(refute_0_959,plain,
top = join(X_50,converse(join(zero,complement(converse(X_50))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_50,converse(join(zero,complement(converse(X_50)))))) )],[refute_0_956,refute_0_958]) ).
cnf(refute_0_960,plain,
top = join(complement(X_95),converse(join(zero,complement(converse(complement(X_95)))))),
inference(subst,[],[refute_0_959:[bind(X_50,$fot(complement(X_95)))]]) ).
cnf(refute_0_961,plain,
( top != join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))
| join(complement(X_95),converse(join(zero,complement(converse(complement(X_95)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))))]]) ).
cnf(refute_0_962,plain,
join(complement(X_95),converse(join(zero,complement(converse(complement(X_95)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
( X_95 != join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))))
| join(complement(X_95),converse(join(zero,complement(converse(complement(X_95)))))) != top
| X_95 = join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_964,plain,
( X_95 != join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))))
| X_95 = join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95)))))),top) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
X_95 = join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(join(complement(X_95),converse(join(zero,complement(converse(complement(X_95))))))))) )],[refute_0_915,refute_0_964]) ).
cnf(refute_0_966,plain,
join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))))]]) ).
cnf(refute_0_967,plain,
( complement(top) != zero
| join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) != join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_968,plain,
( complement(top) != zero
| join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_968]) ).
cnf(refute_0_970,plain,
join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) = join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))))]]) ).
cnf(refute_0_971,plain,
( join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) != join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) != join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))))),bind(Z,$fot(join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))))]]) ).
cnf(refute_0_972,plain,
( join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) != join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)),join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
( X_95 != join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top))
| join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)) != join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| X_95 = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) ),[0],$fot(join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)))]]) ).
cnf(refute_0_975,plain,
( X_95 != join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top))
| X_95 = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top)),join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
X_95 = join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),complement(top))) )],[refute_0_965,refute_0_975]) ).
cnf(refute_0_977,plain,
join(zero,complement(converse(complement(X_95)))) = complement(converse(complement(X_95))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(converse(complement(X_95)))))]]) ).
cnf(refute_0_978,plain,
converse(join(zero,complement(converse(complement(X_95))))) = converse(join(zero,complement(converse(complement(X_95))))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(converse(complement(X_95))))))]]) ).
cnf(refute_0_979,plain,
( converse(join(zero,complement(converse(complement(X_95))))) != converse(join(zero,complement(converse(complement(X_95)))))
| join(zero,complement(converse(complement(X_95)))) != complement(converse(complement(X_95)))
| converse(join(zero,complement(converse(complement(X_95))))) = converse(complement(converse(complement(X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(converse(complement(X_95))))),converse(join(zero,complement(converse(complement(X_95)))))) ),[1,0],$fot(complement(converse(complement(X_95))))]]) ).
cnf(refute_0_980,plain,
( join(zero,complement(converse(complement(X_95)))) != complement(converse(complement(X_95)))
| converse(join(zero,complement(converse(complement(X_95))))) = converse(complement(converse(complement(X_95)))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(complement(X_95))))),converse(join(zero,complement(converse(complement(X_95)))))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
converse(join(zero,complement(converse(complement(X_95))))) = converse(complement(converse(complement(X_95)))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(complement(X_95)))),complement(converse(complement(X_95)))) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) = meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),
introduced(tautology,[refl,[$fot(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))]]) ).
cnf(refute_0_983,plain,
( converse(join(zero,complement(converse(complement(X_95))))) != converse(complement(converse(complement(X_95))))
| meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) != meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))
| meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) = meet(X_95,converse(complement(converse(complement(X_95))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) ),[1,1],$fot(converse(complement(converse(complement(X_95)))))]]) ).
cnf(refute_0_984,plain,
( converse(join(zero,complement(converse(complement(X_95))))) != converse(complement(converse(complement(X_95))))
| meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) = meet(X_95,converse(complement(converse(complement(X_95))))) ),
inference(resolve,[$cnf( $equal(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) = meet(X_95,converse(complement(converse(complement(X_95))))),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(complement(X_95))))),converse(complement(converse(complement(X_95))))) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))))]]) ).
cnf(refute_0_987,plain,
( join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) != meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))
| meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) != meet(X_95,converse(complement(converse(complement(X_95)))))
| join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = meet(X_95,converse(complement(converse(complement(X_95))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))))),bind(Y,$fot(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))),bind(Z,$fot(meet(X_95,converse(complement(converse(complement(X_95)))))))]]) ).
cnf(refute_0_988,plain,
( meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))) != meet(X_95,converse(complement(converse(complement(X_95)))))
| join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = meet(X_95,converse(complement(converse(complement(X_95))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) = meet(X_95,converse(complement(converse(complement(X_95))))),
inference(resolve,[$cnf( $equal(meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))),meet(X_95,converse(complement(converse(complement(X_95)))))) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
( X_95 != join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))) != meet(X_95,converse(complement(converse(complement(X_95)))))
| X_95 = meet(X_95,converse(complement(converse(complement(X_95))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,meet(X_95,converse(complement(converse(complement(X_95)))))) ),[0],$fot(join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))))]]) ).
cnf(refute_0_991,plain,
( X_95 != join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))
| X_95 = meet(X_95,converse(complement(converse(complement(X_95))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95))))))),meet(X_95,converse(complement(converse(complement(X_95)))))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
X_95 = meet(X_95,converse(complement(converse(complement(X_95))))),
inference(resolve,[$cnf( $equal(X_95,join(zero,meet(X_95,converse(join(zero,complement(converse(complement(X_95)))))))) )],[refute_0_976,refute_0_991]) ).
cnf(refute_0_993,plain,
complement(X_105) = meet(complement(X_105),converse(complement(converse(complement(complement(X_105)))))),
inference(subst,[],[refute_0_992:[bind(X_95,$fot(complement(X_105)))]]) ).
cnf(refute_0_994,plain,
X_105 = complement(complement(X_105)),
inference(subst,[],[refute_0_290:[bind(X1,$fot(X_105))]]) ).
cnf(refute_0_995,plain,
( X_105 != complement(complement(X_105))
| complement(complement(X_105)) = X_105 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_105)),bind(Y,$fot(complement(complement(X_105))))]]) ).
cnf(refute_0_996,plain,
complement(complement(X_105)) = X_105,
inference(resolve,[$cnf( $equal(X_105,complement(complement(X_105))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
( complement(X_105) != meet(complement(X_105),converse(complement(converse(complement(complement(X_105))))))
| complement(complement(X_105)) != X_105
| complement(X_105) = meet(complement(X_105),converse(complement(converse(X_105)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_105),meet(complement(X_105),converse(complement(converse(complement(complement(X_105))))))) ),[1,1,0,0,0],$fot(X_105)]]) ).
cnf(refute_0_998,plain,
( complement(X_105) != meet(complement(X_105),converse(complement(converse(complement(complement(X_105))))))
| complement(X_105) = meet(complement(X_105),converse(complement(converse(X_105)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_105)),X_105) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
complement(X_105) = meet(complement(X_105),converse(complement(converse(X_105)))),
inference(resolve,[$cnf( $equal(complement(X_105),meet(complement(X_105),converse(complement(converse(complement(complement(X_105))))))) )],[refute_0_993,refute_0_998]) ).
cnf(refute_0_1000,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
inference(subst,[],[refute_0_999:[bind(X_105,$fot(converse(X0)))]]) ).
cnf(refute_0_1001,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_1002,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( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_1001]) ).
cnf(refute_0_1003,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_1000,refute_0_1002]) ).
cnf(refute_0_1004,plain,
complement(converse(X_125)) = meet(complement(converse(X_125)),converse(complement(X_125))),
inference(subst,[],[refute_0_1003:[bind(X0,$fot(X_125))]]) ).
cnf(refute_0_1005,plain,
( complement(converse(X_125)) != meet(complement(converse(X_125)),converse(complement(X_125)))
| meet(complement(converse(X_125)),converse(complement(X_125))) = complement(converse(X_125)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(X_125)))),bind(Y,$fot(meet(complement(converse(X_125)),converse(complement(X_125)))))]]) ).
cnf(refute_0_1006,plain,
meet(complement(converse(X_125)),converse(complement(X_125))) = complement(converse(X_125)),
inference(resolve,[$cnf( $equal(complement(converse(X_125)),meet(complement(converse(X_125)),converse(complement(X_125)))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
( converse(complement(X_125)) != join(meet(complement(converse(X_125)),converse(complement(X_125))),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))
| meet(complement(converse(X_125)),converse(complement(X_125))) != complement(converse(X_125))
| converse(complement(X_125)) = join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_125)),join(meet(complement(converse(X_125)),converse(complement(X_125))),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))) ),[1,0],$fot(complement(converse(X_125)))]]) ).
cnf(refute_0_1008,plain,
( converse(complement(X_125)) != join(meet(complement(converse(X_125)),converse(complement(X_125))),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))
| converse(complement(X_125)) = join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_125)),converse(complement(X_125))),complement(converse(X_125))) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
converse(complement(X_125)) = join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))),
inference(resolve,[$cnf( $equal(converse(complement(X_125)),join(meet(complement(converse(X_125)),converse(complement(X_125))),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))) )],[refute_0_914,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( meet(X_27,X_28) != meet(X_28,X_27)
| meet(X_28,X_27) = meet(X_27,X_28) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_27,X_28))),bind(Y,$fot(meet(X_28,X_27)))]]) ).
cnf(refute_0_1011,plain,
meet(X_28,X_27) = meet(X_27,X_28),
inference(resolve,[$cnf( $equal(meet(X_27,X_28),meet(X_28,X_27)) )],[refute_0_241,refute_0_1010]) ).
cnf(refute_0_1012,plain,
meet(converse(complement(X_125)),converse(X_125)) = meet(converse(X_125),converse(complement(X_125))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(converse(X_125))),bind(X_28,$fot(converse(complement(X_125))))]]) ).
cnf(refute_0_1013,plain,
complement(complement(converse(X_125))) = converse(X_125),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(X_125)))]]) ).
cnf(refute_0_1014,plain,
meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(complement(X_125)),complement(complement(converse(X_125)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(X_125)),complement(complement(converse(X_125)))))]]) ).
cnf(refute_0_1015,plain,
( complement(complement(converse(X_125))) != converse(X_125)
| meet(converse(complement(X_125)),complement(complement(converse(X_125)))) != meet(converse(complement(X_125)),complement(complement(converse(X_125))))
| meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(complement(X_125)),converse(X_125)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(X_125)),complement(complement(converse(X_125)))),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) ),[1,1],$fot(converse(X_125))]]) ).
cnf(refute_0_1016,plain,
( complement(complement(converse(X_125))) != converse(X_125)
| meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(complement(X_125)),converse(X_125)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_125)),complement(complement(converse(X_125)))),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(complement(X_125)),converse(X_125)),
inference(resolve,[$cnf( $equal(complement(complement(converse(X_125))),converse(X_125)) )],[refute_0_1013,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( meet(converse(complement(X_125)),complement(complement(converse(X_125)))) != meet(converse(complement(X_125)),converse(X_125))
| meet(converse(complement(X_125)),converse(X_125)) != meet(converse(X_125),converse(complement(X_125)))
| meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(X_125),converse(complement(X_125))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(X_125)),complement(complement(converse(X_125)))))),bind(Y,$fot(meet(converse(complement(X_125)),converse(X_125)))),bind(Z,$fot(meet(converse(X_125),converse(complement(X_125)))))]]) ).
cnf(refute_0_1019,plain,
( meet(converse(complement(X_125)),converse(X_125)) != meet(converse(X_125),converse(complement(X_125)))
| meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(X_125),converse(complement(X_125))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_125)),complement(complement(converse(X_125)))),meet(converse(complement(X_125)),converse(X_125))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
meet(converse(complement(X_125)),complement(complement(converse(X_125)))) = meet(converse(X_125),converse(complement(X_125))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_125)),converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) )],[refute_0_1012,refute_0_1019]) ).
cnf(refute_0_1021,plain,
join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) = join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))))]]) ).
cnf(refute_0_1022,plain,
( join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) != join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))
| meet(converse(complement(X_125)),complement(complement(converse(X_125)))) != meet(converse(X_125),converse(complement(X_125)))
| join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))),join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))) ),[1,1],$fot(meet(converse(X_125),converse(complement(X_125))))]]) ).
cnf(refute_0_1023,plain,
( meet(converse(complement(X_125)),complement(complement(converse(X_125)))) != meet(converse(X_125),converse(complement(X_125)))
| join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))),join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_125)),complement(complement(converse(X_125)))),meet(converse(X_125),converse(complement(X_125)))) )],[refute_0_1020,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( converse(complement(X_125)) != join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))
| join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))) != join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))
| converse(complement(X_125)) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_125)),join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))) ),[0],$fot(join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))))]]) ).
cnf(refute_0_1026,plain,
( converse(complement(X_125)) != join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))
| converse(complement(X_125)) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125))))),join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
converse(complement(X_125)) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),
inference(resolve,[$cnf( $equal(converse(complement(X_125)),join(complement(converse(X_125)),meet(converse(complement(X_125)),complement(complement(converse(X_125)))))) )],[refute_0_1009,refute_0_1026]) ).
cnf(refute_0_1028,plain,
join(zero,complement(converse(X_125))) = complement(converse(X_125)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(converse(X_125))))]]) ).
cnf(refute_0_1029,plain,
join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_19,join(X_20,converse(meet(zero,converse(meet(X_20,zero)))))),
inference(subst,[],[refute_0_372:[bind(X_5,$fot(meet(zero,converse(meet(X_20,zero)))))]]) ).
cnf(refute_0_1030,plain,
join(X0,join(meet(X0,zero),X2)) = join(join(X0,meet(X0,zero)),X2),
inference(subst,[],[refute_0_46:[bind(X1,$fot(meet(X0,zero)))]]) ).
cnf(refute_0_1031,plain,
join(X_96,complement(X_95)) = join(complement(X_95),X_96),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_96)),bind(X1,$fot(complement(X_95)))]]) ).
cnf(refute_0_1032,plain,
( join(X_96,complement(X_95)) != join(complement(X_95),X_96)
| join(complement(X_95),X_96) = join(X_96,complement(X_95)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_96,complement(X_95)))),bind(Y,$fot(join(complement(X_95),X_96)))]]) ).
cnf(refute_0_1033,plain,
join(complement(X_95),X_96) = join(X_96,complement(X_95)),
inference(resolve,[$cnf( $equal(join(X_96,complement(X_95)),join(complement(X_95),X_96)) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( X_95 != join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))
| join(complement(X_95),X_96) != join(X_96,complement(X_95))
| X_95 = join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))) ),[1,1,0],$fot(join(X_96,complement(X_95)))]]) ).
cnf(refute_0_1035,plain,
( X_95 != join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))
| X_95 = join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_95),X_96),join(X_96,complement(X_95))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
X_95 = join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))) )],[refute_0_875,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( meet(complement(X_31),X1) != complement(join(X_31,complement(X1)))
| complement(join(X_31,complement(X1))) = meet(complement(X_31),X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(X_31),X1))),bind(Y,$fot(complement(join(X_31,complement(X1)))))]]) ).
cnf(refute_0_1038,plain,
complement(join(X_31,complement(X1))) = meet(complement(X_31),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_31),X1),complement(join(X_31,complement(X1)))) )],[refute_0_266,refute_0_1037]) ).
cnf(refute_0_1039,plain,
complement(join(X_96,complement(X_95))) = meet(complement(X_96),X_95),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(X_95)),bind(X_31,$fot(X_96))]]) ).
cnf(refute_0_1040,plain,
join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) = join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))),
introduced(tautology,[refl,[$fot(join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))))]]) ).
cnf(refute_0_1041,plain,
( complement(join(X_96,complement(X_95))) != meet(complement(X_96),X_95)
| join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) != join(meet(X_95,X_96),complement(join(X_96,complement(X_95))))
| join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) = join(meet(X_95,X_96),meet(complement(X_96),X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))),join(meet(X_95,X_96),complement(join(X_96,complement(X_95))))) ),[1,1],$fot(meet(complement(X_96),X_95))]]) ).
cnf(refute_0_1042,plain,
( complement(join(X_96,complement(X_95))) != meet(complement(X_96),X_95)
| join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) = join(meet(X_95,X_96),meet(complement(X_96),X_95)) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))),join(meet(X_95,X_96),complement(join(X_96,complement(X_95))))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) = join(meet(X_95,X_96),meet(complement(X_96),X_95)),
inference(resolve,[$cnf( $equal(complement(join(X_96,complement(X_95))),meet(complement(X_96),X_95)) )],[refute_0_1039,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( X_95 != join(meet(X_95,X_96),complement(join(X_96,complement(X_95))))
| join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))) != join(meet(X_95,X_96),meet(complement(X_96),X_95))
| X_95 = join(meet(X_95,X_96),meet(complement(X_96),X_95)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(meet(X_95,X_96),meet(complement(X_96),X_95))) ),[0],$fot(join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))))]]) ).
cnf(refute_0_1045,plain,
( X_95 != join(meet(X_95,X_96),complement(join(X_96,complement(X_95))))
| X_95 = join(meet(X_95,X_96),meet(complement(X_96),X_95)) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),complement(join(X_96,complement(X_95)))),join(meet(X_95,X_96),meet(complement(X_96),X_95))) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
X_95 = join(meet(X_95,X_96),meet(complement(X_96),X_95)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X_96),complement(join(X_96,complement(X_95))))) )],[refute_0_1036,refute_0_1045]) ).
cnf(refute_0_1047,plain,
X_108 = join(meet(X_108,zero),meet(complement(zero),X_108)),
inference(subst,[],[refute_0_1046:[bind(X_95,$fot(X_108)),bind(X_96,$fot(zero))]]) ).
cnf(refute_0_1048,plain,
( X_108 != join(meet(X_108,zero),meet(complement(zero),X_108))
| complement(zero) != top
| X_108 = join(meet(X_108,zero),meet(top,X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(X_108,join(meet(X_108,zero),meet(complement(zero),X_108))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1049,plain,
( X_108 != join(meet(X_108,zero),meet(complement(zero),X_108))
| X_108 = join(meet(X_108,zero),meet(top,X_108)) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_1048]) ).
cnf(refute_0_1050,plain,
X_108 = join(meet(X_108,zero),meet(top,X_108)),
inference(resolve,[$cnf( $equal(X_108,join(meet(X_108,zero),meet(complement(zero),X_108))) )],[refute_0_1047,refute_0_1049]) ).
cnf(refute_0_1051,plain,
join(meet(X_108,zero),X_108) = join(X_108,meet(X_108,zero)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X_108)),bind(X1,$fot(meet(X_108,zero)))]]) ).
cnf(refute_0_1052,plain,
meet(top,X_108) = X_108,
inference(subst,[],[refute_0_253:[bind(X_97,$fot(X_108))]]) ).
cnf(refute_0_1053,plain,
join(meet(X_108,zero),meet(top,X_108)) = join(meet(X_108,zero),meet(top,X_108)),
introduced(tautology,[refl,[$fot(join(meet(X_108,zero),meet(top,X_108)))]]) ).
cnf(refute_0_1054,plain,
( join(meet(X_108,zero),meet(top,X_108)) != join(meet(X_108,zero),meet(top,X_108))
| meet(top,X_108) != X_108
| join(meet(X_108,zero),meet(top,X_108)) = join(meet(X_108,zero),X_108) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_108,zero),meet(top,X_108)),join(meet(X_108,zero),meet(top,X_108))) ),[1,1],$fot(X_108)]]) ).
cnf(refute_0_1055,plain,
( meet(top,X_108) != X_108
| join(meet(X_108,zero),meet(top,X_108)) = join(meet(X_108,zero),X_108) ),
inference(resolve,[$cnf( $equal(join(meet(X_108,zero),meet(top,X_108)),join(meet(X_108,zero),meet(top,X_108))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(meet(X_108,zero),meet(top,X_108)) = join(meet(X_108,zero),X_108),
inference(resolve,[$cnf( $equal(meet(top,X_108),X_108) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
( join(meet(X_108,zero),X_108) != join(X_108,meet(X_108,zero))
| join(meet(X_108,zero),meet(top,X_108)) != join(meet(X_108,zero),X_108)
| join(meet(X_108,zero),meet(top,X_108)) = join(X_108,meet(X_108,zero)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_108,zero),meet(top,X_108)))),bind(Y,$fot(join(meet(X_108,zero),X_108))),bind(Z,$fot(join(X_108,meet(X_108,zero))))]]) ).
cnf(refute_0_1058,plain,
( join(meet(X_108,zero),X_108) != join(X_108,meet(X_108,zero))
| join(meet(X_108,zero),meet(top,X_108)) = join(X_108,meet(X_108,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_108,zero),meet(top,X_108)),join(meet(X_108,zero),X_108)) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
join(meet(X_108,zero),meet(top,X_108)) = join(X_108,meet(X_108,zero)),
inference(resolve,[$cnf( $equal(join(meet(X_108,zero),X_108),join(X_108,meet(X_108,zero))) )],[refute_0_1051,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( X_108 != join(meet(X_108,zero),meet(top,X_108))
| join(meet(X_108,zero),meet(top,X_108)) != join(X_108,meet(X_108,zero))
| X_108 = join(X_108,meet(X_108,zero)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_108,join(X_108,meet(X_108,zero))) ),[0],$fot(join(meet(X_108,zero),meet(top,X_108)))]]) ).
cnf(refute_0_1061,plain,
( X_108 != join(meet(X_108,zero),meet(top,X_108))
| X_108 = join(X_108,meet(X_108,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_108,zero),meet(top,X_108)),join(X_108,meet(X_108,zero))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
X_108 = join(X_108,meet(X_108,zero)),
inference(resolve,[$cnf( $equal(X_108,join(meet(X_108,zero),meet(top,X_108))) )],[refute_0_1050,refute_0_1061]) ).
cnf(refute_0_1063,plain,
X0 = join(X0,meet(X0,zero)),
inference(subst,[],[refute_0_1062:[bind(X_108,$fot(X0))]]) ).
cnf(refute_0_1064,plain,
( X0 != join(X0,meet(X0,zero))
| join(X0,meet(X0,zero)) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(join(X0,meet(X0,zero))))]]) ).
cnf(refute_0_1065,plain,
join(X0,meet(X0,zero)) = X0,
inference(resolve,[$cnf( $equal(X0,join(X0,meet(X0,zero))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( join(X0,join(meet(X0,zero),X2)) != join(join(X0,meet(X0,zero)),X2)
| join(X0,meet(X0,zero)) != X0
| join(X0,join(meet(X0,zero),X2)) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,zero),X2)),join(join(X0,meet(X0,zero)),X2)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1067,plain,
( join(X0,join(meet(X0,zero),X2)) != join(join(X0,meet(X0,zero)),X2)
| join(X0,join(meet(X0,zero),X2)) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,meet(X0,zero)),X0) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
join(X0,join(meet(X0,zero),X2)) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,zero),X2)),join(join(X0,meet(X0,zero)),X2)) )],[refute_0_1030,refute_0_1067]) ).
cnf(refute_0_1069,plain,
join(X_192,join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))) = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))),
inference(subst,[],[refute_0_1068:[bind(X0,$fot(X_192)),bind(X2,$fot(converse(meet(zero,converse(meet(X_192,zero))))))]]) ).
cnf(refute_0_1070,plain,
converse(join(converse(X0),meet(zero,converse(X0)))) = join(X0,converse(meet(zero,converse(X0)))),
inference(subst,[],[refute_0_272:[bind(X_5,$fot(meet(zero,converse(X0))))]]) ).
cnf(refute_0_1071,plain,
X_108 = join(meet(X_108,top),meet(complement(top),X_108)),
inference(subst,[],[refute_0_1046:[bind(X_95,$fot(X_108)),bind(X_96,$fot(top))]]) ).
cnf(refute_0_1072,plain,
( X_108 != join(meet(X_108,top),meet(complement(top),X_108))
| complement(top) != zero
| X_108 = join(meet(X_108,top),meet(zero,X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(X_108,join(meet(X_108,top),meet(complement(top),X_108))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1073,plain,
( X_108 != join(meet(X_108,top),meet(complement(top),X_108))
| X_108 = join(meet(X_108,top),meet(zero,X_108)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_1072]) ).
cnf(refute_0_1074,plain,
X_108 = join(meet(X_108,top),meet(zero,X_108)),
inference(resolve,[$cnf( $equal(X_108,join(meet(X_108,top),meet(complement(top),X_108))) )],[refute_0_1071,refute_0_1073]) ).
cnf(refute_0_1075,plain,
join(zero,meet(X_95,top)) = meet(X_95,top),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(X_95,top)))]]) ).
cnf(refute_0_1076,plain,
( X_95 != join(zero,meet(X_95,top))
| join(zero,meet(X_95,top)) != meet(X_95,top)
| X_95 = meet(X_95,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,meet(X_95,top)) ),[0],$fot(join(zero,meet(X_95,top)))]]) ).
cnf(refute_0_1077,plain,
( X_95 != join(zero,meet(X_95,top))
| X_95 = meet(X_95,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_95,top)),meet(X_95,top)) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
X_95 = meet(X_95,top),
inference(resolve,[$cnf( $equal(X_95,join(zero,meet(X_95,top))) )],[refute_0_215,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( X_95 != meet(X_95,top)
| meet(X_95,top) = X_95 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_95)),bind(Y,$fot(meet(X_95,top)))]]) ).
cnf(refute_0_1080,plain,
meet(X_95,top) = X_95,
inference(resolve,[$cnf( $equal(X_95,meet(X_95,top)) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
meet(X_108,top) = X_108,
inference(subst,[],[refute_0_1080:[bind(X_95,$fot(X_108))]]) ).
cnf(refute_0_1082,plain,
join(meet(X_108,top),meet(zero,X_108)) = join(meet(X_108,top),meet(zero,X_108)),
introduced(tautology,[refl,[$fot(join(meet(X_108,top),meet(zero,X_108)))]]) ).
cnf(refute_0_1083,plain,
( join(meet(X_108,top),meet(zero,X_108)) != join(meet(X_108,top),meet(zero,X_108))
| meet(X_108,top) != X_108
| join(meet(X_108,top),meet(zero,X_108)) = join(X_108,meet(zero,X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_108,top),meet(zero,X_108)),join(meet(X_108,top),meet(zero,X_108))) ),[1,0],$fot(X_108)]]) ).
cnf(refute_0_1084,plain,
( meet(X_108,top) != X_108
| join(meet(X_108,top),meet(zero,X_108)) = join(X_108,meet(zero,X_108)) ),
inference(resolve,[$cnf( $equal(join(meet(X_108,top),meet(zero,X_108)),join(meet(X_108,top),meet(zero,X_108))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
join(meet(X_108,top),meet(zero,X_108)) = join(X_108,meet(zero,X_108)),
inference(resolve,[$cnf( $equal(meet(X_108,top),X_108) )],[refute_0_1081,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( X_108 != join(meet(X_108,top),meet(zero,X_108))
| join(meet(X_108,top),meet(zero,X_108)) != join(X_108,meet(zero,X_108))
| X_108 = join(X_108,meet(zero,X_108)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_108,join(X_108,meet(zero,X_108))) ),[0],$fot(join(meet(X_108,top),meet(zero,X_108)))]]) ).
cnf(refute_0_1087,plain,
( X_108 != join(meet(X_108,top),meet(zero,X_108))
| X_108 = join(X_108,meet(zero,X_108)) ),
inference(resolve,[$cnf( $equal(join(meet(X_108,top),meet(zero,X_108)),join(X_108,meet(zero,X_108))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
X_108 = join(X_108,meet(zero,X_108)),
inference(resolve,[$cnf( $equal(X_108,join(meet(X_108,top),meet(zero,X_108))) )],[refute_0_1074,refute_0_1087]) ).
cnf(refute_0_1089,plain,
converse(X0) = join(converse(X0),meet(zero,converse(X0))),
inference(subst,[],[refute_0_1088:[bind(X_108,$fot(converse(X0)))]]) ).
cnf(refute_0_1090,plain,
( converse(X0) != join(converse(X0),meet(zero,converse(X0)))
| join(converse(X0),meet(zero,converse(X0))) = converse(X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(X0))),bind(Y,$fot(join(converse(X0),meet(zero,converse(X0)))))]]) ).
cnf(refute_0_1091,plain,
join(converse(X0),meet(zero,converse(X0))) = converse(X0),
inference(resolve,[$cnf( $equal(converse(X0),join(converse(X0),meet(zero,converse(X0)))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( converse(join(converse(X0),meet(zero,converse(X0)))) != join(X0,converse(meet(zero,converse(X0))))
| join(converse(X0),meet(zero,converse(X0))) != converse(X0)
| converse(converse(X0)) = join(X0,converse(meet(zero,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),meet(zero,converse(X0)))),join(X0,converse(meet(zero,converse(X0))))) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_1093,plain,
( converse(join(converse(X0),meet(zero,converse(X0)))) != join(X0,converse(meet(zero,converse(X0))))
| converse(converse(X0)) = join(X0,converse(meet(zero,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),meet(zero,converse(X0))),converse(X0)) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
converse(converse(X0)) = join(X0,converse(meet(zero,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),meet(zero,converse(X0)))),join(X0,converse(meet(zero,converse(X0))))) )],[refute_0_1070,refute_0_1093]) ).
cnf(refute_0_1095,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(X0,converse(meet(zero,converse(X0))))
| X0 = join(X0,converse(meet(zero,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(X0,converse(meet(zero,converse(X0))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_1096,plain,
( converse(converse(X0)) != join(X0,converse(meet(zero,converse(X0))))
| X0 = join(X0,converse(meet(zero,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_1095]) ).
cnf(refute_0_1097,plain,
X0 = join(X0,converse(meet(zero,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(X0,converse(meet(zero,converse(X0))))) )],[refute_0_1094,refute_0_1096]) ).
cnf(refute_0_1098,plain,
meet(X_192,zero) = join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero))))),
inference(subst,[],[refute_0_1097:[bind(X0,$fot(meet(X_192,zero)))]]) ).
cnf(refute_0_1099,plain,
( meet(X_192,zero) != join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))
| join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero))))) = meet(X_192,zero) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_192,zero))),bind(Y,$fot(join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))))]]) ).
cnf(refute_0_1100,plain,
join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero))))) = meet(X_192,zero),
inference(resolve,[$cnf( $equal(meet(X_192,zero),join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( join(X_192,join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))) != join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))
| join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero))))) != meet(X_192,zero)
| join(X_192,meet(X_192,zero)) = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_192,join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))),join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))) ),[0,1],$fot(meet(X_192,zero))]]) ).
cnf(refute_0_1102,plain,
( join(X_192,join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))) != join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))
| join(X_192,meet(X_192,zero)) = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero))))),meet(X_192,zero)) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
join(X_192,meet(X_192,zero)) = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))),
inference(resolve,[$cnf( $equal(join(X_192,join(meet(X_192,zero),converse(meet(zero,converse(meet(X_192,zero)))))),join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))) )],[refute_0_1069,refute_0_1102]) ).
cnf(refute_0_1104,plain,
( X_108 != join(X_108,meet(X_108,zero))
| join(X_108,meet(X_108,zero)) = X_108 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_108)),bind(Y,$fot(join(X_108,meet(X_108,zero))))]]) ).
cnf(refute_0_1105,plain,
join(X_108,meet(X_108,zero)) = X_108,
inference(resolve,[$cnf( $equal(X_108,join(X_108,meet(X_108,zero))) )],[refute_0_1062,refute_0_1104]) ).
cnf(refute_0_1106,plain,
join(X_192,meet(X_192,zero)) = X_192,
inference(subst,[],[refute_0_1105:[bind(X_108,$fot(X_192))]]) ).
cnf(refute_0_1107,plain,
( join(X_192,meet(X_192,zero)) != X_192
| join(X_192,meet(X_192,zero)) != join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))
| X_192 = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_192,meet(X_192,zero)),join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))) ),[0],$fot(X_192)]]) ).
cnf(refute_0_1108,plain,
( join(X_192,meet(X_192,zero)) != join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))
| X_192 = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))) ),
inference(resolve,[$cnf( $equal(join(X_192,meet(X_192,zero)),X_192) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
X_192 = join(X_192,converse(meet(zero,converse(meet(X_192,zero))))),
inference(resolve,[$cnf( $equal(join(X_192,meet(X_192,zero)),join(X_192,converse(meet(zero,converse(meet(X_192,zero)))))) )],[refute_0_1103,refute_0_1108]) ).
cnf(refute_0_1110,plain,
X_20 = join(X_20,converse(meet(zero,converse(meet(X_20,zero))))),
inference(subst,[],[refute_0_1109:[bind(X_192,$fot(X_20))]]) ).
cnf(refute_0_1111,plain,
( X_20 != join(X_20,converse(meet(zero,converse(meet(X_20,zero)))))
| join(X_20,converse(meet(zero,converse(meet(X_20,zero))))) = X_20 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_20)),bind(Y,$fot(join(X_20,converse(meet(zero,converse(meet(X_20,zero)))))))]]) ).
cnf(refute_0_1112,plain,
join(X_20,converse(meet(zero,converse(meet(X_20,zero))))) = X_20,
inference(resolve,[$cnf( $equal(X_20,join(X_20,converse(meet(zero,converse(meet(X_20,zero)))))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( join(X_20,converse(meet(zero,converse(meet(X_20,zero))))) != X_20
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) != join(X_19,join(X_20,converse(meet(zero,converse(meet(X_20,zero))))))
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_19,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_19,join(X_20,converse(meet(zero,converse(meet(X_20,zero))))))) ),[1,1],$fot(X_20)]]) ).
cnf(refute_0_1114,plain,
( join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) != join(X_19,join(X_20,converse(meet(zero,converse(meet(X_20,zero))))))
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_19,X_20) ),
inference(resolve,[$cnf( $equal(join(X_20,converse(meet(zero,converse(meet(X_20,zero))))),X_20) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_19,X_20),
inference(resolve,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_19,join(X_20,converse(meet(zero,converse(meet(X_20,zero))))))) )],[refute_0_1029,refute_0_1114]) ).
cnf(refute_0_1116,plain,
join(X_19,zero) = X_19,
inference(subst,[],[refute_0_765:[bind(X_97,$fot(X_19))]]) ).
cnf(refute_0_1117,plain,
join(zero,converse(zero)) = converse(zero),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(converse(zero)))]]) ).
cnf(refute_0_1118,plain,
converse(join(converse(X0),zero)) = join(X0,converse(zero)),
inference(subst,[],[refute_0_272:[bind(X_5,$fot(zero))]]) ).
cnf(refute_0_1119,plain,
join(converse(X0),zero) = converse(X0),
inference(subst,[],[refute_0_765:[bind(X_97,$fot(converse(X0)))]]) ).
cnf(refute_0_1120,plain,
( converse(join(converse(X0),zero)) != join(X0,converse(zero))
| join(converse(X0),zero) != converse(X0)
| converse(converse(X0)) = join(X0,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),zero)),join(X0,converse(zero))) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_1121,plain,
( converse(join(converse(X0),zero)) != join(X0,converse(zero))
| converse(converse(X0)) = join(X0,converse(zero)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),zero),converse(X0)) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
converse(converse(X0)) = join(X0,converse(zero)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),zero)),join(X0,converse(zero))) )],[refute_0_1118,refute_0_1121]) ).
cnf(refute_0_1123,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(X0,converse(zero))
| X0 = join(X0,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(X0,converse(zero))) ),[0],$fot(X0)]]) ).
cnf(refute_0_1124,plain,
( converse(converse(X0)) != join(X0,converse(zero))
| X0 = join(X0,converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_1123]) ).
cnf(refute_0_1125,plain,
X0 = join(X0,converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(X0,converse(zero))) )],[refute_0_1122,refute_0_1124]) ).
cnf(refute_0_1126,plain,
zero = join(zero,converse(zero)),
inference(subst,[],[refute_0_1125:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1127,plain,
( zero != join(zero,converse(zero))
| join(zero,converse(zero)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,converse(zero))))]]) ).
cnf(refute_0_1128,plain,
join(zero,converse(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,converse(zero))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( join(zero,converse(zero)) != converse(zero)
| join(zero,converse(zero)) != zero
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(zero)),converse(zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1130,plain,
( join(zero,converse(zero)) != converse(zero)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(join(zero,converse(zero)),zero) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(join(zero,converse(zero)),converse(zero)) )],[refute_0_1117,refute_0_1130]) ).
cnf(refute_0_1132,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_1133,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
meet(zero,X_203) = complement(complement(meet(zero,X_203))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(zero,X_203)))]]) ).
cnf(refute_0_1135,plain,
top = join(complement(zero),join(complement(X_28),meet(zero,X_28))),
inference(subst,[],[refute_0_172:[bind(X_27,$fot(zero))]]) ).
cnf(refute_0_1136,plain,
join(X_192,join(meet(X_192,zero),meet(complement(X_192),zero))) = join(X_192,meet(complement(X_192),zero)),
inference(subst,[],[refute_0_1068:[bind(X0,$fot(X_192)),bind(X2,$fot(meet(complement(X_192),zero)))]]) ).
cnf(refute_0_1137,plain,
X_108 = join(meet(X_108,X_109),meet(complement(X_109),X_108)),
inference(subst,[],[refute_0_1046:[bind(X_95,$fot(X_108)),bind(X_96,$fot(X_109))]]) ).
cnf(refute_0_1138,plain,
meet(X_109,X_108) = meet(X_108,X_109),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_109)),bind(X_28,$fot(X_108))]]) ).
cnf(refute_0_1139,plain,
( meet(X_109,X_108) != meet(X_108,X_109)
| meet(X_108,X_109) = meet(X_109,X_108) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_109,X_108))),bind(Y,$fot(meet(X_108,X_109)))]]) ).
cnf(refute_0_1140,plain,
meet(X_108,X_109) = meet(X_109,X_108),
inference(resolve,[$cnf( $equal(meet(X_109,X_108),meet(X_108,X_109)) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
( X_108 != join(meet(X_108,X_109),meet(complement(X_109),X_108))
| meet(X_108,X_109) != meet(X_109,X_108)
| X_108 = join(meet(X_109,X_108),meet(complement(X_109),X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(X_108,join(meet(X_108,X_109),meet(complement(X_109),X_108))) ),[1,0],$fot(meet(X_109,X_108))]]) ).
cnf(refute_0_1142,plain,
( X_108 != join(meet(X_108,X_109),meet(complement(X_109),X_108))
| X_108 = join(meet(X_109,X_108),meet(complement(X_109),X_108)) ),
inference(resolve,[$cnf( $equal(meet(X_108,X_109),meet(X_109,X_108)) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
X_108 = join(meet(X_109,X_108),meet(complement(X_109),X_108)),
inference(resolve,[$cnf( $equal(X_108,join(meet(X_108,X_109),meet(complement(X_109),X_108))) )],[refute_0_1137,refute_0_1142]) ).
cnf(refute_0_1144,plain,
zero = join(meet(X_192,zero),meet(complement(X_192),zero)),
inference(subst,[],[refute_0_1143:[bind(X_108,$fot(zero)),bind(X_109,$fot(X_192))]]) ).
cnf(refute_0_1145,plain,
( zero != join(meet(X_192,zero),meet(complement(X_192),zero))
| join(meet(X_192,zero),meet(complement(X_192),zero)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(X_192,zero),meet(complement(X_192),zero))))]]) ).
cnf(refute_0_1146,plain,
join(meet(X_192,zero),meet(complement(X_192),zero)) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(X_192,zero),meet(complement(X_192),zero))) )],[refute_0_1144,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( join(X_192,join(meet(X_192,zero),meet(complement(X_192),zero))) != join(X_192,meet(complement(X_192),zero))
| join(meet(X_192,zero),meet(complement(X_192),zero)) != zero
| join(X_192,zero) = join(X_192,meet(complement(X_192),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_192,join(meet(X_192,zero),meet(complement(X_192),zero))),join(X_192,meet(complement(X_192),zero))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_1148,plain,
( join(X_192,join(meet(X_192,zero),meet(complement(X_192),zero))) != join(X_192,meet(complement(X_192),zero))
| join(X_192,zero) = join(X_192,meet(complement(X_192),zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_192,zero),meet(complement(X_192),zero)),zero) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(X_192,zero) = join(X_192,meet(complement(X_192),zero)),
inference(resolve,[$cnf( $equal(join(X_192,join(meet(X_192,zero),meet(complement(X_192),zero))),join(X_192,meet(complement(X_192),zero))) )],[refute_0_1136,refute_0_1148]) ).
cnf(refute_0_1150,plain,
join(X_192,zero) = X_192,
inference(subst,[],[refute_0_765:[bind(X_97,$fot(X_192))]]) ).
cnf(refute_0_1151,plain,
( join(X_192,zero) != X_192
| join(X_192,zero) != join(X_192,meet(complement(X_192),zero))
| X_192 = join(X_192,meet(complement(X_192),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_192,zero),join(X_192,meet(complement(X_192),zero))) ),[0],$fot(X_192)]]) ).
cnf(refute_0_1152,plain,
( join(X_192,zero) != join(X_192,meet(complement(X_192),zero))
| X_192 = join(X_192,meet(complement(X_192),zero)) ),
inference(resolve,[$cnf( $equal(join(X_192,zero),X_192) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
meet(complement(X_192),zero) = meet(zero,complement(X_192)),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(zero)),bind(X_28,$fot(complement(X_192)))]]) ).
cnf(refute_0_1154,plain,
join(X_192,meet(complement(X_192),zero)) = join(X_192,meet(complement(X_192),zero)),
introduced(tautology,[refl,[$fot(join(X_192,meet(complement(X_192),zero)))]]) ).
cnf(refute_0_1155,plain,
( join(X_192,meet(complement(X_192),zero)) != join(X_192,meet(complement(X_192),zero))
| meet(complement(X_192),zero) != meet(zero,complement(X_192))
| join(X_192,meet(complement(X_192),zero)) = join(X_192,meet(zero,complement(X_192))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_192,meet(complement(X_192),zero)),join(X_192,meet(complement(X_192),zero))) ),[1,1],$fot(meet(zero,complement(X_192)))]]) ).
cnf(refute_0_1156,plain,
( meet(complement(X_192),zero) != meet(zero,complement(X_192))
| join(X_192,meet(complement(X_192),zero)) = join(X_192,meet(zero,complement(X_192))) ),
inference(resolve,[$cnf( $equal(join(X_192,meet(complement(X_192),zero)),join(X_192,meet(complement(X_192),zero))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
join(X_192,meet(complement(X_192),zero)) = join(X_192,meet(zero,complement(X_192))),
inference(resolve,[$cnf( $equal(meet(complement(X_192),zero),meet(zero,complement(X_192))) )],[refute_0_1153,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( X_192 != join(X_192,meet(complement(X_192),zero))
| join(X_192,meet(complement(X_192),zero)) != join(X_192,meet(zero,complement(X_192)))
| X_192 = join(X_192,meet(zero,complement(X_192))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_192,join(X_192,meet(zero,complement(X_192)))) ),[0],$fot(join(X_192,meet(complement(X_192),zero)))]]) ).
cnf(refute_0_1159,plain,
( X_192 != join(X_192,meet(complement(X_192),zero))
| X_192 = join(X_192,meet(zero,complement(X_192))) ),
inference(resolve,[$cnf( $equal(join(X_192,meet(complement(X_192),zero)),join(X_192,meet(zero,complement(X_192)))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( join(X_192,zero) != join(X_192,meet(complement(X_192),zero))
| X_192 = join(X_192,meet(zero,complement(X_192))) ),
inference(resolve,[$cnf( $equal(X_192,join(X_192,meet(complement(X_192),zero))) )],[refute_0_1152,refute_0_1159]) ).
cnf(refute_0_1161,plain,
X_192 = join(X_192,meet(zero,complement(X_192))),
inference(resolve,[$cnf( $equal(join(X_192,zero),join(X_192,meet(complement(X_192),zero))) )],[refute_0_1149,refute_0_1160]) ).
cnf(refute_0_1162,plain,
complement(X1) = join(complement(X1),meet(zero,complement(complement(X1)))),
inference(subst,[],[refute_0_1161:[bind(X_192,$fot(complement(X1)))]]) ).
cnf(refute_0_1163,plain,
( complement(X1) != join(complement(X1),meet(zero,complement(complement(X1))))
| complement(complement(X1)) != X1
| complement(X1) = join(complement(X1),meet(zero,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(X1),meet(zero,complement(complement(X1))))) ),[1,1,1],$fot(X1)]]) ).
cnf(refute_0_1164,plain,
( complement(X1) != join(complement(X1),meet(zero,complement(complement(X1))))
| complement(X1) = join(complement(X1),meet(zero,X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_1163]) ).
cnf(refute_0_1165,plain,
complement(X1) = join(complement(X1),meet(zero,X1)),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(X1),meet(zero,complement(complement(X1))))) )],[refute_0_1162,refute_0_1164]) ).
cnf(refute_0_1166,plain,
complement(X_28) = join(complement(X_28),meet(zero,X_28)),
inference(subst,[],[refute_0_1165:[bind(X1,$fot(X_28))]]) ).
cnf(refute_0_1167,plain,
( complement(X_28) != join(complement(X_28),meet(zero,X_28))
| join(complement(X_28),meet(zero,X_28)) = complement(X_28) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_28))),bind(Y,$fot(join(complement(X_28),meet(zero,X_28))))]]) ).
cnf(refute_0_1168,plain,
join(complement(X_28),meet(zero,X_28)) = complement(X_28),
inference(resolve,[$cnf( $equal(complement(X_28),join(complement(X_28),meet(zero,X_28))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( join(complement(X_28),meet(zero,X_28)) != complement(X_28)
| top != join(complement(zero),join(complement(X_28),meet(zero,X_28)))
| top = join(complement(zero),complement(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),join(complement(X_28),meet(zero,X_28)))) ),[1,1],$fot(complement(X_28))]]) ).
cnf(refute_0_1170,plain,
( top != join(complement(zero),join(complement(X_28),meet(zero,X_28)))
| top = join(complement(zero),complement(X_28)) ),
inference(resolve,[$cnf( $equal(join(complement(X_28),meet(zero,X_28)),complement(X_28)) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
top = join(complement(zero),complement(X_28)),
inference(resolve,[$cnf( $equal(top,join(complement(zero),join(complement(X_28),meet(zero,X_28)))) )],[refute_0_1135,refute_0_1170]) ).
cnf(refute_0_1172,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_96),complement(join(complement(join(complement(X0),complement(X1))),X_96))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_96))]]) ).
cnf(refute_0_1173,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_96),complement(join(complement(join(complement(X0),complement(X1))),X_96)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_96),complement(join(complement(join(complement(X0),complement(X1))),X_96)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1174,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_96),complement(join(complement(join(complement(X0),complement(X1))),X_96)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_137,refute_0_1173]) ).
cnf(refute_0_1175,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_96),complement(join(complement(join(complement(X0),complement(X1))),X_96)))) )],[refute_0_1172,refute_0_1174]) ).
cnf(refute_0_1176,plain,
meet(join(complement(X0),complement(X1)),X_96) = complement(join(meet(X0,X1),complement(X_96))),
inference(subst,[],[refute_0_25:[bind(X1,$fot(X_96)),bind(X_27,$fot(X0)),bind(X_28,$fot(X1))]]) ).
cnf(refute_0_1177,plain,
join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) = join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)))]]) ).
cnf(refute_0_1178,plain,
( join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) != join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96))
| meet(join(complement(X0),complement(X1)),X_96) != complement(join(meet(X0,X1),complement(X_96)))
| join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)),join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_96))))]]) ).
cnf(refute_0_1179,plain,
( meet(join(complement(X0),complement(X1)),X_96) != complement(join(meet(X0,X1),complement(X_96)))
| join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)),join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),complement(X_96)))) )],[refute_0_1176,refute_0_1179]) ).
cnf(refute_0_1181,plain,
join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) = join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(join(meet(X0,X1),X_96)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_96)))]]) ).
cnf(refute_0_1182,plain,
( join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) != join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))
| join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) != join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96))
| join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))))]]) ).
cnf(refute_0_1183,plain,
( join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)) != join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))
| join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))),join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),meet(join(complement(X0),complement(X1)),X_96)),join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))) )],[refute_0_1180,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96)))
| join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))) != join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))))]]) ).
cnf(refute_0_1186,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96))),join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_96),complement(join(meet(X0,X1),X_96)))) )],[refute_0_1175,refute_0_1186]) ).
cnf(refute_0_1188,plain,
complement(join(meet(X0,X1),complement(X_96))) = meet(complement(meet(X0,X1)),X_96),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(X_96)),bind(X_31,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1189,plain,
join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) = join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))))]]) ).
cnf(refute_0_1190,plain,
( complement(join(meet(X0,X1),complement(X_96))) != meet(complement(meet(X0,X1)),X_96)
| join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) != join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))
| join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) = join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_96))]]) ).
cnf(refute_0_1191,plain,
( complement(join(meet(X0,X1),complement(X_96))) != meet(complement(meet(X0,X1)),X_96)
| join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) = join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) = join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_96))),meet(complement(meet(X0,X1)),X_96)) )],[refute_0_1188,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))
| join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))) != join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96))) ),[0],$fot(join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))))]]) ).
cnf(refute_0_1194,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96)))),join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_96)),complement(join(meet(X0,X1),complement(X_96))))) )],[refute_0_1187,refute_0_1194]) ).
cnf(refute_0_1196,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_96),complement(join(complement(join(zero,complement(X1))),X_96))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_96))]]) ).
cnf(refute_0_1197,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_1198,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_39,refute_0_1197]) ).
cnf(refute_0_1199,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_96),complement(join(complement(join(zero,complement(X1))),X_96)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_96),complement(join(complement(join(zero,complement(X1))),X_96)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_1200,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_96),complement(join(complement(join(zero,complement(X1))),X_96)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_96),complement(join(complement(join(zero,complement(X1))),X_96)))) )],[refute_0_1196,refute_0_1200]) ).
cnf(refute_0_1202,plain,
join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96))) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(join(meet(top,X1),X_96)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_96)))]]) ).
cnf(refute_0_1203,plain,
( join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96))) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96)))) ),[1],$fot(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)))]]) ).
cnf(refute_0_1204,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96))),join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_96),complement(join(meet(top,X1),X_96)))) )],[refute_0_1201,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| complement(X1) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_1207,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| complement(X1) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_282,refute_0_1206]) ).
cnf(refute_0_1208,plain,
meet(join(zero,complement(X1)),X_96) = meet(join(zero,complement(X1)),X_96),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_96))]]) ).
cnf(refute_0_1209,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_96) != meet(join(zero,complement(X1)),X_96)
| meet(join(zero,complement(X1)),X_96) = meet(complement(X1),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_96),meet(join(zero,complement(X1)),X_96)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_1210,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_96) = meet(complement(X1),X_96) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_96),meet(join(zero,complement(X1)),X_96)) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
meet(join(zero,complement(X1)),X_96) = meet(complement(X1),X_96),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_282,refute_0_1210]) ).
cnf(refute_0_1212,plain,
join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)))]]) ).
cnf(refute_0_1213,plain,
( join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) != join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96))
| meet(join(zero,complement(X1)),X_96) != meet(complement(X1),X_96)
| join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96))) ),[1,1],$fot(meet(complement(X1),X_96))]]) ).
cnf(refute_0_1214,plain,
( meet(join(zero,complement(X1)),X_96) != meet(complement(X1),X_96)
| join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_96),meet(complement(X1),X_96)) )],[refute_0_1211,refute_0_1214]) ).
cnf(refute_0_1216,plain,
join(meet(top,X1),X_96) = join(meet(top,X1),X_96),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_96))]]) ).
cnf(refute_0_1217,plain,
( join(meet(top,X1),X_96) != join(meet(top,X1),X_96)
| meet(top,X1) != X1
| join(meet(top,X1),X_96) = join(X1,X_96) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_96),join(meet(top,X1),X_96)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1218,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_96) = join(X1,X_96) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_96),join(meet(top,X1),X_96)) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
join(meet(top,X1),X_96) = join(X1,X_96),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_279,refute_0_1218]) ).
cnf(refute_0_1220,plain,
complement(join(meet(top,X1),X_96)) = complement(join(meet(top,X1),X_96)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_96)))]]) ).
cnf(refute_0_1221,plain,
( complement(join(meet(top,X1),X_96)) != complement(join(meet(top,X1),X_96))
| join(meet(top,X1),X_96) != join(X1,X_96)
| complement(join(meet(top,X1),X_96)) = complement(join(X1,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_96)),complement(join(meet(top,X1),X_96))) ),[1,0],$fot(join(X1,X_96))]]) ).
cnf(refute_0_1222,plain,
( join(meet(top,X1),X_96) != join(X1,X_96)
| complement(join(meet(top,X1),X_96)) = complement(join(X1,X_96)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_96)),complement(join(meet(top,X1),X_96))) )],[refute_0_1220,refute_0_1221]) ).
cnf(refute_0_1223,plain,
complement(join(meet(top,X1),X_96)) = complement(join(X1,X_96)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_96),join(X1,X_96)) )],[refute_0_1219,refute_0_1222]) ).
cnf(refute_0_1224,plain,
join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)))]]) ).
cnf(refute_0_1225,plain,
( complement(join(meet(top,X1),X_96)) != complement(join(X1,X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))) ),[1,0],$fot(complement(join(X1,X_96)))]]) ).
cnf(refute_0_1226,plain,
( complement(join(meet(top,X1),X_96)) != complement(join(X1,X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_96)),complement(join(X1,X_96))) )],[refute_0_1223,refute_0_1226]) ).
cnf(refute_0_1228,plain,
( join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) != join(complement(join(X1,X_96)),meet(complement(X1),X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) != join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)))),bind(Y,$fot(join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)))),bind(Z,$fot(join(complement(join(X1,X_96)),meet(complement(X1),X_96))))]]) ).
cnf(refute_0_1229,plain,
( join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)) != join(complement(join(X1,X_96)),meet(complement(X1),X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96))) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(X1,X_96)),meet(complement(X1),X_96))) )],[refute_0_1215,refute_0_1229]) ).
cnf(refute_0_1231,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)) != join(complement(join(X1,X_96)),meet(complement(X1),X_96))
| complement(X1) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_96)),meet(complement(X1),X_96))) ),[0],$fot(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)))]]) ).
cnf(refute_0_1232,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| complement(X1) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96)),join(complement(join(X1,X_96)),meet(complement(X1),X_96))) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))
| complement(X1) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))) )],[refute_0_1207,refute_0_1232]) ).
cnf(refute_0_1234,plain,
complement(X1) = join(complement(join(X1,X_96)),meet(complement(X1),X_96)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_96)),meet(join(zero,complement(X1)),X_96))) )],[refute_0_1205,refute_0_1233]) ).
cnf(refute_0_1235,plain,
( complement(X1) != join(complement(join(X1,X_96)),meet(complement(X1),X_96))
| join(complement(join(X1,X_96)),meet(complement(X1),X_96)) = complement(X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_96)),meet(complement(X1),X_96))))]]) ).
cnf(refute_0_1236,plain,
join(complement(join(X1,X_96)),meet(complement(X1),X_96)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_96)),meet(complement(X1),X_96))) )],[refute_0_1234,refute_0_1235]) ).
cnf(refute_0_1237,plain,
join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_1236:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1238,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96))
| join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)))]]) ).
cnf(refute_0_1239,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96)),complement(meet(X0,X1))) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_96)),meet(complement(meet(X0,X1)),X_96))) )],[refute_0_1195,refute_0_1239]) ).
cnf(refute_0_1241,plain,
join(complement(zero),complement(X_28)) = complement(meet(zero,X_28)),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(zero)),bind(X1,$fot(X_28))]]) ).
cnf(refute_0_1242,plain,
( join(complement(zero),complement(X_28)) != complement(meet(zero,X_28))
| top != join(complement(zero),complement(X_28))
| top = complement(meet(zero,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(zero),complement(X_28))) ),[1],$fot(complement(meet(zero,X_28)))]]) ).
cnf(refute_0_1243,plain,
( top != join(complement(zero),complement(X_28))
| top = complement(meet(zero,X_28)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),complement(X_28)),complement(meet(zero,X_28))) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
top = complement(meet(zero,X_28)),
inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(X_28))) )],[refute_0_1171,refute_0_1243]) ).
cnf(refute_0_1245,plain,
top = complement(meet(zero,X_203)),
inference(subst,[],[refute_0_1244:[bind(X_28,$fot(X_203))]]) ).
cnf(refute_0_1246,plain,
( top != complement(meet(zero,X_203))
| complement(meet(zero,X_203)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_203))))]]) ).
cnf(refute_0_1247,plain,
complement(meet(zero,X_203)) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_203))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
( complement(meet(zero,X_203)) != top
| meet(zero,X_203) != complement(complement(meet(zero,X_203)))
| meet(zero,X_203) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_203),complement(complement(meet(zero,X_203)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1249,plain,
( meet(zero,X_203) != complement(complement(meet(zero,X_203)))
| meet(zero,X_203) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(zero,X_203)),top) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
meet(zero,X_203) = complement(top),
inference(resolve,[$cnf( $equal(meet(zero,X_203),complement(complement(meet(zero,X_203)))) )],[refute_0_1134,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( complement(top) != zero
| meet(zero,X_203) != complement(top)
| meet(zero,X_203) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_203),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1252,plain,
( meet(zero,X_203) != complement(top)
| meet(zero,X_203) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_1251]) ).
cnf(refute_0_1253,plain,
meet(zero,X_203) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X_203),complement(top)) )],[refute_0_1250,refute_0_1252]) ).
cnf(refute_0_1254,plain,
meet(zero,converse(meet(X_20,zero))) = zero,
inference(subst,[],[refute_0_1253:[bind(X_203,$fot(converse(meet(X_20,zero))))]]) ).
cnf(refute_0_1255,plain,
converse(meet(zero,converse(meet(X_20,zero)))) = converse(meet(zero,converse(meet(X_20,zero)))),
introduced(tautology,[refl,[$fot(converse(meet(zero,converse(meet(X_20,zero)))))]]) ).
cnf(refute_0_1256,plain,
( converse(meet(zero,converse(meet(X_20,zero)))) != converse(meet(zero,converse(meet(X_20,zero))))
| meet(zero,converse(meet(X_20,zero))) != zero
| converse(meet(zero,converse(meet(X_20,zero)))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(zero,converse(meet(X_20,zero)))),converse(meet(zero,converse(meet(X_20,zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1257,plain,
( meet(zero,converse(meet(X_20,zero))) != zero
| converse(meet(zero,converse(meet(X_20,zero)))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(zero,converse(meet(X_20,zero)))),converse(meet(zero,converse(meet(X_20,zero))))) )],[refute_0_1255,refute_0_1256]) ).
cnf(refute_0_1258,plain,
converse(meet(zero,converse(meet(X_20,zero)))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(meet(X_20,zero))),zero) )],[refute_0_1254,refute_0_1257]) ).
cnf(refute_0_1259,plain,
( converse(meet(zero,converse(meet(X_20,zero)))) != converse(zero)
| converse(zero) != zero
| converse(meet(zero,converse(meet(X_20,zero)))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(meet(zero,converse(meet(X_20,zero)))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1260,plain,
( converse(zero) != zero
| converse(meet(zero,converse(meet(X_20,zero)))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(zero,converse(meet(X_20,zero)))),converse(zero)) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
converse(meet(zero,converse(meet(X_20,zero)))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_1260]) ).
cnf(refute_0_1262,plain,
join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = join(X_19,converse(meet(zero,converse(meet(X_20,zero))))),
introduced(tautology,[refl,[$fot(join(X_19,converse(meet(zero,converse(meet(X_20,zero))))))]]) ).
cnf(refute_0_1263,plain,
( converse(meet(zero,converse(meet(X_20,zero)))) != zero
| join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) != join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))
| join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = join(X_19,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_19,converse(meet(zero,converse(meet(X_20,zero))))),join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1264,plain,
( converse(meet(zero,converse(meet(X_20,zero)))) != zero
| join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = join(X_19,zero) ),
inference(resolve,[$cnf( $equal(join(X_19,converse(meet(zero,converse(meet(X_20,zero))))),join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = join(X_19,zero),
inference(resolve,[$cnf( $equal(converse(meet(zero,converse(meet(X_20,zero)))),zero) )],[refute_0_1261,refute_0_1264]) ).
cnf(refute_0_1266,plain,
( join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) != join(X_19,zero)
| join(X_19,zero) != X_19
| join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = X_19 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_19,converse(meet(zero,converse(meet(X_20,zero))))))),bind(Y,$fot(join(X_19,zero))),bind(Z,$fot(X_19))]]) ).
cnf(refute_0_1267,plain,
( join(X_19,zero) != X_19
| join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = X_19 ),
inference(resolve,[$cnf( $equal(join(X_19,converse(meet(zero,converse(meet(X_20,zero))))),join(X_19,zero)) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) = X_19,
inference(resolve,[$cnf( $equal(join(X_19,zero),X_19) )],[refute_0_1116,refute_0_1267]) ).
cnf(refute_0_1269,plain,
join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),
introduced(tautology,[refl,[$fot(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))))]]) ).
cnf(refute_0_1270,plain,
( join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) != X_19
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) != join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero))))))
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_20,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero))))))) ),[1,1],$fot(X_19)]]) ).
cnf(refute_0_1271,plain,
( join(X_19,converse(meet(zero,converse(meet(X_20,zero))))) != X_19
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_20,X_19) ),
inference(resolve,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero))))))) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) = join(X_20,X_19),
inference(resolve,[$cnf( $equal(join(X_19,converse(meet(zero,converse(meet(X_20,zero))))),X_19) )],[refute_0_1268,refute_0_1271]) ).
cnf(refute_0_1273,plain,
( join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) != join(X_19,X_20)
| join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) != join(X_20,X_19)
| join(X_20,X_19) = join(X_19,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_19,X_20)) ),[0],$fot(join(X_20,X_19))]]) ).
cnf(refute_0_1274,plain,
( join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))) != join(X_19,X_20)
| join(X_20,X_19) = join(X_19,X_20) ),
inference(resolve,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_20,X_19)) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(X_20,X_19) = join(X_19,X_20),
inference(resolve,[$cnf( $equal(join(X_20,join(X_19,converse(meet(zero,converse(meet(X_20,zero)))))),join(X_19,X_20)) )],[refute_0_1115,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( join(X_20,X_19) != join(X_19,X_20)
| join(X_19,X_20) = join(X_20,X_19) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_20,X_19))),bind(Y,$fot(join(X_19,X_20)))]]) ).
cnf(refute_0_1277,plain,
join(X_19,X_20) = join(X_20,X_19),
inference(resolve,[$cnf( $equal(join(X_20,X_19),join(X_19,X_20)) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
join(complement(converse(X_125)),zero) = join(zero,complement(converse(X_125))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(converse(X_125)))),bind(X_20,$fot(zero))]]) ).
cnf(refute_0_1279,plain,
( join(complement(converse(X_125)),zero) != join(zero,complement(converse(X_125)))
| join(zero,complement(converse(X_125))) != complement(converse(X_125))
| join(complement(converse(X_125)),zero) = complement(converse(X_125)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(X_125)),zero))),bind(Y,$fot(join(zero,complement(converse(X_125))))),bind(Z,$fot(complement(converse(X_125))))]]) ).
cnf(refute_0_1280,plain,
( join(zero,complement(converse(X_125))) != complement(converse(X_125))
| join(complement(converse(X_125)),zero) = complement(converse(X_125)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),zero),join(zero,complement(converse(X_125)))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
join(complement(converse(X_125)),zero) = complement(converse(X_125)),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(X_125))),complement(converse(X_125))) )],[refute_0_1028,refute_0_1280]) ).
cnf(refute_0_1282,plain,
meet(converse(X_244),converse(complement(X_244))) = complement(complement(meet(converse(X_244),converse(complement(X_244))))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(converse(X_244),converse(complement(X_244)))))]]) ).
cnf(refute_0_1283,plain,
converse(join(join(converse(complement(converse(X1))),X_223),X1)) = converse(join(X1,join(converse(complement(converse(X1))),X_223))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(join(converse(complement(converse(X1))),X_223)))]]) ).
cnf(refute_0_1284,plain,
join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(join(X_55,converse(join(zero,complement(converse(X_55))))),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(converse(join(zero,complement(converse(X_55)))))),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_1285,plain,
top = join(X_55,converse(join(zero,complement(converse(X_55))))),
inference(subst,[],[refute_0_959:[bind(X_50,$fot(X_55))]]) ).
cnf(refute_0_1286,plain,
( top != join(X_55,converse(join(zero,complement(converse(X_55)))))
| join(X_55,converse(join(zero,complement(converse(X_55))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_55,converse(join(zero,complement(converse(X_55)))))))]]) ).
cnf(refute_0_1287,plain,
join(X_55,converse(join(zero,complement(converse(X_55))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_55,converse(join(zero,complement(converse(X_55)))))) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( join(X_55,converse(join(zero,complement(converse(X_55))))) != top
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != join(join(X_55,converse(join(zero,complement(converse(X_55))))),X_57)
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(top,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),join(join(X_55,converse(join(zero,complement(converse(X_55))))),X_57)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1289,plain,
( join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != join(join(X_55,converse(join(zero,complement(converse(X_55))))),X_57)
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(top,X_57) ),
inference(resolve,[$cnf( $equal(join(X_55,converse(join(zero,complement(converse(X_55))))),top) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(top,X_57),
inference(resolve,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),join(join(X_55,converse(join(zero,complement(converse(X_55))))),X_57)) )],[refute_0_1284,refute_0_1289]) ).
cnf(refute_0_1291,plain,
join(X_81,join(complement(X_81),X_82)) = join(top,X_82),
inference(subst,[],[refute_0_155:[bind(X_55,$fot(X_81)),bind(X_57,$fot(X_82))]]) ).
cnf(refute_0_1292,plain,
join(X_82,top) = join(top,X_82),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_82)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1293,plain,
( join(X_82,top) != join(top,X_82)
| join(top,X_82) = join(X_82,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_82,top))),bind(Y,$fot(join(top,X_82)))]]) ).
cnf(refute_0_1294,plain,
join(top,X_82) = join(X_82,top),
inference(resolve,[$cnf( $equal(join(X_82,top),join(top,X_82)) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( join(X_81,join(complement(X_81),X_82)) != join(top,X_82)
| join(top,X_82) != join(X_82,top)
| join(X_81,join(complement(X_81),X_82)) = join(X_82,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_81,join(complement(X_81),X_82)),join(X_82,top)) ),[0],$fot(join(top,X_82))]]) ).
cnf(refute_0_1296,plain,
( join(X_81,join(complement(X_81),X_82)) != join(top,X_82)
| join(X_81,join(complement(X_81),X_82)) = join(X_82,top) ),
inference(resolve,[$cnf( $equal(join(top,X_82),join(X_82,top)) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
join(X_81,join(complement(X_81),X_82)) = join(X_82,top),
inference(resolve,[$cnf( $equal(join(X_81,join(complement(X_81),X_82)),join(top,X_82)) )],[refute_0_1291,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( join(X_81,join(complement(X_81),X_82)) != join(X_82,top)
| join(X_81,join(complement(X_81),X_82)) != join(top,X_82)
| join(top,X_82) = join(X_82,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_81,join(complement(X_81),X_82)),join(X_82,top)) ),[0],$fot(join(top,X_82))]]) ).
cnf(refute_0_1299,plain,
( join(X_81,join(complement(X_81),X_82)) != join(X_82,top)
| join(top,X_82) = join(X_82,top) ),
inference(resolve,[$cnf( $equal(join(X_81,join(complement(X_81),X_82)),join(top,X_82)) )],[refute_0_1291,refute_0_1298]) ).
cnf(refute_0_1300,plain,
join(X_82,top) = top,
inference(subst,[],[refute_0_200:[bind(X_81,$fot(X_82))]]) ).
cnf(refute_0_1301,plain,
( join(X_82,top) != top
| join(top,X_82) != join(X_82,top)
| join(top,X_82) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X_82),join(X_82,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1302,plain,
( join(top,X_82) != join(X_82,top)
| join(top,X_82) = top ),
inference(resolve,[$cnf( $equal(join(X_82,top),top) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
( join(X_81,join(complement(X_81),X_82)) != join(X_82,top)
| join(top,X_82) = top ),
inference(resolve,[$cnf( $equal(join(top,X_82),join(X_82,top)) )],[refute_0_1299,refute_0_1302]) ).
cnf(refute_0_1304,plain,
join(top,X_82) = top,
inference(resolve,[$cnf( $equal(join(X_81,join(complement(X_81),X_82)),join(X_82,top)) )],[refute_0_1297,refute_0_1303]) ).
cnf(refute_0_1305,plain,
join(top,X_57) = top,
inference(subst,[],[refute_0_1304:[bind(X_82,$fot(X_57))]]) ).
cnf(refute_0_1306,plain,
( join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != join(top,X_57)
| join(top,X_57) != top
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),top) ),[0],$fot(join(top,X_57))]]) ).
cnf(refute_0_1307,plain,
( join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != join(top,X_57)
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_57),top) )],[refute_0_1305,refute_0_1306]) ).
cnf(refute_0_1308,plain,
join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = top,
inference(resolve,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),join(top,X_57)) )],[refute_0_1290,refute_0_1307]) ).
cnf(refute_0_1309,plain,
join(zero,complement(converse(X_55))) = complement(converse(X_55)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(converse(X_55))))]]) ).
cnf(refute_0_1310,plain,
converse(join(zero,complement(converse(X_55)))) = converse(join(zero,complement(converse(X_55)))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(converse(X_55)))))]]) ).
cnf(refute_0_1311,plain,
( converse(join(zero,complement(converse(X_55)))) != converse(join(zero,complement(converse(X_55))))
| join(zero,complement(converse(X_55))) != complement(converse(X_55))
| converse(join(zero,complement(converse(X_55)))) = converse(complement(converse(X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(converse(X_55)))),converse(join(zero,complement(converse(X_55))))) ),[1,0],$fot(complement(converse(X_55)))]]) ).
cnf(refute_0_1312,plain,
( join(zero,complement(converse(X_55))) != complement(converse(X_55))
| converse(join(zero,complement(converse(X_55)))) = converse(complement(converse(X_55))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(X_55)))),converse(join(zero,complement(converse(X_55))))) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
converse(join(zero,complement(converse(X_55)))) = converse(complement(converse(X_55))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(X_55))),complement(converse(X_55))) )],[refute_0_1309,refute_0_1312]) ).
cnf(refute_0_1314,plain,
join(converse(join(zero,complement(converse(X_55)))),X_57) = join(converse(join(zero,complement(converse(X_55)))),X_57),
introduced(tautology,[refl,[$fot(join(converse(join(zero,complement(converse(X_55)))),X_57))]]) ).
cnf(refute_0_1315,plain,
( converse(join(zero,complement(converse(X_55)))) != converse(complement(converse(X_55)))
| join(converse(join(zero,complement(converse(X_55)))),X_57) != join(converse(join(zero,complement(converse(X_55)))),X_57)
| join(converse(join(zero,complement(converse(X_55)))),X_57) = join(converse(complement(converse(X_55))),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(zero,complement(converse(X_55)))),X_57),join(converse(join(zero,complement(converse(X_55)))),X_57)) ),[1,0],$fot(converse(complement(converse(X_55))))]]) ).
cnf(refute_0_1316,plain,
( converse(join(zero,complement(converse(X_55)))) != converse(complement(converse(X_55)))
| join(converse(join(zero,complement(converse(X_55)))),X_57) = join(converse(complement(converse(X_55))),X_57) ),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(X_55)))),X_57),join(converse(join(zero,complement(converse(X_55)))),X_57)) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
join(converse(join(zero,complement(converse(X_55)))),X_57) = join(converse(complement(converse(X_55))),X_57),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(X_55)))),converse(complement(converse(X_55)))) )],[refute_0_1313,refute_0_1316]) ).
cnf(refute_0_1318,plain,
join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),
introduced(tautology,[refl,[$fot(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)))]]) ).
cnf(refute_0_1319,plain,
( join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57))
| join(converse(join(zero,complement(converse(X_55)))),X_57) != join(converse(complement(converse(X_55))),X_57)
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(X_55,join(converse(complement(converse(X_55))),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57))) ),[1,1],$fot(join(converse(complement(converse(X_55))),X_57))]]) ).
cnf(refute_0_1320,plain,
( join(converse(join(zero,complement(converse(X_55)))),X_57) != join(converse(complement(converse(X_55))),X_57)
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(X_55,join(converse(complement(converse(X_55))),X_57)) ),
inference(resolve,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) = join(X_55,join(converse(complement(converse(X_55))),X_57)),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(X_55)))),X_57),join(converse(complement(converse(X_55))),X_57)) )],[refute_0_1317,refute_0_1320]) ).
cnf(refute_0_1322,plain,
( join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != join(X_55,join(converse(complement(converse(X_55))),X_57))
| join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != top
| join(X_55,join(converse(complement(converse(X_55))),X_57)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),top) ),[0],$fot(join(X_55,join(converse(complement(converse(X_55))),X_57)))]]) ).
cnf(refute_0_1323,plain,
( join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)) != top
| join(X_55,join(converse(complement(converse(X_55))),X_57)) = top ),
inference(resolve,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),join(X_55,join(converse(complement(converse(X_55))),X_57))) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(X_55,join(converse(complement(converse(X_55))),X_57)) = top,
inference(resolve,[$cnf( $equal(join(X_55,join(converse(join(zero,complement(converse(X_55)))),X_57)),top) )],[refute_0_1308,refute_0_1323]) ).
cnf(refute_0_1325,plain,
join(X1,join(converse(complement(converse(X1))),X_223)) = top,
inference(subst,[],[refute_0_1324:[bind(X_55,$fot(X1)),bind(X_57,$fot(X_223))]]) ).
cnf(refute_0_1326,plain,
( converse(join(join(converse(complement(converse(X1))),X_223),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_223)))
| join(X1,join(converse(complement(converse(X1))),X_223)) != top
| converse(join(join(converse(complement(converse(X1))),X_223),X1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_223),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_223)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1327,plain,
( converse(join(join(converse(complement(converse(X1))),X_223),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_223)))
| converse(join(join(converse(complement(converse(X1))),X_223),X1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X1,join(converse(complement(converse(X1))),X_223)),top) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
converse(join(join(converse(complement(converse(X1))),X_223),X1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_223),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_223)))) )],[refute_0_1283,refute_0_1327]) ).
cnf(refute_0_1329,plain,
converse(join(X_4,converse(join(X_178,converse(X_180))))) = join(converse(X_4),join(X_178,converse(X_180))),
inference(subst,[],[refute_0_400:[bind(X0,$fot(join(X_178,converse(X_180))))]]) ).
cnf(refute_0_1330,plain,
join(converse(X_4),join(X_178,converse(X_180))) = join(X_178,join(converse(X_4),converse(X_180))),
inference(subst,[],[refute_0_372:[bind(X_19,$fot(X_178)),bind(X_20,$fot(converse(X_4))),bind(X_5,$fot(X_180))]]) ).
cnf(refute_0_1331,plain,
( converse(join(X_4,converse(join(X_178,converse(X_180))))) != join(converse(X_4),join(X_178,converse(X_180)))
| join(converse(X_4),join(X_178,converse(X_180))) != join(X_178,join(converse(X_4),converse(X_180)))
| converse(join(X_4,converse(join(X_178,converse(X_180))))) = join(X_178,join(converse(X_4),converse(X_180))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_4,converse(join(X_178,converse(X_180))))),join(X_178,join(converse(X_4),converse(X_180)))) ),[0],$fot(join(converse(X_4),join(X_178,converse(X_180))))]]) ).
cnf(refute_0_1332,plain,
( converse(join(X_4,converse(join(X_178,converse(X_180))))) != join(converse(X_4),join(X_178,converse(X_180)))
| converse(join(X_4,converse(join(X_178,converse(X_180))))) = join(X_178,join(converse(X_4),converse(X_180))) ),
inference(resolve,[$cnf( $equal(join(converse(X_4),join(X_178,converse(X_180))),join(X_178,join(converse(X_4),converse(X_180)))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
converse(join(X_4,converse(join(X_178,converse(X_180))))) = join(X_178,join(converse(X_4),converse(X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_178,converse(X_180))))),join(converse(X_4),join(X_178,converse(X_180)))) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
converse(join(converse(join(converse(X_6),X_7)),X_5)) = join(join(converse(X_6),X_7),converse(X_5)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(join(converse(X_6),X_7)))]]) ).
cnf(refute_0_1335,plain,
converse(join(converse(X_6),X_7)) = join(X_6,converse(X_7)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(X_6)),bind(X_5,$fot(X_7))]]) ).
cnf(refute_0_1336,plain,
( converse(join(converse(X_6),X_7)) != join(X_6,converse(X_7))
| converse(join(converse(join(converse(X_6),X_7)),X_5)) != join(join(converse(X_6),X_7),converse(X_5))
| converse(join(join(X_6,converse(X_7)),X_5)) = join(join(converse(X_6),X_7),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(converse(X_6),X_7)),X_5)),join(join(converse(X_6),X_7),converse(X_5))) ),[0,0,0],$fot(join(X_6,converse(X_7)))]]) ).
cnf(refute_0_1337,plain,
( converse(join(converse(join(converse(X_6),X_7)),X_5)) != join(join(converse(X_6),X_7),converse(X_5))
| converse(join(join(X_6,converse(X_7)),X_5)) = join(join(converse(X_6),X_7),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_6),X_7)),join(X_6,converse(X_7))) )],[refute_0_1335,refute_0_1336]) ).
cnf(refute_0_1338,plain,
converse(join(join(X_6,converse(X_7)),X_5)) = join(join(converse(X_6),X_7),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(converse(X_6),X_7)),X_5)),join(join(converse(X_6),X_7),converse(X_5))) )],[refute_0_1334,refute_0_1337]) ).
cnf(refute_0_1339,plain,
join(join(X_6,converse(X_7)),X_5) = join(X_6,join(converse(X_7),X_5)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_6)),bind(X1,$fot(converse(X_7))),bind(X2,$fot(X_5))]]) ).
cnf(refute_0_1340,plain,
converse(join(join(X_6,converse(X_7)),X_5)) = converse(join(join(X_6,converse(X_7)),X_5)),
introduced(tautology,[refl,[$fot(converse(join(join(X_6,converse(X_7)),X_5)))]]) ).
cnf(refute_0_1341,plain,
( converse(join(join(X_6,converse(X_7)),X_5)) != converse(join(join(X_6,converse(X_7)),X_5))
| join(join(X_6,converse(X_7)),X_5) != join(X_6,join(converse(X_7),X_5))
| converse(join(join(X_6,converse(X_7)),X_5)) = converse(join(X_6,join(converse(X_7),X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_6,converse(X_7)),X_5)),converse(join(join(X_6,converse(X_7)),X_5))) ),[1,0],$fot(join(X_6,join(converse(X_7),X_5)))]]) ).
cnf(refute_0_1342,plain,
( join(join(X_6,converse(X_7)),X_5) != join(X_6,join(converse(X_7),X_5))
| converse(join(join(X_6,converse(X_7)),X_5)) = converse(join(X_6,join(converse(X_7),X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_6,converse(X_7)),X_5)),converse(join(join(X_6,converse(X_7)),X_5))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
converse(join(join(X_6,converse(X_7)),X_5)) = converse(join(X_6,join(converse(X_7),X_5))),
inference(resolve,[$cnf( $equal(join(join(X_6,converse(X_7)),X_5),join(X_6,join(converse(X_7),X_5))) )],[refute_0_1339,refute_0_1342]) ).
cnf(refute_0_1344,plain,
( converse(join(join(X_6,converse(X_7)),X_5)) != converse(join(X_6,join(converse(X_7),X_5)))
| converse(join(join(X_6,converse(X_7)),X_5)) != join(join(converse(X_6),X_7),converse(X_5))
| converse(join(X_6,join(converse(X_7),X_5))) = join(join(converse(X_6),X_7),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_6,converse(X_7)),X_5)),join(join(converse(X_6),X_7),converse(X_5))) ),[0],$fot(converse(join(X_6,join(converse(X_7),X_5))))]]) ).
cnf(refute_0_1345,plain,
( converse(join(join(X_6,converse(X_7)),X_5)) != join(join(converse(X_6),X_7),converse(X_5))
| converse(join(X_6,join(converse(X_7),X_5))) = join(join(converse(X_6),X_7),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_6,converse(X_7)),X_5)),converse(join(X_6,join(converse(X_7),X_5)))) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
join(join(converse(X_6),X_7),converse(X_5)) = join(converse(X_6),join(X_7,converse(X_5))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(converse(X_6))),bind(X1,$fot(X_7)),bind(X2,$fot(converse(X_5)))]]) ).
cnf(refute_0_1347,plain,
( converse(join(X_6,join(converse(X_7),X_5))) != join(join(converse(X_6),X_7),converse(X_5))
| join(join(converse(X_6),X_7),converse(X_5)) != join(converse(X_6),join(X_7,converse(X_5)))
| converse(join(X_6,join(converse(X_7),X_5))) = join(converse(X_6),join(X_7,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_6,join(converse(X_7),X_5))),join(converse(X_6),join(X_7,converse(X_5)))) ),[0],$fot(join(join(converse(X_6),X_7),converse(X_5)))]]) ).
cnf(refute_0_1348,plain,
( converse(join(X_6,join(converse(X_7),X_5))) != join(join(converse(X_6),X_7),converse(X_5))
| converse(join(X_6,join(converse(X_7),X_5))) = join(converse(X_6),join(X_7,converse(X_5))) ),
inference(resolve,[$cnf( $equal(join(join(converse(X_6),X_7),converse(X_5)),join(converse(X_6),join(X_7,converse(X_5)))) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
( converse(join(join(X_6,converse(X_7)),X_5)) != join(join(converse(X_6),X_7),converse(X_5))
| converse(join(X_6,join(converse(X_7),X_5))) = join(converse(X_6),join(X_7,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_7),X_5))),join(join(converse(X_6),X_7),converse(X_5))) )],[refute_0_1345,refute_0_1348]) ).
cnf(refute_0_1350,plain,
converse(join(X_6,join(converse(X_7),X_5))) = join(converse(X_6),join(X_7,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(join(X_6,converse(X_7)),X_5)),join(join(converse(X_6),X_7),converse(X_5))) )],[refute_0_1338,refute_0_1349]) ).
cnf(refute_0_1351,plain,
( converse(join(X_6,join(converse(X_7),X_5))) != join(converse(X_6),join(X_7,converse(X_5)))
| join(converse(X_6),join(X_7,converse(X_5))) = converse(join(X_6,join(converse(X_7),X_5))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_6,join(converse(X_7),X_5))))),bind(Y,$fot(join(converse(X_6),join(X_7,converse(X_5)))))]]) ).
cnf(refute_0_1352,plain,
join(converse(X_6),join(X_7,converse(X_5))) = converse(join(X_6,join(converse(X_7),X_5))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_7),X_5))),join(converse(X_6),join(X_7,converse(X_5)))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(converse(X_4),join(X_178,converse(X_180))) = converse(join(X_4,join(converse(X_178),X_180))),
inference(subst,[],[refute_0_1352:[bind(X_5,$fot(X_180)),bind(X_6,$fot(X_4)),bind(X_7,$fot(X_178))]]) ).
cnf(refute_0_1354,plain,
( converse(join(X_4,converse(join(X_178,converse(X_180))))) != join(converse(X_4),join(X_178,converse(X_180)))
| join(converse(X_4),join(X_178,converse(X_180))) != converse(join(X_4,join(converse(X_178),X_180)))
| converse(join(X_4,converse(join(X_178,converse(X_180))))) = converse(join(X_4,join(converse(X_178),X_180))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_4,converse(join(X_178,converse(X_180))))))),bind(Y,$fot(join(converse(X_4),join(X_178,converse(X_180))))),bind(Z,$fot(converse(join(X_4,join(converse(X_178),X_180)))))]]) ).
cnf(refute_0_1355,plain,
( join(converse(X_4),join(X_178,converse(X_180))) != converse(join(X_4,join(converse(X_178),X_180)))
| converse(join(X_4,converse(join(X_178,converse(X_180))))) = converse(join(X_4,join(converse(X_178),X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_178,converse(X_180))))),join(converse(X_4),join(X_178,converse(X_180)))) )],[refute_0_1329,refute_0_1354]) ).
cnf(refute_0_1356,plain,
converse(join(X_4,converse(join(X_178,converse(X_180))))) = converse(join(X_4,join(converse(X_178),X_180))),
inference(resolve,[$cnf( $equal(join(converse(X_4),join(X_178,converse(X_180))),converse(join(X_4,join(converse(X_178),X_180)))) )],[refute_0_1353,refute_0_1355]) ).
cnf(refute_0_1357,plain,
( converse(join(X_4,converse(join(X_178,converse(X_180))))) != converse(join(X_4,join(converse(X_178),X_180)))
| converse(join(X_4,converse(join(X_178,converse(X_180))))) != join(X_178,join(converse(X_4),converse(X_180)))
| converse(join(X_4,join(converse(X_178),X_180))) = join(X_178,join(converse(X_4),converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(join(X_178,converse(X_180))))),join(X_178,join(converse(X_4),converse(X_180)))) ),[0],$fot(converse(join(X_4,join(converse(X_178),X_180))))]]) ).
cnf(refute_0_1358,plain,
( converse(join(X_4,converse(join(X_178,converse(X_180))))) != join(X_178,join(converse(X_4),converse(X_180)))
| converse(join(X_4,join(converse(X_178),X_180))) = join(X_178,join(converse(X_4),converse(X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_178,converse(X_180))))),converse(join(X_4,join(converse(X_178),X_180)))) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
join(converse(X_4),converse(X_180)) = converse(join(X_4,X_180)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(X_4)),bind(X1,$fot(X_180))]]) ).
cnf(refute_0_1360,plain,
join(X_178,join(converse(X_4),converse(X_180))) = join(X_178,join(converse(X_4),converse(X_180))),
introduced(tautology,[refl,[$fot(join(X_178,join(converse(X_4),converse(X_180))))]]) ).
cnf(refute_0_1361,plain,
( join(X_178,join(converse(X_4),converse(X_180))) != join(X_178,join(converse(X_4),converse(X_180)))
| join(converse(X_4),converse(X_180)) != converse(join(X_4,X_180))
| join(X_178,join(converse(X_4),converse(X_180))) = join(X_178,converse(join(X_4,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_178,join(converse(X_4),converse(X_180))),join(X_178,join(converse(X_4),converse(X_180)))) ),[1,1],$fot(converse(join(X_4,X_180)))]]) ).
cnf(refute_0_1362,plain,
( join(converse(X_4),converse(X_180)) != converse(join(X_4,X_180))
| join(X_178,join(converse(X_4),converse(X_180))) = join(X_178,converse(join(X_4,X_180))) ),
inference(resolve,[$cnf( $equal(join(X_178,join(converse(X_4),converse(X_180))),join(X_178,join(converse(X_4),converse(X_180)))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
join(X_178,join(converse(X_4),converse(X_180))) = join(X_178,converse(join(X_4,X_180))),
inference(resolve,[$cnf( $equal(join(converse(X_4),converse(X_180)),converse(join(X_4,X_180))) )],[refute_0_1359,refute_0_1362]) ).
cnf(refute_0_1364,plain,
( converse(join(X_4,join(converse(X_178),X_180))) != join(X_178,join(converse(X_4),converse(X_180)))
| join(X_178,join(converse(X_4),converse(X_180))) != join(X_178,converse(join(X_4,X_180)))
| converse(join(X_4,join(converse(X_178),X_180))) = join(X_178,converse(join(X_4,X_180))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_4,join(converse(X_178),X_180))),join(X_178,converse(join(X_4,X_180)))) ),[0],$fot(join(X_178,join(converse(X_4),converse(X_180))))]]) ).
cnf(refute_0_1365,plain,
( converse(join(X_4,join(converse(X_178),X_180))) != join(X_178,join(converse(X_4),converse(X_180)))
| converse(join(X_4,join(converse(X_178),X_180))) = join(X_178,converse(join(X_4,X_180))) ),
inference(resolve,[$cnf( $equal(join(X_178,join(converse(X_4),converse(X_180))),join(X_178,converse(join(X_4,X_180)))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
( converse(join(X_4,converse(join(X_178,converse(X_180))))) != join(X_178,join(converse(X_4),converse(X_180)))
| converse(join(X_4,join(converse(X_178),X_180))) = join(X_178,converse(join(X_4,X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,join(converse(X_178),X_180))),join(X_178,join(converse(X_4),converse(X_180)))) )],[refute_0_1358,refute_0_1365]) ).
cnf(refute_0_1367,plain,
converse(join(X_4,join(converse(X_178),X_180))) = join(X_178,converse(join(X_4,X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(join(X_178,converse(X_180))))),join(X_178,join(converse(X_4),converse(X_180)))) )],[refute_0_1333,refute_0_1366]) ).
cnf(refute_0_1368,plain,
converse(join(X1,join(converse(complement(converse(X1))),X_223))) = join(complement(converse(X1)),converse(join(X1,X_223))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(complement(converse(X1)))),bind(X_180,$fot(X_223)),bind(X_4,$fot(X1))]]) ).
cnf(refute_0_1369,plain,
( converse(join(X1,join(converse(complement(converse(X1))),X_223))) != join(complement(converse(X1)),converse(join(X1,X_223)))
| converse(join(join(converse(complement(converse(X1))),X_223),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_223)))
| converse(join(join(converse(complement(converse(X1))),X_223),X1)) = join(complement(converse(X1)),converse(join(X1,X_223))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(converse(complement(converse(X1))),X_223),X1)))),bind(Y,$fot(converse(join(X1,join(converse(complement(converse(X1))),X_223))))),bind(Z,$fot(join(complement(converse(X1)),converse(join(X1,X_223)))))]]) ).
cnf(refute_0_1370,plain,
( converse(join(X1,join(converse(complement(converse(X1))),X_223))) != join(complement(converse(X1)),converse(join(X1,X_223)))
| converse(join(join(converse(complement(converse(X1))),X_223),X1)) = join(complement(converse(X1)),converse(join(X1,X_223))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_223),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_223)))) )],[refute_0_1283,refute_0_1369]) ).
cnf(refute_0_1371,plain,
converse(join(join(converse(complement(converse(X1))),X_223),X1)) = join(complement(converse(X1)),converse(join(X1,X_223))),
inference(resolve,[$cnf( $equal(converse(join(X1,join(converse(complement(converse(X1))),X_223))),join(complement(converse(X1)),converse(join(X1,X_223)))) )],[refute_0_1368,refute_0_1370]) ).
cnf(refute_0_1372,plain,
( converse(join(join(converse(complement(converse(X1))),X_223),X1)) != converse(top)
| converse(join(join(converse(complement(converse(X1))),X_223),X1)) != join(complement(converse(X1)),converse(join(X1,X_223)))
| join(complement(converse(X1)),converse(join(X1,X_223))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_223),X1)),converse(top)) ),[0],$fot(join(complement(converse(X1)),converse(join(X1,X_223))))]]) ).
cnf(refute_0_1373,plain,
( converse(join(join(converse(complement(converse(X1))),X_223),X1)) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_223))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_223),X1)),join(complement(converse(X1)),converse(join(X1,X_223)))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
( converse(top) != top
| join(complement(converse(X1)),converse(join(X1,X_223))) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_223))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X1)),converse(join(X1,X_223))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1375,plain,
( join(complement(converse(X1)),converse(join(X1,X_223))) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_223))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_1374]) ).
cnf(refute_0_1376,plain,
( converse(join(join(converse(complement(converse(X1))),X_223),X1)) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_223))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(X1)),converse(join(X1,X_223))),converse(top)) )],[refute_0_1373,refute_0_1375]) ).
cnf(refute_0_1377,plain,
join(complement(converse(X1)),converse(join(X1,X_223))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_223),X1)),converse(top)) )],[refute_0_1328,refute_0_1376]) ).
cnf(refute_0_1378,plain,
join(complement(converse(complement(X_243))),converse(join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))))) = top,
inference(subst,[],[refute_0_1377:[bind(X1,$fot(complement(X_243))),bind(X_223,$fot(meet(X_243,converse(complement(converse(X_243))))))]]) ).
cnf(refute_0_1379,plain,
converse(complement(converse(complement(complement(X_109))))) = join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))),
inference(subst,[],[refute_0_1046:[bind(X_95,$fot(converse(complement(converse(complement(complement(X_109))))))),bind(X_96,$fot(X_109))]]) ).
cnf(refute_0_1380,plain,
complement(X_109) = meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))),
inference(subst,[],[refute_0_992:[bind(X_95,$fot(complement(X_109)))]]) ).
cnf(refute_0_1381,plain,
( complement(X_109) != meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))
| meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))) = complement(X_109) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_109))),bind(Y,$fot(meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))))]]) ).
cnf(refute_0_1382,plain,
meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))) = complement(X_109),
inference(resolve,[$cnf( $equal(complement(X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109))))))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
( converse(complement(converse(complement(complement(X_109))))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))))
| meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))) != complement(X_109)
| converse(complement(converse(complement(complement(X_109))))) = join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))))) ),[1,1],$fot(complement(X_109))]]) ).
cnf(refute_0_1384,plain,
( converse(complement(converse(complement(complement(X_109))))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))))
| converse(complement(converse(complement(complement(X_109))))) = join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))),complement(X_109)) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
converse(complement(converse(complement(complement(X_109))))) = join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(complement(X_109),converse(complement(converse(complement(complement(X_109)))))))) )],[refute_0_1379,refute_0_1384]) ).
cnf(refute_0_1386,plain,
complement(complement(X_109)) = X_109,
inference(subst,[],[refute_0_292:[bind(X1,$fot(X_109))]]) ).
cnf(refute_0_1387,plain,
converse(complement(complement(X_109))) = converse(complement(complement(X_109))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_109))))]]) ).
cnf(refute_0_1388,plain,
( complement(complement(X_109)) != X_109
| converse(complement(complement(X_109))) != converse(complement(complement(X_109)))
| converse(complement(complement(X_109))) = converse(X_109) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_109))),converse(complement(complement(X_109)))) ),[1,0],$fot(X_109)]]) ).
cnf(refute_0_1389,plain,
( complement(complement(X_109)) != X_109
| converse(complement(complement(X_109))) = converse(X_109) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_109))),converse(complement(complement(X_109)))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
converse(complement(complement(X_109))) = converse(X_109),
inference(resolve,[$cnf( $equal(complement(complement(X_109)),X_109) )],[refute_0_1386,refute_0_1389]) ).
cnf(refute_0_1391,plain,
complement(converse(complement(complement(X_109)))) = complement(converse(complement(complement(X_109)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_109)))))]]) ).
cnf(refute_0_1392,plain,
( complement(converse(complement(complement(X_109)))) != complement(converse(complement(complement(X_109))))
| converse(complement(complement(X_109))) != converse(X_109)
| complement(converse(complement(complement(X_109)))) = complement(converse(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_109)))),complement(converse(complement(complement(X_109))))) ),[1,0],$fot(converse(X_109))]]) ).
cnf(refute_0_1393,plain,
( converse(complement(complement(X_109))) != converse(X_109)
| complement(converse(complement(complement(X_109)))) = complement(converse(X_109)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_109)))),complement(converse(complement(complement(X_109))))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
complement(converse(complement(complement(X_109)))) = complement(converse(X_109)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_109))),converse(X_109)) )],[refute_0_1390,refute_0_1393]) ).
cnf(refute_0_1395,plain,
converse(complement(converse(complement(complement(X_109))))) = converse(complement(converse(complement(complement(X_109))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_109))))))]]) ).
cnf(refute_0_1396,plain,
( complement(converse(complement(complement(X_109)))) != complement(converse(X_109))
| converse(complement(converse(complement(complement(X_109))))) != converse(complement(converse(complement(complement(X_109)))))
| converse(complement(converse(complement(complement(X_109))))) = converse(complement(converse(X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),converse(complement(converse(complement(complement(X_109)))))) ),[1,0],$fot(complement(converse(X_109)))]]) ).
cnf(refute_0_1397,plain,
( complement(converse(complement(complement(X_109)))) != complement(converse(X_109))
| converse(complement(converse(complement(complement(X_109))))) = converse(complement(converse(X_109))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),converse(complement(converse(complement(complement(X_109)))))) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
converse(complement(converse(complement(complement(X_109))))) = converse(complement(converse(X_109))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_109)))),complement(converse(X_109))) )],[refute_0_1394,refute_0_1397]) ).
cnf(refute_0_1399,plain,
( converse(complement(converse(complement(complement(X_109))))) != converse(complement(converse(X_109)))
| converse(complement(converse(complement(complement(X_109))))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))
| converse(complement(converse(X_109))) = join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))) ),[0],$fot(converse(complement(converse(X_109))))]]) ).
cnf(refute_0_1400,plain,
( converse(complement(converse(complement(complement(X_109))))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))
| converse(complement(converse(X_109))) = join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),converse(complement(converse(X_109)))) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
meet(X_109,converse(complement(converse(complement(complement(X_109)))))) = meet(X_109,converse(complement(converse(complement(complement(X_109)))))),
introduced(tautology,[refl,[$fot(meet(X_109,converse(complement(converse(complement(complement(X_109)))))))]]) ).
cnf(refute_0_1402,plain,
( converse(complement(converse(complement(complement(X_109))))) != converse(complement(converse(X_109)))
| meet(X_109,converse(complement(converse(complement(complement(X_109)))))) != meet(X_109,converse(complement(converse(complement(complement(X_109))))))
| meet(X_109,converse(complement(converse(complement(complement(X_109)))))) = meet(X_109,converse(complement(converse(X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_109,converse(complement(converse(complement(complement(X_109)))))),meet(X_109,converse(complement(converse(complement(complement(X_109))))))) ),[1,1],$fot(converse(complement(converse(X_109))))]]) ).
cnf(refute_0_1403,plain,
( converse(complement(converse(complement(complement(X_109))))) != converse(complement(converse(X_109)))
| meet(X_109,converse(complement(converse(complement(complement(X_109)))))) = meet(X_109,converse(complement(converse(X_109)))) ),
inference(resolve,[$cnf( $equal(meet(X_109,converse(complement(converse(complement(complement(X_109)))))),meet(X_109,converse(complement(converse(complement(complement(X_109))))))) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
meet(X_109,converse(complement(converse(complement(complement(X_109)))))) = meet(X_109,converse(complement(converse(X_109)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),converse(complement(converse(X_109)))) )],[refute_0_1398,refute_0_1403]) ).
cnf(refute_0_1405,plain,
meet(converse(complement(converse(complement(complement(X_109))))),X_109) = meet(X_109,converse(complement(converse(complement(complement(X_109)))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(X_109)),bind(X_28,$fot(converse(complement(converse(complement(complement(X_109)))))))]]) ).
cnf(refute_0_1406,plain,
( meet(X_109,converse(complement(converse(complement(complement(X_109)))))) != meet(X_109,converse(complement(converse(X_109))))
| meet(converse(complement(converse(complement(complement(X_109))))),X_109) != meet(X_109,converse(complement(converse(complement(complement(X_109))))))
| meet(converse(complement(converse(complement(complement(X_109))))),X_109) = meet(X_109,converse(complement(converse(X_109)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_109))))),X_109))),bind(Y,$fot(meet(X_109,converse(complement(converse(complement(complement(X_109)))))))),bind(Z,$fot(meet(X_109,converse(complement(converse(X_109))))))]]) ).
cnf(refute_0_1407,plain,
( meet(X_109,converse(complement(converse(complement(complement(X_109)))))) != meet(X_109,converse(complement(converse(X_109))))
| meet(converse(complement(converse(complement(complement(X_109))))),X_109) = meet(X_109,converse(complement(converse(X_109)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(X_109,converse(complement(converse(complement(complement(X_109))))))) )],[refute_0_1405,refute_0_1406]) ).
cnf(refute_0_1408,plain,
meet(converse(complement(converse(complement(complement(X_109))))),X_109) = meet(X_109,converse(complement(converse(X_109)))),
inference(resolve,[$cnf( $equal(meet(X_109,converse(complement(converse(complement(complement(X_109)))))),meet(X_109,converse(complement(converse(X_109))))) )],[refute_0_1404,refute_0_1407]) ).
cnf(refute_0_1409,plain,
join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) = join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)),
introduced(tautology,[refl,[$fot(join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)))]]) ).
cnf(refute_0_1410,plain,
( join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) != join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109))
| meet(converse(complement(converse(complement(complement(X_109))))),X_109) != meet(X_109,converse(complement(converse(X_109))))
| join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)),join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109))) ),[1,1],$fot(meet(X_109,converse(complement(converse(X_109)))))]]) ).
cnf(refute_0_1411,plain,
( meet(converse(complement(converse(complement(complement(X_109))))),X_109) != meet(X_109,converse(complement(converse(X_109))))
| join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)),join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_109))))),X_109),meet(X_109,converse(complement(converse(X_109))))) )],[refute_0_1408,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) = join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(X_109))),bind(X1,$fot(meet(converse(complement(converse(complement(complement(X_109))))),X_109)))]]) ).
cnf(refute_0_1414,plain,
( join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) != join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))
| join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) != join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109))
| join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)))),bind(Y,$fot(join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)))),bind(Z,$fot(join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))))]]) ).
cnf(refute_0_1415,plain,
( join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)) != join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))
| join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)),join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109))) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))),
inference(resolve,[$cnf( $equal(join(complement(X_109),meet(converse(complement(converse(complement(complement(X_109))))),X_109)),join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))) )],[refute_0_1412,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( converse(complement(converse(X_109))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))
| join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)) != join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))
| converse(complement(converse(X_109))) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_109))),join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)))]]) ).
cnf(refute_0_1418,plain,
( converse(complement(converse(X_109))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))
| converse(complement(converse(X_109))) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109)),join(complement(X_109),meet(X_109,converse(complement(converse(X_109)))))) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
( converse(complement(converse(complement(complement(X_109))))) != join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))
| converse(complement(converse(X_109))) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_109))),join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))) )],[refute_0_1400,refute_0_1418]) ).
cnf(refute_0_1420,plain,
converse(complement(converse(X_109))) = join(complement(X_109),meet(X_109,converse(complement(converse(X_109))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_109))))),join(meet(converse(complement(converse(complement(complement(X_109))))),X_109),complement(X_109))) )],[refute_0_1385,refute_0_1419]) ).
cnf(refute_0_1421,plain,
converse(complement(converse(X_243))) = join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))),
inference(subst,[],[refute_0_1420:[bind(X_109,$fot(X_243))]]) ).
cnf(refute_0_1422,plain,
( converse(complement(converse(X_243))) != join(complement(X_243),meet(X_243,converse(complement(converse(X_243)))))
| join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))) = converse(complement(converse(X_243))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(converse(X_243))))),bind(Y,$fot(join(complement(X_243),meet(X_243,converse(complement(converse(X_243)))))))]]) ).
cnf(refute_0_1423,plain,
join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))) = converse(complement(converse(X_243))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_243))),join(complement(X_243),meet(X_243,converse(complement(converse(X_243)))))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))) != converse(complement(converse(X_243)))
| join(complement(converse(complement(X_243))),converse(join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))))) != top
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))))),top) ),[0,1,0],$fot(converse(complement(converse(X_243))))]]) ).
cnf(refute_0_1425,plain,
( join(complement(converse(complement(X_243))),converse(join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))))) != top
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))),converse(complement(converse(X_243)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(join(complement(X_243),meet(X_243,converse(complement(converse(X_243))))))),top) )],[refute_0_1378,refute_0_1425]) ).
cnf(refute_0_1427,plain,
join(complement(converse(X_243)),complement(converse(complement(X_243)))) = complement(meet(converse(X_243),converse(complement(X_243)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(converse(X_243))),bind(X1,$fot(converse(complement(X_243))))]]) ).
cnf(refute_0_1428,plain,
join(complement(converse(complement(X_243))),complement(converse(X_243))) = join(complement(converse(X_243)),complement(converse(complement(X_243)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(converse(complement(X_243))))),bind(X_20,$fot(complement(converse(X_243))))]]) ).
cnf(refute_0_1429,plain,
( join(complement(converse(X_243)),complement(converse(complement(X_243)))) != complement(meet(converse(X_243),converse(complement(X_243))))
| join(complement(converse(complement(X_243))),complement(converse(X_243))) != join(complement(converse(X_243)),complement(converse(complement(X_243))))
| join(complement(converse(complement(X_243))),complement(converse(X_243))) = complement(meet(converse(X_243),converse(complement(X_243)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(X_243))),complement(converse(X_243))))),bind(Y,$fot(join(complement(converse(X_243)),complement(converse(complement(X_243)))))),bind(Z,$fot(complement(meet(converse(X_243),converse(complement(X_243))))))]]) ).
cnf(refute_0_1430,plain,
( join(complement(converse(X_243)),complement(converse(complement(X_243)))) != complement(meet(converse(X_243),converse(complement(X_243))))
| join(complement(converse(complement(X_243))),complement(converse(X_243))) = complement(meet(converse(X_243),converse(complement(X_243)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),complement(converse(X_243))),join(complement(converse(X_243)),complement(converse(complement(X_243))))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
join(complement(converse(complement(X_243))),complement(converse(X_243))) = complement(meet(converse(X_243),converse(complement(X_243)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_243)),complement(converse(complement(X_243)))),complement(meet(converse(X_243),converse(complement(X_243))))) )],[refute_0_1427,refute_0_1430]) ).
cnf(refute_0_1432,plain,
converse(converse(complement(converse(X_243)))) = complement(converse(X_243)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(complement(converse(X_243))))]]) ).
cnf(refute_0_1433,plain,
join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))))]]) ).
cnf(refute_0_1434,plain,
( converse(converse(complement(converse(X_243)))) != complement(converse(X_243))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) != join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243)))))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = join(complement(converse(complement(X_243))),complement(converse(X_243))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243)))))) ),[1,1],$fot(complement(converse(X_243)))]]) ).
cnf(refute_0_1435,plain,
( converse(converse(complement(converse(X_243)))) != complement(converse(X_243))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = join(complement(converse(complement(X_243))),complement(converse(X_243))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243)))))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = join(complement(converse(complement(X_243))),complement(converse(X_243))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_243)))),complement(converse(X_243))) )],[refute_0_1432,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( join(complement(converse(complement(X_243))),complement(converse(X_243))) != complement(meet(converse(X_243),converse(complement(X_243))))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) != join(complement(converse(complement(X_243))),complement(converse(X_243)))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = complement(meet(converse(X_243),converse(complement(X_243)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))))),bind(Y,$fot(join(complement(converse(complement(X_243))),complement(converse(X_243))))),bind(Z,$fot(complement(meet(converse(X_243),converse(complement(X_243))))))]]) ).
cnf(refute_0_1438,plain,
( join(complement(converse(complement(X_243))),complement(converse(X_243))) != complement(meet(converse(X_243),converse(complement(X_243))))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = complement(meet(converse(X_243),converse(complement(X_243)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),join(complement(converse(complement(X_243))),complement(converse(X_243)))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) = complement(meet(converse(X_243),converse(complement(X_243)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),complement(converse(X_243))),complement(meet(converse(X_243),converse(complement(X_243))))) )],[refute_0_1431,refute_0_1438]) ).
cnf(refute_0_1440,plain,
( join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) != complement(meet(converse(X_243),converse(complement(X_243))))
| join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) != top
| complement(meet(converse(X_243),converse(complement(X_243)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),top) ),[0],$fot(complement(meet(converse(X_243),converse(complement(X_243)))))]]) ).
cnf(refute_0_1441,plain,
( join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))) != top
| complement(meet(converse(X_243),converse(complement(X_243)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),complement(meet(converse(X_243),converse(complement(X_243))))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
complement(meet(converse(X_243),converse(complement(X_243)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_243))),converse(converse(complement(converse(X_243))))),top) )],[refute_0_1426,refute_0_1441]) ).
cnf(refute_0_1443,plain,
complement(meet(converse(X_244),converse(complement(X_244)))) = top,
inference(subst,[],[refute_0_1442:[bind(X_243,$fot(X_244))]]) ).
cnf(refute_0_1444,plain,
( complement(meet(converse(X_244),converse(complement(X_244)))) != top
| meet(converse(X_244),converse(complement(X_244))) != complement(complement(meet(converse(X_244),converse(complement(X_244)))))
| meet(converse(X_244),converse(complement(X_244))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_244),converse(complement(X_244))),complement(complement(meet(converse(X_244),converse(complement(X_244)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1445,plain,
( meet(converse(X_244),converse(complement(X_244))) != complement(complement(meet(converse(X_244),converse(complement(X_244)))))
| meet(converse(X_244),converse(complement(X_244))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(X_244),converse(complement(X_244)))),top) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
meet(converse(X_244),converse(complement(X_244))) = complement(top),
inference(resolve,[$cnf( $equal(meet(converse(X_244),converse(complement(X_244))),complement(complement(meet(converse(X_244),converse(complement(X_244)))))) )],[refute_0_1282,refute_0_1445]) ).
cnf(refute_0_1447,plain,
( complement(top) != zero
| meet(converse(X_244),converse(complement(X_244))) != complement(top)
| meet(converse(X_244),converse(complement(X_244))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_244),converse(complement(X_244))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1448,plain,
( meet(converse(X_244),converse(complement(X_244))) != complement(top)
| meet(converse(X_244),converse(complement(X_244))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_1447]) ).
cnf(refute_0_1449,plain,
meet(converse(X_244),converse(complement(X_244))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(X_244),converse(complement(X_244))),complement(top)) )],[refute_0_1446,refute_0_1448]) ).
cnf(refute_0_1450,plain,
meet(converse(X_125),converse(complement(X_125))) = zero,
inference(subst,[],[refute_0_1449:[bind(X_244,$fot(X_125))]]) ).
cnf(refute_0_1451,plain,
join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))))]]) ).
cnf(refute_0_1452,plain,
( join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) != join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))
| meet(converse(X_125),converse(complement(X_125))) != zero
| join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = join(complement(converse(X_125)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1453,plain,
( meet(converse(X_125),converse(complement(X_125))) != zero
| join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = join(complement(converse(X_125)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = join(complement(converse(X_125)),zero),
inference(resolve,[$cnf( $equal(meet(converse(X_125),converse(complement(X_125))),zero) )],[refute_0_1450,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) != join(complement(converse(X_125)),zero)
| join(complement(converse(X_125)),zero) != complement(converse(X_125))
| join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = complement(converse(X_125)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))))),bind(Y,$fot(join(complement(converse(X_125)),zero))),bind(Z,$fot(complement(converse(X_125))))]]) ).
cnf(refute_0_1456,plain,
( join(complement(converse(X_125)),zero) != complement(converse(X_125))
| join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = complement(converse(X_125)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),join(complement(converse(X_125)),zero)) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) = complement(converse(X_125)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),zero),complement(converse(X_125))) )],[refute_0_1281,refute_0_1456]) ).
cnf(refute_0_1458,plain,
( converse(complement(X_125)) != join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))
| join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))) != complement(converse(X_125))
| converse(complement(X_125)) = complement(converse(X_125)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_125)),complement(converse(X_125))) ),[0],$fot(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))))]]) ).
cnf(refute_0_1459,plain,
( converse(complement(X_125)) != join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))
| converse(complement(X_125)) = complement(converse(X_125)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125)))),complement(converse(X_125))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
converse(complement(X_125)) = complement(converse(X_125)),
inference(resolve,[$cnf( $equal(converse(complement(X_125)),join(complement(converse(X_125)),meet(converse(X_125),converse(complement(X_125))))) )],[refute_0_1027,refute_0_1459]) ).
cnf(refute_0_1461,plain,
converse(complement(composition(top,complement(converse(X0))))) = complement(converse(composition(top,complement(converse(X0))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,complement(converse(X0)))))]]) ).
cnf(refute_0_1462,plain,
join(X0,converse(complement(composition(top,complement(converse(X0)))))) = join(X0,converse(complement(composition(top,complement(converse(X0)))))),
introduced(tautology,[refl,[$fot(join(X0,converse(complement(composition(top,complement(converse(X0)))))))]]) ).
cnf(refute_0_1463,plain,
( converse(complement(composition(top,complement(converse(X0))))) != complement(converse(composition(top,complement(converse(X0)))))
| join(X0,converse(complement(composition(top,complement(converse(X0)))))) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| join(X0,converse(complement(composition(top,complement(converse(X0)))))) = join(X0,complement(converse(composition(top,complement(converse(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(complement(composition(top,complement(converse(X0)))))),join(X0,converse(complement(composition(top,complement(converse(X0))))))) ),[1,1],$fot(complement(converse(composition(top,complement(converse(X0))))))]]) ).
cnf(refute_0_1464,plain,
( converse(complement(composition(top,complement(converse(X0))))) != complement(converse(composition(top,complement(converse(X0)))))
| join(X0,converse(complement(composition(top,complement(converse(X0)))))) = join(X0,complement(converse(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(composition(top,complement(converse(X0)))))),join(X0,converse(complement(composition(top,complement(converse(X0))))))) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
join(X0,converse(complement(composition(top,complement(converse(X0)))))) = join(X0,complement(converse(composition(top,complement(converse(X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(converse(X0))))),complement(converse(composition(top,complement(converse(X0)))))) )],[refute_0_1461,refute_0_1464]) ).
cnf(refute_0_1466,plain,
( X0 != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| join(X0,converse(complement(composition(top,complement(converse(X0)))))) != join(X0,complement(converse(composition(top,complement(converse(X0))))))
| X0 = join(X0,complement(converse(composition(top,complement(converse(X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(X0,complement(converse(composition(top,complement(converse(X0))))))) ),[0],$fot(join(X0,converse(complement(composition(top,complement(converse(X0)))))))]]) ).
cnf(refute_0_1467,plain,
( X0 != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| X0 = join(X0,complement(converse(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(composition(top,complement(converse(X0)))))),join(X0,complement(converse(composition(top,complement(converse(X0))))))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
( converse(converse(X0)) != join(X0,converse(complement(composition(top,complement(converse(X0))))))
| X0 = join(X0,complement(converse(composition(top,complement(converse(X0)))))) ),
inference(resolve,[$cnf( $equal(X0,join(X0,converse(complement(composition(top,complement(converse(X0))))))) )],[refute_0_874,refute_0_1467]) ).
cnf(refute_0_1469,plain,
X0 = join(X0,complement(converse(composition(top,complement(converse(X0)))))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(X0,converse(complement(composition(top,complement(converse(X0))))))) )],[refute_0_872,refute_0_1468]) ).
cnf(refute_0_1470,plain,
X_679 = join(X_679,complement(converse(composition(top,complement(converse(X_679)))))),
inference(subst,[],[refute_0_1469:[bind(X0,$fot(X_679))]]) ).
cnf(refute_0_1471,plain,
( X_679 != join(X_679,complement(converse(composition(top,complement(converse(X_679))))))
| join(X_679,complement(converse(composition(top,complement(converse(X_679)))))) = X_679 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_679)),bind(Y,$fot(join(X_679,complement(converse(composition(top,complement(converse(X_679))))))))]]) ).
cnf(refute_0_1472,plain,
join(X_679,complement(converse(composition(top,complement(converse(X_679)))))) = X_679,
inference(resolve,[$cnf( $equal(X_679,join(X_679,complement(converse(composition(top,complement(converse(X_679))))))) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
( join(X_679,complement(converse(composition(top,complement(converse(X_679)))))) != X_679
| meet(complement(X_679),converse(composition(top,complement(converse(X_679))))) != complement(join(X_679,complement(converse(composition(top,complement(converse(X_679)))))))
| meet(complement(X_679),converse(composition(top,complement(converse(X_679))))) = complement(X_679) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_679),converse(composition(top,complement(converse(X_679))))),complement(join(X_679,complement(converse(composition(top,complement(converse(X_679)))))))) ),[1,0],$fot(X_679)]]) ).
cnf(refute_0_1474,plain,
( meet(complement(X_679),converse(composition(top,complement(converse(X_679))))) != complement(join(X_679,complement(converse(composition(top,complement(converse(X_679)))))))
| meet(complement(X_679),converse(composition(top,complement(converse(X_679))))) = complement(X_679) ),
inference(resolve,[$cnf( $equal(join(X_679,complement(converse(composition(top,complement(converse(X_679)))))),X_679) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
meet(complement(X_679),converse(composition(top,complement(converse(X_679))))) = complement(X_679),
inference(resolve,[$cnf( $equal(meet(complement(X_679),converse(composition(top,complement(converse(X_679))))),complement(join(X_679,complement(converse(composition(top,complement(converse(X_679)))))))) )],[refute_0_267,refute_0_1474]) ).
cnf(refute_0_1476,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_1475:[bind(X_679,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_1477,plain,
converse(join(X_4,converse(complement(one)))) = join(converse(X_4),complement(one)),
inference(subst,[],[refute_0_400:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1478,plain,
converse(join(converse(complement(one)),complement(one))) = converse(join(complement(one),converse(complement(one)))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_1479,plain,
join(complement(X_24),join(complement(X_24),X_57)) = join(join(complement(X_24),complement(X_24)),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(X_24))),bind(X1,$fot(complement(X_24))),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_1480,plain,
( join(complement(X_24),complement(X_24)) != complement(X_24)
| join(complement(X_24),join(complement(X_24),X_57)) != join(join(complement(X_24),complement(X_24)),X_57)
| join(complement(X_24),join(complement(X_24),X_57)) = join(complement(X_24),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),join(complement(X_24),X_57)),join(join(complement(X_24),complement(X_24)),X_57)) ),[1,0],$fot(complement(X_24))]]) ).
cnf(refute_0_1481,plain,
( join(complement(X_24),join(complement(X_24),X_57)) != join(join(complement(X_24),complement(X_24)),X_57)
| join(complement(X_24),join(complement(X_24),X_57)) = join(complement(X_24),X_57) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),complement(X_24)),complement(X_24)) )],[refute_0_111,refute_0_1480]) ).
cnf(refute_0_1482,plain,
join(complement(X_24),join(complement(X_24),X_57)) = join(complement(X_24),X_57),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(X_24),X_57)),join(join(complement(X_24),complement(X_24)),X_57)) )],[refute_0_1479,refute_0_1481]) ).
cnf(refute_0_1483,plain,
join(complement(one),join(complement(one),meet(one,converse(complement(one))))) = join(complement(one),meet(one,converse(complement(one)))),
inference(subst,[],[refute_0_1482:[bind(X_24,$fot(one)),bind(X_57,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1484,plain,
converse(complement(one)) = join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one)))),
inference(subst,[],[refute_0_1046:[bind(X_95,$fot(converse(complement(one)))),bind(X_96,$fot(one))]]) ).
cnf(refute_0_1485,plain,
complement(one) = meet(complement(one),converse(complement(converse(one)))),
inference(subst,[],[refute_0_999:[bind(X_105,$fot(one))]]) ).
cnf(refute_0_1486,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_1487,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_1486]) ).
cnf(refute_0_1488,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) )],[refute_0_1485,refute_0_1487]) ).
cnf(refute_0_1489,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_1490,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))
| meet(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = join(meet(converse(complement(one)),one),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1492,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))
| converse(complement(one)) = join(meet(converse(complement(one)),one),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1490,refute_0_1491]) ).
cnf(refute_0_1493,plain,
converse(complement(one)) = join(meet(converse(complement(one)),one),complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(converse(complement(one)),one),meet(complement(one),converse(complement(one))))) )],[refute_0_1484,refute_0_1492]) ).
cnf(refute_0_1494,plain,
meet(converse(complement(one)),one) = meet(one,converse(complement(one))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(one)),bind(X_28,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1495,plain,
join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(one)),one)))]]) ).
cnf(refute_0_1496,plain,
( join(complement(one),meet(converse(complement(one)),one)) != join(complement(one),meet(converse(complement(one)),one))
| meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),one)),join(complement(one),meet(converse(complement(one)),one))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_1497,plain,
( meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),one)),join(complement(one),meet(converse(complement(one)),one))) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
join(complement(one),meet(converse(complement(one)),one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),one),meet(one,converse(complement(one)))) )],[refute_0_1494,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(converse(complement(one)),one)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(converse(complement(one)),one)))]]) ).
cnf(refute_0_1500,plain,
( join(complement(one),meet(converse(complement(one)),one)) != join(complement(one),meet(one,converse(complement(one))))
| join(meet(converse(complement(one)),one),complement(one)) != join(complement(one),meet(converse(complement(one)),one))
| join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(converse(complement(one)),one),complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(complement(one)),one)))),bind(Z,$fot(join(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1501,plain,
( join(complement(one),meet(converse(complement(one)),one)) != join(complement(one),meet(one,converse(complement(one))))
| join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(one)),one),complement(one)),join(complement(one),meet(converse(complement(one)),one))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
join(meet(converse(complement(one)),one),complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1498,refute_0_1501]) ).
cnf(refute_0_1503,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),complement(one))
| join(meet(converse(complement(one)),one),complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) ),[0],$fot(join(meet(converse(complement(one)),one),complement(one)))]]) ).
cnf(refute_0_1504,plain,
( converse(complement(one)) != join(meet(converse(complement(one)),one),complement(one))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(one)),one),complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(converse(complement(one)),one),complement(one))) )],[refute_0_1493,refute_0_1504]) ).
cnf(refute_0_1506,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1507,plain,
join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
( join(complement(one),join(complement(one),meet(one,converse(complement(one))))) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) != converse(complement(one))
| join(complement(one),converse(complement(one))) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,converse(complement(one))))),join(complement(one),meet(one,converse(complement(one))))) ),[0,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1509,plain,
( join(complement(one),join(complement(one),meet(one,converse(complement(one))))) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),converse(complement(one))) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),converse(complement(one))) )],[refute_0_1507,refute_0_1508]) ).
cnf(refute_0_1510,plain,
join(complement(one),converse(complement(one))) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,converse(complement(one))))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1483,refute_0_1509]) ).
cnf(refute_0_1511,plain,
( join(complement(one),converse(complement(one))) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) != converse(complement(one))
| join(complement(one),converse(complement(one))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),converse(complement(one))),converse(complement(one))) ),[0],$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1512,plain,
( join(complement(one),converse(complement(one))) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),converse(complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),converse(complement(one))) )],[refute_0_1507,refute_0_1511]) ).
cnf(refute_0_1513,plain,
join(complement(one),converse(complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1510,refute_0_1512]) ).
cnf(refute_0_1514,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| join(complement(one),converse(complement(one))) != converse(complement(one))
| converse(join(converse(complement(one)),complement(one))) = converse(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1515,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| converse(join(converse(complement(one)),complement(one))) = converse(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),converse(complement(one))) )],[refute_0_1513,refute_0_1514]) ).
cnf(refute_0_1516,plain,
converse(join(converse(complement(one)),complement(one))) = converse(converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1478,refute_0_1515]) ).
cnf(refute_0_1517,plain,
join(converse(complement(one)),complement(one)) = join(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1518,plain,
( join(complement(one),converse(complement(one))) != converse(complement(one))
| join(converse(complement(one)),complement(one)) != join(complement(one),converse(complement(one)))
| join(converse(complement(one)),complement(one)) = converse(complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),complement(one)))),bind(Y,$fot(join(complement(one),converse(complement(one))))),bind(Z,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1519,plain,
( join(complement(one),converse(complement(one))) != converse(complement(one))
| join(converse(complement(one)),complement(one)) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),join(complement(one),converse(complement(one)))) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
join(converse(complement(one)),complement(one)) = converse(complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(one))),converse(complement(one))) )],[refute_0_1513,refute_0_1519]) ).
cnf(refute_0_1521,plain,
converse(join(complement(one),converse(complement(one)))) = join(converse(complement(one)),complement(one)),
inference(subst,[],[refute_0_400:[bind(X0,$fot(complement(one))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_1522,plain,
( converse(join(complement(one),converse(complement(one)))) != join(converse(complement(one)),complement(one))
| join(converse(complement(one)),complement(one)) != converse(complement(one))
| converse(join(complement(one),converse(complement(one)))) = converse(complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(one),converse(complement(one)))))),bind(Y,$fot(join(converse(complement(one)),complement(one)))),bind(Z,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1523,plain,
( join(converse(complement(one)),complement(one)) != converse(complement(one))
| converse(join(complement(one),converse(complement(one)))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(one)))),join(converse(complement(one)),complement(one))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
converse(join(complement(one),converse(complement(one)))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(one)),converse(complement(one))) )],[refute_0_1520,refute_0_1523]) ).
cnf(refute_0_1525,plain,
( converse(join(complement(one),converse(complement(one)))) != converse(complement(one))
| converse(join(converse(complement(one)),complement(one))) != converse(join(complement(one),converse(complement(one))))
| converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(complement(one)),complement(one))))),bind(Y,$fot(converse(join(complement(one),converse(complement(one)))))),bind(Z,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1526,plain,
( converse(join(complement(one),converse(complement(one)))) != converse(complement(one))
| converse(join(converse(complement(one)),complement(one))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(join(complement(one),converse(complement(one))))) )],[refute_0_1478,refute_0_1525]) ).
cnf(refute_0_1527,plain,
converse(join(converse(complement(one)),complement(one))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(one)))),converse(complement(one))) )],[refute_0_1524,refute_0_1526]) ).
cnf(refute_0_1528,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(complement(one))
| converse(join(converse(complement(one)),complement(one))) != converse(converse(complement(one)))
| converse(complement(one)) = converse(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(converse(complement(one)))) ),[0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1529,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(converse(complement(one)))
| converse(complement(one)) = converse(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(complement(one))) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
converse(converse(complement(one))) = complement(one),
inference(subst,[],[refute_0_59:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1531,plain,
( converse(complement(one)) != converse(converse(complement(one)))
| converse(converse(complement(one))) != complement(one)
| converse(complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),complement(one)) ),[0],$fot(converse(converse(complement(one))))]]) ).
cnf(refute_0_1532,plain,
( converse(complement(one)) != converse(converse(complement(one)))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(one))),complement(one)) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( converse(join(converse(complement(one)),complement(one))) != converse(converse(complement(one)))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),converse(converse(complement(one)))) )],[refute_0_1529,refute_0_1532]) ).
cnf(refute_0_1534,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),complement(one))),converse(converse(complement(one)))) )],[refute_0_1516,refute_0_1533]) ).
cnf(refute_0_1535,plain,
( converse(complement(one)) != complement(one)
| converse(join(X_4,converse(complement(one)))) != join(converse(X_4),complement(one))
| converse(join(X_4,complement(one))) = join(converse(X_4),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(complement(one)))),join(converse(X_4),complement(one))) ),[0,0,1],$fot(complement(one))]]) ).
cnf(refute_0_1536,plain,
( converse(join(X_4,converse(complement(one)))) != join(converse(X_4),complement(one))
| converse(join(X_4,complement(one))) = join(converse(X_4),complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
converse(join(X_4,complement(one))) = join(converse(X_4),complement(one)),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(complement(one)))),join(converse(X_4),complement(one))) )],[refute_0_1477,refute_0_1536]) ).
cnf(refute_0_1538,plain,
join(converse(X_4),complement(one)) = join(complement(one),converse(X_4)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(X_4)))]]) ).
cnf(refute_0_1539,plain,
( converse(join(X_4,complement(one))) != join(converse(X_4),complement(one))
| join(converse(X_4),complement(one)) != join(complement(one),converse(X_4))
| converse(join(X_4,complement(one))) = join(complement(one),converse(X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_4,complement(one))),join(complement(one),converse(X_4))) ),[0],$fot(join(converse(X_4),complement(one)))]]) ).
cnf(refute_0_1540,plain,
( converse(join(X_4,complement(one))) != join(converse(X_4),complement(one))
| converse(join(X_4,complement(one))) = join(complement(one),converse(X_4)) ),
inference(resolve,[$cnf( $equal(join(converse(X_4),complement(one)),join(complement(one),converse(X_4))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
converse(join(X_4,complement(one))) = join(complement(one),converse(X_4)),
inference(resolve,[$cnf( $equal(converse(join(X_4,complement(one))),join(converse(X_4),complement(one))) )],[refute_0_1537,refute_0_1540]) ).
cnf(refute_0_1542,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1541:[bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1543,plain,
converse(skolemFOFtoCNF_X0) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1544,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_96,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1545,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1546,plain,
converse(top) = join(join(X_22,converse(X_21)),converse(complement(converse(join(X_22,converse(X_21)))))),
inference(subst,[],[refute_0_320:[bind(X_6,$fot(join(X_22,converse(X_21))))]]) ).
cnf(refute_0_1547,plain,
converse(join(X_22,converse(X_21))) = join(converse(X_22),X_21),
inference(subst,[],[refute_0_400:[bind(X0,$fot(X_21)),bind(X_4,$fot(X_22))]]) ).
cnf(refute_0_1548,plain,
( converse(join(X_22,converse(X_21))) != join(converse(X_22),X_21)
| converse(top) != join(join(X_22,converse(X_21)),converse(complement(converse(join(X_22,converse(X_21))))))
| converse(top) = join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_22,converse(X_21)),converse(complement(converse(join(X_22,converse(X_21))))))) ),[1,1,0,0],$fot(join(converse(X_22),X_21))]]) ).
cnf(refute_0_1549,plain,
( converse(top) != join(join(X_22,converse(X_21)),converse(complement(converse(join(X_22,converse(X_21))))))
| converse(top) = join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_22,converse(X_21))),join(converse(X_22),X_21)) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
converse(top) = join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_22,converse(X_21)),converse(complement(converse(join(X_22,converse(X_21))))))) )],[refute_0_1546,refute_0_1549]) ).
cnf(refute_0_1551,plain,
join(converse(X_21),converse(complement(join(converse(X_22),X_21)))) = converse(join(X_21,complement(join(converse(X_22),X_21)))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(X_21)),bind(X1,$fot(complement(join(converse(X_22),X_21))))]]) ).
cnf(refute_0_1552,plain,
join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) = join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))),
introduced(tautology,[refl,[$fot(join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))))]]) ).
cnf(refute_0_1553,plain,
( join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) != join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21)))))
| join(converse(X_21),converse(complement(join(converse(X_22),X_21)))) != converse(join(X_21,complement(join(converse(X_22),X_21))))
| join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))),join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21)))))) ),[1,1],$fot(converse(join(X_21,complement(join(converse(X_22),X_21)))))]]) ).
cnf(refute_0_1554,plain,
( join(converse(X_21),converse(complement(join(converse(X_22),X_21)))) != converse(join(X_21,complement(join(converse(X_22),X_21))))
| join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
inference(resolve,[$cnf( $equal(join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))),join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21)))))) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))),
inference(resolve,[$cnf( $equal(join(converse(X_21),converse(complement(join(converse(X_22),X_21)))),converse(join(X_21,complement(join(converse(X_22),X_21))))) )],[refute_0_1551,refute_0_1554]) ).
cnf(refute_0_1556,plain,
join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) = join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_22)),bind(X1,$fot(converse(X_21))),bind(X2,$fot(converse(complement(join(converse(X_22),X_21)))))]]) ).
cnf(refute_0_1557,plain,
( join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) != join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))
| join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) != join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21)))))
| join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))))),bind(Y,$fot(join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))))),bind(Z,$fot(join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))))]]) ).
cnf(refute_0_1558,plain,
( join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))) != join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))
| join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
inference(resolve,[$cnf( $equal(join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))),join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21)))))) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))),
inference(resolve,[$cnf( $equal(join(X_22,join(converse(X_21),converse(complement(join(converse(X_22),X_21))))),join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))) )],[refute_0_1555,refute_0_1558]) ).
cnf(refute_0_1560,plain,
( converse(top) != join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21))))
| join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))) != join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))
| converse(top) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))) ),[0],$fot(join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))))]]) ).
cnf(refute_0_1561,plain,
( converse(top) != join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21))))
| converse(top) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
inference(resolve,[$cnf( $equal(join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21)))),join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))) )],[refute_0_1559,refute_0_1560]) ).
cnf(refute_0_1562,plain,
converse(top) = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_22,converse(X_21)),converse(complement(join(converse(X_22),X_21))))) )],[refute_0_1550,refute_0_1561]) ).
cnf(refute_0_1563,plain,
( converse(top) != join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))
| converse(top) != top
| top = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1564,plain,
( converse(top) != join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))
| top = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_1563]) ).
cnf(refute_0_1565,plain,
top = join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_22,converse(join(X_21,complement(join(converse(X_22),X_21)))))) )],[refute_0_1562,refute_0_1564]) ).
cnf(refute_0_1566,plain,
top = join(X_213,converse(join(composition(X_144,converse(X_213)),complement(join(converse(X_213),composition(X_144,converse(X_213))))))),
inference(subst,[],[refute_0_1565:[bind(X_21,$fot(composition(X_144,converse(X_213)))),bind(X_22,$fot(X_213))]]) ).
cnf(refute_0_1567,plain,
composition(join(X_144,one),converse(X_213)) = join(converse(X_213),composition(X_144,converse(X_213))),
inference(subst,[],[refute_0_834:[bind(X_146,$fot(converse(X_213)))]]) ).
cnf(refute_0_1568,plain,
( composition(join(X_144,one),converse(X_213)) != join(converse(X_213),composition(X_144,converse(X_213)))
| join(converse(X_213),composition(X_144,converse(X_213))) = composition(join(X_144,one),converse(X_213)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_144,one),converse(X_213)))),bind(Y,$fot(join(converse(X_213),composition(X_144,converse(X_213)))))]]) ).
cnf(refute_0_1569,plain,
join(converse(X_213),composition(X_144,converse(X_213))) = composition(join(X_144,one),converse(X_213)),
inference(resolve,[$cnf( $equal(composition(join(X_144,one),converse(X_213)),join(converse(X_213),composition(X_144,converse(X_213)))) )],[refute_0_1567,refute_0_1568]) ).
cnf(refute_0_1570,plain,
( join(converse(X_213),composition(X_144,converse(X_213))) != composition(join(X_144,one),converse(X_213))
| top != join(X_213,converse(join(composition(X_144,converse(X_213)),complement(join(converse(X_213),composition(X_144,converse(X_213)))))))
| top = join(X_213,converse(join(composition(X_144,converse(X_213)),complement(composition(join(X_144,one),converse(X_213)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_213,converse(join(composition(X_144,converse(X_213)),complement(join(converse(X_213),composition(X_144,converse(X_213)))))))) ),[1,1,0,1,0],$fot(composition(join(X_144,one),converse(X_213)))]]) ).
cnf(refute_0_1571,plain,
( top != join(X_213,converse(join(composition(X_144,converse(X_213)),complement(join(converse(X_213),composition(X_144,converse(X_213)))))))
| top = join(X_213,converse(join(composition(X_144,converse(X_213)),complement(composition(join(X_144,one),converse(X_213)))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_213),composition(X_144,converse(X_213))),composition(join(X_144,one),converse(X_213))) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
top = join(X_213,converse(join(composition(X_144,converse(X_213)),complement(composition(join(X_144,one),converse(X_213)))))),
inference(resolve,[$cnf( $equal(top,join(X_213,converse(join(composition(X_144,converse(X_213)),complement(join(converse(X_213),composition(X_144,converse(X_213)))))))) )],[refute_0_1566,refute_0_1571]) ).
cnf(refute_0_1573,plain,
top = join(X_556,converse(join(composition(complement(one),converse(X_556)),complement(composition(join(complement(one),one),converse(X_556)))))),
inference(subst,[],[refute_0_1572:[bind(X_144,$fot(complement(one))),bind(X_213,$fot(X_556))]]) ).
cnf(refute_0_1574,plain,
converse(composition(X_11,converse(X0))) = composition(converse(converse(X0)),converse(X_11)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(X_11)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1575,plain,
( converse(composition(X_11,converse(X0))) != composition(converse(converse(X0)),converse(X_11))
| converse(converse(X0)) != X0
| converse(composition(X_11,converse(X0))) = composition(X0,converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(X0))),composition(converse(converse(X0)),converse(X_11))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1576,plain,
( converse(composition(X_11,converse(X0))) != composition(converse(converse(X0)),converse(X_11))
| converse(composition(X_11,converse(X0))) = composition(X0,converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_1575]) ).
cnf(refute_0_1577,plain,
converse(composition(X_11,converse(X0))) = composition(X0,converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(X0))),composition(converse(converse(X0)),converse(X_11))) )],[refute_0_1574,refute_0_1576]) ).
cnf(refute_0_1578,plain,
converse(composition(X_11,converse(complement(one)))) = composition(complement(one),converse(X_11)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1579,plain,
( converse(complement(one)) != complement(one)
| converse(composition(X_11,converse(complement(one)))) != composition(complement(one),converse(X_11))
| converse(composition(X_11,complement(one))) = composition(complement(one),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(complement(one)))),composition(complement(one),converse(X_11))) ),[0,0,1],$fot(complement(one))]]) ).
cnf(refute_0_1580,plain,
( converse(composition(X_11,converse(complement(one)))) != composition(complement(one),converse(X_11))
| converse(composition(X_11,complement(one))) = composition(complement(one),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_1579]) ).
cnf(refute_0_1581,plain,
converse(composition(X_11,complement(one))) = composition(complement(one),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(complement(one)))),composition(complement(one),converse(X_11))) )],[refute_0_1578,refute_0_1580]) ).
cnf(refute_0_1582,plain,
converse(composition(X_556,complement(one))) = composition(complement(one),converse(X_556)),
inference(subst,[],[refute_0_1581:[bind(X_11,$fot(X_556))]]) ).
cnf(refute_0_1583,plain,
( converse(composition(X_556,complement(one))) != composition(complement(one),converse(X_556))
| composition(complement(one),converse(X_556)) = converse(composition(X_556,complement(one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_556,complement(one))))),bind(Y,$fot(composition(complement(one),converse(X_556))))]]) ).
cnf(refute_0_1584,plain,
composition(complement(one),converse(X_556)) = converse(composition(X_556,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(X_556,complement(one))),composition(complement(one),converse(X_556))) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
( composition(complement(one),converse(X_556)) != converse(composition(X_556,complement(one)))
| top != join(X_556,converse(join(composition(complement(one),converse(X_556)),complement(composition(join(complement(one),one),converse(X_556))))))
| top = join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_556,converse(join(composition(complement(one),converse(X_556)),complement(composition(join(complement(one),one),converse(X_556))))))) ),[1,1,0,0],$fot(converse(composition(X_556,complement(one))))]]) ).
cnf(refute_0_1586,plain,
( top != join(X_556,converse(join(composition(complement(one),converse(X_556)),complement(composition(join(complement(one),one),converse(X_556))))))
| top = join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(X_556)),converse(composition(X_556,complement(one)))) )],[refute_0_1584,refute_0_1585]) ).
cnf(refute_0_1587,plain,
top = join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))),
inference(resolve,[$cnf( $equal(top,join(X_556,converse(join(composition(complement(one),converse(X_556)),complement(composition(join(complement(one),one),converse(X_556))))))) )],[refute_0_1573,refute_0_1586]) ).
cnf(refute_0_1588,plain,
join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(meet(X_95,X_96))),bind(X1,$fot(complement(join(complement(X_95),X_96))))]]) ).
cnf(refute_0_1589,plain,
( X_95 != join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))
| join(meet(X_95,X_96),complement(join(complement(X_95),X_96))) = X_95 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_95)),bind(Y,$fot(join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))))]]) ).
cnf(refute_0_1590,plain,
join(meet(X_95,X_96),complement(join(complement(X_95),X_96))) = X_95,
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X_96),complement(join(complement(X_95),X_96)))) )],[refute_0_875,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( join(meet(X_95,X_96),complement(join(complement(X_95),X_96))) != X_95
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) != join(join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),X2)
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(X_95,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),X2)) ),[1,0],$fot(X_95)]]) ).
cnf(refute_0_1592,plain,
( join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) != join(join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),X2)
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(X_95,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),X_95) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(X_95,X2),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(join(meet(X_95,X_96),complement(join(complement(X_95),X_96))),X2)) )],[refute_0_1588,refute_0_1592]) ).
cnf(refute_0_1594,plain,
join(complement(join(complement(X_95),X_96)),X2) = join(complement(join(complement(X_95),X_96)),X2),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X_95),X_96)),X2))]]) ).
cnf(refute_0_1595,plain,
( complement(join(complement(X_95),X_96)) != meet(X_95,complement(X_96))
| join(complement(join(complement(X_95),X_96)),X2) != join(complement(join(complement(X_95),X_96)),X2)
| join(complement(join(complement(X_95),X_96)),X2) = join(meet(X_95,complement(X_96)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X_95),X_96)),X2),join(complement(join(complement(X_95),X_96)),X2)) ),[1,0],$fot(meet(X_95,complement(X_96)))]]) ).
cnf(refute_0_1596,plain,
( complement(join(complement(X_95),X_96)) != meet(X_95,complement(X_96))
| join(complement(join(complement(X_95),X_96)),X2) = join(meet(X_95,complement(X_96)),X2) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_95),X_96)),X2),join(complement(join(complement(X_95),X_96)),X2)) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
join(complement(join(complement(X_95),X_96)),X2) = join(meet(X_95,complement(X_96)),X2),
inference(resolve,[$cnf( $equal(complement(join(complement(X_95),X_96)),meet(X_95,complement(X_96))) )],[refute_0_906,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),
introduced(tautology,[refl,[$fot(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)))]]) ).
cnf(refute_0_1599,plain,
( join(complement(join(complement(X_95),X_96)),X2) != join(meet(X_95,complement(X_96)),X2)
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) != join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2))
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2))) ),[1,1],$fot(join(meet(X_95,complement(X_96)),X2))]]) ).
cnf(refute_0_1600,plain,
( join(complement(join(complement(X_95),X_96)),X2) != join(meet(X_95,complement(X_96)),X2)
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) = join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X_95),X_96)),X2),join(meet(X_95,complement(X_96)),X2)) )],[refute_0_1597,refute_0_1600]) ).
cnf(refute_0_1602,plain,
( join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) != join(X_95,X2)
| join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) != join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2))
| join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)) = join(X_95,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(X_95,X2)) ),[0],$fot(join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)))]]) ).
cnf(refute_0_1603,plain,
( join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)) != join(X_95,X2)
| join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)) = join(X_95,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
join(meet(X_95,X_96),join(meet(X_95,complement(X_96)),X2)) = join(X_95,X2),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),join(complement(join(complement(X_95),X_96)),X2)),join(X_95,X2)) )],[refute_0_1593,refute_0_1603]) ).
cnf(refute_0_1605,plain,
join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X2)) = join(X_95,X2),
inference(subst,[],[refute_0_1604:[bind(X_96,$fot(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_1606,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))) = complement(X1),
inference(subst,[],[refute_0_55:[bind(X0,$fot(converse(complement(composition(X1,top)))))]]) ).
cnf(refute_0_1607,plain,
converse(composition(converse(X_119),complement(composition(X_119,top)))) = composition(converse(complement(composition(X_119,top))),converse(converse(X_119))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(X_119))),bind(X1,$fot(complement(composition(X_119,top))))]]) ).
cnf(refute_0_1608,plain,
composition(converse(X_119),complement(composition(X_119,top))) = zero,
inference(subst,[],[refute_0_727:[bind(X0,$fot(X_119))]]) ).
cnf(refute_0_1609,plain,
( composition(converse(X_119),complement(composition(X_119,top))) != zero
| converse(composition(converse(X_119),complement(composition(X_119,top)))) != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| converse(zero) = composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_119),complement(composition(X_119,top)))),composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1610,plain,
( converse(composition(converse(X_119),complement(composition(X_119,top)))) != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| converse(zero) = composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_119),complement(composition(X_119,top))),zero) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
converse(zero) = composition(converse(complement(composition(X_119,top))),converse(converse(X_119))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_119),complement(composition(X_119,top)))),composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))) )],[refute_0_1607,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( converse(zero) != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1613,plain,
( converse(zero) != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| zero = composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_1612]) ).
cnf(refute_0_1614,plain,
converse(composition(converse(X_119),complement(composition(X_119,top)))) = composition(converse(complement(composition(X_119,top))),X_119),
inference(subst,[],[refute_0_62:[bind(X0,$fot(X_119)),bind(X_12,$fot(complement(composition(X_119,top))))]]) ).
cnf(refute_0_1615,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_1616,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_57,refute_0_1615]) ).
cnf(refute_0_1617,plain,
composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) = converse(composition(converse(X_119),complement(composition(X_119,top)))),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(converse(X_119))),bind(X1,$fot(complement(composition(X_119,top))))]]) ).
cnf(refute_0_1618,plain,
( composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) != converse(composition(converse(X_119),complement(composition(X_119,top))))
| converse(composition(converse(X_119),complement(composition(X_119,top)))) != composition(converse(complement(composition(X_119,top))),X_119)
| composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) = composition(converse(complement(composition(X_119,top))),X_119) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(X_119,top))),converse(converse(X_119))))),bind(Y,$fot(converse(composition(converse(X_119),complement(composition(X_119,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_119,top))),X_119)))]]) ).
cnf(refute_0_1619,plain,
( converse(composition(converse(X_119),complement(composition(X_119,top)))) != composition(converse(complement(composition(X_119,top))),X_119)
| composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) = composition(converse(complement(composition(X_119,top))),X_119) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_119,top))),converse(converse(X_119))),converse(composition(converse(X_119),complement(composition(X_119,top))))) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) = composition(converse(complement(composition(X_119,top))),X_119),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_119),complement(composition(X_119,top)))),composition(converse(complement(composition(X_119,top))),X_119)) )],[refute_0_1614,refute_0_1619]) ).
cnf(refute_0_1621,plain,
( composition(converse(complement(composition(X_119,top))),converse(converse(X_119))) != composition(converse(complement(composition(X_119,top))),X_119)
| zero != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| zero = composition(converse(complement(composition(X_119,top))),X_119) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))) ),[1],$fot(composition(converse(complement(composition(X_119,top))),X_119))]]) ).
cnf(refute_0_1622,plain,
( zero != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| zero = composition(converse(complement(composition(X_119,top))),X_119) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_119,top))),converse(converse(X_119))),composition(converse(complement(composition(X_119,top))),X_119)) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
( converse(zero) != composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))
| zero = composition(converse(complement(composition(X_119,top))),X_119) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))) )],[refute_0_1613,refute_0_1622]) ).
cnf(refute_0_1624,plain,
zero = composition(converse(complement(composition(X_119,top))),X_119),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_119,top))),converse(converse(X_119)))) )],[refute_0_1611,refute_0_1623]) ).
cnf(refute_0_1625,plain,
zero = composition(converse(complement(composition(X1,top))),X1),
inference(subst,[],[refute_0_1624:[bind(X_119,$fot(X1))]]) ).
cnf(refute_0_1626,plain,
( zero != composition(converse(complement(composition(X1,top))),X1)
| composition(converse(complement(composition(X1,top))),X1) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X1,top))),X1)))]]) ).
cnf(refute_0_1627,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X1,top))),X1)) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
( composition(converse(complement(composition(X1,top))),X1) != zero
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))),complement(X1)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1629,plain,
( join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X1,top))),X1),zero) )],[refute_0_1627,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))),complement(X1)) )],[refute_0_1606,refute_0_1629]) ).
cnf(refute_0_1631,plain,
composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X1,top)),complement(zero)))]]) ).
cnf(refute_0_1632,plain,
( complement(zero) != top
| composition(complement(composition(X1,top)),complement(zero)) != composition(complement(composition(X1,top)),complement(zero))
| composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X1,top)),complement(zero)),composition(complement(composition(X1,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1633,plain,
( complement(zero) != top
| composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X1,top)),complement(zero)),composition(complement(composition(X1,top)),complement(zero))) )],[refute_0_1631,refute_0_1632]) ).
cnf(refute_0_1634,plain,
composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_1633]) ).
cnf(refute_0_1635,plain,
converse(converse(complement(composition(X1,top)))) = complement(composition(X1,top)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(complement(composition(X1,top))))]]) ).
cnf(refute_0_1636,plain,
composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(converse(converse(complement(composition(X1,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(X1,top)))),complement(zero)))]]) ).
cnf(refute_0_1637,plain,
( composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(converse(converse(complement(composition(X1,top)))),complement(zero))
| converse(converse(complement(composition(X1,top)))) != complement(composition(X1,top))
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) ),[1,0],$fot(complement(composition(X1,top)))]]) ).
cnf(refute_0_1638,plain,
( converse(converse(complement(composition(X1,top)))) != complement(composition(X1,top))
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(X1,top)))),complement(composition(X1,top))) )],[refute_0_1635,refute_0_1638]) ).
cnf(refute_0_1640,plain,
( composition(complement(composition(X1,top)),complement(zero)) != composition(complement(composition(X1,top)),top)
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(complement(composition(X1,top)),complement(zero))
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(complement(composition(X1,top)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(X1,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(X1,top)),top)))]]) ).
cnf(refute_0_1641,plain,
( composition(complement(composition(X1,top)),complement(zero)) != composition(complement(composition(X1,top)),top)
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(complement(composition(X1,top)),complement(zero))) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X1,top)),complement(zero)),composition(complement(composition(X1,top)),top)) )],[refute_0_1634,refute_0_1641]) ).
cnf(refute_0_1643,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))))]]) ).
cnf(refute_0_1644,plain,
( composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(complement(composition(X1,top)),top)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero)))
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(complement(composition(X1,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(X1,top)),top))]]) ).
cnf(refute_0_1645,plain,
( composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(complement(composition(X1,top)),top)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(complement(composition(X1,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero)))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(complement(composition(X1,top)),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(complement(composition(X1,top)),top)) )],[refute_0_1642,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != complement(X1)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != join(complement(X1),composition(complement(composition(X1,top)),top))
| join(complement(X1),composition(complement(composition(X1,top)),top)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),complement(X1)) ),[0],$fot(join(complement(X1),composition(complement(composition(X1,top)),top)))]]) ).
cnf(refute_0_1648,plain,
( join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != complement(X1)
| join(complement(X1),composition(complement(composition(X1,top)),top)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),join(complement(X1),composition(complement(composition(X1,top)),top))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
join(complement(X1),composition(complement(composition(X1,top)),top)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),complement(X1)) )],[refute_0_1630,refute_0_1648]) ).
cnf(refute_0_1650,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = complement(complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1649:[bind(X1,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1651,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_1652,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) = composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))]]) ).
cnf(refute_0_1653,plain,
converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1654,plain,
composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = join(composition(X_144,complement(converse(composition(top,X_145)))),composition(X_145,complement(converse(composition(top,X_145))))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(X_145)),bind(X2,$fot(complement(converse(composition(top,X_145)))))]]) ).
cnf(refute_0_1655,plain,
composition(converse(converse(X0)),complement(composition(converse(X0),top))) = zero,
inference(subst,[],[refute_0_727:[bind(X0,$fot(converse(X0)))]]) ).
cnf(refute_0_1656,plain,
( composition(converse(converse(X0)),complement(composition(converse(X0),top))) != zero
| converse(converse(X0)) != X0
| composition(X0,complement(composition(converse(X0),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X0)),complement(composition(converse(X0),top))),zero) ),[0,0],$fot(X0)]]) ).
cnf(refute_0_1657,plain,
( composition(converse(converse(X0)),complement(composition(converse(X0),top))) != zero
| composition(X0,complement(composition(converse(X0),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_1656]) ).
cnf(refute_0_1658,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(X0)),complement(composition(converse(X0),top))),zero) )],[refute_0_1655,refute_0_1657]) ).
cnf(refute_0_1659,plain,
converse(composition(converse(top),X_12)) = composition(converse(X_12),top),
inference(subst,[],[refute_0_62:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1660,plain,
( converse(composition(converse(top),X_12)) != composition(converse(X_12),top)
| converse(top) != top
| converse(composition(top,X_12)) = composition(converse(X_12),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_12)),composition(converse(X_12),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_1661,plain,
( converse(composition(converse(top),X_12)) != composition(converse(X_12),top)
| converse(composition(top,X_12)) = composition(converse(X_12),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_1660]) ).
cnf(refute_0_1662,plain,
converse(composition(top,X_12)) = composition(converse(X_12),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_12)),composition(converse(X_12),top)) )],[refute_0_1659,refute_0_1661]) ).
cnf(refute_0_1663,plain,
( converse(composition(top,X_12)) != composition(converse(X_12),top)
| composition(converse(X_12),top) = converse(composition(top,X_12)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,X_12)))),bind(Y,$fot(composition(converse(X_12),top)))]]) ).
cnf(refute_0_1664,plain,
composition(converse(X_12),top) = converse(composition(top,X_12)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_12)),composition(converse(X_12),top)) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(X0))]]) ).
cnf(refute_0_1666,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_0_1667,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_0_1668,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_0_1665,refute_0_1668]) ).
cnf(refute_0_1670,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_0_1671,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_1672,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( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_0_1669,refute_0_1672]) ).
cnf(refute_0_1674,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) ),[0],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_1675,plain,
( composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
composition(X0,complement(converse(composition(top,X0)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) )],[refute_0_1658,refute_0_1675]) ).
cnf(refute_0_1677,plain,
composition(X_145,complement(converse(composition(top,X_145)))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(X_145))]]) ).
cnf(refute_0_1678,plain,
( composition(X_145,complement(converse(composition(top,X_145)))) != zero
| composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) != join(composition(X_144,complement(converse(composition(top,X_145)))),composition(X_145,complement(converse(composition(top,X_145)))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = join(composition(X_144,complement(converse(composition(top,X_145)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_145)))),join(composition(X_144,complement(converse(composition(top,X_145)))),composition(X_145,complement(converse(composition(top,X_145)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1679,plain,
( composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) != join(composition(X_144,complement(converse(composition(top,X_145)))),composition(X_145,complement(converse(composition(top,X_145)))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = join(composition(X_144,complement(converse(composition(top,X_145)))),zero) ),
inference(resolve,[$cnf( $equal(composition(X_145,complement(converse(composition(top,X_145)))),zero) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = join(composition(X_144,complement(converse(composition(top,X_145)))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_145)))),join(composition(X_144,complement(converse(composition(top,X_145)))),composition(X_145,complement(converse(composition(top,X_145)))))) )],[refute_0_1654,refute_0_1679]) ).
cnf(refute_0_1681,plain,
join(composition(X_144,complement(converse(composition(top,X_145)))),zero) = composition(X_144,complement(converse(composition(top,X_145)))),
inference(subst,[],[refute_0_765:[bind(X_97,$fot(composition(X_144,complement(converse(composition(top,X_145))))))]]) ).
cnf(refute_0_1682,plain,
( composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) != join(composition(X_144,complement(converse(composition(top,X_145)))),zero)
| join(composition(X_144,complement(converse(composition(top,X_145)))),zero) != composition(X_144,complement(converse(composition(top,X_145))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = composition(X_144,complement(converse(composition(top,X_145)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_145)))),composition(X_144,complement(converse(composition(top,X_145))))) ),[0],$fot(join(composition(X_144,complement(converse(composition(top,X_145)))),zero))]]) ).
cnf(refute_0_1683,plain,
( composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) != join(composition(X_144,complement(converse(composition(top,X_145)))),zero)
| composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = composition(X_144,complement(converse(composition(top,X_145)))) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,complement(converse(composition(top,X_145)))),zero),composition(X_144,complement(converse(composition(top,X_145))))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
composition(join(X_144,X_145),complement(converse(composition(top,X_145)))) = composition(X_144,complement(converse(composition(top,X_145)))),
inference(resolve,[$cnf( $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_145)))),join(composition(X_144,complement(converse(composition(top,X_145)))),zero)) )],[refute_0_1680,refute_0_1683]) ).
cnf(refute_0_1685,plain,
composition(join(X_292,join(X_256,X_292)),complement(converse(composition(top,join(X_256,X_292))))) = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(X_292)),bind(X_145,$fot(join(X_256,X_292)))]]) ).
cnf(refute_0_1686,plain,
join(X_55,join(X_56,X_57)) = join(join(X_55,X_56),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(X_56)),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_1687,plain,
join(X_56,X_55) = join(X_55,X_56),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_56)),bind(X1,$fot(X_55))]]) ).
cnf(refute_0_1688,plain,
( join(X_56,X_55) != join(X_55,X_56)
| join(X_55,X_56) = join(X_56,X_55) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_56,X_55))),bind(Y,$fot(join(X_55,X_56)))]]) ).
cnf(refute_0_1689,plain,
join(X_55,X_56) = join(X_56,X_55),
inference(resolve,[$cnf( $equal(join(X_56,X_55),join(X_55,X_56)) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
( join(X_55,X_56) != join(X_56,X_55)
| join(X_55,join(X_56,X_57)) != join(join(X_55,X_56),X_57)
| join(X_55,join(X_56,X_57)) = join(join(X_56,X_55),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(join(X_55,X_56),X_57)) ),[1,0],$fot(join(X_56,X_55))]]) ).
cnf(refute_0_1691,plain,
( join(X_55,join(X_56,X_57)) != join(join(X_55,X_56),X_57)
| join(X_55,join(X_56,X_57)) = join(join(X_56,X_55),X_57) ),
inference(resolve,[$cnf( $equal(join(X_55,X_56),join(X_56,X_55)) )],[refute_0_1689,refute_0_1690]) ).
cnf(refute_0_1692,plain,
join(X_55,join(X_56,X_57)) = join(join(X_56,X_55),X_57),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(join(X_55,X_56),X_57)) )],[refute_0_1686,refute_0_1691]) ).
cnf(refute_0_1693,plain,
join(join(X_56,X_55),X_57) = join(X_56,join(X_55,X_57)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_56)),bind(X1,$fot(X_55)),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_1694,plain,
( join(X_55,join(X_56,X_57)) != join(join(X_56,X_55),X_57)
| join(join(X_56,X_55),X_57) != join(X_56,join(X_55,X_57))
| join(X_55,join(X_56,X_57)) = join(X_56,join(X_55,X_57)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,join(X_56,X_57)),join(X_56,join(X_55,X_57))) ),[0],$fot(join(join(X_56,X_55),X_57))]]) ).
cnf(refute_0_1695,plain,
( join(X_55,join(X_56,X_57)) != join(join(X_56,X_55),X_57)
| join(X_55,join(X_56,X_57)) = join(X_56,join(X_55,X_57)) ),
inference(resolve,[$cnf( $equal(join(join(X_56,X_55),X_57),join(X_56,join(X_55,X_57))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(X_55,join(X_56,X_57)) = join(X_56,join(X_55,X_57)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(join(X_56,X_55),X_57)) )],[refute_0_1692,refute_0_1695]) ).
cnf(refute_0_1697,plain,
join(X_256,join(X_258,X_258)) = join(X_258,join(X_256,X_258)),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(X_256)),bind(X_56,$fot(X_258)),bind(X_57,$fot(X_258))]]) ).
cnf(refute_0_1698,plain,
composition(join(one,one),X_155) = join(X_155,composition(one,X_155)),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(one)),bind(X_146,$fot(X_155))]]) ).
cnf(refute_0_1699,plain,
X_155 = composition(one,X_155),
inference(subst,[],[refute_0_88:[bind(X_13,$fot(X_155))]]) ).
cnf(refute_0_1700,plain,
( X_155 != composition(one,X_155)
| composition(one,X_155) = X_155 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_155)),bind(Y,$fot(composition(one,X_155)))]]) ).
cnf(refute_0_1701,plain,
composition(one,X_155) = X_155,
inference(resolve,[$cnf( $equal(X_155,composition(one,X_155)) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
( composition(join(one,one),X_155) != join(X_155,composition(one,X_155))
| composition(one,X_155) != X_155
| composition(join(one,one),X_155) = join(X_155,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_155),join(X_155,composition(one,X_155))) ),[1,1],$fot(X_155)]]) ).
cnf(refute_0_1703,plain,
( composition(join(one,one),X_155) != join(X_155,composition(one,X_155))
| composition(join(one,one),X_155) = join(X_155,X_155) ),
inference(resolve,[$cnf( $equal(composition(one,X_155),X_155) )],[refute_0_1701,refute_0_1702]) ).
cnf(refute_0_1704,plain,
composition(join(one,one),X_155) = join(X_155,X_155),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_155),join(X_155,composition(one,X_155))) )],[refute_0_1698,refute_0_1703]) ).
cnf(refute_0_1705,plain,
converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = join(one,converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1706,plain,
join(one,join(skolemFOFtoCNF_X0,X_57)) = join(join(one,skolemFOFtoCNF_X0),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_1707,plain,
( join(one,join(skolemFOFtoCNF_X0,X_57)) != join(join(one,skolemFOFtoCNF_X0),X_57)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,join(skolemFOFtoCNF_X0,X_57)) = join(one,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_57)),join(join(one,skolemFOFtoCNF_X0),X_57)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1708,plain,
( join(one,join(skolemFOFtoCNF_X0,X_57)) != join(join(one,skolemFOFtoCNF_X0),X_57)
| join(one,join(skolemFOFtoCNF_X0,X_57)) = join(one,X_57) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_1707]) ).
cnf(refute_0_1709,plain,
join(one,join(skolemFOFtoCNF_X0,X_57)) = join(one,X_57),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_57)),join(join(one,skolemFOFtoCNF_X0),X_57)) )],[refute_0_1706,refute_0_1708]) ).
cnf(refute_0_1710,plain,
join(one,join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) = join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(converse(meet(zero,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1711,plain,
skolemFOFtoCNF_X0 = join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1097:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1712,plain,
( skolemFOFtoCNF_X0 != join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1713,plain,
join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(one,skolemFOFtoCNF_X0) = join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))),join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) ),[0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1715,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| join(one,skolemFOFtoCNF_X0) = join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_1713,refute_0_1714]) ).
cnf(refute_0_1716,plain,
join(one,skolemFOFtoCNF_X0) = join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(meet(zero,converse(skolemFOFtoCNF_X0))))),join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1710,refute_0_1715]) ).
cnf(refute_0_1717,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| join(one,skolemFOFtoCNF_X0) != one
| one = join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) ),[0],$fot(one)]]) ).
cnf(refute_0_1718,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| one = join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_1717]) ).
cnf(refute_0_1719,plain,
join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(meet(zero,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1720,plain,
( join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))) != converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))
| one != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| one = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) ),[1],$fot(converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_1721,plain,
( one != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| one = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0)))),converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
( join(one,skolemFOFtoCNF_X0) != join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))
| one = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(one,join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1718,refute_0_1721]) ).
cnf(refute_0_1723,plain,
one = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),join(one,converse(meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1716,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( one != converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))
| converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1725,plain,
converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
( converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != join(one,converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))
| converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) != one
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),join(one,converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1727,plain,
( converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != join(one,converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),join(one,converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1705,refute_0_1727]) ).
cnf(refute_0_1729,plain,
join(complement(complement(X1)),join(complement(complement(X1)),X_133)) = join(complement(complement(X1)),X_133),
inference(subst,[],[refute_0_1482:[bind(X_24,$fot(complement(X1))),bind(X_57,$fot(X_133))]]) ).
cnf(refute_0_1730,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),join(complement(complement(X1)),X_133)) != join(complement(complement(X1)),X_133)
| join(complement(complement(X1)),join(X1,X_133)) = join(complement(complement(X1)),X_133) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(complement(complement(X1)),X_133)),join(complement(complement(X1)),X_133)) ),[0,1,0],$fot(X1)]]) ).
cnf(refute_0_1731,plain,
( join(complement(complement(X1)),join(complement(complement(X1)),X_133)) != join(complement(complement(X1)),X_133)
| join(complement(complement(X1)),join(X1,X_133)) = join(complement(complement(X1)),X_133) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_1730]) ).
cnf(refute_0_1732,plain,
join(complement(complement(X1)),join(X1,X_133)) = join(complement(complement(X1)),X_133),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(complement(complement(X1)),X_133)),join(complement(complement(X1)),X_133)) )],[refute_0_1729,refute_0_1731]) ).
cnf(refute_0_1733,plain,
join(complement(complement(X1)),X_133) = join(complement(complement(X1)),X_133),
introduced(tautology,[refl,[$fot(join(complement(complement(X1)),X_133))]]) ).
cnf(refute_0_1734,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),X_133) != join(complement(complement(X1)),X_133)
| join(complement(complement(X1)),X_133) = join(X1,X_133) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),X_133),join(complement(complement(X1)),X_133)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1735,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),X_133) = join(X1,X_133) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_133),join(complement(complement(X1)),X_133)) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(complement(complement(X1)),X_133) = join(X1,X_133),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_1735]) ).
cnf(refute_0_1737,plain,
join(X1,join(complement(complement(X1)),X_133)) = join(X1,join(complement(complement(X1)),X_133)),
introduced(tautology,[refl,[$fot(join(X1,join(complement(complement(X1)),X_133)))]]) ).
cnf(refute_0_1738,plain,
( join(X1,join(complement(complement(X1)),X_133)) != join(X1,join(complement(complement(X1)),X_133))
| join(complement(complement(X1)),X_133) != join(X1,X_133)
| join(X1,join(complement(complement(X1)),X_133)) = join(X1,join(X1,X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_133)),join(X1,join(complement(complement(X1)),X_133))) ),[1,1],$fot(join(X1,X_133))]]) ).
cnf(refute_0_1739,plain,
( join(complement(complement(X1)),X_133) != join(X1,X_133)
| join(X1,join(complement(complement(X1)),X_133)) = join(X1,join(X1,X_133)) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_133)),join(X1,join(complement(complement(X1)),X_133))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
join(X1,join(complement(complement(X1)),X_133)) = join(X1,join(X1,X_133)),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_133),join(X1,X_133)) )],[refute_0_1736,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( join(X_55,join(X_56,X_57)) != join(X_56,join(X_55,X_57))
| join(X_56,join(X_55,X_57)) = join(X_55,join(X_56,X_57)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(X_56,X_57)))),bind(Y,$fot(join(X_56,join(X_55,X_57))))]]) ).
cnf(refute_0_1742,plain,
join(X_56,join(X_55,X_57)) = join(X_55,join(X_56,X_57)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(X_56,join(X_55,X_57))) )],[refute_0_1696,refute_0_1741]) ).
cnf(refute_0_1743,plain,
join(complement(complement(X1)),join(X1,X_133)) = join(X1,join(complement(complement(X1)),X_133)),
inference(subst,[],[refute_0_1742:[bind(X_55,$fot(X1)),bind(X_56,$fot(complement(complement(X1)))),bind(X_57,$fot(X_133))]]) ).
cnf(refute_0_1744,plain,
( join(X1,join(complement(complement(X1)),X_133)) != join(X1,join(X1,X_133))
| join(complement(complement(X1)),join(X1,X_133)) != join(X1,join(complement(complement(X1)),X_133))
| join(complement(complement(X1)),join(X1,X_133)) = join(X1,join(X1,X_133)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X1)),join(X1,X_133)))),bind(Y,$fot(join(X1,join(complement(complement(X1)),X_133)))),bind(Z,$fot(join(X1,join(X1,X_133))))]]) ).
cnf(refute_0_1745,plain,
( join(X1,join(complement(complement(X1)),X_133)) != join(X1,join(X1,X_133))
| join(complement(complement(X1)),join(X1,X_133)) = join(X1,join(X1,X_133)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_133)),join(X1,join(complement(complement(X1)),X_133))) )],[refute_0_1743,refute_0_1744]) ).
cnf(refute_0_1746,plain,
join(complement(complement(X1)),join(X1,X_133)) = join(X1,join(X1,X_133)),
inference(resolve,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_133)),join(X1,join(X1,X_133))) )],[refute_0_1740,refute_0_1745]) ).
cnf(refute_0_1747,plain,
( join(complement(complement(X1)),join(X1,X_133)) != join(X1,join(X1,X_133))
| join(complement(complement(X1)),join(X1,X_133)) != join(complement(complement(X1)),X_133)
| join(X1,join(X1,X_133)) = join(complement(complement(X1)),X_133) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_133)),join(complement(complement(X1)),X_133)) ),[0],$fot(join(X1,join(X1,X_133)))]]) ).
cnf(refute_0_1748,plain,
( join(complement(complement(X1)),join(X1,X_133)) != join(complement(complement(X1)),X_133)
| join(X1,join(X1,X_133)) = join(complement(complement(X1)),X_133) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_133)),join(X1,join(X1,X_133))) )],[refute_0_1746,refute_0_1747]) ).
cnf(refute_0_1749,plain,
( join(X1,join(X1,X_133)) != join(complement(complement(X1)),X_133)
| join(complement(complement(X1)),X_133) != join(X1,X_133)
| join(X1,join(X1,X_133)) = join(X1,X_133) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(X1,X_133)),join(X1,X_133)) ),[0],$fot(join(complement(complement(X1)),X_133))]]) ).
cnf(refute_0_1750,plain,
( join(X1,join(X1,X_133)) != join(complement(complement(X1)),X_133)
| join(X1,join(X1,X_133)) = join(X1,X_133) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_133),join(X1,X_133)) )],[refute_0_1736,refute_0_1749]) ).
cnf(refute_0_1751,plain,
( join(complement(complement(X1)),join(X1,X_133)) != join(complement(complement(X1)),X_133)
| join(X1,join(X1,X_133)) = join(X1,X_133) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X_133)),join(complement(complement(X1)),X_133)) )],[refute_0_1748,refute_0_1750]) ).
cnf(refute_0_1752,plain,
join(X1,join(X1,X_133)) = join(X1,X_133),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_133)),join(complement(complement(X1)),X_133)) )],[refute_0_1732,refute_0_1751]) ).
cnf(refute_0_1753,plain,
join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) = join(one,meet(zero,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(one)),bind(X_133,$fot(meet(zero,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1754,plain,
converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1755,plain,
( converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))
| join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) != join(one,meet(zero,converse(skolemFOFtoCNF_X0)))
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1756,plain,
( join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) != join(one,meet(zero,converse(skolemFOFtoCNF_X0)))
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0)))),join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) )],[refute_0_1753,refute_0_1756]) ).
cnf(refute_0_1758,plain,
( converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))
| converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) != one
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1759,plain,
( converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))) != one
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) )],[refute_0_1757,refute_0_1758]) ).
cnf(refute_0_1760,plain,
converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,meet(zero,converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_1725,refute_0_1759]) ).
cnf(refute_0_1761,plain,
( converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != join(one,one)
| converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != one
| one = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),join(one,one)) ),[0],$fot(one)]]) ).
cnf(refute_0_1762,plain,
( converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))) != join(one,one)
| one = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
one = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,meet(zero,converse(skolemFOFtoCNF_X0))))),join(one,one)) )],[refute_0_1728,refute_0_1762]) ).
cnf(refute_0_1764,plain,
( one != join(one,one)
| join(one,one) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,one)))]]) ).
cnf(refute_0_1765,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(one,join(one,one)) )],[refute_0_1763,refute_0_1764]) ).
cnf(refute_0_1766,plain,
composition(join(one,one),X_155) = composition(join(one,one),X_155),
introduced(tautology,[refl,[$fot(composition(join(one,one),X_155))]]) ).
cnf(refute_0_1767,plain,
( composition(join(one,one),X_155) != composition(join(one,one),X_155)
| join(one,one) != one
| composition(join(one,one),X_155) = composition(one,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_155),composition(join(one,one),X_155)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1768,plain,
( join(one,one) != one
| composition(join(one,one),X_155) = composition(one,X_155) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_155),composition(join(one,one),X_155)) )],[refute_0_1766,refute_0_1767]) ).
cnf(refute_0_1769,plain,
composition(join(one,one),X_155) = composition(one,X_155),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1765,refute_0_1768]) ).
cnf(refute_0_1770,plain,
( composition(join(one,one),X_155) != composition(one,X_155)
| composition(one,X_155) != X_155
| composition(join(one,one),X_155) = X_155 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,one),X_155))),bind(Y,$fot(composition(one,X_155))),bind(Z,$fot(X_155))]]) ).
cnf(refute_0_1771,plain,
( composition(one,X_155) != X_155
| composition(join(one,one),X_155) = X_155 ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_155),composition(one,X_155)) )],[refute_0_1769,refute_0_1770]) ).
cnf(refute_0_1772,plain,
composition(join(one,one),X_155) = X_155,
inference(resolve,[$cnf( $equal(composition(one,X_155),X_155) )],[refute_0_1701,refute_0_1771]) ).
cnf(refute_0_1773,plain,
( composition(join(one,one),X_155) != X_155
| composition(join(one,one),X_155) != join(X_155,X_155)
| X_155 = join(X_155,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_155),join(X_155,X_155)) ),[0],$fot(X_155)]]) ).
cnf(refute_0_1774,plain,
( composition(join(one,one),X_155) != join(X_155,X_155)
| X_155 = join(X_155,X_155) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_155),X_155) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
X_155 = join(X_155,X_155),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_155),join(X_155,X_155)) )],[refute_0_1704,refute_0_1774]) ).
cnf(refute_0_1776,plain,
X_258 = join(X_258,X_258),
inference(subst,[],[refute_0_1775:[bind(X_155,$fot(X_258))]]) ).
cnf(refute_0_1777,plain,
( X_258 != join(X_258,X_258)
| join(X_258,X_258) = X_258 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_258)),bind(Y,$fot(join(X_258,X_258)))]]) ).
cnf(refute_0_1778,plain,
join(X_258,X_258) = X_258,
inference(resolve,[$cnf( $equal(X_258,join(X_258,X_258)) )],[refute_0_1776,refute_0_1777]) ).
cnf(refute_0_1779,plain,
( join(X_256,join(X_258,X_258)) != join(X_258,join(X_256,X_258))
| join(X_258,X_258) != X_258
| join(X_256,X_258) = join(X_258,join(X_256,X_258)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_256,join(X_258,X_258)),join(X_258,join(X_256,X_258))) ),[0,1],$fot(X_258)]]) ).
cnf(refute_0_1780,plain,
( join(X_256,join(X_258,X_258)) != join(X_258,join(X_256,X_258))
| join(X_256,X_258) = join(X_258,join(X_256,X_258)) ),
inference(resolve,[$cnf( $equal(join(X_258,X_258),X_258) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
join(X_256,X_258) = join(X_258,join(X_256,X_258)),
inference(resolve,[$cnf( $equal(join(X_256,join(X_258,X_258)),join(X_258,join(X_256,X_258))) )],[refute_0_1697,refute_0_1780]) ).
cnf(refute_0_1782,plain,
join(X_256,X_292) = join(X_292,join(X_256,X_292)),
inference(subst,[],[refute_0_1781:[bind(X_258,$fot(X_292))]]) ).
cnf(refute_0_1783,plain,
( join(X_256,X_292) != join(X_292,join(X_256,X_292))
| join(X_292,join(X_256,X_292)) = join(X_256,X_292) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_256,X_292))),bind(Y,$fot(join(X_292,join(X_256,X_292))))]]) ).
cnf(refute_0_1784,plain,
join(X_292,join(X_256,X_292)) = join(X_256,X_292),
inference(resolve,[$cnf( $equal(join(X_256,X_292),join(X_292,join(X_256,X_292))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
( composition(join(X_292,join(X_256,X_292)),complement(converse(composition(top,join(X_256,X_292))))) != composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))
| join(X_292,join(X_256,X_292)) != join(X_256,X_292)
| composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_292,join(X_256,X_292)),complement(converse(composition(top,join(X_256,X_292))))),composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))) ),[0,0],$fot(join(X_256,X_292))]]) ).
cnf(refute_0_1786,plain,
( composition(join(X_292,join(X_256,X_292)),complement(converse(composition(top,join(X_256,X_292))))) != composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))
| composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))) ),
inference(resolve,[$cnf( $equal(join(X_292,join(X_256,X_292)),join(X_256,X_292)) )],[refute_0_1784,refute_0_1785]) ).
cnf(refute_0_1787,plain,
composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))),
inference(resolve,[$cnf( $equal(composition(join(X_292,join(X_256,X_292)),complement(converse(composition(top,join(X_256,X_292))))),composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))) )],[refute_0_1685,refute_0_1786]) ).
cnf(refute_0_1788,plain,
composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(join(X_256,X_292)))]]) ).
cnf(refute_0_1789,plain,
( composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) != composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))
| composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) != zero
| zero = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))),composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1790,plain,
( composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))) != composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))
| zero = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))) ),
inference(resolve,[$cnf( $equal(composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))),zero) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
zero = composition(X_292,complement(converse(composition(top,join(X_256,X_292))))),
inference(resolve,[$cnf( $equal(composition(join(X_256,X_292),complement(converse(composition(top,join(X_256,X_292))))),composition(X_292,complement(converse(composition(top,join(X_256,X_292)))))) )],[refute_0_1787,refute_0_1790]) ).
cnf(refute_0_1792,plain,
zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))),
inference(subst,[],[refute_0_1791:[bind(X_256,$fot(composition(top,skolemFOFtoCNF_X0))),bind(X_292,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))]]) ).
cnf(refute_0_1793,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_55:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1794,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_1795,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_1616,refute_0_1794]) ).
cnf(refute_0_1796,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_1793,refute_0_1795]) ).
cnf(refute_0_1797,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_59:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1798,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_1799,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1800,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_1798,refute_0_1799]) ).
cnf(refute_0_1801,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_1797,refute_0_1800]) ).
cnf(refute_0_1802,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_1803,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_1804,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_1801,refute_0_1804]) ).
cnf(refute_0_1806,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_1807,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_1796,refute_0_1807]) ).
cnf(refute_0_1809,plain,
join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X1,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_1810,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = zero,
inference(subst,[],[refute_0_727:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_1811,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),composition(converse(X1),converse(X0))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(converse(X1))),bind(X_146,$fot(converse(X0)))]]) ).
cnf(refute_0_1812,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) ),[1,1],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_1813,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_1616,refute_0_1812]) ).
cnf(refute_0_1814,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) )],[refute_0_1811,refute_0_1813]) ).
cnf(refute_0_1815,plain,
join(converse(one),X1) = join(converse(one),X1),
introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).
cnf(refute_0_1816,plain,
( converse(one) != one
| join(converse(one),X1) != join(converse(one),X1)
| join(converse(one),X1) = join(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1817,plain,
( converse(one) != one
| join(converse(one),X1) = join(one,X1) ),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) )],[refute_0_1815,refute_0_1816]) ).
cnf(refute_0_1818,plain,
join(converse(one),X1) = join(one,X1),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_1817]) ).
cnf(refute_0_1819,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(converse(one),X1)),
introduced(tautology,[refl,[$fot(composition(X0,join(converse(one),X1)))]]) ).
cnf(refute_0_1820,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(converse(one),X1))
| join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) ),[1,1],$fot(join(one,X1))]]) ).
cnf(refute_0_1821,plain,
( join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) )],[refute_0_1819,refute_0_1820]) ).
cnf(refute_0_1822,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_0_1818,refute_0_1821]) ).
cnf(refute_0_1823,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(converse(one),X1))),
introduced(tautology,[refl,[$fot(converse(composition(X0,join(converse(one),X1))))]]) ).
cnf(refute_0_1824,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) ),[1,0],$fot(composition(X0,join(one,X1)))]]) ).
cnf(refute_0_1825,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
| converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(one,X1))) )],[refute_0_1822,refute_0_1825]) ).
cnf(refute_0_1827,plain,
converse(composition(X_11,join(converse(X0),X_5))) = composition(converse(join(converse(X0),X_5)),converse(X_11)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(X_11)),bind(X1,$fot(join(converse(X0),X_5)))]]) ).
cnf(refute_0_1828,plain,
( converse(composition(X_11,join(converse(X0),X_5))) != composition(converse(join(converse(X0),X_5)),converse(X_11))
| converse(join(converse(X0),X_5)) != join(X0,converse(X_5))
| converse(composition(X_11,join(converse(X0),X_5))) = composition(join(X0,converse(X_5)),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,join(converse(X0),X_5))),composition(converse(join(converse(X0),X_5)),converse(X_11))) ),[1,0],$fot(join(X0,converse(X_5)))]]) ).
cnf(refute_0_1829,plain,
( converse(composition(X_11,join(converse(X0),X_5))) != composition(converse(join(converse(X0),X_5)),converse(X_11))
| converse(composition(X_11,join(converse(X0),X_5))) = composition(join(X0,converse(X_5)),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(X0,converse(X_5))) )],[refute_0_272,refute_0_1828]) ).
cnf(refute_0_1830,plain,
converse(composition(X_11,join(converse(X0),X_5))) = composition(join(X0,converse(X_5)),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(converse(X0),X_5))),composition(converse(join(converse(X0),X_5)),converse(X_11))) )],[refute_0_1827,refute_0_1829]) ).
cnf(refute_0_1831,plain,
( converse(composition(X_11,join(converse(X0),X_5))) != composition(join(X0,converse(X_5)),converse(X_11))
| composition(join(X0,converse(X_5)),converse(X_11)) = converse(composition(X_11,join(converse(X0),X_5))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_11,join(converse(X0),X_5))))),bind(Y,$fot(composition(join(X0,converse(X_5)),converse(X_11))))]]) ).
cnf(refute_0_1832,plain,
composition(join(X0,converse(X_5)),converse(X_11)) = converse(composition(X_11,join(converse(X0),X_5))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(converse(X0),X_5))),composition(join(X0,converse(X_5)),converse(X_11))) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
composition(join(one,converse(X1)),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(subst,[],[refute_0_1832:[bind(X0,$fot(one)),bind(X_11,$fot(X0)),bind(X_5,$fot(X1))]]) ).
cnf(refute_0_1834,plain,
composition(join(converse(X1),one),converse(X0)) = composition(join(one,converse(X1)),converse(X0)),
inference(subst,[],[refute_0_849:[bind(X_154,$fot(converse(X1))),bind(X_155,$fot(converse(X0)))]]) ).
cnf(refute_0_1835,plain,
( composition(join(converse(X1),one),converse(X0)) != composition(join(one,converse(X1)),converse(X0))
| composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(composition(join(one,converse(X1)),converse(X0)))),bind(Z,$fot(converse(composition(X0,join(converse(one),X1)))))]]) ).
cnf(refute_0_1836,plain,
( composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),composition(join(one,converse(X1)),converse(X0))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X1)),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_1833,refute_0_1836]) ).
cnf(refute_0_1838,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(converse(composition(X0,join(converse(one),X1))))),bind(Z,$fot(converse(composition(X0,join(one,X1)))))]]) ).
cnf(refute_0_1839,plain,
( converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(one,X1)))) )],[refute_0_1826,refute_0_1839]) ).
cnf(refute_0_1841,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) ),[0],$fot(converse(composition(X0,join(one,X1))))]]) ).
cnf(refute_0_1842,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(one,X1)))) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
join(converse(X0),converse(composition(X0,X1))) = converse(join(X0,composition(X0,X1))),
inference(subst,[],[refute_0_308:[bind(X1,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_1844,plain,
( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
| join(converse(X0),converse(composition(X0,X1))) != converse(join(X0,composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X0,join(one,X1))),converse(join(X0,composition(X0,X1)))) ),[0],$fot(join(converse(X0),converse(composition(X0,X1))))]]) ).
cnf(refute_0_1845,plain,
( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(composition(X0,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_0_1843,refute_0_1844]) ).
cnf(refute_0_1846,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_1842,refute_0_1845]) ).
cnf(refute_0_1847,plain,
converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_1814,refute_0_1846]) ).
cnf(refute_0_1848,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_1849,plain,
join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))) = complement(top),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_1850,plain,
join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(composition(X_45,X_46),X1)))) = complement(X1),
inference(subst,[],[refute_0_55:[bind(X0,$fot(composition(X_45,X_46)))]]) ).
cnf(refute_0_1851,plain,
composition(X_45,composition(X_46,X1)) = composition(composition(X_45,X_46),X1),
inference(subst,[],[refute_0_711:[bind(X0,$fot(X_45)),bind(X1,$fot(X_46)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1852,plain,
( composition(X_45,composition(X_46,X1)) != composition(composition(X_45,X_46),X1)
| composition(composition(X_45,X_46),X1) = composition(X_45,composition(X_46,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X_45,composition(X_46,X1)))),bind(Y,$fot(composition(composition(X_45,X_46),X1)))]]) ).
cnf(refute_0_1853,plain,
composition(composition(X_45,X_46),X1) = composition(X_45,composition(X_46,X1)),
inference(resolve,[$cnf( $equal(composition(X_45,composition(X_46,X1)),composition(composition(X_45,X_46),X1)) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
( composition(composition(X_45,X_46),X1) != composition(X_45,composition(X_46,X1))
| join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(composition(X_45,X_46),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(X_45,composition(X_46,X1))))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(composition(X_45,X_46),X1)))),complement(X1)) ),[0,1,1,0],$fot(composition(X_45,composition(X_46,X1)))]]) ).
cnf(refute_0_1855,plain,
( join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(composition(X_45,X_46),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(X_45,composition(X_46,X1))))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(composition(X_45,X_46),X1),composition(X_45,composition(X_46,X1))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(X_45,composition(X_46,X1))))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_45,X_46)),complement(composition(composition(X_45,X_46),X1)))),complement(X1)) )],[refute_0_1850,refute_0_1855]) ).
cnf(refute_0_1857,plain,
join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,composition(converse(X0),complement(composition(X0,top))))))) = complement(complement(composition(X0,top))),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(complement(composition(X0,top)))),bind(X_45,$fot(X_389)),bind(X_46,$fot(converse(X0)))]]) ).
cnf(refute_0_1858,plain,
( composition(converse(X0),complement(composition(X0,top))) != zero
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,composition(converse(X0),complement(composition(X0,top))))))) != complement(complement(composition(X0,top)))
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = complement(complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,composition(converse(X0),complement(composition(X0,top))))))),complement(complement(composition(X0,top)))) ),[0,1,1,0,1],$fot(zero)]]) ).
cnf(refute_0_1859,plain,
( join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,composition(converse(X0),complement(composition(X0,top))))))) != complement(complement(composition(X0,top)))
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = complement(complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(X0,top))),zero) )],[refute_0_727,refute_0_1858]) ).
cnf(refute_0_1860,plain,
join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = complement(complement(composition(X0,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,composition(converse(X0),complement(composition(X0,top))))))),complement(complement(composition(X0,top)))) )],[refute_0_1857,refute_0_1859]) ).
cnf(refute_0_1861,plain,
composition(converse(X_389),top) = converse(composition(top,X_389)),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(X_389))]]) ).
cnf(refute_0_1862,plain,
composition(X0,composition(converse(X_389),top)) = composition(X0,composition(converse(X_389),top)),
introduced(tautology,[refl,[$fot(composition(X0,composition(converse(X_389),top)))]]) ).
cnf(refute_0_1863,plain,
( composition(X0,composition(converse(X_389),top)) != composition(X0,composition(converse(X_389),top))
| composition(converse(X_389),top) != converse(composition(top,X_389))
| composition(X0,composition(converse(X_389),top)) = composition(X0,converse(composition(top,X_389))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(converse(X_389),top)),composition(X0,composition(converse(X_389),top))) ),[1,1],$fot(converse(composition(top,X_389)))]]) ).
cnf(refute_0_1864,plain,
( composition(converse(X_389),top) != converse(composition(top,X_389))
| composition(X0,composition(converse(X_389),top)) = composition(X0,converse(composition(top,X_389))) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_389),top)),composition(X0,composition(converse(X_389),top))) )],[refute_0_1862,refute_0_1863]) ).
cnf(refute_0_1865,plain,
composition(X0,composition(converse(X_389),top)) = composition(X0,converse(composition(top,X_389))),
inference(resolve,[$cnf( $equal(composition(converse(X_389),top),converse(composition(top,X_389))) )],[refute_0_1861,refute_0_1864]) ).
cnf(refute_0_1866,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_1867,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_711,refute_0_1866]) ).
cnf(refute_0_1868,plain,
composition(composition(X0,converse(X_389)),top) = composition(X0,composition(converse(X_389),top)),
inference(subst,[],[refute_0_1867:[bind(X1,$fot(converse(X_389))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1869,plain,
( composition(X0,composition(converse(X_389),top)) != composition(X0,converse(composition(top,X_389)))
| composition(composition(X0,converse(X_389)),top) != composition(X0,composition(converse(X_389),top))
| composition(composition(X0,converse(X_389)),top) = composition(X0,converse(composition(top,X_389))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(X0,converse(X_389)),top))),bind(Y,$fot(composition(X0,composition(converse(X_389),top)))),bind(Z,$fot(composition(X0,converse(composition(top,X_389)))))]]) ).
cnf(refute_0_1870,plain,
( composition(X0,composition(converse(X_389),top)) != composition(X0,converse(composition(top,X_389)))
| composition(composition(X0,converse(X_389)),top) = composition(X0,converse(composition(top,X_389))) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,converse(X_389)),top),composition(X0,composition(converse(X_389),top))) )],[refute_0_1868,refute_0_1869]) ).
cnf(refute_0_1871,plain,
composition(composition(X0,converse(X_389)),top) = composition(X0,converse(composition(top,X_389))),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(X_389),top)),composition(X0,converse(composition(top,X_389)))) )],[refute_0_1865,refute_0_1870]) ).
cnf(refute_0_1872,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_711:[bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1873,plain,
zero = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_770:[bind(X_144,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_1874,plain,
( zero != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(composition(X0,X1),complement(composition(top,top)))))]]) ).
cnf(refute_0_1875,plain,
composition(composition(X0,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(composition(X0,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_1877,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( $equal(composition(composition(X0,X1),complement(composition(top,top))),zero) )],[refute_0_1875,refute_0_1876]) ).
cnf(refute_0_1878,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_1872,refute_0_1877]) ).
cnf(refute_0_1879,plain,
( zero != composition(X_144,complement(composition(top,top)))
| composition(X_144,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_144,complement(composition(top,top)))))]]) ).
cnf(refute_0_1880,plain,
composition(X_144,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_144,complement(composition(top,top)))) )],[refute_0_770,refute_0_1879]) ).
cnf(refute_0_1881,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_1880:[bind(X_144,$fot(X1))]]) ).
cnf(refute_0_1882,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,composition(X1,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_1883,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,composition(X1,complement(composition(top,top))))
| composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
introduced(tautology,[equality,[$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_1884,plain,
( composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),zero) )],[refute_0_1881,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,zero)
| composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(X0,zero))]]) ).
cnf(refute_0_1887,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,zero)) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) )],[refute_0_1878,refute_0_1887]) ).
cnf(refute_0_1889,plain,
composition(X_389,zero) = zero,
inference(subst,[],[refute_0_1888:[bind(X0,$fot(X_389))]]) ).
cnf(refute_0_1890,plain,
complement(composition(X_389,zero)) = complement(composition(X_389,zero)),
introduced(tautology,[refl,[$fot(complement(composition(X_389,zero)))]]) ).
cnf(refute_0_1891,plain,
( complement(composition(X_389,zero)) != complement(composition(X_389,zero))
| composition(X_389,zero) != zero
| complement(composition(X_389,zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(X_389,zero)),complement(composition(X_389,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1892,plain,
( composition(X_389,zero) != zero
| complement(composition(X_389,zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(composition(X_389,zero)),complement(composition(X_389,zero))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
complement(composition(X_389,zero)) = complement(zero),
inference(resolve,[$cnf( $equal(composition(X_389,zero),zero) )],[refute_0_1889,refute_0_1892]) ).
cnf(refute_0_1894,plain,
( complement(composition(X_389,zero)) != complement(zero)
| complement(zero) != top
| complement(composition(X_389,zero)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(composition(X_389,zero)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1895,plain,
( complement(zero) != top
| complement(composition(X_389,zero)) = top ),
inference(resolve,[$cnf( $equal(complement(composition(X_389,zero)),complement(zero)) )],[refute_0_1893,refute_0_1894]) ).
cnf(refute_0_1896,plain,
complement(composition(X_389,zero)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_1895]) ).
cnf(refute_0_1897,plain,
composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))),
introduced(tautology,[refl,[$fot(composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))))]]) ).
cnf(refute_0_1898,plain,
( complement(composition(X_389,zero)) != top
| composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) != composition(composition(X0,converse(X_389)),complement(composition(X_389,zero)))
| composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))),composition(composition(X0,converse(X_389)),complement(composition(X_389,zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1899,plain,
( complement(composition(X_389,zero)) != top
| composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),top) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))),composition(composition(X0,converse(X_389)),complement(composition(X_389,zero)))) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),top),
inference(resolve,[$cnf( $equal(complement(composition(X_389,zero)),top) )],[refute_0_1896,refute_0_1899]) ).
cnf(refute_0_1901,plain,
converse(composition(X_389,converse(X0))) = composition(X0,converse(X_389)),
inference(subst,[],[refute_0_1577:[bind(X_11,$fot(X_389))]]) ).
cnf(refute_0_1902,plain,
composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))),
introduced(tautology,[refl,[$fot(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))]]) ).
cnf(refute_0_1903,plain,
( composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) != composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))
| converse(composition(X_389,converse(X0))) != composition(X0,converse(X_389))
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) ),[1,0],$fot(composition(X0,converse(X_389)))]]) ).
cnf(refute_0_1904,plain,
( converse(composition(X_389,converse(X0))) != composition(X0,converse(X_389))
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))),
inference(resolve,[$cnf( $equal(converse(composition(X_389,converse(X0))),composition(X0,converse(X_389))) )],[refute_0_1901,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) != composition(composition(X0,converse(X_389)),top)
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) != composition(composition(X0,converse(X_389)),complement(composition(X_389,zero)))
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))),bind(Y,$fot(composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))))),bind(Z,$fot(composition(composition(X0,converse(X_389)),top)))]]) ).
cnf(refute_0_1907,plain,
( composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))) != composition(composition(X0,converse(X_389)),top)
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))),composition(composition(X0,converse(X_389)),complement(composition(X_389,zero)))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(composition(X0,converse(X_389)),top),
inference(resolve,[$cnf( $equal(composition(composition(X0,converse(X_389)),complement(composition(X_389,zero))),composition(composition(X0,converse(X_389)),top)) )],[refute_0_1900,refute_0_1907]) ).
cnf(refute_0_1909,plain,
( composition(composition(X0,converse(X_389)),top) != composition(X0,converse(composition(top,X_389)))
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) != composition(composition(X0,converse(X_389)),top)
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(X0,converse(composition(top,X_389))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))),bind(Y,$fot(composition(composition(X0,converse(X_389)),top))),bind(Z,$fot(composition(X0,converse(composition(top,X_389)))))]]) ).
cnf(refute_0_1910,plain,
( composition(composition(X0,converse(X_389)),top) != composition(X0,converse(composition(top,X_389)))
| composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(X0,converse(composition(top,X_389))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))),composition(composition(X0,converse(X_389)),top)) )],[refute_0_1908,refute_0_1909]) ).
cnf(refute_0_1911,plain,
composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) = composition(X0,converse(composition(top,X_389))),
inference(resolve,[$cnf( $equal(composition(composition(X0,converse(X_389)),top),composition(X0,converse(composition(top,X_389)))) )],[refute_0_1871,refute_0_1910]) ).
cnf(refute_0_1912,plain,
join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),
introduced(tautology,[refl,[$fot(join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))))]]) ).
cnf(refute_0_1913,plain,
( composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) != composition(X0,converse(composition(top,X_389)))
| join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))
| join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))) ),[1,1],$fot(composition(X0,converse(composition(top,X_389))))]]) ).
cnf(refute_0_1914,plain,
( composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))) != composition(X0,converse(composition(top,X_389)))
| join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(X0,converse(composition(top,X_389)))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))),composition(X0,converse(composition(top,X_389)))) )],[refute_0_1911,refute_0_1914]) ).
cnf(refute_0_1916,plain,
complement(complement(composition(X0,top))) = composition(X0,top),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(X0,top)))]]) ).
cnf(refute_0_1917,plain,
join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))))]]) ).
cnf(refute_0_1918,plain,
( complement(complement(composition(X0,top))) != composition(X0,top)
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))) ),[1,0],$fot(composition(X0,top))]]) ).
cnf(refute_0_1919,plain,
( complement(complement(composition(X0,top))) != composition(X0,top)
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))) )],[refute_0_1917,refute_0_1918]) ).
cnf(refute_0_1920,plain,
join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),
inference(resolve,[$cnf( $equal(complement(complement(composition(X0,top))),composition(X0,top)) )],[refute_0_1916,refute_0_1919]) ).
cnf(refute_0_1921,plain,
( join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))
| join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != join(composition(X0,top),composition(X0,converse(composition(top,X_389))))
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))))),bind(Y,$fot(join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))))),bind(Z,$fot(join(composition(X0,top),composition(X0,converse(composition(top,X_389))))))]]) ).
cnf(refute_0_1922,plain,
( join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != join(composition(X0,top),composition(X0,converse(composition(top,X_389))))
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero))))) )],[refute_0_1920,refute_0_1921]) ).
cnf(refute_0_1923,plain,
join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) = join(composition(X0,top),composition(X0,converse(composition(top,X_389)))),
inference(resolve,[$cnf( $equal(join(composition(X0,top),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(composition(X0,top),composition(X0,converse(composition(top,X_389))))) )],[refute_0_1915,refute_0_1922]) ).
cnf(refute_0_1924,plain,
( join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != complement(complement(composition(X0,top)))
| join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != join(composition(X0,top),composition(X0,converse(composition(top,X_389))))
| join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) = complement(complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),complement(complement(composition(X0,top)))) ),[0],$fot(join(composition(X0,top),composition(X0,converse(composition(top,X_389)))))]]) ).
cnf(refute_0_1925,plain,
( join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != complement(complement(composition(X0,top)))
| join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) = complement(complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),join(composition(X0,top),composition(X0,converse(composition(top,X_389))))) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
( complement(complement(composition(X0,top))) != composition(X0,top)
| join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) != complement(complement(composition(X0,top)))
| join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) = composition(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X0,top),composition(X0,converse(composition(top,X_389)))),complement(complement(composition(X0,top)))) ),[1],$fot(composition(X0,top))]]) ).
cnf(refute_0_1927,plain,
( join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) != complement(complement(composition(X0,top)))
| join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(X0,top))),composition(X0,top)) )],[refute_0_1916,refute_0_1926]) ).
cnf(refute_0_1928,plain,
( join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))) != complement(complement(composition(X0,top)))
| join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),composition(X0,converse(composition(top,X_389)))),complement(complement(composition(X0,top)))) )],[refute_0_1925,refute_0_1927]) ).
cnf(refute_0_1929,plain,
join(composition(X0,top),composition(X0,converse(composition(top,X_389)))) = composition(X0,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X0,top))),composition(converse(composition(X_389,converse(X0))),complement(composition(X_389,zero)))),complement(complement(composition(X0,top)))) )],[refute_0_1860,refute_0_1928]) ).
cnf(refute_0_1930,plain,
join(composition(X_397,top),composition(X_397,converse(composition(top,converse(X0))))) = composition(X_397,top),
inference(subst,[],[refute_0_1929:[bind(X0,$fot(X_397)),bind(X_389,$fot(converse(X0)))]]) ).
cnf(refute_0_1931,plain,
converse(composition(top,converse(X0))) = composition(X0,converse(top)),
inference(subst,[],[refute_0_1577:[bind(X_11,$fot(top))]]) ).
cnf(refute_0_1932,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(top))
| join(composition(X_397,top),composition(X_397,converse(composition(top,converse(X0))))) != composition(X_397,top)
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = composition(X_397,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_397,top),composition(X_397,converse(composition(top,converse(X0))))),composition(X_397,top)) ),[0,1,1],$fot(composition(X0,converse(top)))]]) ).
cnf(refute_0_1933,plain,
( join(composition(X_397,top),composition(X_397,converse(composition(top,converse(X0))))) != composition(X_397,top)
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = composition(X_397,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(top))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = composition(X_397,top),
inference(resolve,[$cnf( $equal(join(composition(X_397,top),composition(X_397,converse(composition(top,converse(X0))))),composition(X_397,top)) )],[refute_0_1930,refute_0_1933]) ).
cnf(refute_0_1935,plain,
composition(join(X_144,composition(X0,X1)),X_146) = join(composition(X_144,X_146),composition(composition(X0,X1),X_146)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(composition(X0,X1))),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_1936,plain,
composition(X0,composition(X1,X_146)) = composition(composition(X0,X1),X_146),
inference(subst,[],[refute_0_711:[bind(X2,$fot(X_146))]]) ).
cnf(refute_0_1937,plain,
( composition(X0,composition(X1,X_146)) != composition(composition(X0,X1),X_146)
| composition(composition(X0,X1),X_146) = composition(X0,composition(X1,X_146)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X0,composition(X1,X_146)))),bind(Y,$fot(composition(composition(X0,X1),X_146)))]]) ).
cnf(refute_0_1938,plain,
composition(composition(X0,X1),X_146) = composition(X0,composition(X1,X_146)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X_146)),composition(composition(X0,X1),X_146)) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
( composition(composition(X0,X1),X_146) != composition(X0,composition(X1,X_146))
| composition(join(X_144,composition(X0,X1)),X_146) != join(composition(X_144,X_146),composition(composition(X0,X1),X_146))
| composition(join(X_144,composition(X0,X1)),X_146) = join(composition(X_144,X_146),composition(X0,composition(X1,X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,composition(X0,X1)),X_146),join(composition(X_144,X_146),composition(composition(X0,X1),X_146))) ),[1,1],$fot(composition(X0,composition(X1,X_146)))]]) ).
cnf(refute_0_1940,plain,
( composition(join(X_144,composition(X0,X1)),X_146) != join(composition(X_144,X_146),composition(composition(X0,X1),X_146))
| composition(join(X_144,composition(X0,X1)),X_146) = join(composition(X_144,X_146),composition(X0,composition(X1,X_146))) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),X_146),composition(X0,composition(X1,X_146))) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
composition(join(X_144,composition(X0,X1)),X_146) = join(composition(X_144,X_146),composition(X0,composition(X1,X_146))),
inference(resolve,[$cnf( $equal(composition(join(X_144,composition(X0,X1)),X_146),join(composition(X_144,X_146),composition(composition(X0,X1),X_146))) )],[refute_0_1935,refute_0_1940]) ).
cnf(refute_0_1942,plain,
( composition(join(X_144,composition(X0,X1)),X_146) != join(composition(X_144,X_146),composition(X0,composition(X1,X_146)))
| join(composition(X_144,X_146),composition(X0,composition(X1,X_146))) = composition(join(X_144,composition(X0,X1)),X_146) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_144,composition(X0,X1)),X_146))),bind(Y,$fot(join(composition(X_144,X_146),composition(X0,composition(X1,X_146)))))]]) ).
cnf(refute_0_1943,plain,
join(composition(X_144,X_146),composition(X0,composition(X1,X_146))) = composition(join(X_144,composition(X0,X1)),X_146),
inference(resolve,[$cnf( $equal(composition(join(X_144,composition(X0,X1)),X_146),join(composition(X_144,X_146),composition(X0,composition(X1,X_146)))) )],[refute_0_1941,refute_0_1942]) ).
cnf(refute_0_1944,plain,
join(composition(X_397,top),composition(X_397,composition(X0,top))) = composition(join(X_397,composition(X_397,X0)),top),
inference(subst,[],[refute_0_1943:[bind(X0,$fot(X_397)),bind(X1,$fot(X0)),bind(X_144,$fot(X_397)),bind(X_146,$fot(top))]]) ).
cnf(refute_0_1945,plain,
composition(X0,converse(top)) = composition(X0,converse(top)),
introduced(tautology,[refl,[$fot(composition(X0,converse(top)))]]) ).
cnf(refute_0_1946,plain,
( composition(X0,converse(top)) != composition(X0,converse(top))
| converse(top) != top
| composition(X0,converse(top)) = composition(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(top)),composition(X0,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1947,plain,
( converse(top) != top
| composition(X0,converse(top)) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(top)),composition(X0,converse(top))) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
composition(X0,converse(top)) = composition(X0,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_1947]) ).
cnf(refute_0_1949,plain,
composition(X_397,composition(X0,converse(top))) = composition(X_397,composition(X0,converse(top))),
introduced(tautology,[refl,[$fot(composition(X_397,composition(X0,converse(top))))]]) ).
cnf(refute_0_1950,plain,
( composition(X0,converse(top)) != composition(X0,top)
| composition(X_397,composition(X0,converse(top))) != composition(X_397,composition(X0,converse(top)))
| composition(X_397,composition(X0,converse(top))) = composition(X_397,composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_397,composition(X0,converse(top))),composition(X_397,composition(X0,converse(top)))) ),[1,1],$fot(composition(X0,top))]]) ).
cnf(refute_0_1951,plain,
( composition(X0,converse(top)) != composition(X0,top)
| composition(X_397,composition(X0,converse(top))) = composition(X_397,composition(X0,top)) ),
inference(resolve,[$cnf( $equal(composition(X_397,composition(X0,converse(top))),composition(X_397,composition(X0,converse(top)))) )],[refute_0_1949,refute_0_1950]) ).
cnf(refute_0_1952,plain,
composition(X_397,composition(X0,converse(top))) = composition(X_397,composition(X0,top)),
inference(resolve,[$cnf( $equal(composition(X0,converse(top)),composition(X0,top)) )],[refute_0_1948,refute_0_1951]) ).
cnf(refute_0_1953,plain,
join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),
introduced(tautology,[refl,[$fot(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))))]]) ).
cnf(refute_0_1954,plain,
( composition(X_397,composition(X0,converse(top))) != composition(X_397,composition(X0,top))
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) != join(composition(X_397,top),composition(X_397,composition(X0,converse(top))))
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = join(composition(X_397,top),composition(X_397,composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),join(composition(X_397,top),composition(X_397,composition(X0,converse(top))))) ),[1,1],$fot(composition(X_397,composition(X0,top)))]]) ).
cnf(refute_0_1955,plain,
( composition(X_397,composition(X0,converse(top))) != composition(X_397,composition(X0,top))
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = join(composition(X_397,top),composition(X_397,composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),join(composition(X_397,top),composition(X_397,composition(X0,converse(top))))) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = join(composition(X_397,top),composition(X_397,composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(X_397,composition(X0,converse(top))),composition(X_397,composition(X0,top))) )],[refute_0_1952,refute_0_1955]) ).
cnf(refute_0_1957,plain,
( join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) != join(composition(X_397,top),composition(X_397,composition(X0,top)))
| join(composition(X_397,top),composition(X_397,composition(X0,top))) != composition(join(X_397,composition(X_397,X0)),top)
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = composition(join(X_397,composition(X_397,X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))))),bind(Y,$fot(join(composition(X_397,top),composition(X_397,composition(X0,top))))),bind(Z,$fot(composition(join(X_397,composition(X_397,X0)),top)))]]) ).
cnf(refute_0_1958,plain,
( join(composition(X_397,top),composition(X_397,composition(X0,top))) != composition(join(X_397,composition(X_397,X0)),top)
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = composition(join(X_397,composition(X_397,X0)),top) ),
inference(resolve,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),join(composition(X_397,top),composition(X_397,composition(X0,top)))) )],[refute_0_1956,refute_0_1957]) ).
cnf(refute_0_1959,plain,
join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) = composition(join(X_397,composition(X_397,X0)),top),
inference(resolve,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,top))),composition(join(X_397,composition(X_397,X0)),top)) )],[refute_0_1944,refute_0_1958]) ).
cnf(refute_0_1960,plain,
( join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) != composition(X_397,top)
| join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) != composition(join(X_397,composition(X_397,X0)),top)
| composition(join(X_397,composition(X_397,X0)),top) = composition(X_397,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),composition(X_397,top)) ),[0],$fot(composition(join(X_397,composition(X_397,X0)),top))]]) ).
cnf(refute_0_1961,plain,
( join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))) != composition(X_397,top)
| composition(join(X_397,composition(X_397,X0)),top) = composition(X_397,top) ),
inference(resolve,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),composition(join(X_397,composition(X_397,X0)),top)) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
composition(join(X_397,composition(X_397,X0)),top) = composition(X_397,top),
inference(resolve,[$cnf( $equal(join(composition(X_397,top),composition(X_397,composition(X0,converse(top)))),composition(X_397,top)) )],[refute_0_1934,refute_0_1961]) ).
cnf(refute_0_1963,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_397,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1964,plain,
composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = join(composition(X_144,complement(converse(composition(top,X_144)))),composition(X_145,complement(converse(composition(top,X_144))))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(X_145)),bind(X2,$fot(complement(converse(composition(top,X_144)))))]]) ).
cnf(refute_0_1965,plain,
composition(X_144,complement(converse(composition(top,X_144)))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(X_144))]]) ).
cnf(refute_0_1966,plain,
( composition(X_144,complement(converse(composition(top,X_144)))) != zero
| composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) != join(composition(X_144,complement(converse(composition(top,X_144)))),composition(X_145,complement(converse(composition(top,X_144)))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = join(zero,composition(X_145,complement(converse(composition(top,X_144))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_144)))),join(composition(X_144,complement(converse(composition(top,X_144)))),composition(X_145,complement(converse(composition(top,X_144)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1967,plain,
( composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) != join(composition(X_144,complement(converse(composition(top,X_144)))),composition(X_145,complement(converse(composition(top,X_144)))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = join(zero,composition(X_145,complement(converse(composition(top,X_144))))) ),
inference(resolve,[$cnf( $equal(composition(X_144,complement(converse(composition(top,X_144)))),zero) )],[refute_0_1965,refute_0_1966]) ).
cnf(refute_0_1968,plain,
composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = join(zero,composition(X_145,complement(converse(composition(top,X_144))))),
inference(resolve,[$cnf( $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_144)))),join(composition(X_144,complement(converse(composition(top,X_144)))),composition(X_145,complement(converse(composition(top,X_144)))))) )],[refute_0_1964,refute_0_1967]) ).
cnf(refute_0_1969,plain,
join(zero,composition(X_145,complement(converse(composition(top,X_144))))) = composition(X_145,complement(converse(composition(top,X_144)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(X_145,complement(converse(composition(top,X_144))))))]]) ).
cnf(refute_0_1970,plain,
( composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) != join(zero,composition(X_145,complement(converse(composition(top,X_144)))))
| join(zero,composition(X_145,complement(converse(composition(top,X_144))))) != composition(X_145,complement(converse(composition(top,X_144))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = composition(X_145,complement(converse(composition(top,X_144)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_144)))),composition(X_145,complement(converse(composition(top,X_144))))) ),[0],$fot(join(zero,composition(X_145,complement(converse(composition(top,X_144))))))]]) ).
cnf(refute_0_1971,plain,
( composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) != join(zero,composition(X_145,complement(converse(composition(top,X_144)))))
| composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = composition(X_145,complement(converse(composition(top,X_144)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_145,complement(converse(composition(top,X_144))))),composition(X_145,complement(converse(composition(top,X_144))))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
composition(join(X_144,X_145),complement(converse(composition(top,X_144)))) = composition(X_145,complement(converse(composition(top,X_144)))),
inference(resolve,[$cnf( $equal(composition(join(X_144,X_145),complement(converse(composition(top,X_144)))),join(zero,composition(X_145,complement(converse(composition(top,X_144)))))) )],[refute_0_1968,refute_0_1971]) ).
cnf(refute_0_1973,plain,
composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1972:[bind(X_144,$fot(skolemFOFtoCNF_X0)),bind(X_145,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1974,plain,
X_95 = join(meet(X_95,complement(X1)),complement(join(complement(X_95),complement(X1)))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_95)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_1975,plain,
meet(X_95,X1) = complement(join(complement(X_95),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_95))]]) ).
cnf(refute_0_1976,plain,
( meet(X_95,X1) != complement(join(complement(X_95),complement(X1)))
| complement(join(complement(X_95),complement(X1))) = meet(X_95,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_95,X1))),bind(Y,$fot(complement(join(complement(X_95),complement(X1)))))]]) ).
cnf(refute_0_1977,plain,
complement(join(complement(X_95),complement(X1))) = meet(X_95,X1),
inference(resolve,[$cnf( $equal(meet(X_95,X1),complement(join(complement(X_95),complement(X1)))) )],[refute_0_1975,refute_0_1976]) ).
cnf(refute_0_1978,plain,
( X_95 != join(meet(X_95,complement(X1)),complement(join(complement(X_95),complement(X1))))
| complement(join(complement(X_95),complement(X1))) != meet(X_95,X1)
| X_95 = join(meet(X_95,complement(X1)),meet(X_95,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,complement(X1)),complement(join(complement(X_95),complement(X1))))) ),[1,1],$fot(meet(X_95,X1))]]) ).
cnf(refute_0_1979,plain,
( X_95 != join(meet(X_95,complement(X1)),complement(join(complement(X_95),complement(X1))))
| X_95 = join(meet(X_95,complement(X1)),meet(X_95,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_95),complement(X1))),meet(X_95,X1)) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
X_95 = join(meet(X_95,complement(X1)),meet(X_95,X1)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,complement(X1)),complement(join(complement(X_95),complement(X1))))) )],[refute_0_1974,refute_0_1979]) ).
cnf(refute_0_1981,plain,
join(meet(X_95,complement(X1)),meet(X_95,X1)) = join(meet(X_95,X1),meet(X_95,complement(X1))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(meet(X_95,X1))),bind(X1,$fot(meet(X_95,complement(X1))))]]) ).
cnf(refute_0_1982,plain,
( X_95 != join(meet(X_95,complement(X1)),meet(X_95,X1))
| join(meet(X_95,complement(X1)),meet(X_95,X1)) != join(meet(X_95,X1),meet(X_95,complement(X1)))
| X_95 = join(meet(X_95,X1),meet(X_95,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(meet(X_95,X1),meet(X_95,complement(X1)))) ),[0],$fot(join(meet(X_95,complement(X1)),meet(X_95,X1)))]]) ).
cnf(refute_0_1983,plain,
( X_95 != join(meet(X_95,complement(X1)),meet(X_95,X1))
| X_95 = join(meet(X_95,X1),meet(X_95,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,complement(X1)),meet(X_95,X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) )],[refute_0_1981,refute_0_1982]) ).
cnf(refute_0_1984,plain,
X_95 = join(meet(X_95,X1),meet(X_95,complement(X1))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,complement(X1)),meet(X_95,X1))) )],[refute_0_1980,refute_0_1983]) ).
cnf(refute_0_1985,plain,
one = join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1984:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(one))]]) ).
cnf(refute_0_1986,plain,
meet(one,skolemFOFtoCNF_X0) = complement(complement(meet(one,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1987,plain,
join(meet(X_109,X_108),meet(complement(X_109),X_108)) = join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))),
inference(subst,[],[refute_0_1781:[bind(X_256,$fot(meet(X_109,X_108))),bind(X_258,$fot(meet(complement(X_109),X_108)))]]) ).
cnf(refute_0_1988,plain,
( X_108 != join(meet(X_109,X_108),meet(complement(X_109),X_108))
| join(meet(X_109,X_108),meet(complement(X_109),X_108)) = X_108 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_108)),bind(Y,$fot(join(meet(X_109,X_108),meet(complement(X_109),X_108))))]]) ).
cnf(refute_0_1989,plain,
join(meet(X_109,X_108),meet(complement(X_109),X_108)) = X_108,
inference(resolve,[$cnf( $equal(X_108,join(meet(X_109,X_108),meet(complement(X_109),X_108))) )],[refute_0_1143,refute_0_1988]) ).
cnf(refute_0_1990,plain,
( join(meet(X_109,X_108),meet(complement(X_109),X_108)) != X_108
| join(meet(X_109,X_108),meet(complement(X_109),X_108)) != join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))
| X_108 = join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_109,X_108),meet(complement(X_109),X_108)),join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))) ),[0],$fot(X_108)]]) ).
cnf(refute_0_1991,plain,
( join(meet(X_109,X_108),meet(complement(X_109),X_108)) != join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))
| X_108 = join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) ),
inference(resolve,[$cnf( $equal(join(meet(X_109,X_108),meet(complement(X_109),X_108)),X_108) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
X_108 = join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))),
inference(resolve,[$cnf( $equal(join(meet(X_109,X_108),meet(complement(X_109),X_108)),join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))) )],[refute_0_1987,refute_0_1991]) ).
cnf(refute_0_1993,plain,
join(meet(complement(X_109),X_108),X_108) = join(X_108,meet(complement(X_109),X_108)),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(meet(complement(X_109),X_108))),bind(X_20,$fot(X_108))]]) ).
cnf(refute_0_1994,plain,
join(X_256,join(meet(X_109,X_108),meet(complement(X_109),X_108))) = join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(X_256)),bind(X_56,$fot(meet(X_109,X_108))),bind(X_57,$fot(meet(complement(X_109),X_108)))]]) ).
cnf(refute_0_1995,plain,
( join(X_256,join(meet(X_109,X_108),meet(complement(X_109),X_108))) != join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))
| join(meet(X_109,X_108),meet(complement(X_109),X_108)) != X_108
| join(X_256,X_108) = join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_256,join(meet(X_109,X_108),meet(complement(X_109),X_108))),join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))) ),[0,1],$fot(X_108)]]) ).
cnf(refute_0_1996,plain,
( join(X_256,join(meet(X_109,X_108),meet(complement(X_109),X_108))) != join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))
| join(X_256,X_108) = join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108))) ),
inference(resolve,[$cnf( $equal(join(meet(X_109,X_108),meet(complement(X_109),X_108)),X_108) )],[refute_0_1989,refute_0_1995]) ).
cnf(refute_0_1997,plain,
join(X_256,X_108) = join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108))),
inference(resolve,[$cnf( $equal(join(X_256,join(meet(X_109,X_108),meet(complement(X_109),X_108))),join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))) )],[refute_0_1994,refute_0_1996]) ).
cnf(refute_0_1998,plain,
( join(X_256,X_108) != join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))
| join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108))) = join(X_256,X_108) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_256,X_108))),bind(Y,$fot(join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))))]]) ).
cnf(refute_0_1999,plain,
join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108))) = join(X_256,X_108),
inference(resolve,[$cnf( $equal(join(X_256,X_108),join(meet(X_109,X_108),join(X_256,meet(complement(X_109),X_108)))) )],[refute_0_1997,refute_0_1998]) ).
cnf(refute_0_2000,plain,
join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) = join(meet(complement(X_109),X_108),X_108),
inference(subst,[],[refute_0_1999:[bind(X_256,$fot(meet(complement(X_109),X_108)))]]) ).
cnf(refute_0_2001,plain,
( join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) != join(meet(complement(X_109),X_108),X_108)
| join(meet(complement(X_109),X_108),X_108) != join(X_108,meet(complement(X_109),X_108))
| join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) = join(X_108,meet(complement(X_109),X_108)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))))),bind(Y,$fot(join(meet(complement(X_109),X_108),X_108))),bind(Z,$fot(join(X_108,meet(complement(X_109),X_108))))]]) ).
cnf(refute_0_2002,plain,
( join(meet(complement(X_109),X_108),X_108) != join(X_108,meet(complement(X_109),X_108))
| join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) = join(X_108,meet(complement(X_109),X_108)) ),
inference(resolve,[$cnf( $equal(join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))),join(meet(complement(X_109),X_108),X_108)) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) = join(X_108,meet(complement(X_109),X_108)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_109),X_108),X_108),join(X_108,meet(complement(X_109),X_108))) )],[refute_0_1993,refute_0_2002]) ).
cnf(refute_0_2004,plain,
join(X_256,join(X_257,X_258)) = join(X_257,join(X_256,X_258)),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(X_256)),bind(X_56,$fot(X_257)),bind(X_57,$fot(X_258))]]) ).
cnf(refute_0_2005,plain,
join(X_258,X_257) = join(X_257,X_258),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_258)),bind(X1,$fot(X_257))]]) ).
cnf(refute_0_2006,plain,
( join(X_258,X_257) != join(X_257,X_258)
| join(X_257,X_258) = join(X_258,X_257) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_258,X_257))),bind(Y,$fot(join(X_257,X_258)))]]) ).
cnf(refute_0_2007,plain,
join(X_257,X_258) = join(X_258,X_257),
inference(resolve,[$cnf( $equal(join(X_258,X_257),join(X_257,X_258)) )],[refute_0_2005,refute_0_2006]) ).
cnf(refute_0_2008,plain,
( join(X_256,join(X_257,X_258)) != join(X_257,join(X_256,X_258))
| join(X_257,X_258) != join(X_258,X_257)
| join(X_256,join(X_258,X_257)) = join(X_257,join(X_256,X_258)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_256,join(X_257,X_258)),join(X_257,join(X_256,X_258))) ),[0,1],$fot(join(X_258,X_257))]]) ).
cnf(refute_0_2009,plain,
( join(X_256,join(X_257,X_258)) != join(X_257,join(X_256,X_258))
| join(X_256,join(X_258,X_257)) = join(X_257,join(X_256,X_258)) ),
inference(resolve,[$cnf( $equal(join(X_257,X_258),join(X_258,X_257)) )],[refute_0_2007,refute_0_2008]) ).
cnf(refute_0_2010,plain,
join(X_256,join(X_258,X_257)) = join(X_257,join(X_256,X_258)),
inference(resolve,[$cnf( $equal(join(X_256,join(X_257,X_258)),join(X_257,join(X_256,X_258))) )],[refute_0_2004,refute_0_2009]) ).
cnf(refute_0_2011,plain,
( join(X_256,join(X_258,X_257)) != join(X_257,join(X_256,X_258))
| join(X_257,join(X_256,X_258)) = join(X_256,join(X_258,X_257)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_256,join(X_258,X_257)))),bind(Y,$fot(join(X_257,join(X_256,X_258))))]]) ).
cnf(refute_0_2012,plain,
join(X_257,join(X_256,X_258)) = join(X_256,join(X_258,X_257)),
inference(resolve,[$cnf( $equal(join(X_256,join(X_258,X_257)),join(X_257,join(X_256,X_258))) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) = join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(meet(X_109,X_108))),bind(X_257,$fot(meet(complement(X_109),X_108))),bind(X_258,$fot(meet(complement(X_109),X_108)))]]) ).
cnf(refute_0_2014,plain,
( join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) != join(X_108,meet(complement(X_109),X_108))
| join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) != join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108)))
| join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) = join(X_108,meet(complement(X_109),X_108)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))))),bind(Y,$fot(join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))))),bind(Z,$fot(join(X_108,meet(complement(X_109),X_108))))]]) ).
cnf(refute_0_2015,plain,
( join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))) != join(X_108,meet(complement(X_109),X_108))
| join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) = join(X_108,meet(complement(X_109),X_108)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))),join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108)))) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) = join(X_108,meet(complement(X_109),X_108)),
inference(resolve,[$cnf( $equal(join(meet(X_109,X_108),join(meet(complement(X_109),X_108),meet(complement(X_109),X_108))),join(X_108,meet(complement(X_109),X_108))) )],[refute_0_2003,refute_0_2015]) ).
cnf(refute_0_2017,plain,
( X_108 != join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))
| join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))) != join(X_108,meet(complement(X_109),X_108))
| X_108 = join(X_108,meet(complement(X_109),X_108)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_108,join(X_108,meet(complement(X_109),X_108))) ),[0],$fot(join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))))]]) ).
cnf(refute_0_2018,plain,
( X_108 != join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))
| X_108 = join(X_108,meet(complement(X_109),X_108)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108))),join(X_108,meet(complement(X_109),X_108))) )],[refute_0_2016,refute_0_2017]) ).
cnf(refute_0_2019,plain,
X_108 = join(X_108,meet(complement(X_109),X_108)),
inference(resolve,[$cnf( $equal(X_108,join(meet(complement(X_109),X_108),join(meet(X_109,X_108),meet(complement(X_109),X_108)))) )],[refute_0_1992,refute_0_2018]) ).
cnf(refute_0_2020,plain,
X_270 = join(X_270,meet(complement(complement(X1)),X_270)),
inference(subst,[],[refute_0_2019:[bind(X_108,$fot(X_270)),bind(X_109,$fot(complement(X1)))]]) ).
cnf(refute_0_2021,plain,
( X_270 != join(X_270,meet(complement(complement(X1)),X_270))
| complement(complement(X1)) != X1
| X_270 = join(X_270,meet(X1,X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(X_270,join(X_270,meet(complement(complement(X1)),X_270))) ),[1,1,0],$fot(X1)]]) ).
cnf(refute_0_2022,plain,
( X_270 != join(X_270,meet(complement(complement(X1)),X_270))
| X_270 = join(X_270,meet(X1,X_270)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_2021]) ).
cnf(refute_0_2023,plain,
X_270 = join(X_270,meet(X1,X_270)),
inference(resolve,[$cnf( $equal(X_270,join(X_270,meet(complement(complement(X1)),X_270))) )],[refute_0_2020,refute_0_2022]) ).
cnf(refute_0_2024,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(one))),bind(X_270,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2025,plain,
complement(one) = join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2026,plain,
join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2027,plain,
top = join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2028,plain,
( top != join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2029,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2031,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( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2029,refute_0_2030]) ).
cnf(refute_0_2032,plain,
join(one,top) = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_2026,refute_0_2031]) ).
cnf(refute_0_2033,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,top) != top
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(top)]]) ).
cnf(refute_0_2034,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_2033]) ).
cnf(refute_0_2035,plain,
top = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_2032,refute_0_2034]) ).
cnf(refute_0_2036,plain,
( top != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2037,plain,
join(one,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_2035,refute_0_2036]) ).
cnf(refute_0_2038,plain,
( complement(one) != join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| complement(one) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2039,plain,
( complement(one) != join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| complement(one) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
complement(one) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2025,refute_0_2039]) ).
cnf(refute_0_2041,plain,
join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2042,plain,
join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2043,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2044,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2044]) ).
cnf(refute_0_2046,plain,
( join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2047,plain,
( join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2045,refute_0_2046]) ).
cnf(refute_0_2048,plain,
join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_2041,refute_0_2047]) ).
cnf(refute_0_2049,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2050,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2040,refute_0_2050]) ).
cnf(refute_0_2052,plain,
( complement(one) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| meet(complement(one),complement(skolemFOFtoCNF_X0)) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2053,plain,
meet(complement(one),complement(skolemFOFtoCNF_X0)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_2051,refute_0_2052]) ).
cnf(refute_0_2054,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| meet(complement(one),complement(skolemFOFtoCNF_X0)) != complement(one)
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(complement(one),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_2055,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(skolemFOFtoCNF_X0)),complement(one)) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),complement(one)),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_2024,refute_0_2055]) ).
cnf(refute_0_2057,plain,
join(complement(one),complement(skolemFOFtoCNF_X0)) = complement(meet(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2058,plain,
join(complement(skolemFOFtoCNF_X0),complement(one)) = join(complement(one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(skolemFOFtoCNF_X0))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_2059,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),complement(one)) != join(complement(one),complement(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),complement(one)) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),complement(one)))),bind(Y,$fot(join(complement(one),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2060,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),complement(one)) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(one)),join(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
join(complement(skolemFOFtoCNF_X0),complement(one)) = complement(meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),complement(skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_2057,refute_0_2060]) ).
cnf(refute_0_2062,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),complement(one))
| join(complement(skolemFOFtoCNF_X0),complement(one)) != complement(meet(one,skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = complement(meet(one,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),complement(meet(one,skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),complement(one)))]]) ).
cnf(refute_0_2063,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),complement(one))
| complement(skolemFOFtoCNF_X0) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_2061,refute_0_2062]) ).
cnf(refute_0_2064,plain,
complement(skolemFOFtoCNF_X0) = complement(meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),complement(one))) )],[refute_0_2056,refute_0_2063]) ).
cnf(refute_0_2065,plain,
( complement(skolemFOFtoCNF_X0) != complement(meet(one,skolemFOFtoCNF_X0))
| complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(complement(meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2066,plain,
complement(meet(one,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_2064,refute_0_2065]) ).
cnf(refute_0_2067,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(one,skolemFOFtoCNF_X0) != complement(complement(meet(one,skolemFOFtoCNF_X0)))
| meet(one,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),complement(complement(meet(one,skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2068,plain,
( meet(one,skolemFOFtoCNF_X0) != complement(complement(meet(one,skolemFOFtoCNF_X0)))
| meet(one,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
meet(one,skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),complement(complement(meet(one,skolemFOFtoCNF_X0)))) )],[refute_0_1986,refute_0_2068]) ).
cnf(refute_0_2070,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_292:[bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2071,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(one,skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_2072,plain,
( meet(one,skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_2071]) ).
cnf(refute_0_2073,plain,
meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_2069,refute_0_2072]) ).
cnf(refute_0_2074,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| one != join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_2075,plain,
( one != join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_1985,refute_0_2075]) ).
cnf(refute_0_2077,plain,
( one != join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2078,plain,
join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
( composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_2080,plain,
( composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_2078,refute_0_2079]) ).
cnf(refute_0_2081,plain,
composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_1973,refute_0_2080]) ).
cnf(refute_0_2082,plain,
composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2083,plain,
( composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2084,plain,
( composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2082,refute_0_2083]) ).
cnf(refute_0_2085,plain,
complement(converse(composition(top,skolemFOFtoCNF_X0))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2081,refute_0_2084]) ).
cnf(refute_0_2086,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2087,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2085,refute_0_2086]) ).
cnf(refute_0_2088,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),[0,0,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2089,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_1963,refute_0_2089]) ).
cnf(refute_0_2091,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))) != complement(top)
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))),complement(top)) ),[0,1,1,0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2092,plain,
( join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))) != complement(top)
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_2090,refute_0_2091]) ).
cnf(refute_0_2093,plain,
join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))),complement(top)) )],[refute_0_1849,refute_0_2092]) ).
cnf(refute_0_2094,plain,
join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2095,plain,
converse(converse(composition(top,skolemFOFtoCNF_X0))) = composition(top,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2096,plain,
complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2097,plain,
( complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(converse(composition(top,skolemFOFtoCNF_X0))) != composition(top,skolemFOFtoCNF_X0)
| complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2098,plain,
( converse(converse(composition(top,skolemFOFtoCNF_X0))) != composition(top,skolemFOFtoCNF_X0)
| complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,skolemFOFtoCNF_X0))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2095,refute_0_2098]) ).
cnf(refute_0_2100,plain,
converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2101,plain,
( complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2102,plain,
( complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2100,refute_0_2101]) ).
cnf(refute_0_2103,plain,
converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2099,refute_0_2102]) ).
cnf(refute_0_2104,plain,
composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2105,plain,
( composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2106,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2103,refute_0_2106]) ).
cnf(refute_0_2108,plain,
composition(join(converse(X0),X_145),complement(composition(X0,top))) = join(composition(converse(X0),complement(composition(X0,top))),composition(X_145,complement(composition(X0,top)))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_145)),bind(X2,$fot(complement(composition(X0,top))))]]) ).
cnf(refute_0_2109,plain,
( composition(converse(X0),complement(composition(X0,top))) != zero
| composition(join(converse(X0),X_145),complement(composition(X0,top))) != join(composition(converse(X0),complement(composition(X0,top))),composition(X_145,complement(composition(X0,top))))
| composition(join(converse(X0),X_145),complement(composition(X0,top))) = join(zero,composition(X_145,complement(composition(X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X0),X_145),complement(composition(X0,top))),join(composition(converse(X0),complement(composition(X0,top))),composition(X_145,complement(composition(X0,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2110,plain,
( composition(join(converse(X0),X_145),complement(composition(X0,top))) != join(composition(converse(X0),complement(composition(X0,top))),composition(X_145,complement(composition(X0,top))))
| composition(join(converse(X0),X_145),complement(composition(X0,top))) = join(zero,composition(X_145,complement(composition(X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(X0,top))),zero) )],[refute_0_727,refute_0_2109]) ).
cnf(refute_0_2111,plain,
composition(join(converse(X0),X_145),complement(composition(X0,top))) = join(zero,composition(X_145,complement(composition(X0,top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),X_145),complement(composition(X0,top))),join(composition(converse(X0),complement(composition(X0,top))),composition(X_145,complement(composition(X0,top))))) )],[refute_0_2108,refute_0_2110]) ).
cnf(refute_0_2112,plain,
join(zero,composition(X_145,complement(composition(X0,top)))) = composition(X_145,complement(composition(X0,top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(X_145,complement(composition(X0,top)))))]]) ).
cnf(refute_0_2113,plain,
( composition(join(converse(X0),X_145),complement(composition(X0,top))) != join(zero,composition(X_145,complement(composition(X0,top))))
| join(zero,composition(X_145,complement(composition(X0,top)))) != composition(X_145,complement(composition(X0,top)))
| composition(join(converse(X0),X_145),complement(composition(X0,top))) = composition(X_145,complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(X0),X_145),complement(composition(X0,top))),composition(X_145,complement(composition(X0,top)))) ),[0],$fot(join(zero,composition(X_145,complement(composition(X0,top)))))]]) ).
cnf(refute_0_2114,plain,
( composition(join(converse(X0),X_145),complement(composition(X0,top))) != join(zero,composition(X_145,complement(composition(X0,top))))
| composition(join(converse(X0),X_145),complement(composition(X0,top))) = composition(X_145,complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_145,complement(composition(X0,top)))),composition(X_145,complement(composition(X0,top)))) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
composition(join(converse(X0),X_145),complement(composition(X0,top))) = composition(X_145,complement(composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),X_145),complement(composition(X0,top))),join(zero,composition(X_145,complement(composition(X0,top))))) )],[refute_0_2111,refute_0_2114]) ).
cnf(refute_0_2116,plain,
composition(join(converse(X_250),converse(X1)),complement(composition(X_250,top))) = composition(converse(X1),complement(composition(X_250,top))),
inference(subst,[],[refute_0_2115:[bind(X0,$fot(X_250)),bind(X_145,$fot(converse(X1)))]]) ).
cnf(refute_0_2117,plain,
converse(join(X_250,X1)) = join(converse(X_250),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(X_250))]]) ).
cnf(refute_0_2118,plain,
( converse(join(X_250,X1)) != join(converse(X_250),converse(X1))
| join(converse(X_250),converse(X1)) = converse(join(X_250,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_250,X1)))),bind(Y,$fot(join(converse(X_250),converse(X1))))]]) ).
cnf(refute_0_2119,plain,
join(converse(X_250),converse(X1)) = converse(join(X_250,X1)),
inference(resolve,[$cnf( $equal(converse(join(X_250,X1)),join(converse(X_250),converse(X1))) )],[refute_0_2117,refute_0_2118]) ).
cnf(refute_0_2120,plain,
( composition(join(converse(X_250),converse(X1)),complement(composition(X_250,top))) != composition(converse(X1),complement(composition(X_250,top)))
| join(converse(X_250),converse(X1)) != converse(join(X_250,X1))
| composition(converse(join(X_250,X1)),complement(composition(X_250,top))) = composition(converse(X1),complement(composition(X_250,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_250),converse(X1)),complement(composition(X_250,top))),composition(converse(X1),complement(composition(X_250,top)))) ),[0,0],$fot(converse(join(X_250,X1)))]]) ).
cnf(refute_0_2121,plain,
( composition(join(converse(X_250),converse(X1)),complement(composition(X_250,top))) != composition(converse(X1),complement(composition(X_250,top)))
| composition(converse(join(X_250,X1)),complement(composition(X_250,top))) = composition(converse(X1),complement(composition(X_250,top))) ),
inference(resolve,[$cnf( $equal(join(converse(X_250),converse(X1)),converse(join(X_250,X1))) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
composition(converse(join(X_250,X1)),complement(composition(X_250,top))) = composition(converse(X1),complement(composition(X_250,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_250),converse(X1)),complement(composition(X_250,top))),composition(converse(X1),complement(composition(X_250,top)))) )],[refute_0_2116,refute_0_2121]) ).
cnf(refute_0_2123,plain,
composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_2122:[bind(X1,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_250,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2124,plain,
( composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2125,plain,
( composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_2123,refute_0_2124]) ).
cnf(refute_0_2126,plain,
composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_2107,refute_0_2125]) ).
cnf(refute_0_2127,plain,
join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2128,plain,
( composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2129,plain,
( composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_2126,refute_0_2129]) ).
cnf(refute_0_2131,plain,
join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2132,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2133,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2133]) ).
cnf(refute_0_2135,plain,
( join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2136,plain,
( join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2130,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2139,plain,
( join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_2094,refute_0_2139]) ).
cnf(refute_0_2141,plain,
( join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(top)
| join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(top)) ),[0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2142,plain,
( join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_2140,refute_0_2141]) ).
cnf(refute_0_2143,plain,
( complement(top) != zero
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2144,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2143]) ).
cnf(refute_0_2145,plain,
( join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(top)) )],[refute_0_2142,refute_0_2144]) ).
cnf(refute_0_2146,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(top)) )],[refute_0_2093,refute_0_2145]) ).
cnf(refute_0_2147,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != zero
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_2148,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),zero) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_1848,refute_0_2148]) ).
cnf(refute_0_2150,plain,
converse(complement(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2151,plain,
join(zero,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2152,plain,
converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2153,plain,
( converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0))))
| join(zero,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2154,plain,
( join(zero,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2152,refute_0_2153]) ).
cnf(refute_0_2155,plain,
converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2151,refute_0_2154]) ).
cnf(refute_0_2156,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(zero,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_2157,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2155,refute_0_2156]) ).
cnf(refute_0_2158,plain,
converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2150,refute_0_2157]) ).
cnf(refute_0_2159,plain,
converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) = converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2160,plain,
( converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) != converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0))))
| converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)))),bind(Y,$fot(converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2161,plain,
( converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)),converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2158,refute_0_2161]) ).
cnf(refute_0_2163,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)))]]) ).
cnf(refute_0_2164,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero))) )],[refute_0_2149,refute_0_2164]) ).
cnf(refute_0_2166,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) != zero
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),zero) ),[0,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2167,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) != zero
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_2166]) ).
cnf(refute_0_2168,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),zero) )],[refute_0_1810,refute_0_2167]) ).
cnf(refute_0_2169,plain,
composition(join(top,X1),top) = join(composition(top,top),composition(X1,top)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_0_2170,plain,
( composition(join(top,X1),top) != join(composition(top,top),composition(X1,top))
| composition(top,top) != top
| composition(join(top,X1),top) = join(top,composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),top),join(composition(top,top),composition(X1,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2171,plain,
( composition(join(top,X1),top) != join(composition(top,top),composition(X1,top))
| composition(join(top,X1),top) = join(top,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_800,refute_0_2170]) ).
cnf(refute_0_2172,plain,
composition(join(top,X1),top) = join(top,composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(join(top,X1),top),join(composition(top,top),composition(X1,top))) )],[refute_0_2169,refute_0_2171]) ).
cnf(refute_0_2173,plain,
join(top,X1) = top,
inference(subst,[],[refute_0_1304:[bind(X_82,$fot(X1))]]) ).
cnf(refute_0_2174,plain,
composition(join(top,X1),top) = composition(join(top,X1),top),
introduced(tautology,[refl,[$fot(composition(join(top,X1),top))]]) ).
cnf(refute_0_2175,plain,
( composition(join(top,X1),top) != composition(join(top,X1),top)
| join(top,X1) != top
| composition(join(top,X1),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),top),composition(join(top,X1),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2176,plain,
( join(top,X1) != top
| composition(join(top,X1),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),top),composition(join(top,X1),top)) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
composition(join(top,X1),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_2173,refute_0_2176]) ).
cnf(refute_0_2178,plain,
( composition(join(top,X1),top) != composition(top,top)
| composition(top,top) != top
| composition(join(top,X1),top) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(top,X1),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2179,plain,
( composition(top,top) != top
| composition(join(top,X1),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),top),composition(top,top)) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
composition(join(top,X1),top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_800,refute_0_2179]) ).
cnf(refute_0_2181,plain,
( composition(join(top,X1),top) != join(top,composition(X1,top))
| composition(join(top,X1),top) != top
| top = join(top,composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),top),join(top,composition(X1,top))) ),[0],$fot(top)]]) ).
cnf(refute_0_2182,plain,
( composition(join(top,X1),top) != join(top,composition(X1,top))
| top = join(top,composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),top),top) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
join(top,composition(X1,top)) = composition(join(X1,one),top),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(X1)),bind(X_146,$fot(top))]]) ).
cnf(refute_0_2184,plain,
( join(top,composition(X1,top)) != composition(join(X1,one),top)
| top != join(top,composition(X1,top))
| top = composition(join(X1,one),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,composition(X1,top))) ),[1],$fot(composition(join(X1,one),top))]]) ).
cnf(refute_0_2185,plain,
( top != join(top,composition(X1,top))
| top = composition(join(X1,one),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(X1,top)),composition(join(X1,one),top)) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
( composition(join(top,X1),top) != join(top,composition(X1,top))
| top = composition(join(X1,one),top) ),
inference(resolve,[$cnf( $equal(top,join(top,composition(X1,top))) )],[refute_0_2182,refute_0_2185]) ).
cnf(refute_0_2187,plain,
top = composition(join(X1,one),top),
inference(resolve,[$cnf( $equal(composition(join(top,X1),top),join(top,composition(X1,top))) )],[refute_0_2172,refute_0_2186]) ).
cnf(refute_0_2188,plain,
top = composition(join(X_149,one),top),
inference(subst,[],[refute_0_2187:[bind(X1,$fot(X_149))]]) ).
cnf(refute_0_2189,plain,
join(one,X_149) = join(X_149,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_149))]]) ).
cnf(refute_0_2190,plain,
( join(one,X_149) != join(X_149,one)
| join(X_149,one) = join(one,X_149) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_149))),bind(Y,$fot(join(X_149,one)))]]) ).
cnf(refute_0_2191,plain,
join(X_149,one) = join(one,X_149),
inference(resolve,[$cnf( $equal(join(one,X_149),join(X_149,one)) )],[refute_0_2189,refute_0_2190]) ).
cnf(refute_0_2192,plain,
( join(X_149,one) != join(one,X_149)
| top != composition(join(X_149,one),top)
| top = composition(join(one,X_149),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,composition(join(X_149,one),top)) ),[1,0],$fot(join(one,X_149))]]) ).
cnf(refute_0_2193,plain,
( top != composition(join(X_149,one),top)
| top = composition(join(one,X_149),top) ),
inference(resolve,[$cnf( $equal(join(X_149,one),join(one,X_149)) )],[refute_0_2191,refute_0_2192]) ).
cnf(refute_0_2194,plain,
top = composition(join(one,X_149),top),
inference(resolve,[$cnf( $equal(top,composition(join(X_149,one),top)) )],[refute_0_2188,refute_0_2193]) ).
cnf(refute_0_2195,plain,
( top != composition(join(one,X_149),top)
| composition(join(one,X_149),top) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(composition(join(one,X_149),top)))]]) ).
cnf(refute_0_2196,plain,
composition(join(one,X_149),top) = top,
inference(resolve,[$cnf( $equal(top,composition(join(one,X_149),top)) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top) = top,
inference(subst,[],[refute_0_2196:[bind(X_149,$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2198,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)))]]) ).
cnf(refute_0_2199,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2200,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top))) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top),top) )],[refute_0_2197,refute_0_2200]) ).
cnf(refute_0_2202,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X2,$fot(top))]]) ).
cnf(refute_0_2203,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2204,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top))) )],[refute_0_2202,refute_0_2203]) ).
cnf(refute_0_2205,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2201,refute_0_2204]) ).
cnf(refute_0_2206,plain,
complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) = complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)))]]) ).
cnf(refute_0_2207,plain,
( complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) != complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2208,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2205,refute_0_2208]) ).
cnf(refute_0_2210,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))))]]) ).
cnf(refute_0_2211,plain,
( complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)))) ),[1,1],$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2212,plain,
( complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)))) )],[refute_0_2210,refute_0_2211]) ).
cnf(refute_0_2213,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top)),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2209,refute_0_2212]) ).
cnf(refute_0_2214,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) != zero
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),zero) ),[0],$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2215,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))) != zero
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2213,refute_0_2214]) ).
cnf(refute_0_2216,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top))),zero) )],[refute_0_2168,refute_0_2215]) ).
cnf(refute_0_2217,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != zero
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2218,plain,
( join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),zero) )],[refute_0_2216,refute_0_2217]) ).
cnf(refute_0_2219,plain,
join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_1809,refute_0_2218]) ).
cnf(refute_0_2220,plain,
complement(converse(zero)) = complement(converse(zero)),
introduced(tautology,[refl,[$fot(complement(converse(zero)))]]) ).
cnf(refute_0_2221,plain,
( complement(converse(zero)) != complement(converse(zero))
| converse(zero) != zero
| complement(converse(zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(zero)),complement(converse(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2222,plain,
( converse(zero) != zero
| complement(converse(zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),complement(converse(zero))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
complement(converse(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_2222]) ).
cnf(refute_0_2224,plain,
( complement(converse(zero)) != complement(zero)
| complement(zero) != top
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(zero)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2225,plain,
( complement(zero) != top
| complement(converse(zero)) = top ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),complement(zero)) )],[refute_0_2223,refute_0_2224]) ).
cnf(refute_0_2226,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_2225]) ).
cnf(refute_0_2227,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))]]) ).
cnf(refute_0_2228,plain,
( complement(converse(zero)) != top
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2229,plain,
( complement(converse(zero)) != top
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_2229]) ).
cnf(refute_0_2231,plain,
join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))))]]) ).
cnf(refute_0_2232,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))]]) ).
cnf(refute_0_2233,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))) )],[refute_0_2231,refute_0_2232]) ).
cnf(refute_0_2234,plain,
join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) )],[refute_0_2230,refute_0_2233]) ).
cnf(refute_0_2235,plain,
complement(complement(composition(top,skolemFOFtoCNF_X0))) = composition(top,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2236,plain,
complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2237,plain,
( complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = complement(complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2238,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = complement(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = complement(complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2103,refute_0_2238]) ).
cnf(refute_0_2240,plain,
( complement(complement(composition(top,skolemFOFtoCNF_X0))) != composition(top,skolemFOFtoCNF_X0)
| complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2241,plain,
( complement(complement(composition(top,skolemFOFtoCNF_X0))) != composition(top,skolemFOFtoCNF_X0)
| complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2239,refute_0_2240]) ).
cnf(refute_0_2242,plain,
complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2235,refute_0_2241]) ).
cnf(refute_0_2243,plain,
join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))))]]) ).
cnf(refute_0_2244,plain,
( complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2245,plain,
( complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2242,refute_0_2245]) ).
cnf(refute_0_2247,plain,
( join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))))),bind(Y,$fot(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))))),bind(Z,$fot(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))]]) ).
cnf(refute_0_2248,plain,
( join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero))))) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) = join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),
inference(resolve,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) )],[refute_0_2234,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))]]) ).
cnf(refute_0_2251,plain,
( join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) )],[refute_0_2249,refute_0_2250]) ).
cnf(refute_0_2252,plain,
( complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = composition(top,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[1],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2253,plain,
( join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2242,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))) != complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2251,refute_0_2253]) ).
cnf(refute_0_2255,plain,
join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(zero)))),complement(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2219,refute_0_2254]) ).
cnf(refute_0_2256,plain,
( join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) != composition(top,skolemFOFtoCNF_X0)
| zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))))
| zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))))) ),[1,1,0,0,1],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2257,plain,
( zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))))
| zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2255,refute_0_2256]) ).
cnf(refute_0_2258,plain,
zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,join(composition(top,skolemFOFtoCNF_X0),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))))) )],[refute_0_1792,refute_0_2257]) ).
cnf(refute_0_2259,plain,
composition(top,composition(top,skolemFOFtoCNF_X0)) = composition(top,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_803:[bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2260,plain,
converse(composition(top,composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2261,plain,
( composition(top,composition(top,skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| converse(composition(top,composition(top,skolemFOFtoCNF_X0))) != converse(composition(top,composition(top,skolemFOFtoCNF_X0)))
| converse(composition(top,composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,skolemFOFtoCNF_X0))),converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2262,plain,
( composition(top,composition(top,skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| converse(composition(top,composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,skolemFOFtoCNF_X0))),converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2260,refute_0_2261]) ).
cnf(refute_0_2263,plain,
converse(composition(top,composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,skolemFOFtoCNF_X0)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2259,refute_0_2262]) ).
cnf(refute_0_2264,plain,
complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2265,plain,
( complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))
| converse(composition(top,composition(top,skolemFOFtoCNF_X0))) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2266,plain,
( converse(composition(top,composition(top,skolemFOFtoCNF_X0))) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2264,refute_0_2265]) ).
cnf(refute_0_2267,plain,
complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,skolemFOFtoCNF_X0))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2263,refute_0_2266]) ).
cnf(refute_0_2268,plain,
composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2269,plain,
( complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) != composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2270,plain,
( complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2268,refute_0_2269]) ).
cnf(refute_0_2271,plain,
composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2267,refute_0_2270]) ).
cnf(refute_0_2272,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2273,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))
| composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) != composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2274,plain,
( composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) != composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2271,refute_0_2274]) ).
cnf(refute_0_2276,plain,
composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(top)),bind(X2,$fot(complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2277,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))
| composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2278,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2276,refute_0_2277]) ).
cnf(refute_0_2279,plain,
composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2275,refute_0_2278]) ).
cnf(refute_0_2280,plain,
( composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) ),[1],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2281,plain,
( zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2279,refute_0_2280]) ).
cnf(refute_0_2282,plain,
zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(top,composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2258,refute_0_2281]) ).
cnf(refute_0_2283,plain,
( zero != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2284,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2282,refute_0_2283]) ).
cnf(refute_0_2285,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != zero
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| converse(zero) = composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2286,plain,
( converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| converse(zero) = composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),zero) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
converse(zero) = composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_1653,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( converse(zero) != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| converse(zero) != zero
| zero = composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2289,plain,
( converse(zero) != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| zero = composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_2288]) ).
cnf(refute_0_2290,plain,
converse(composition(X_11,converse(top))) = composition(top,converse(X_11)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(top))]]) ).
cnf(refute_0_2291,plain,
( converse(composition(X_11,converse(top))) != composition(top,converse(X_11))
| converse(top) != top
| converse(composition(X_11,top)) = composition(top,converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(top))),composition(top,converse(X_11))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_2292,plain,
( converse(composition(X_11,converse(top))) != composition(top,converse(X_11))
| converse(composition(X_11,top)) = composition(top,converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_2291]) ).
cnf(refute_0_2293,plain,
converse(composition(X_11,top)) = composition(top,converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(top))),composition(top,converse(X_11))) )],[refute_0_2290,refute_0_2292]) ).
cnf(refute_0_2294,plain,
( converse(composition(X_11,top)) != composition(top,converse(X_11))
| composition(top,converse(X_11)) = converse(composition(X_11,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_11,top)))),bind(Y,$fot(composition(top,converse(X_11))))]]) ).
cnf(refute_0_2295,plain,
composition(top,converse(X_11)) = converse(composition(X_11,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,top)),composition(top,converse(X_11))) )],[refute_0_2293,refute_0_2294]) ).
cnf(refute_0_2296,plain,
composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2297,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2298,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))
| composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) ),[1,1],$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))]]) ).
cnf(refute_0_2299,plain,
( composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) )],[refute_0_2297,refute_0_2298]) ).
cnf(refute_0_2300,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) )],[refute_0_2296,refute_0_2299]) ).
cnf(refute_0_2301,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(top)),bind(X2,$fot(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2302,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))]]) ).
cnf(refute_0_2303,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) )],[refute_0_2301,refute_0_2302]) ).
cnf(refute_0_2304,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_2300,refute_0_2303]) ).
cnf(refute_0_2305,plain,
converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(X_11,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2306,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))]]) ).
cnf(refute_0_2307,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_2305,refute_0_2306]) ).
cnf(refute_0_2308,plain,
converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_2304,refute_0_2307]) ).
cnf(refute_0_2309,plain,
converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = composition(converse(X1),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2310,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) != composition(converse(X1),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),composition(converse(X1),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) ),[1,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2311,plain,
( converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) != composition(converse(X1),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_2310]) ).
cnf(refute_0_2312,plain,
converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),composition(converse(X1),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_2309,refute_0_2311]) ).
cnf(refute_0_2313,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2314,plain,
converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)))]]) ).
cnf(refute_0_2315,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) != converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)))]]) ).
cnf(refute_0_2316,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1))) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) )],[refute_0_2313,refute_0_2316]) ).
cnf(refute_0_2318,plain,
( converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))))]]) ).
cnf(refute_0_2319,plain,
( converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)))) )],[refute_0_2317,refute_0_2318]) ).
cnf(refute_0_2320,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X1)),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2312,refute_0_2319]) ).
cnf(refute_0_2321,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)) = composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2322,plain,
converse(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2323,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),[0,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2324,plain,
( converse(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_2323]) ).
cnf(refute_0_2325,plain,
converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2322,refute_0_2324]) ).
cnf(refute_0_2326,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| complement(composition(top,skolemFOFtoCNF_X0)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),[0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2327,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| complement(composition(top,skolemFOFtoCNF_X0)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2103,refute_0_2326]) ).
cnf(refute_0_2328,plain,
complement(composition(top,skolemFOFtoCNF_X0)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2325,refute_0_2327]) ).
cnf(refute_0_2329,plain,
( complement(composition(top,skolemFOFtoCNF_X0)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2330,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_2328,refute_0_2329]) ).
cnf(refute_0_2331,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X2)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X2)) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2332,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X2)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),X2) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),X2),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X2)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),X2)) )],[refute_0_2321,refute_0_2332]) ).
cnf(refute_0_2334,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),X1),
inference(subst,[],[refute_0_2333:[bind(X2,$fot(X1))]]) ).
cnf(refute_0_2335,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))))]]) ).
cnf(refute_0_2336,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1))]]) ).
cnf(refute_0_2337,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)))) )],[refute_0_2335,refute_0_2336]) ).
cnf(refute_0_2338,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1)),composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) )],[refute_0_2334,refute_0_2337]) ).
cnf(refute_0_2339,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)))]]) ).
cnf(refute_0_2340,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1))) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),X1))),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2320,refute_0_2340]) ).
cnf(refute_0_2342,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)))),bind(Y,$fot(composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2343,plain,
composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2341,refute_0_2342]) ).
cnf(refute_0_2344,plain,
composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_2343:[bind(X1,$fot(top))]]) ).
cnf(refute_0_2345,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2346,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2347,plain,
( composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2345,refute_0_2346]) ).
cnf(refute_0_2348,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2344,refute_0_2347]) ).
cnf(refute_0_2349,plain,
converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2350,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2351,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2348,refute_0_2351]) ).
cnf(refute_0_2353,plain,
( converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))]]) ).
cnf(refute_0_2354,plain,
( converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_2352,refute_0_2353]) ).
cnf(refute_0_2355,plain,
converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_2308,refute_0_2354]) ).
cnf(refute_0_2356,plain,
converse(composition(X0,composition(converse(X_13),X_14))) = composition(converse(composition(converse(X_13),X_14)),converse(X0)),
inference(subst,[],[refute_0_57:[bind(X1,$fot(composition(converse(X_13),X_14)))]]) ).
cnf(refute_0_2357,plain,
converse(composition(converse(X_13),X_14)) = composition(converse(X_14),X_13),
inference(subst,[],[refute_0_62:[bind(X0,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_2358,plain,
( converse(composition(X0,composition(converse(X_13),X_14))) != composition(converse(composition(converse(X_13),X_14)),converse(X0))
| converse(composition(converse(X_13),X_14)) != composition(converse(X_14),X_13)
| converse(composition(X0,composition(converse(X_13),X_14))) = composition(composition(converse(X_14),X_13),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(converse(X_13),X_14))),composition(converse(composition(converse(X_13),X_14)),converse(X0))) ),[1,0],$fot(composition(converse(X_14),X_13))]]) ).
cnf(refute_0_2359,plain,
( converse(composition(X0,composition(converse(X_13),X_14))) != composition(converse(composition(converse(X_13),X_14)),converse(X0))
| converse(composition(X0,composition(converse(X_13),X_14))) = composition(composition(converse(X_14),X_13),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),X_14)),composition(converse(X_14),X_13)) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
converse(composition(X0,composition(converse(X_13),X_14))) = composition(composition(converse(X_14),X_13),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(X_13),X_14))),composition(converse(composition(converse(X_13),X_14)),converse(X0))) )],[refute_0_2356,refute_0_2359]) ).
cnf(refute_0_2361,plain,
composition(composition(converse(X_14),X_13),converse(X0)) = composition(converse(X_14),composition(X_13,converse(X0))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(converse(X_14))),bind(X1,$fot(X_13)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_2362,plain,
( composition(composition(converse(X_14),X_13),converse(X0)) != composition(converse(X_14),composition(X_13,converse(X0)))
| converse(composition(X0,composition(converse(X_13),X_14))) != composition(composition(converse(X_14),X_13),converse(X0))
| converse(composition(X0,composition(converse(X_13),X_14))) = composition(converse(X_14),composition(X_13,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(converse(X_13),X_14))),composition(composition(converse(X_14),X_13),converse(X0))) ),[1],$fot(composition(converse(X_14),composition(X_13,converse(X0))))]]) ).
cnf(refute_0_2363,plain,
( converse(composition(X0,composition(converse(X_13),X_14))) != composition(composition(converse(X_14),X_13),converse(X0))
| converse(composition(X0,composition(converse(X_13),X_14))) = composition(converse(X_14),composition(X_13,converse(X0))) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_14),X_13),converse(X0)),composition(converse(X_14),composition(X_13,converse(X0)))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
converse(composition(X0,composition(converse(X_13),X_14))) = composition(converse(X_14),composition(X_13,converse(X0))),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(X_13),X_14))),composition(composition(converse(X_14),X_13),converse(X0))) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( converse(composition(X0,composition(converse(X_13),X_14))) != composition(converse(X_14),composition(X_13,converse(X0)))
| composition(converse(X_14),composition(X_13,converse(X0))) = converse(composition(X0,composition(converse(X_13),X_14))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X0,composition(converse(X_13),X_14))))),bind(Y,$fot(composition(converse(X_14),composition(X_13,converse(X0)))))]]) ).
cnf(refute_0_2366,plain,
composition(converse(X_14),composition(X_13,converse(X0))) = converse(composition(X0,composition(converse(X_13),X_14))),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(X_13),X_14))),composition(converse(X_14),composition(X_13,converse(X0)))) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2366:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X_13,$fot(top)),bind(X_14,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2368,plain,
composition(converse(X_414),composition(top,X2)) = composition(composition(converse(X_414),top),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(converse(X_414))),bind(X1,$fot(top))]]) ).
cnf(refute_0_2369,plain,
converse(composition(top,X_414)) = composition(converse(X_414),top),
inference(subst,[],[refute_0_1662:[bind(X_12,$fot(X_414))]]) ).
cnf(refute_0_2370,plain,
( converse(composition(top,X_414)) != composition(converse(X_414),top)
| composition(converse(X_414),top) = converse(composition(top,X_414)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,X_414)))),bind(Y,$fot(composition(converse(X_414),top)))]]) ).
cnf(refute_0_2371,plain,
composition(converse(X_414),top) = converse(composition(top,X_414)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_414)),composition(converse(X_414),top)) )],[refute_0_2369,refute_0_2370]) ).
cnf(refute_0_2372,plain,
( composition(converse(X_414),composition(top,X2)) != composition(composition(converse(X_414),top),X2)
| composition(converse(X_414),top) != converse(composition(top,X_414))
| composition(converse(X_414),composition(top,X2)) = composition(converse(composition(top,X_414)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_414),composition(top,X2)),composition(composition(converse(X_414),top),X2)) ),[1,0],$fot(converse(composition(top,X_414)))]]) ).
cnf(refute_0_2373,plain,
( composition(converse(X_414),composition(top,X2)) != composition(composition(converse(X_414),top),X2)
| composition(converse(X_414),composition(top,X2)) = composition(converse(composition(top,X_414)),X2) ),
inference(resolve,[$cnf( $equal(composition(converse(X_414),top),converse(composition(top,X_414))) )],[refute_0_2371,refute_0_2372]) ).
cnf(refute_0_2374,plain,
composition(converse(X_414),composition(top,X2)) = composition(converse(composition(top,X_414)),X2),
inference(resolve,[$cnf( $equal(composition(converse(X_414),composition(top,X2)),composition(composition(converse(X_414),top),X2)) )],[refute_0_2368,refute_0_2373]) ).
cnf(refute_0_2375,plain,
( composition(converse(X_414),composition(top,X2)) != composition(converse(composition(top,X_414)),X2)
| composition(converse(composition(top,X_414)),X2) = composition(converse(X_414),composition(top,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(converse(X_414),composition(top,X2)))),bind(Y,$fot(composition(converse(composition(top,X_414)),X2)))]]) ).
cnf(refute_0_2376,plain,
composition(converse(composition(top,X_414)),X2) = composition(converse(X_414),composition(top,X2)),
inference(resolve,[$cnf( $equal(composition(converse(X_414),composition(top,X2)),composition(converse(composition(top,X_414)),X2)) )],[refute_0_2374,refute_0_2375]) ).
cnf(refute_0_2377,plain,
composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(X_414,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2378,plain,
( composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))
| composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))),bind(Z,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2379,plain,
( composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2367,refute_0_2379]) ).
cnf(refute_0_2381,plain,
( composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))]]) ).
cnf(refute_0_2382,plain,
( converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2380,refute_0_2381]) ).
cnf(refute_0_2383,plain,
composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_2355,refute_0_2382]) ).
cnf(refute_0_2384,plain,
( composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| zero != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))]]) ).
cnf(refute_0_2385,plain,
( zero != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_2383,refute_0_2384]) ).
cnf(refute_0_2386,plain,
( converse(zero) != composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_2289,refute_0_2385]) ).
cnf(refute_0_2387,plain,
zero = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_2287,refute_0_2386]) ).
cnf(refute_0_2388,plain,
( zero != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))]]) ).
cnf(refute_0_2389,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))) != zero
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| converse(zero) = composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))),composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2391,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| converse(zero) = composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),zero) )],[refute_0_2389,refute_0_2390]) ).
cnf(refute_0_2392,plain,
converse(zero) = composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))),composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_1652,refute_0_2391]) ).
cnf(refute_0_2393,plain,
( converse(zero) != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| converse(zero) != zero
| zero = composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2394,plain,
( converse(zero) != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| zero = composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_2393]) ).
cnf(refute_0_2395,plain,
composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2396,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2397,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2398,plain,
( composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2396,refute_0_2397]) ).
cnf(refute_0_2399,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2395,refute_0_2398]) ).
cnf(refute_0_2400,plain,
composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(top)),bind(X2,$fot(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2401,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),bind(X_11,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2402,plain,
( composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))),bind(Y,$fot(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2403,plain,
( composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))),composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2400,refute_0_2403]) ).
cnf(refute_0_2405,plain,
composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))]]) ).
cnf(refute_0_2406,plain,
( composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))))),bind(Z,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2407,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))))) )],[refute_0_2405,refute_0_2406]) ).
cnf(refute_0_2408,plain,
composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2404,refute_0_2407]) ).
cnf(refute_0_2409,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2410,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2408,refute_0_2409]) ).
cnf(refute_0_2411,plain,
composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2399,refute_0_2410]) ).
cnf(refute_0_2412,plain,
( composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| zero != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[1],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2413,plain,
( zero != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2411,refute_0_2412]) ).
cnf(refute_0_2414,plain,
( converse(zero) != composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2394,refute_0_2413]) ).
cnf(refute_0_2415,plain,
zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))),converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2392,refute_0_2414]) ).
cnf(refute_0_2416,plain,
( zero != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2417,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2415,refute_0_2416]) ).
cnf(refute_0_2418,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != zero
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_2419,plain,
( join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),zero) )],[refute_0_2417,refute_0_2418]) ).
cnf(refute_0_2420,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_1651,refute_0_2419]) ).
cnf(refute_0_2421,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)))]]) ).
cnf(refute_0_2422,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top))
| join(one,top) != top
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2423,plain,
( join(one,top) != top
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_2423]) ).
cnf(refute_0_2425,plain,
converse(converse(join(X_425,composition(X_425,X_426)))) = join(X_425,composition(X_425,X_426)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X_425,composition(X_425,X_426))))]]) ).
cnf(refute_0_2426,plain,
converse(composition(X_425,join(one,X_426))) = converse(join(X_425,composition(X_425,X_426))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(X_425)),bind(X1,$fot(X_426))]]) ).
cnf(refute_0_2427,plain,
( converse(composition(X_425,join(one,X_426))) != converse(join(X_425,composition(X_425,X_426)))
| converse(join(X_425,composition(X_425,X_426))) = converse(composition(X_425,join(one,X_426))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_425,join(one,X_426))))),bind(Y,$fot(converse(join(X_425,composition(X_425,X_426)))))]]) ).
cnf(refute_0_2428,plain,
converse(join(X_425,composition(X_425,X_426))) = converse(composition(X_425,join(one,X_426))),
inference(resolve,[$cnf( $equal(converse(composition(X_425,join(one,X_426))),converse(join(X_425,composition(X_425,X_426)))) )],[refute_0_2426,refute_0_2427]) ).
cnf(refute_0_2429,plain,
( converse(converse(join(X_425,composition(X_425,X_426)))) != join(X_425,composition(X_425,X_426))
| converse(join(X_425,composition(X_425,X_426))) != converse(composition(X_425,join(one,X_426)))
| converse(converse(composition(X_425,join(one,X_426)))) = join(X_425,composition(X_425,X_426)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_425,composition(X_425,X_426)))),join(X_425,composition(X_425,X_426))) ),[0,0],$fot(converse(composition(X_425,join(one,X_426))))]]) ).
cnf(refute_0_2430,plain,
( converse(converse(join(X_425,composition(X_425,X_426)))) != join(X_425,composition(X_425,X_426))
| converse(converse(composition(X_425,join(one,X_426)))) = join(X_425,composition(X_425,X_426)) ),
inference(resolve,[$cnf( $equal(converse(join(X_425,composition(X_425,X_426))),converse(composition(X_425,join(one,X_426)))) )],[refute_0_2428,refute_0_2429]) ).
cnf(refute_0_2431,plain,
converse(converse(composition(X_425,join(one,X_426)))) = join(X_425,composition(X_425,X_426)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_425,composition(X_425,X_426)))),join(X_425,composition(X_425,X_426))) )],[refute_0_2425,refute_0_2430]) ).
cnf(refute_0_2432,plain,
converse(converse(composition(X_425,join(one,X_426)))) = composition(X_425,join(one,X_426)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(X_425,join(one,X_426))))]]) ).
cnf(refute_0_2433,plain,
( converse(converse(composition(X_425,join(one,X_426)))) != composition(X_425,join(one,X_426))
| converse(converse(composition(X_425,join(one,X_426)))) != join(X_425,composition(X_425,X_426))
| composition(X_425,join(one,X_426)) = join(X_425,composition(X_425,X_426)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(X_425,join(one,X_426)))),join(X_425,composition(X_425,X_426))) ),[0],$fot(composition(X_425,join(one,X_426)))]]) ).
cnf(refute_0_2434,plain,
( converse(converse(composition(X_425,join(one,X_426)))) != join(X_425,composition(X_425,X_426))
| composition(X_425,join(one,X_426)) = join(X_425,composition(X_425,X_426)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_425,join(one,X_426)))),composition(X_425,join(one,X_426))) )],[refute_0_2432,refute_0_2433]) ).
cnf(refute_0_2435,plain,
composition(X_425,join(one,X_426)) = join(X_425,composition(X_425,X_426)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_425,join(one,X_426)))),join(X_425,composition(X_425,X_426))) )],[refute_0_2431,refute_0_2434]) ).
cnf(refute_0_2436,plain,
( composition(X_425,join(one,X_426)) != join(X_425,composition(X_425,X_426))
| join(X_425,composition(X_425,X_426)) = composition(X_425,join(one,X_426)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X_425,join(one,X_426)))),bind(Y,$fot(join(X_425,composition(X_425,X_426))))]]) ).
cnf(refute_0_2437,plain,
join(X_425,composition(X_425,X_426)) = composition(X_425,join(one,X_426)),
inference(resolve,[$cnf( $equal(composition(X_425,join(one,X_426)),join(X_425,composition(X_425,X_426))) )],[refute_0_2435,refute_0_2436]) ).
cnf(refute_0_2438,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(X_426,$fot(top))]]) ).
cnf(refute_0_2439,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))),bind(Y,$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)))),bind(Z,$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))]]) ).
cnf(refute_0_2440,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top))) )],[refute_0_2438,refute_0_2439]) ).
cnf(refute_0_2441,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(one,top)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_2424,refute_0_2440]) ).
cnf(refute_0_2442,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))]]) ).
cnf(refute_0_2443,plain,
( complement(zero) != top
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2444,plain,
( complement(zero) != top
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_2444]) ).
cnf(refute_0_2446,plain,
converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2447,plain,
composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))]]) ).
cnf(refute_0_2448,plain,
( composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))
| converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) ),[1,0],$fot(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2449,plain,
( converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) )],[refute_0_2447,refute_0_2448]) ).
cnf(refute_0_2450,plain,
composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2446,refute_0_2449]) ).
cnf(refute_0_2451,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))
| composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))),bind(Y,$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))),bind(Z,$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))]]) ).
cnf(refute_0_2452,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) )],[refute_0_2450,refute_0_2451]) ).
cnf(refute_0_2453,plain,
composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_2445,refute_0_2452]) ).
cnf(refute_0_2454,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))))]]) ).
cnf(refute_0_2455,plain,
( composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))) ),[1,1],$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))]]) ).
cnf(refute_0_2456,plain,
( composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_2453,refute_0_2456]) ).
cnf(refute_0_2458,plain,
( join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))))),bind(Y,$fot(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))),bind(Z,$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))]]) ).
cnf(refute_0_2459,plain,
( join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_2441,refute_0_2459]) ).
cnf(refute_0_2461,plain,
( join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[0],$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))]]) ).
cnf(refute_0_2462,plain,
( join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2420,refute_0_2462]) ).
cnf(refute_0_2464,plain,
composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(top)),bind(X_146,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2465,plain,
composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X_145,$fot(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2466,plain,
top = join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2467,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2468,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != zero
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_2469,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),zero) )],[refute_0_2284,refute_0_2468]) ).
cnf(refute_0_2470,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2467,refute_0_2469]) ).
cnf(refute_0_2471,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))))]]) ).
cnf(refute_0_2472,plain,
( composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))) ),[1,1],$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))]]) ).
cnf(refute_0_2473,plain,
( composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)))) )],[refute_0_2471,refute_0_2472]) ).
cnf(refute_0_2474,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero)),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_2453,refute_0_2473]) ).
cnf(refute_0_2475,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))]]) ).
cnf(refute_0_2476,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))) )],[refute_0_2474,refute_0_2475]) ).
cnf(refute_0_2477,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(zero))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2470,refute_0_2476]) ).
cnf(refute_0_2478,plain,
join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2479,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(X_20,$fot(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2480,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2481,plain,
( join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2479,refute_0_2480]) ).
cnf(refute_0_2482,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2478,refute_0_2481]) ).
cnf(refute_0_2483,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))]]) ).
cnf(refute_0_2484,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))) ),[1,1],$fot(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2485,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2463,refute_0_2485]) ).
cnf(refute_0_2487,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)))),bind(Y,$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2488,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_2486,refute_0_2487]) ).
cnf(refute_0_2489,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) = complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2482,refute_0_2488]) ).
cnf(refute_0_2490,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[0],$fot(complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2491,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2489,refute_0_2490]) ).
cnf(refute_0_2492,plain,
complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2477,refute_0_2491]) ).
cnf(refute_0_2493,plain,
( complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| top != join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))
| top = join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2494,plain,
( top != join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))
| top = join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
top = join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(top,join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) )],[refute_0_2466,refute_0_2494]) ).
cnf(refute_0_2496,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(X_20,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2497,plain,
join(complement(X_28),meet(X_298,X_28)) = join(join(complement(X_28),meet(X_298,X_28)),meet(X_298,join(complement(X_28),meet(X_298,X_28)))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(X_298)),bind(X_270,$fot(join(complement(X_28),meet(X_298,X_28))))]]) ).
cnf(refute_0_2498,plain,
X_95 = join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(join(complement(X_95),join(complement(X_28),meet(X_95,X_28))))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_95)),bind(X1,$fot(join(complement(X_28),meet(X_95,X_28))))]]) ).
cnf(refute_0_2499,plain,
top = join(complement(X_95),join(complement(X_28),meet(X_95,X_28))),
inference(subst,[],[refute_0_172:[bind(X_27,$fot(X_95))]]) ).
cnf(refute_0_2500,plain,
( top != join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))
| join(complement(X_95),join(complement(X_28),meet(X_95,X_28))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))))]]) ).
cnf(refute_0_2501,plain,
join(complement(X_95),join(complement(X_28),meet(X_95,X_28))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))) )],[refute_0_2499,refute_0_2500]) ).
cnf(refute_0_2502,plain,
( X_95 != join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))))
| join(complement(X_95),join(complement(X_28),meet(X_95,X_28))) != top
| X_95 = join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2503,plain,
( X_95 != join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))))
| X_95 = join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_95),join(complement(X_28),meet(X_95,X_28))),top) )],[refute_0_2501,refute_0_2502]) ).
cnf(refute_0_2504,plain,
X_95 = join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(join(complement(X_95),join(complement(X_28),meet(X_95,X_28)))))) )],[refute_0_2498,refute_0_2503]) ).
cnf(refute_0_2505,plain,
join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) = join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))))]]) ).
cnf(refute_0_2506,plain,
( complement(top) != zero
| join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) != join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))),join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2507,plain,
( complement(top) != zero
| join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))),join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28))))) )],[refute_0_2505,refute_0_2506]) ).
cnf(refute_0_2508,plain,
join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2507]) ).
cnf(refute_0_2509,plain,
join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) = join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_95,join(complement(X_28),meet(X_95,X_28)))))]]) ).
cnf(refute_0_2510,plain,
( join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) != join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) != join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))))),bind(Z,$fot(join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))))]]) ).
cnf(refute_0_2511,plain,
( join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) != join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)),join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28))))) )],[refute_0_2509,refute_0_2510]) ).
cnf(refute_0_2512,plain,
join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_95,join(complement(X_28),meet(X_95,X_28)))),join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))) )],[refute_0_2508,refute_0_2511]) ).
cnf(refute_0_2513,plain,
( X_95 != join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top))
| join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)) != join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| X_95 = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))) ),[0],$fot(join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)))]]) ).
cnf(refute_0_2514,plain,
( X_95 != join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top))
| X_95 = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top)),join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))) )],[refute_0_2512,refute_0_2513]) ).
cnf(refute_0_2515,plain,
X_95 = join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,join(complement(X_28),meet(X_95,X_28))),complement(top))) )],[refute_0_2504,refute_0_2514]) ).
cnf(refute_0_2516,plain,
join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) = meet(X_95,join(complement(X_28),meet(X_95,X_28))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(X_95,join(complement(X_28),meet(X_95,X_28)))))]]) ).
cnf(refute_0_2517,plain,
( X_95 != join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) != meet(X_95,join(complement(X_28),meet(X_95,X_28)))
| X_95 = meet(X_95,join(complement(X_28),meet(X_95,X_28))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,meet(X_95,join(complement(X_28),meet(X_95,X_28)))) ),[0],$fot(join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))))]]) ).
cnf(refute_0_2518,plain,
( X_95 != join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))
| X_95 = meet(X_95,join(complement(X_28),meet(X_95,X_28))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28)))),meet(X_95,join(complement(X_28),meet(X_95,X_28)))) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
X_95 = meet(X_95,join(complement(X_28),meet(X_95,X_28))),
inference(resolve,[$cnf( $equal(X_95,join(zero,meet(X_95,join(complement(X_28),meet(X_95,X_28))))) )],[refute_0_2515,refute_0_2518]) ).
cnf(refute_0_2520,plain,
X_298 = meet(X_298,join(complement(X_28),meet(X_298,X_28))),
inference(subst,[],[refute_0_2519:[bind(X_95,$fot(X_298))]]) ).
cnf(refute_0_2521,plain,
( X_298 != meet(X_298,join(complement(X_28),meet(X_298,X_28)))
| meet(X_298,join(complement(X_28),meet(X_298,X_28))) = X_298 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_298)),bind(Y,$fot(meet(X_298,join(complement(X_28),meet(X_298,X_28)))))]]) ).
cnf(refute_0_2522,plain,
meet(X_298,join(complement(X_28),meet(X_298,X_28))) = X_298,
inference(resolve,[$cnf( $equal(X_298,meet(X_298,join(complement(X_28),meet(X_298,X_28)))) )],[refute_0_2520,refute_0_2521]) ).
cnf(refute_0_2523,plain,
( join(complement(X_28),meet(X_298,X_28)) != join(join(complement(X_28),meet(X_298,X_28)),meet(X_298,join(complement(X_28),meet(X_298,X_28))))
| meet(X_298,join(complement(X_28),meet(X_298,X_28))) != X_298
| join(complement(X_28),meet(X_298,X_28)) = join(join(complement(X_28),meet(X_298,X_28)),X_298) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_28),meet(X_298,X_28)),join(join(complement(X_28),meet(X_298,X_28)),meet(X_298,join(complement(X_28),meet(X_298,X_28))))) ),[1,1],$fot(X_298)]]) ).
cnf(refute_0_2524,plain,
( join(complement(X_28),meet(X_298,X_28)) != join(join(complement(X_28),meet(X_298,X_28)),meet(X_298,join(complement(X_28),meet(X_298,X_28))))
| join(complement(X_28),meet(X_298,X_28)) = join(join(complement(X_28),meet(X_298,X_28)),X_298) ),
inference(resolve,[$cnf( $equal(meet(X_298,join(complement(X_28),meet(X_298,X_28))),X_298) )],[refute_0_2522,refute_0_2523]) ).
cnf(refute_0_2525,plain,
join(complement(X_28),meet(X_298,X_28)) = join(join(complement(X_28),meet(X_298,X_28)),X_298),
inference(resolve,[$cnf( $equal(join(complement(X_28),meet(X_298,X_28)),join(join(complement(X_28),meet(X_298,X_28)),meet(X_298,join(complement(X_28),meet(X_298,X_28))))) )],[refute_0_2497,refute_0_2524]) ).
cnf(refute_0_2526,plain,
join(X_55,join(X_56,meet(X_55,X_276))) = join(X_56,join(X_55,meet(X_55,X_276))),
inference(subst,[],[refute_0_1696:[bind(X_57,$fot(meet(X_55,X_276)))]]) ).
cnf(refute_0_2527,plain,
join(meet(X_95,X1),meet(X_95,complement(X1))) = join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))),
inference(subst,[],[refute_0_1781:[bind(X_256,$fot(meet(X_95,X1))),bind(X_258,$fot(meet(X_95,complement(X1))))]]) ).
cnf(refute_0_2528,plain,
( X_95 != join(meet(X_95,X1),meet(X_95,complement(X1)))
| join(meet(X_95,X1),meet(X_95,complement(X1))) = X_95 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_95)),bind(Y,$fot(join(meet(X_95,X1),meet(X_95,complement(X1)))))]]) ).
cnf(refute_0_2529,plain,
join(meet(X_95,X1),meet(X_95,complement(X1))) = X_95,
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X1),meet(X_95,complement(X1)))) )],[refute_0_1984,refute_0_2528]) ).
cnf(refute_0_2530,plain,
( join(meet(X_95,X1),meet(X_95,complement(X1))) != X_95
| join(meet(X_95,X1),meet(X_95,complement(X1))) != join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))
| X_95 = join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,X1),meet(X_95,complement(X1))),join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))) ),[0],$fot(X_95)]]) ).
cnf(refute_0_2531,plain,
( join(meet(X_95,X1),meet(X_95,complement(X1))) != join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))
| X_95 = join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X1),meet(X_95,complement(X1))),X_95) )],[refute_0_2529,refute_0_2530]) ).
cnf(refute_0_2532,plain,
X_95 = join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))),
inference(resolve,[$cnf( $equal(join(meet(X_95,X1),meet(X_95,complement(X1))),join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))) )],[refute_0_2527,refute_0_2531]) ).
cnf(refute_0_2533,plain,
join(meet(X_95,complement(X1)),X_95) = join(X_95,meet(X_95,complement(X1))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(meet(X_95,complement(X1)))),bind(X_20,$fot(X_95))]]) ).
cnf(refute_0_2534,plain,
join(X_256,join(meet(X_95,X1),meet(X_95,complement(X1)))) = join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1)))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(X_256)),bind(X_56,$fot(meet(X_95,X1))),bind(X_57,$fot(meet(X_95,complement(X1))))]]) ).
cnf(refute_0_2535,plain,
( join(X_256,join(meet(X_95,X1),meet(X_95,complement(X1)))) != join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))
| join(meet(X_95,X1),meet(X_95,complement(X1))) != X_95
| join(X_256,X_95) = join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_256,join(meet(X_95,X1),meet(X_95,complement(X1)))),join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))) ),[0,1],$fot(X_95)]]) ).
cnf(refute_0_2536,plain,
( join(X_256,join(meet(X_95,X1),meet(X_95,complement(X1)))) != join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))
| join(X_256,X_95) = join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X1),meet(X_95,complement(X1))),X_95) )],[refute_0_2529,refute_0_2535]) ).
cnf(refute_0_2537,plain,
join(X_256,X_95) = join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1)))),
inference(resolve,[$cnf( $equal(join(X_256,join(meet(X_95,X1),meet(X_95,complement(X1)))),join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))) )],[refute_0_2534,refute_0_2536]) ).
cnf(refute_0_2538,plain,
( join(X_256,X_95) != join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))
| join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1)))) = join(X_256,X_95) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_256,X_95))),bind(Y,$fot(join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))))]]) ).
cnf(refute_0_2539,plain,
join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1)))) = join(X_256,X_95),
inference(resolve,[$cnf( $equal(join(X_256,X_95),join(meet(X_95,X1),join(X_256,meet(X_95,complement(X1))))) )],[refute_0_2537,refute_0_2538]) ).
cnf(refute_0_2540,plain,
join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) = join(meet(X_95,complement(X1)),X_95),
inference(subst,[],[refute_0_2539:[bind(X_256,$fot(meet(X_95,complement(X1))))]]) ).
cnf(refute_0_2541,plain,
( join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) != join(meet(X_95,complement(X1)),X_95)
| join(meet(X_95,complement(X1)),X_95) != join(X_95,meet(X_95,complement(X1)))
| join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) = join(X_95,meet(X_95,complement(X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))))),bind(Y,$fot(join(meet(X_95,complement(X1)),X_95))),bind(Z,$fot(join(X_95,meet(X_95,complement(X1)))))]]) ).
cnf(refute_0_2542,plain,
( join(meet(X_95,complement(X1)),X_95) != join(X_95,meet(X_95,complement(X1)))
| join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) = join(X_95,meet(X_95,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))),join(meet(X_95,complement(X1)),X_95)) )],[refute_0_2540,refute_0_2541]) ).
cnf(refute_0_2543,plain,
join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) = join(X_95,meet(X_95,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(X_95,complement(X1)),X_95),join(X_95,meet(X_95,complement(X1)))) )],[refute_0_2533,refute_0_2542]) ).
cnf(refute_0_2544,plain,
join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) = join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(meet(X_95,X1))),bind(X_257,$fot(meet(X_95,complement(X1)))),bind(X_258,$fot(meet(X_95,complement(X1))))]]) ).
cnf(refute_0_2545,plain,
( join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) != join(X_95,meet(X_95,complement(X1)))
| join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) != join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1))))
| join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) = join(X_95,meet(X_95,complement(X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))))),bind(Y,$fot(join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))))),bind(Z,$fot(join(X_95,meet(X_95,complement(X1)))))]]) ).
cnf(refute_0_2546,plain,
( join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))) != join(X_95,meet(X_95,complement(X1)))
| join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) = join(X_95,meet(X_95,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))),join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1))))) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) = join(X_95,meet(X_95,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(X_95,X1),join(meet(X_95,complement(X1)),meet(X_95,complement(X1)))),join(X_95,meet(X_95,complement(X1)))) )],[refute_0_2543,refute_0_2546]) ).
cnf(refute_0_2548,plain,
( X_95 != join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))
| join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))) != join(X_95,meet(X_95,complement(X1)))
| X_95 = join(X_95,meet(X_95,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,join(X_95,meet(X_95,complement(X1)))) ),[0],$fot(join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))))]]) ).
cnf(refute_0_2549,plain,
( X_95 != join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))
| X_95 = join(X_95,meet(X_95,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1)))),join(X_95,meet(X_95,complement(X1)))) )],[refute_0_2547,refute_0_2548]) ).
cnf(refute_0_2550,plain,
X_95 = join(X_95,meet(X_95,complement(X1))),
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,complement(X1)),join(meet(X_95,X1),meet(X_95,complement(X1))))) )],[refute_0_2532,refute_0_2549]) ).
cnf(refute_0_2551,plain,
X_275 = join(X_275,meet(X_275,complement(complement(X1)))),
inference(subst,[],[refute_0_2550:[bind(X1,$fot(complement(X1))),bind(X_95,$fot(X_275))]]) ).
cnf(refute_0_2552,plain,
( X_275 != join(X_275,meet(X_275,complement(complement(X1))))
| complement(complement(X1)) != X1
| X_275 = join(X_275,meet(X_275,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_275,join(X_275,meet(X_275,complement(complement(X1))))) ),[1,1,1],$fot(X1)]]) ).
cnf(refute_0_2553,plain,
( X_275 != join(X_275,meet(X_275,complement(complement(X1))))
| X_275 = join(X_275,meet(X_275,X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_2552]) ).
cnf(refute_0_2554,plain,
X_275 = join(X_275,meet(X_275,X1)),
inference(resolve,[$cnf( $equal(X_275,join(X_275,meet(X_275,complement(complement(X1))))) )],[refute_0_2551,refute_0_2553]) ).
cnf(refute_0_2555,plain,
X_55 = join(X_55,meet(X_55,X_276)),
inference(subst,[],[refute_0_2554:[bind(X1,$fot(X_276)),bind(X_275,$fot(X_55))]]) ).
cnf(refute_0_2556,plain,
( X_55 != join(X_55,meet(X_55,X_276))
| join(X_55,meet(X_55,X_276)) = X_55 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_55)),bind(Y,$fot(join(X_55,meet(X_55,X_276))))]]) ).
cnf(refute_0_2557,plain,
join(X_55,meet(X_55,X_276)) = X_55,
inference(resolve,[$cnf( $equal(X_55,join(X_55,meet(X_55,X_276))) )],[refute_0_2555,refute_0_2556]) ).
cnf(refute_0_2558,plain,
( join(X_55,join(X_56,meet(X_55,X_276))) != join(X_56,join(X_55,meet(X_55,X_276)))
| join(X_55,meet(X_55,X_276)) != X_55
| join(X_55,join(X_56,meet(X_55,X_276))) = join(X_56,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(X_56,meet(X_55,X_276))),join(X_56,join(X_55,meet(X_55,X_276)))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_2559,plain,
( join(X_55,join(X_56,meet(X_55,X_276))) != join(X_56,join(X_55,meet(X_55,X_276)))
| join(X_55,join(X_56,meet(X_55,X_276))) = join(X_56,X_55) ),
inference(resolve,[$cnf( $equal(join(X_55,meet(X_55,X_276)),X_55) )],[refute_0_2557,refute_0_2558]) ).
cnf(refute_0_2560,plain,
join(X_55,join(X_56,meet(X_55,X_276))) = join(X_56,X_55),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,meet(X_55,X_276))),join(X_56,join(X_55,meet(X_55,X_276)))) )],[refute_0_2526,refute_0_2559]) ).
cnf(refute_0_2561,plain,
join(X_298,join(complement(X_28),meet(X_298,X_28))) = join(complement(X_28),X_298),
inference(subst,[],[refute_0_2560:[bind(X_276,$fot(X_28)),bind(X_55,$fot(X_298)),bind(X_56,$fot(complement(X_28)))]]) ).
cnf(refute_0_2562,plain,
join(join(complement(X_28),meet(X_298,X_28)),X_298) = join(X_298,join(complement(X_28),meet(X_298,X_28))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(complement(X_28),meet(X_298,X_28)))),bind(X_20,$fot(X_298))]]) ).
cnf(refute_0_2563,plain,
( join(X_298,join(complement(X_28),meet(X_298,X_28))) != join(complement(X_28),X_298)
| join(join(complement(X_28),meet(X_298,X_28)),X_298) != join(X_298,join(complement(X_28),meet(X_298,X_28)))
| join(join(complement(X_28),meet(X_298,X_28)),X_298) = join(complement(X_28),X_298) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(X_28),meet(X_298,X_28)),X_298))),bind(Y,$fot(join(X_298,join(complement(X_28),meet(X_298,X_28))))),bind(Z,$fot(join(complement(X_28),X_298)))]]) ).
cnf(refute_0_2564,plain,
( join(X_298,join(complement(X_28),meet(X_298,X_28))) != join(complement(X_28),X_298)
| join(join(complement(X_28),meet(X_298,X_28)),X_298) = join(complement(X_28),X_298) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(X_298,X_28)),X_298),join(X_298,join(complement(X_28),meet(X_298,X_28)))) )],[refute_0_2562,refute_0_2563]) ).
cnf(refute_0_2565,plain,
join(join(complement(X_28),meet(X_298,X_28)),X_298) = join(complement(X_28),X_298),
inference(resolve,[$cnf( $equal(join(X_298,join(complement(X_28),meet(X_298,X_28))),join(complement(X_28),X_298)) )],[refute_0_2561,refute_0_2564]) ).
cnf(refute_0_2566,plain,
( join(complement(X_28),meet(X_298,X_28)) != join(join(complement(X_28),meet(X_298,X_28)),X_298)
| join(join(complement(X_28),meet(X_298,X_28)),X_298) != join(complement(X_28),X_298)
| join(complement(X_28),meet(X_298,X_28)) = join(complement(X_28),X_298) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_28),meet(X_298,X_28)),join(complement(X_28),X_298)) ),[0],$fot(join(join(complement(X_28),meet(X_298,X_28)),X_298))]]) ).
cnf(refute_0_2567,plain,
( join(complement(X_28),meet(X_298,X_28)) != join(join(complement(X_28),meet(X_298,X_28)),X_298)
| join(complement(X_28),meet(X_298,X_28)) = join(complement(X_28),X_298) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(X_298,X_28)),X_298),join(complement(X_28),X_298)) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
join(complement(X_28),meet(X_298,X_28)) = join(complement(X_28),X_298),
inference(resolve,[$cnf( $equal(join(complement(X_28),meet(X_298,X_28)),join(join(complement(X_28),meet(X_298,X_28)),X_298)) )],[refute_0_2525,refute_0_2567]) ).
cnf(refute_0_2569,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_2568:[bind(X_28,$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(X_298,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2570,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2571,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2569,refute_0_2570]) ).
cnf(refute_0_2572,plain,
join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2496,refute_0_2571]) ).
cnf(refute_0_2573,plain,
join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(X_20,$fot(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2574,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2575,plain,
( join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2573,refute_0_2574]) ).
cnf(refute_0_2576,plain,
join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2572,refute_0_2575]) ).
cnf(refute_0_2577,plain,
( join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| top != join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| top = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) ),[1],$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2578,plain,
( top != join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| top = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
top = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(top,join(meet(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2495,refute_0_2578]) ).
cnf(refute_0_2580,plain,
( top != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2581,plain,
join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2579,refute_0_2580]) ).
cnf(refute_0_2582,plain,
( composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != top
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2583,plain,
( composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),top) )],[refute_0_2581,refute_0_2582]) ).
cnf(refute_0_2584,plain,
composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2465,refute_0_2583]) ).
cnf(refute_0_2585,plain,
composition(top,composition(complement(composition(top,X_177)),X2)) = composition(composition(top,complement(composition(top,X_177))),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(top)),bind(X1,$fot(complement(composition(top,X_177))))]]) ).
cnf(refute_0_2586,plain,
composition(top,complement(composition(top,X_177))) = complement(composition(top,X_177)),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(X_177))]]) ).
cnf(refute_0_2587,plain,
( composition(top,complement(composition(top,X_177))) != complement(composition(top,X_177))
| composition(top,composition(complement(composition(top,X_177)),X2)) != composition(composition(top,complement(composition(top,X_177))),X2)
| composition(top,composition(complement(composition(top,X_177)),X2)) = composition(complement(composition(top,X_177)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,X_177)),X2)),composition(composition(top,complement(composition(top,X_177))),X2)) ),[1,0],$fot(complement(composition(top,X_177)))]]) ).
cnf(refute_0_2588,plain,
( composition(top,composition(complement(composition(top,X_177)),X2)) != composition(composition(top,complement(composition(top,X_177))),X2)
| composition(top,composition(complement(composition(top,X_177)),X2)) = composition(complement(composition(top,X_177)),X2) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_177))),complement(composition(top,X_177))) )],[refute_0_2586,refute_0_2587]) ).
cnf(refute_0_2589,plain,
composition(top,composition(complement(composition(top,X_177)),X2)) = composition(complement(composition(top,X_177)),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,X_177)),X2)),composition(composition(top,complement(composition(top,X_177))),X2)) )],[refute_0_2585,refute_0_2588]) ).
cnf(refute_0_2590,plain,
composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_2589:[bind(X2,$fot(top)),bind(X_177,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2591,plain,
complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2592,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)))]]) ).
cnf(refute_0_2593,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top))
| converse(top) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2594,plain,
( converse(top) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top))) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_2594]) ).
cnf(refute_0_2596,plain,
converse(composition(X_11,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) = composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2597,plain,
( converse(composition(X_11,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))) ),[0,0,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2598,plain,
( converse(composition(X_11,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_2597]) ).
cnf(refute_0_2599,plain,
converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))) )],[refute_0_2596,refute_0_2598]) ).
cnf(refute_0_2600,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X2,$fot(converse(X_11)))]]) ).
cnf(refute_0_2601,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11)))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))) ),[1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))))]]) ).
cnf(refute_0_2602,plain,
( converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11)))) )],[refute_0_2600,refute_0_2601]) ).
cnf(refute_0_2603,plain,
converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_11))) )],[refute_0_2599,refute_0_2602]) ).
cnf(refute_0_2604,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11)),
inference(subst,[],[refute_0_2333:[bind(X2,$fot(converse(X_11)))]]) ).
cnf(refute_0_2605,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11)))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11)))) ),[1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11)))]]) ).
cnf(refute_0_2606,plain,
( converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11)))
| converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11))) )],[refute_0_2604,refute_0_2605]) ).
cnf(refute_0_2607,plain,
converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(X_11)))) )],[refute_0_2603,refute_0_2606]) ).
cnf(refute_0_2608,plain,
converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)),
inference(subst,[],[refute_0_2607:[bind(X_11,$fot(top))]]) ).
cnf(refute_0_2609,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top))
| converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2610,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top))) )],[refute_0_2608,refute_0_2609]) ).
cnf(refute_0_2611,plain,
converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),converse(top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2595,refute_0_2610]) ).
cnf(refute_0_2612,plain,
complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2613,plain,
( complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2614,plain,
( converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2612,refute_0_2613]) ).
cnf(refute_0_2615,plain,
complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2611,refute_0_2614]) ).
cnf(refute_0_2616,plain,
converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2617,plain,
( complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2618,plain,
( complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2616,refute_0_2617]) ).
cnf(refute_0_2619,plain,
converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2615,refute_0_2618]) ).
cnf(refute_0_2620,plain,
composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2621,plain,
converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2622,plain,
( composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) != converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2623,plain,
( composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) )],[refute_0_2621,refute_0_2622]) ).
cnf(refute_0_2624,plain,
converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_2620,refute_0_2623]) ).
cnf(refute_0_2625,plain,
( converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) != converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2626,plain,
( converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_2624,refute_0_2625]) ).
cnf(refute_0_2627,plain,
converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2619,refute_0_2626]) ).
cnf(refute_0_2628,plain,
complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_2629,plain,
( complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))
| converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2630,plain,
( converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) )],[refute_0_2628,refute_0_2629]) ).
cnf(refute_0_2631,plain,
complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2627,refute_0_2630]) ).
cnf(refute_0_2632,plain,
( complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2633,plain,
( complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2631,refute_0_2632]) ).
cnf(refute_0_2634,plain,
complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2591,refute_0_2633]) ).
cnf(refute_0_2635,plain,
composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2636,plain,
( complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2637,plain,
( complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2635,refute_0_2636]) ).
cnf(refute_0_2638,plain,
composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2634,refute_0_2637]) ).
cnf(refute_0_2639,plain,
( composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2640,plain,
( composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2638,refute_0_2639]) ).
cnf(refute_0_2641,plain,
composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2590,refute_0_2640]) ).
cnf(refute_0_2642,plain,
( composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) ),[0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2643,plain,
( composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2641,refute_0_2642]) ).
cnf(refute_0_2644,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2645,plain,
( complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2646,plain,
( complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2644,refute_0_2645]) ).
cnf(refute_0_2647,plain,
composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2634,refute_0_2646]) ).
cnf(refute_0_2648,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2649,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2650,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2648,refute_0_2649]) ).
cnf(refute_0_2651,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2150,refute_0_2650]) ).
cnf(refute_0_2652,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2653,plain,
( composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2647,refute_0_2653]) ).
cnf(refute_0_2655,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_2656,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))) ),[1,1],$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2657,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))) )],[refute_0_2655,refute_0_2656]) ).
cnf(refute_0_2658,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2654,refute_0_2657]) ).
cnf(refute_0_2659,plain,
converse(composition(converse(composition(converse(X_13),X_14)),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)),
inference(subst,[],[refute_0_62:[bind(X0,$fot(composition(converse(X_13),X_14)))]]) ).
cnf(refute_0_2660,plain,
( converse(composition(converse(X_13),X_14)) != composition(converse(X_14),X_13)
| converse(composition(converse(composition(converse(X_13),X_14)),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_13),X_14)),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) ),[0,0,0],$fot(composition(converse(X_14),X_13))]]) ).
cnf(refute_0_2661,plain,
( converse(composition(converse(composition(converse(X_13),X_14)),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),X_14)),composition(converse(X_14),X_13)) )],[refute_0_2357,refute_0_2660]) ).
cnf(refute_0_2662,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(X_12),composition(converse(X_13),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_13),X_14)),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) )],[refute_0_2659,refute_0_2661]) ).
cnf(refute_0_2663,plain,
converse(composition(converse(X_14),composition(X_13,X_12))) = composition(converse(composition(X_13,X_12)),X_14),
inference(subst,[],[refute_0_62:[bind(X0,$fot(X_14)),bind(X_12,$fot(composition(X_13,X_12)))]]) ).
cnf(refute_0_2664,plain,
composition(composition(converse(X_14),X_13),X_12) = composition(converse(X_14),composition(X_13,X_12)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(converse(X_14))),bind(X1,$fot(X_13)),bind(X2,$fot(X_12))]]) ).
cnf(refute_0_2665,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(composition(converse(X_14),X_13),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_14),X_13),X_12)))]]) ).
cnf(refute_0_2666,plain,
( composition(composition(converse(X_14),X_13),X_12) != composition(converse(X_14),composition(X_13,X_12))
| converse(composition(composition(converse(X_14),X_13),X_12)) != converse(composition(composition(converse(X_14),X_13),X_12))
| converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(converse(X_14),composition(X_13,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),converse(composition(composition(converse(X_14),X_13),X_12))) ),[1,0],$fot(composition(converse(X_14),composition(X_13,X_12)))]]) ).
cnf(refute_0_2667,plain,
( composition(composition(converse(X_14),X_13),X_12) != composition(converse(X_14),composition(X_13,X_12))
| converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(converse(X_14),composition(X_13,X_12))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),converse(composition(composition(converse(X_14),X_13),X_12))) )],[refute_0_2665,refute_0_2666]) ).
cnf(refute_0_2668,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = converse(composition(converse(X_14),composition(X_13,X_12))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_14),X_13),X_12),composition(converse(X_14),composition(X_13,X_12))) )],[refute_0_2664,refute_0_2667]) ).
cnf(refute_0_2669,plain,
( converse(composition(composition(converse(X_14),X_13),X_12)) != converse(composition(converse(X_14),composition(X_13,X_12)))
| converse(composition(converse(X_14),composition(X_13,X_12))) != composition(converse(composition(X_13,X_12)),X_14)
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(composition(X_13,X_12)),X_14) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(composition(converse(X_14),X_13),X_12)))),bind(Y,$fot(converse(composition(converse(X_14),composition(X_13,X_12))))),bind(Z,$fot(composition(converse(composition(X_13,X_12)),X_14)))]]) ).
cnf(refute_0_2670,plain,
( converse(composition(converse(X_14),composition(X_13,X_12))) != composition(converse(composition(X_13,X_12)),X_14)
| converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(composition(X_13,X_12)),X_14) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),converse(composition(converse(X_14),composition(X_13,X_12)))) )],[refute_0_2668,refute_0_2669]) ).
cnf(refute_0_2671,plain,
converse(composition(composition(converse(X_14),X_13),X_12)) = composition(converse(composition(X_13,X_12)),X_14),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_14),composition(X_13,X_12))),composition(converse(composition(X_13,X_12)),X_14)) )],[refute_0_2663,refute_0_2670]) ).
cnf(refute_0_2672,plain,
( converse(composition(composition(converse(X_14),X_13),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| converse(composition(composition(converse(X_14),X_13),X_12)) != composition(converse(composition(X_13,X_12)),X_14)
| composition(converse(composition(X_13,X_12)),X_14) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) ),[0],$fot(composition(converse(composition(X_13,X_12)),X_14))]]) ).
cnf(refute_0_2673,plain,
( converse(composition(composition(converse(X_14),X_13),X_12)) != composition(converse(X_12),composition(converse(X_13),X_14))
| composition(converse(composition(X_13,X_12)),X_14) = composition(converse(X_12),composition(converse(X_13),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),composition(converse(composition(X_13,X_12)),X_14)) )],[refute_0_2671,refute_0_2672]) ).
cnf(refute_0_2674,plain,
composition(converse(composition(X_13,X_12)),X_14) = composition(converse(X_12),composition(converse(X_13),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_14),X_13),X_12)),composition(converse(X_12),composition(converse(X_13),X_14))) )],[refute_0_2662,refute_0_2673]) ).
cnf(refute_0_2675,plain,
composition(converse(composition(X_466,top)),X_467) = composition(converse(top),composition(converse(X_466),X_467)),
inference(subst,[],[refute_0_2674:[bind(X_12,$fot(top)),bind(X_13,$fot(X_466)),bind(X_14,$fot(X_467))]]) ).
cnf(refute_0_2676,plain,
( composition(converse(composition(X_466,top)),X_467) != composition(converse(top),composition(converse(X_466),X_467))
| converse(top) != top
| composition(converse(composition(X_466,top)),X_467) = composition(top,composition(converse(X_466),X_467)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_466,top)),X_467),composition(converse(top),composition(converse(X_466),X_467))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2677,plain,
( composition(converse(composition(X_466,top)),X_467) != composition(converse(top),composition(converse(X_466),X_467))
| composition(converse(composition(X_466,top)),X_467) = composition(top,composition(converse(X_466),X_467)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_2676]) ).
cnf(refute_0_2678,plain,
composition(converse(composition(X_466,top)),X_467) = composition(top,composition(converse(X_466),X_467)),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_466,top)),X_467),composition(converse(top),composition(converse(X_466),X_467))) )],[refute_0_2675,refute_0_2677]) ).
cnf(refute_0_2679,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_467,$fot(complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2680,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))))),bind(Z,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2681,plain,
( composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))) )],[refute_0_2679,refute_0_2680]) ).
cnf(refute_0_2682,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2658,refute_0_2681]) ).
cnf(refute_0_2683,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[0],$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2684,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2682,refute_0_2683]) ).
cnf(refute_0_2685,plain,
( composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2643,refute_0_2684]) ).
cnf(refute_0_2686,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))))),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) )],[refute_0_2584,refute_0_2685]) ).
cnf(refute_0_2687,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_2688,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2686,refute_0_2687]) ).
cnf(refute_0_2689,plain,
( composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2690,plain,
( composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2688,refute_0_2689]) ).
cnf(refute_0_2691,plain,
composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_2464,refute_0_2690]) ).
cnf(refute_0_2692,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2693,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2694,plain,
( composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2590,refute_0_2694]) ).
cnf(refute_0_2696,plain,
composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)),
inference(subst,[],[refute_0_2674:[bind(X_12,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X_13,$fot(top))]]) ).
cnf(refute_0_2697,plain,
( composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))) ),[0,0,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_2698,plain,
( composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2688,refute_0_2697]) ).
cnf(refute_0_2699,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))) )],[refute_0_2696,refute_0_2698]) ).
cnf(refute_0_2700,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) = composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14))]]) ).
cnf(refute_0_2701,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) != composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)
| converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14),composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) ),[1,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2702,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14),composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) )],[refute_0_2700,refute_0_2701]) ).
cnf(refute_0_2703,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2150,refute_0_2702]) ).
cnf(refute_0_2704,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)))]]) ).
cnf(refute_0_2705,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14))) ),[1,1],$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))]]) ).
cnf(refute_0_2706,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14))) )],[refute_0_2704,refute_0_2705]) ).
cnf(refute_0_2707,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) )],[refute_0_2703,refute_0_2706]) ).
cnf(refute_0_2708,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_467,$fot(X_14))]]) ).
cnf(refute_0_2709,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14))),bind(Y,$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)))),bind(Z,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))))]]) ).
cnf(refute_0_2710,plain,
( composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14))) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_14)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))) )],[refute_0_2707,refute_0_2710]) ).
cnf(refute_0_2712,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))) ),[0],$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)))]]) ).
cnf(refute_0_2713,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14))) )],[refute_0_2711,refute_0_2712]) ).
cnf(refute_0_2714,plain,
composition(top,complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2715,plain,
composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = join(composition(converse(complement(composition(X_146,top))),X_146),composition(X_145,X_146)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(converse(complement(composition(X_146,top))))),bind(X1,$fot(X_145)),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_2716,plain,
zero = composition(converse(complement(composition(X_146,top))),X_146),
inference(subst,[],[refute_0_1624:[bind(X_119,$fot(X_146))]]) ).
cnf(refute_0_2717,plain,
( zero != composition(converse(complement(composition(X_146,top))),X_146)
| composition(converse(complement(composition(X_146,top))),X_146) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_146,top))),X_146)))]]) ).
cnf(refute_0_2718,plain,
composition(converse(complement(composition(X_146,top))),X_146) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_146,top))),X_146)) )],[refute_0_2716,refute_0_2717]) ).
cnf(refute_0_2719,plain,
( composition(converse(complement(composition(X_146,top))),X_146) != zero
| composition(join(converse(complement(composition(X_146,top))),X_145),X_146) != join(composition(converse(complement(composition(X_146,top))),X_146),composition(X_145,X_146))
| composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = join(zero,composition(X_145,X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_146,top))),X_145),X_146),join(composition(converse(complement(composition(X_146,top))),X_146),composition(X_145,X_146))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2720,plain,
( composition(join(converse(complement(composition(X_146,top))),X_145),X_146) != join(composition(converse(complement(composition(X_146,top))),X_146),composition(X_145,X_146))
| composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = join(zero,composition(X_145,X_146)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_146,top))),X_146),zero) )],[refute_0_2718,refute_0_2719]) ).
cnf(refute_0_2721,plain,
composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = join(zero,composition(X_145,X_146)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_146,top))),X_145),X_146),join(composition(converse(complement(composition(X_146,top))),X_146),composition(X_145,X_146))) )],[refute_0_2715,refute_0_2720]) ).
cnf(refute_0_2722,plain,
join(zero,composition(X_145,X_146)) = composition(X_145,X_146),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(X_145,X_146)))]]) ).
cnf(refute_0_2723,plain,
( composition(join(converse(complement(composition(X_146,top))),X_145),X_146) != join(zero,composition(X_145,X_146))
| join(zero,composition(X_145,X_146)) != composition(X_145,X_146)
| composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = composition(X_145,X_146) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(complement(composition(X_146,top))),X_145),X_146),composition(X_145,X_146)) ),[0],$fot(join(zero,composition(X_145,X_146)))]]) ).
cnf(refute_0_2724,plain,
( composition(join(converse(complement(composition(X_146,top))),X_145),X_146) != join(zero,composition(X_145,X_146))
| composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = composition(X_145,X_146) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_145,X_146)),composition(X_145,X_146)) )],[refute_0_2722,refute_0_2723]) ).
cnf(refute_0_2725,plain,
composition(join(converse(complement(composition(X_146,top))),X_145),X_146) = composition(X_145,X_146),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_146,top))),X_145),X_146),join(zero,composition(X_145,X_146))) )],[refute_0_2721,refute_0_2724]) ).
cnf(refute_0_2726,plain,
composition(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),X_162) = composition(complement(converse(complement(composition(X_162,top)))),X_162),
inference(subst,[],[refute_0_2725:[bind(X_145,$fot(complement(converse(complement(composition(X_162,top)))))),bind(X_146,$fot(X_162))]]) ).
cnf(refute_0_2727,plain,
top = join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(complement(composition(X_162,top)))))]]) ).
cnf(refute_0_2728,plain,
( top != join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top)))))
| join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top)))))))]]) ).
cnf(refute_0_2729,plain,
join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top)))))) )],[refute_0_2727,refute_0_2728]) ).
cnf(refute_0_2730,plain,
( composition(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),X_162) != composition(complement(converse(complement(composition(X_162,top)))),X_162)
| join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))) != top
| composition(top,X_162) = composition(complement(converse(complement(composition(X_162,top)))),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),X_162),composition(complement(converse(complement(composition(X_162,top)))),X_162)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2731,plain,
( composition(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),X_162) != composition(complement(converse(complement(composition(X_162,top)))),X_162)
| composition(top,X_162) = composition(complement(converse(complement(composition(X_162,top)))),X_162) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),top) )],[refute_0_2729,refute_0_2730]) ).
cnf(refute_0_2732,plain,
composition(top,X_162) = composition(complement(converse(complement(composition(X_162,top)))),X_162),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_162,top))),complement(converse(complement(composition(X_162,top))))),X_162),composition(complement(converse(complement(composition(X_162,top)))),X_162)) )],[refute_0_2726,refute_0_2731]) ).
cnf(refute_0_2733,plain,
complement(complement(converse(composition(X_162,top)))) = converse(composition(X_162,top)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(X_162,top))))]]) ).
cnf(refute_0_2734,plain,
converse(complement(composition(X_162,top))) = complement(converse(composition(X_162,top))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(X_162,top)))]]) ).
cnf(refute_0_2735,plain,
complement(converse(complement(composition(X_162,top)))) = complement(converse(complement(composition(X_162,top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(X_162,top)))))]]) ).
cnf(refute_0_2736,plain,
( complement(converse(complement(composition(X_162,top)))) != complement(converse(complement(composition(X_162,top))))
| converse(complement(composition(X_162,top))) != complement(converse(composition(X_162,top)))
| complement(converse(complement(composition(X_162,top)))) = complement(complement(converse(composition(X_162,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(X_162,top)))),complement(converse(complement(composition(X_162,top))))) ),[1,0],$fot(complement(converse(composition(X_162,top))))]]) ).
cnf(refute_0_2737,plain,
( converse(complement(composition(X_162,top))) != complement(converse(composition(X_162,top)))
| complement(converse(complement(composition(X_162,top)))) = complement(complement(converse(composition(X_162,top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(X_162,top)))),complement(converse(complement(composition(X_162,top))))) )],[refute_0_2735,refute_0_2736]) ).
cnf(refute_0_2738,plain,
complement(converse(complement(composition(X_162,top)))) = complement(complement(converse(composition(X_162,top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(X_162,top))),complement(converse(composition(X_162,top)))) )],[refute_0_2734,refute_0_2737]) ).
cnf(refute_0_2739,plain,
( complement(complement(converse(composition(X_162,top)))) != converse(composition(X_162,top))
| complement(converse(complement(composition(X_162,top)))) != complement(complement(converse(composition(X_162,top))))
| complement(converse(complement(composition(X_162,top)))) = converse(composition(X_162,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(composition(X_162,top)))))),bind(Y,$fot(complement(complement(converse(composition(X_162,top)))))),bind(Z,$fot(converse(composition(X_162,top))))]]) ).
cnf(refute_0_2740,plain,
( complement(complement(converse(composition(X_162,top)))) != converse(composition(X_162,top))
| complement(converse(complement(composition(X_162,top)))) = converse(composition(X_162,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(X_162,top)))),complement(complement(converse(composition(X_162,top))))) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
complement(converse(complement(composition(X_162,top)))) = converse(composition(X_162,top)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(X_162,top)))),converse(composition(X_162,top))) )],[refute_0_2733,refute_0_2740]) ).
cnf(refute_0_2742,plain,
composition(complement(converse(complement(composition(X_162,top)))),X_162) = composition(complement(converse(complement(composition(X_162,top)))),X_162),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(composition(X_162,top)))),X_162))]]) ).
cnf(refute_0_2743,plain,
( complement(converse(complement(composition(X_162,top)))) != converse(composition(X_162,top))
| composition(complement(converse(complement(composition(X_162,top)))),X_162) != composition(complement(converse(complement(composition(X_162,top)))),X_162)
| composition(complement(converse(complement(composition(X_162,top)))),X_162) = composition(converse(composition(X_162,top)),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(composition(X_162,top)))),X_162),composition(complement(converse(complement(composition(X_162,top)))),X_162)) ),[1,0],$fot(converse(composition(X_162,top)))]]) ).
cnf(refute_0_2744,plain,
( complement(converse(complement(composition(X_162,top)))) != converse(composition(X_162,top))
| composition(complement(converse(complement(composition(X_162,top)))),X_162) = composition(converse(composition(X_162,top)),X_162) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(X_162,top)))),X_162),composition(complement(converse(complement(composition(X_162,top)))),X_162)) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
composition(complement(converse(complement(composition(X_162,top)))),X_162) = composition(converse(composition(X_162,top)),X_162),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(X_162,top)))),converse(composition(X_162,top))) )],[refute_0_2741,refute_0_2744]) ).
cnf(refute_0_2746,plain,
( composition(complement(converse(complement(composition(X_162,top)))),X_162) != composition(converse(composition(X_162,top)),X_162)
| composition(top,X_162) != composition(complement(converse(complement(composition(X_162,top)))),X_162)
| composition(top,X_162) = composition(converse(composition(X_162,top)),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_162),composition(complement(converse(complement(composition(X_162,top)))),X_162)) ),[1],$fot(composition(converse(composition(X_162,top)),X_162))]]) ).
cnf(refute_0_2747,plain,
( composition(top,X_162) != composition(complement(converse(complement(composition(X_162,top)))),X_162)
| composition(top,X_162) = composition(converse(composition(X_162,top)),X_162) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(X_162,top)))),X_162),composition(converse(composition(X_162,top)),X_162)) )],[refute_0_2745,refute_0_2746]) ).
cnf(refute_0_2748,plain,
composition(top,X_162) = composition(converse(composition(X_162,top)),X_162),
inference(resolve,[$cnf( $equal(composition(top,X_162),composition(complement(converse(complement(composition(X_162,top)))),X_162)) )],[refute_0_2732,refute_0_2747]) ).
cnf(refute_0_2749,plain,
composition(converse(composition(X_162,top)),X_162) = composition(top,composition(converse(X_162),X_162)),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(X_162)),bind(X_467,$fot(X_162))]]) ).
cnf(refute_0_2750,plain,
( composition(converse(composition(X_162,top)),X_162) != composition(top,composition(converse(X_162),X_162))
| composition(top,X_162) != composition(converse(composition(X_162,top)),X_162)
| composition(top,X_162) = composition(top,composition(converse(X_162),X_162)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,X_162),composition(converse(composition(X_162,top)),X_162)) ),[1],$fot(composition(top,composition(converse(X_162),X_162)))]]) ).
cnf(refute_0_2751,plain,
( composition(top,X_162) != composition(converse(composition(X_162,top)),X_162)
| composition(top,X_162) = composition(top,composition(converse(X_162),X_162)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_162,top)),X_162),composition(top,composition(converse(X_162),X_162))) )],[refute_0_2749,refute_0_2750]) ).
cnf(refute_0_2752,plain,
composition(top,X_162) = composition(top,composition(converse(X_162),X_162)),
inference(resolve,[$cnf( $equal(composition(top,X_162),composition(converse(composition(X_162,top)),X_162)) )],[refute_0_2748,refute_0_2751]) ).
cnf(refute_0_2753,plain,
( composition(top,X_162) != composition(top,composition(converse(X_162),X_162))
| composition(top,composition(converse(X_162),X_162)) = composition(top,X_162) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,X_162))),bind(Y,$fot(composition(top,composition(converse(X_162),X_162))))]]) ).
cnf(refute_0_2754,plain,
composition(top,composition(converse(X_162),X_162)) = composition(top,X_162),
inference(resolve,[$cnf( $equal(composition(top,X_162),composition(top,composition(converse(X_162),X_162))) )],[refute_0_2752,refute_0_2753]) ).
cnf(refute_0_2755,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) = composition(top,complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2754:[bind(X_162,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2756,plain,
( composition(top,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) != composition(top,complement(composition(top,skolemFOFtoCNF_X0)))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2757,plain,
( composition(top,complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2714,refute_0_2757]) ).
cnf(refute_0_2759,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_467,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2760,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2761,plain,
( composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2759,refute_0_2760]) ).
cnf(refute_0_2762,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2758,refute_0_2761]) ).
cnf(refute_0_2763,plain,
converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_12)) = composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_62:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2764,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_12)) != composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_12)),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[0,0,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2765,plain,
( converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_12)) != composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_2764]) ).
cnf(refute_0_2766,plain,
converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_12)),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_2763,refute_0_2765]) ).
cnf(refute_0_2767,plain,
composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
introduced(tautology,[refl,[$fot(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_2768,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2769,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_2767,refute_0_2768]) ).
cnf(refute_0_2770,plain,
composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2330,refute_0_2769]) ).
cnf(refute_0_2771,plain,
( composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[1],$fot(composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2772,plain,
( converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2770,refute_0_2771]) ).
cnf(refute_0_2773,plain,
converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_2766,refute_0_2772]) ).
cnf(refute_0_2774,plain,
converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2773:[bind(X_12,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2775,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2776,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2774,refute_0_2775]) ).
cnf(refute_0_2777,plain,
converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2762,refute_0_2776]) ).
cnf(refute_0_2778,plain,
composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)),
introduced(tautology,[refl,[$fot(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)))]]) ).
cnf(refute_0_2779,plain,
( composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))
| converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2780,plain,
( converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(top,skolemFOFtoCNF_X0))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))) )],[refute_0_2778,refute_0_2779]) ).
cnf(refute_0_2781,plain,
composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2777,refute_0_2780]) ).
cnf(refute_0_2782,plain,
composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(X_14)),bind(X_414,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2783,plain,
( composition(converse(composition(X_13,X_12)),X_14) != composition(converse(X_12),composition(converse(X_13),X_14))
| composition(converse(X_12),composition(converse(X_13),X_14)) = composition(converse(composition(X_13,X_12)),X_14) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(converse(composition(X_13,X_12)),X_14))),bind(Y,$fot(composition(converse(X_12),composition(converse(X_13),X_14))))]]) ).
cnf(refute_0_2784,plain,
composition(converse(X_12),composition(converse(X_13),X_14)) = composition(converse(composition(X_13,X_12)),X_14),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_13,X_12)),X_14),composition(converse(X_12),composition(converse(X_13),X_14))) )],[refute_0_2674,refute_0_2783]) ).
cnf(refute_0_2785,plain,
composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14),
inference(subst,[],[refute_0_2784:[bind(X_12,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X_13,$fot(top))]]) ).
cnf(refute_0_2786,plain,
( composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) != composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14)
| composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)))),bind(Y,$fot(composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14))),bind(Z,$fot(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))))]]) ).
cnf(refute_0_2787,plain,
( composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)),composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14)) )],[refute_0_2785,refute_0_2786]) ).
cnf(refute_0_2788,plain,
composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X_14),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))) )],[refute_0_2782,refute_0_2787]) ).
cnf(refute_0_2789,plain,
( composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)))),bind(Y,$fot(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14))))]]) ).
cnf(refute_0_2790,plain,
( composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14))
| composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14))) )],[refute_0_2788,refute_0_2789]) ).
cnf(refute_0_2791,plain,
composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,X_14)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14))) )],[refute_0_2781,refute_0_2790]) ).
cnf(refute_0_2792,plain,
( composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))) ),[1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)))]]) ).
cnf(refute_0_2793,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14))) )],[refute_0_2791,refute_0_2792]) ).
cnf(refute_0_2794,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14) != composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))) )],[refute_0_2713,refute_0_2793]) ).
cnf(refute_0_2795,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_14)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_14),composition(converse(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(converse(top),X_14))) )],[refute_0_2699,refute_0_2794]) ).
cnf(refute_0_2796,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_2795:[bind(X_14,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2797,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2798,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2796,refute_0_2797]) ).
cnf(refute_0_2799,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2695,refute_0_2798]) ).
cnf(refute_0_2800,plain,
composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2801,plain,
( composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(one,top) != top
| composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2802,plain,
( join(one,top) != top
| composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2800,refute_0_2801]) ).
cnf(refute_0_2803,plain,
composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_2802]) ).
cnf(refute_0_2804,plain,
( composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2805,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2803,refute_0_2804]) ).
cnf(refute_0_2806,plain,
composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2799,refute_0_2805]) ).
cnf(refute_0_2807,plain,
converse(composition(converse(X1),join(one,converse(X0)))) = converse(join(converse(X1),composition(converse(X1),converse(X0)))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_2808,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| converse(composition(converse(X1),join(one,converse(X0)))) != converse(join(converse(X1),composition(converse(X1),converse(X0))))
| converse(composition(converse(X1),join(one,converse(X0)))) = converse(join(converse(X1),converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X1),join(one,converse(X0)))),converse(join(converse(X1),composition(converse(X1),converse(X0))))) ),[1,0,1],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_2809,plain,
( converse(composition(converse(X1),join(one,converse(X0)))) != converse(join(converse(X1),composition(converse(X1),converse(X0))))
| converse(composition(converse(X1),join(one,converse(X0)))) = converse(join(converse(X1),converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_1616,refute_0_2808]) ).
cnf(refute_0_2810,plain,
converse(composition(converse(X1),join(one,converse(X0)))) = converse(join(converse(X1),converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X1),join(one,converse(X0)))),converse(join(converse(X1),composition(converse(X1),converse(X0))))) )],[refute_0_2807,refute_0_2809]) ).
cnf(refute_0_2811,plain,
join(converse(one),X0) = join(converse(one),X0),
introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).
cnf(refute_0_2812,plain,
( converse(one) != one
| join(converse(one),X0) != join(converse(one),X0)
| join(converse(one),X0) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2813,plain,
( converse(one) != one
| join(converse(one),X0) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) )],[refute_0_2811,refute_0_2812]) ).
cnf(refute_0_2814,plain,
join(converse(one),X0) = join(one,X0),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_2813]) ).
cnf(refute_0_2815,plain,
converse(join(one,converse(X0))) = join(converse(one),X0),
inference(subst,[],[refute_0_400:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_2816,plain,
( converse(join(one,converse(X0))) != join(converse(one),X0)
| join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(X0))))),bind(Y,$fot(join(converse(one),X0))),bind(Z,$fot(join(one,X0)))]]) ).
cnf(refute_0_2817,plain,
( join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_2815,refute_0_2816]) ).
cnf(refute_0_2818,plain,
converse(join(one,converse(X0))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_2814,refute_0_2817]) ).
cnf(refute_0_2819,plain,
composition(converse(join(one,converse(X0))),X1) = composition(converse(join(one,converse(X0))),X1),
introduced(tautology,[refl,[$fot(composition(converse(join(one,converse(X0))),X1))]]) ).
cnf(refute_0_2820,plain,
( composition(converse(join(one,converse(X0))),X1) != composition(converse(join(one,converse(X0))),X1)
| converse(join(one,converse(X0))) != join(one,X0)
| composition(converse(join(one,converse(X0))),X1) = composition(join(one,X0),X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,converse(X0))),X1),composition(converse(join(one,converse(X0))),X1)) ),[1,0],$fot(join(one,X0))]]) ).
cnf(refute_0_2821,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| composition(converse(join(one,converse(X0))),X1) = composition(join(one,X0),X1) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,converse(X0))),X1),composition(converse(join(one,converse(X0))),X1)) )],[refute_0_2819,refute_0_2820]) ).
cnf(refute_0_2822,plain,
composition(converse(join(one,converse(X0))),X1) = composition(join(one,X0),X1),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_2818,refute_0_2821]) ).
cnf(refute_0_2823,plain,
converse(composition(converse(X1),join(one,converse(X0)))) = composition(converse(join(one,converse(X0))),X1),
inference(subst,[],[refute_0_62:[bind(X0,$fot(X1)),bind(X_12,$fot(join(one,converse(X0))))]]) ).
cnf(refute_0_2824,plain,
( composition(converse(join(one,converse(X0))),X1) != composition(join(one,X0),X1)
| converse(composition(converse(X1),join(one,converse(X0)))) != composition(converse(join(one,converse(X0))),X1)
| converse(composition(converse(X1),join(one,converse(X0)))) = composition(join(one,X0),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(converse(X1),join(one,converse(X0)))))),bind(Y,$fot(composition(converse(join(one,converse(X0))),X1))),bind(Z,$fot(composition(join(one,X0),X1)))]]) ).
cnf(refute_0_2825,plain,
( composition(converse(join(one,converse(X0))),X1) != composition(join(one,X0),X1)
| converse(composition(converse(X1),join(one,converse(X0)))) = composition(join(one,X0),X1) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X1),join(one,converse(X0)))),composition(converse(join(one,converse(X0))),X1)) )],[refute_0_2823,refute_0_2824]) ).
cnf(refute_0_2826,plain,
converse(composition(converse(X1),join(one,converse(X0)))) = composition(join(one,X0),X1),
inference(resolve,[$cnf( $equal(composition(converse(join(one,converse(X0))),X1),composition(join(one,X0),X1)) )],[refute_0_2822,refute_0_2825]) ).
cnf(refute_0_2827,plain,
( converse(composition(converse(X1),join(one,converse(X0)))) != composition(join(one,X0),X1)
| converse(composition(converse(X1),join(one,converse(X0)))) != converse(join(converse(X1),converse(composition(X0,X1))))
| composition(join(one,X0),X1) = converse(join(converse(X1),converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X1),join(one,converse(X0)))),converse(join(converse(X1),converse(composition(X0,X1))))) ),[0],$fot(composition(join(one,X0),X1))]]) ).
cnf(refute_0_2828,plain,
( converse(composition(converse(X1),join(one,converse(X0)))) != converse(join(converse(X1),converse(composition(X0,X1))))
| composition(join(one,X0),X1) = converse(join(converse(X1),converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X1),join(one,converse(X0)))),composition(join(one,X0),X1)) )],[refute_0_2826,refute_0_2827]) ).
cnf(refute_0_2829,plain,
join(X1,composition(X0,X1)) = composition(join(X0,one),X1),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(X0)),bind(X_146,$fot(X1))]]) ).
cnf(refute_0_2830,plain,
converse(converse(composition(X0,X1))) = composition(X0,X1),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2831,plain,
join(X1,converse(converse(composition(X0,X1)))) = join(X1,converse(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(join(X1,converse(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_2832,plain,
( converse(converse(composition(X0,X1))) != composition(X0,X1)
| join(X1,converse(converse(composition(X0,X1)))) != join(X1,converse(converse(composition(X0,X1))))
| join(X1,converse(converse(composition(X0,X1)))) = join(X1,composition(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,converse(converse(composition(X0,X1)))),join(X1,converse(converse(composition(X0,X1))))) ),[1,1],$fot(composition(X0,X1))]]) ).
cnf(refute_0_2833,plain,
( converse(converse(composition(X0,X1))) != composition(X0,X1)
| join(X1,converse(converse(composition(X0,X1)))) = join(X1,composition(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,converse(converse(composition(X0,X1)))),join(X1,converse(converse(composition(X0,X1))))) )],[refute_0_2831,refute_0_2832]) ).
cnf(refute_0_2834,plain,
join(X1,converse(converse(composition(X0,X1)))) = join(X1,composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X0,X1))),composition(X0,X1)) )],[refute_0_2830,refute_0_2833]) ).
cnf(refute_0_2835,plain,
( join(X1,composition(X0,X1)) != composition(join(X0,one),X1)
| join(X1,converse(converse(composition(X0,X1)))) != join(X1,composition(X0,X1))
| join(X1,converse(converse(composition(X0,X1)))) = composition(join(X0,one),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,converse(converse(composition(X0,X1)))))),bind(Y,$fot(join(X1,composition(X0,X1)))),bind(Z,$fot(composition(join(X0,one),X1)))]]) ).
cnf(refute_0_2836,plain,
( join(X1,composition(X0,X1)) != composition(join(X0,one),X1)
| join(X1,converse(converse(composition(X0,X1)))) = composition(join(X0,one),X1) ),
inference(resolve,[$cnf( $equal(join(X1,converse(converse(composition(X0,X1)))),join(X1,composition(X0,X1))) )],[refute_0_2834,refute_0_2835]) ).
cnf(refute_0_2837,plain,
join(X1,converse(converse(composition(X0,X1)))) = composition(join(X0,one),X1),
inference(resolve,[$cnf( $equal(join(X1,composition(X0,X1)),composition(join(X0,one),X1)) )],[refute_0_2829,refute_0_2836]) ).
cnf(refute_0_2838,plain,
converse(join(converse(X1),converse(composition(X0,X1)))) = join(X1,converse(converse(composition(X0,X1)))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(X1)),bind(X_5,$fot(converse(composition(X0,X1))))]]) ).
cnf(refute_0_2839,plain,
( converse(join(converse(X1),converse(composition(X0,X1)))) != join(X1,converse(converse(composition(X0,X1))))
| join(X1,converse(converse(composition(X0,X1)))) != composition(join(X0,one),X1)
| converse(join(converse(X1),converse(composition(X0,X1)))) = composition(join(X0,one),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X1),converse(composition(X0,X1)))))),bind(Y,$fot(join(X1,converse(converse(composition(X0,X1)))))),bind(Z,$fot(composition(join(X0,one),X1)))]]) ).
cnf(refute_0_2840,plain,
( join(X1,converse(converse(composition(X0,X1)))) != composition(join(X0,one),X1)
| converse(join(converse(X1),converse(composition(X0,X1)))) = composition(join(X0,one),X1) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X1),converse(composition(X0,X1)))),join(X1,converse(converse(composition(X0,X1))))) )],[refute_0_2838,refute_0_2839]) ).
cnf(refute_0_2841,plain,
converse(join(converse(X1),converse(composition(X0,X1)))) = composition(join(X0,one),X1),
inference(resolve,[$cnf( $equal(join(X1,converse(converse(composition(X0,X1)))),composition(join(X0,one),X1)) )],[refute_0_2837,refute_0_2840]) ).
cnf(refute_0_2842,plain,
( composition(join(one,X0),X1) != converse(join(converse(X1),converse(composition(X0,X1))))
| converse(join(converse(X1),converse(composition(X0,X1)))) != composition(join(X0,one),X1)
| composition(join(one,X0),X1) = composition(join(X0,one),X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X0),X1),composition(join(X0,one),X1)) ),[0],$fot(converse(join(converse(X1),converse(composition(X0,X1)))))]]) ).
cnf(refute_0_2843,plain,
( composition(join(one,X0),X1) != converse(join(converse(X1),converse(composition(X0,X1))))
| composition(join(one,X0),X1) = composition(join(X0,one),X1) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X1),converse(composition(X0,X1)))),composition(join(X0,one),X1)) )],[refute_0_2841,refute_0_2842]) ).
cnf(refute_0_2844,plain,
( converse(composition(converse(X1),join(one,converse(X0)))) != converse(join(converse(X1),converse(composition(X0,X1))))
| composition(join(one,X0),X1) = composition(join(X0,one),X1) ),
inference(resolve,[$cnf( $equal(composition(join(one,X0),X1),converse(join(converse(X1),converse(composition(X0,X1))))) )],[refute_0_2828,refute_0_2843]) ).
cnf(refute_0_2845,plain,
composition(join(one,X0),X1) = composition(join(X0,one),X1),
inference(resolve,[$cnf( $equal(converse(composition(converse(X1),join(one,converse(X0)))),converse(join(converse(X1),converse(composition(X0,X1))))) )],[refute_0_2810,refute_0_2844]) ).
cnf(refute_0_2846,plain,
( composition(join(one,X0),X1) != composition(join(X0,one),X1)
| composition(join(X0,one),X1) = composition(join(one,X0),X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X0),X1))),bind(Y,$fot(composition(join(X0,one),X1)))]]) ).
cnf(refute_0_2847,plain,
composition(join(X0,one),X1) = composition(join(one,X0),X1),
inference(resolve,[$cnf( $equal(composition(join(one,X0),X1),composition(join(X0,one),X1)) )],[refute_0_2845,refute_0_2846]) ).
cnf(refute_0_2848,plain,
composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(top)),bind(X1,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2849,plain,
( composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_2850,plain,
( composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2848,refute_0_2849]) ).
cnf(refute_0_2851,plain,
composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(join(one,top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2806,refute_0_2850]) ).
cnf(refute_0_2852,plain,
( composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_2853,plain,
( composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2851,refute_0_2852]) ).
cnf(refute_0_2854,plain,
converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(one,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_2855,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_2856,plain,
join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)))) = complement(top),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_2857,plain,
composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_397,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2858,plain,
composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1972:[bind(X_144,$fot(skolemFOFtoCNF_X0)),bind(X_145,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2859,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_312:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2860,plain,
one = join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1984:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_95,$fot(one))]]) ).
cnf(refute_0_2861,plain,
meet(one,converse(skolemFOFtoCNF_X0)) = complement(complement(meet(one,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2862,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(one))),bind(X_270,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2863,plain,
complement(one) = join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2864,plain,
converse(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2865,plain,
join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2866,plain,
top = join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_959:[bind(X_50,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2867,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2868,plain,
join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2866,refute_0_2867]) ).
cnf(refute_0_2869,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) != top
| join(one,top) = join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))),join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2870,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,top) = join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_2868,refute_0_2869]) ).
cnf(refute_0_2871,plain,
join(one,top) = join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))),join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2865,refute_0_2870]) ).
cnf(refute_0_2872,plain,
( join(one,top) != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,top) != top
| top = join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2873,plain,
( join(one,top) != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| top = join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_2872]) ).
cnf(refute_0_2874,plain,
join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(zero,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2875,plain,
( join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| top != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| top = converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2876,plain,
( top != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| top = converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0))))),converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2874,refute_0_2875]) ).
cnf(refute_0_2877,plain,
( join(one,top) != join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| top = converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2873,refute_0_2876]) ).
cnf(refute_0_2878,plain,
top = converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,converse(join(zero,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2871,refute_0_2877]) ).
cnf(refute_0_2879,plain,
( top != converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2880,plain,
converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2878,refute_0_2879]) ).
cnf(refute_0_2881,plain,
( converse(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) != top
| converse(top) = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))),join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2882,plain,
( converse(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| converse(top) = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_2880,refute_0_2881]) ).
cnf(refute_0_2883,plain,
converse(top) = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))))),join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2864,refute_0_2882]) ).
cnf(refute_0_2884,plain,
( converse(top) != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| converse(top) != top
| top = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2885,plain,
( converse(top) != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| top = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_2884]) ).
cnf(refute_0_2886,plain,
top = join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2883,refute_0_2885]) ).
cnf(refute_0_2887,plain,
join(one,join(zero,X2)) = join(join(one,zero),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_2888,plain,
join(zero,join(meet(one,complement(composition(top,zero))),zero)) = join(zero,meet(one,complement(composition(top,zero)))),
inference(subst,[],[refute_0_753:[bind(X_62,$fot(meet(one,complement(composition(top,zero)))))]]) ).
cnf(refute_0_2889,plain,
one = join(meet(one,complement(composition(top,zero))),complement(join(complement(one),complement(composition(top,zero))))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(one)),bind(X1,$fot(complement(composition(top,zero))))]]) ).
cnf(refute_0_2890,plain,
join(complement(one),join(composition(top,zero),X_57)) = join(join(complement(one),composition(top,zero)),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(composition(top,zero))),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_2891,plain,
join(complement(one),composition(converse(X_23),complement(composition(X_23,one)))) = complement(one),
inference(subst,[],[refute_0_55:[bind(X0,$fot(X_23)),bind(X1,$fot(one))]]) ).
cnf(refute_0_2892,plain,
composition(X_23,one) = X_23,
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_23))]]) ).
cnf(refute_0_2893,plain,
( composition(X_23,one) != X_23
| join(complement(one),composition(converse(X_23),complement(composition(X_23,one)))) != complement(one)
| join(complement(one),composition(converse(X_23),complement(X_23))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_23),complement(composition(X_23,one)))),complement(one)) ),[0,1,1,0],$fot(X_23)]]) ).
cnf(refute_0_2894,plain,
( join(complement(one),composition(converse(X_23),complement(composition(X_23,one)))) != complement(one)
| join(complement(one),composition(converse(X_23),complement(X_23))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_23,one),X_23) )],[refute_0_2892,refute_0_2893]) ).
cnf(refute_0_2895,plain,
join(complement(one),composition(converse(X_23),complement(X_23))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_23),complement(composition(X_23,one)))),complement(one)) )],[refute_0_2891,refute_0_2894]) ).
cnf(refute_0_2896,plain,
join(complement(one),composition(converse(top),complement(top))) = complement(one),
inference(subst,[],[refute_0_2895:[bind(X_23,$fot(top))]]) ).
cnf(refute_0_2897,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_2898,plain,
( join(complement(one),composition(converse(top),complement(top))) != complement(one)
| join(complement(one),composition(converse(top),zero)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2897]) ).
cnf(refute_0_2899,plain,
join(complement(one),composition(converse(top),zero)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),complement(top))),complement(one)) )],[refute_0_2896,refute_0_2898]) ).
cnf(refute_0_2900,plain,
composition(converse(top),zero) = composition(converse(top),zero),
introduced(tautology,[refl,[$fot(composition(converse(top),zero))]]) ).
cnf(refute_0_2901,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_2902,plain,
( converse(top) != top
| composition(converse(top),zero) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(converse(top),zero),composition(converse(top),zero)) )],[refute_0_2900,refute_0_2901]) ).
cnf(refute_0_2903,plain,
composition(converse(top),zero) = composition(top,zero),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_2902]) ).
cnf(refute_0_2904,plain,
join(complement(one),composition(converse(top),zero)) = join(complement(one),composition(converse(top),zero)),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(top),zero)))]]) ).
cnf(refute_0_2905,plain,
( composition(converse(top),zero) != composition(top,zero)
| join(complement(one),composition(converse(top),zero)) != join(complement(one),composition(converse(top),zero))
| join(complement(one),composition(converse(top),zero)) = join(complement(one),composition(top,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),join(complement(one),composition(converse(top),zero))) ),[1,1],$fot(composition(top,zero))]]) ).
cnf(refute_0_2906,plain,
( composition(converse(top),zero) != composition(top,zero)
| join(complement(one),composition(converse(top),zero)) = join(complement(one),composition(top,zero)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),join(complement(one),composition(converse(top),zero))) )],[refute_0_2904,refute_0_2905]) ).
cnf(refute_0_2907,plain,
join(complement(one),composition(converse(top),zero)) = join(complement(one),composition(top,zero)),
inference(resolve,[$cnf( $equal(composition(converse(top),zero),composition(top,zero)) )],[refute_0_2903,refute_0_2906]) ).
cnf(refute_0_2908,plain,
( join(complement(one),composition(converse(top),zero)) != complement(one)
| join(complement(one),composition(converse(top),zero)) != join(complement(one),composition(top,zero))
| join(complement(one),composition(top,zero)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),complement(one)) ),[0],$fot(join(complement(one),composition(top,zero)))]]) ).
cnf(refute_0_2909,plain,
( join(complement(one),composition(converse(top),zero)) != complement(one)
| join(complement(one),composition(top,zero)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),join(complement(one),composition(top,zero))) )],[refute_0_2907,refute_0_2908]) ).
cnf(refute_0_2910,plain,
join(complement(one),composition(top,zero)) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(top),zero)),complement(one)) )],[refute_0_2899,refute_0_2909]) ).
cnf(refute_0_2911,plain,
( join(complement(one),composition(top,zero)) != complement(one)
| join(complement(one),join(composition(top,zero),X_57)) != join(join(complement(one),composition(top,zero)),X_57)
| join(complement(one),join(composition(top,zero),X_57)) = join(complement(one),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,zero),X_57)),join(join(complement(one),composition(top,zero)),X_57)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_2912,plain,
( join(complement(one),join(composition(top,zero),X_57)) != join(join(complement(one),composition(top,zero)),X_57)
| join(complement(one),join(composition(top,zero),X_57)) = join(complement(one),X_57) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,zero)),complement(one)) )],[refute_0_2910,refute_0_2911]) ).
cnf(refute_0_2913,plain,
join(complement(one),join(composition(top,zero),X_57)) = join(complement(one),X_57),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),X_57)),join(join(complement(one),composition(top,zero)),X_57)) )],[refute_0_2890,refute_0_2912]) ).
cnf(refute_0_2914,plain,
join(complement(one),join(composition(top,zero),complement(composition(top,zero)))) = join(complement(one),complement(composition(top,zero))),
inference(subst,[],[refute_0_2913:[bind(X_57,$fot(complement(composition(top,zero))))]]) ).
cnf(refute_0_2915,plain,
top = join(composition(top,zero),complement(composition(top,zero))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(composition(top,zero)))]]) ).
cnf(refute_0_2916,plain,
( top != join(composition(top,zero),complement(composition(top,zero)))
| join(composition(top,zero),complement(composition(top,zero))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(composition(top,zero),complement(composition(top,zero)))))]]) ).
cnf(refute_0_2917,plain,
join(composition(top,zero),complement(composition(top,zero))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(top,zero),complement(composition(top,zero)))) )],[refute_0_2915,refute_0_2916]) ).
cnf(refute_0_2918,plain,
( join(complement(one),join(composition(top,zero),complement(composition(top,zero)))) != join(complement(one),complement(composition(top,zero)))
| join(composition(top,zero),complement(composition(top,zero))) != top
| join(complement(one),top) = join(complement(one),complement(composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,zero),complement(composition(top,zero)))),join(complement(one),complement(composition(top,zero)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2919,plain,
( join(complement(one),join(composition(top,zero),complement(composition(top,zero)))) != join(complement(one),complement(composition(top,zero)))
| join(complement(one),top) = join(complement(one),complement(composition(top,zero))) ),
inference(resolve,[$cnf( $equal(join(composition(top,zero),complement(composition(top,zero))),top) )],[refute_0_2917,refute_0_2918]) ).
cnf(refute_0_2920,plain,
join(complement(one),top) = join(complement(one),complement(composition(top,zero))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),complement(composition(top,zero)))),join(complement(one),complement(composition(top,zero)))) )],[refute_0_2914,refute_0_2919]) ).
cnf(refute_0_2921,plain,
join(top,complement(one)) = top,
inference(subst,[],[refute_0_196:[bind(X_35,$fot(one))]]) ).
cnf(refute_0_2922,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_2923,plain,
converse(top) = join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(converse(join(one,join(zero,join(zero,complement(one))))))),bind(X_20,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2924,plain,
converse(top) = join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(converse(join(one,join(zero,complement(one)))))),bind(X_20,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2925,plain,
join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_2926,plain,
converse(top) = join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one))))))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))),bind(X_20,$fot(one))]]) ).
cnf(refute_0_2927,plain,
( converse(top) != join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))))))
| join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))) != converse(top)
| converse(top) = join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).
cnf(refute_0_2928,plain,
( converse(top) != join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))))))
| converse(top) = join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))),converse(top)) )],[refute_0_383,refute_0_2927]) ).
cnf(refute_0_2929,plain,
converse(top) = join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(one)))))))))) )],[refute_0_2926,refute_0_2928]) ).
cnf(refute_0_2930,plain,
join(complement(one),zero) = join(zero,complement(one)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(zero)),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_2931,plain,
join(complement(one),complement(converse(converse(top)))) = join(complement(one),complement(converse(converse(top)))),
introduced(tautology,[refl,[$fot(join(complement(one),complement(converse(converse(top)))))]]) ).
cnf(refute_0_2932,plain,
( complement(converse(converse(top))) != zero
| join(complement(one),complement(converse(converse(top)))) != join(complement(one),complement(converse(converse(top))))
| join(complement(one),complement(converse(converse(top)))) = join(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(converse(converse(top)))),join(complement(one),complement(converse(converse(top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2933,plain,
( complement(converse(converse(top))) != zero
| join(complement(one),complement(converse(converse(top)))) = join(complement(one),zero) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(converse(top)))),join(complement(one),complement(converse(converse(top))))) )],[refute_0_2931,refute_0_2932]) ).
cnf(refute_0_2934,plain,
join(complement(one),complement(converse(converse(top)))) = join(complement(one),zero),
inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_930,refute_0_2933]) ).
cnf(refute_0_2935,plain,
( join(complement(one),complement(converse(converse(top)))) != join(complement(one),zero)
| join(complement(one),zero) != join(zero,complement(one))
| join(complement(one),complement(converse(converse(top)))) = join(zero,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),complement(converse(converse(top)))))),bind(Y,$fot(join(complement(one),zero))),bind(Z,$fot(join(zero,complement(one))))]]) ).
cnf(refute_0_2936,plain,
( join(complement(one),zero) != join(zero,complement(one))
| join(complement(one),complement(converse(converse(top)))) = join(zero,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(converse(top)))),join(complement(one),zero)) )],[refute_0_2934,refute_0_2935]) ).
cnf(refute_0_2937,plain,
join(complement(one),complement(converse(converse(top)))) = join(zero,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),zero),join(zero,complement(one))) )],[refute_0_2930,refute_0_2936]) ).
cnf(refute_0_2938,plain,
converse(join(complement(one),complement(converse(converse(top))))) = converse(join(complement(one),complement(converse(converse(top))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(converse(converse(top))))))]]) ).
cnf(refute_0_2939,plain,
( converse(join(complement(one),complement(converse(converse(top))))) != converse(join(complement(one),complement(converse(converse(top)))))
| join(complement(one),complement(converse(converse(top)))) != join(zero,complement(one))
| converse(join(complement(one),complement(converse(converse(top))))) = converse(join(zero,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(converse(converse(top))))),converse(join(complement(one),complement(converse(converse(top)))))) ),[1,0],$fot(join(zero,complement(one)))]]) ).
cnf(refute_0_2940,plain,
( join(complement(one),complement(converse(converse(top)))) != join(zero,complement(one))
| converse(join(complement(one),complement(converse(converse(top))))) = converse(join(zero,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(converse(top))))),converse(join(complement(one),complement(converse(converse(top)))))) )],[refute_0_2938,refute_0_2939]) ).
cnf(refute_0_2941,plain,
converse(join(complement(one),complement(converse(converse(top))))) = converse(join(zero,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(converse(top)))),join(zero,complement(one))) )],[refute_0_2937,refute_0_2940]) ).
cnf(refute_0_2942,plain,
join(converse(complement(one)),converse(complement(converse(converse(top))))) = converse(join(complement(one),complement(converse(converse(top))))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(one))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_2943,plain,
( converse(join(complement(one),complement(converse(converse(top))))) != converse(join(zero,complement(one)))
| join(converse(complement(one)),converse(complement(converse(converse(top))))) != converse(join(complement(one),complement(converse(converse(top)))))
| join(converse(complement(one)),converse(complement(converse(converse(top))))) = converse(join(zero,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(one),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(zero,complement(one)))))]]) ).
cnf(refute_0_2944,plain,
( converse(join(complement(one),complement(converse(converse(top))))) != converse(join(zero,complement(one)))
| join(converse(complement(one)),converse(complement(converse(converse(top))))) = converse(join(zero,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),converse(complement(converse(converse(top))))),converse(join(complement(one),complement(converse(converse(top)))))) )],[refute_0_2942,refute_0_2943]) ).
cnf(refute_0_2945,plain,
join(converse(complement(one)),converse(complement(converse(converse(top))))) = converse(join(zero,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(converse(converse(top))))),converse(join(zero,complement(one)))) )],[refute_0_2941,refute_0_2944]) ).
cnf(refute_0_2946,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_2947,plain,
( join(converse(complement(one)),converse(complement(converse(converse(top))))) != converse(join(zero,complement(one)))
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top))))))
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(zero,complement(one))))]]) ).
cnf(refute_0_2948,plain,
( join(converse(complement(one)),converse(complement(converse(converse(top))))) != converse(join(zero,complement(one)))
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top))))))) )],[refute_0_2946,refute_0_2947]) ).
cnf(refute_0_2949,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),converse(complement(converse(converse(top))))),converse(join(zero,complement(one)))) )],[refute_0_2945,refute_0_2948]) ).
cnf(refute_0_2950,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) = join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(complement(one)))),bind(X2,$fot(converse(complement(converse(converse(top))))))]]) ).
cnf(refute_0_2951,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) != join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top))))))
| join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) = join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))))]]) ).
cnf(refute_0_2952,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) = join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))),join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top))))))) )],[refute_0_2950,refute_0_2951]) ).
cnf(refute_0_2953,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) = join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(one)),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) )],[refute_0_2949,refute_0_2952]) ).
cnf(refute_0_2954,plain,
join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) = join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))),
introduced(tautology,[refl,[$fot(join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_2955,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) != join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))
| join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) != join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))))
| join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))),join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))]]) ).
cnf(refute_0_2956,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))) != join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))
| join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))),join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))))) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) )],[refute_0_2953,refute_0_2956]) ).
cnf(refute_0_2958,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) = join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(join(skolemFOFtoCNF_X0,converse(complement(one))))),bind(X_20,$fot(one)),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_2959,plain,
( join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) != join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))))
| join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))))]]) ).
cnf(refute_0_2960,plain,
( join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))),join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top))))))) )],[refute_0_2958,refute_0_2959]) ).
cnf(refute_0_2961,plain,
join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,converse(complement(one))),converse(complement(converse(converse(top)))))),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_2957,refute_0_2960]) ).
cnf(refute_0_2962,plain,
( converse(top) != join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top))))))
| join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| converse(top) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) ),[0],$fot(join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_2963,plain,
( converse(top) != join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top))))))
| converse(top) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top)))))),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_2961,refute_0_2962]) ).
cnf(refute_0_2964,plain,
converse(top) = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(skolemFOFtoCNF_X0,converse(complement(one))),join(one,converse(complement(converse(converse(top))))))) )],[refute_0_2929,refute_0_2963]) ).
cnf(refute_0_2965,plain,
( converse(top) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))))]]) ).
cnf(refute_0_2966,plain,
join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_2964,refute_0_2965]) ).
cnf(refute_0_2967,plain,
( join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) != converse(top)
| join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one),converse(top)) ),[0],$fot(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))))]]) ).
cnf(refute_0_2968,plain,
( join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = converse(top) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),converse(top)) )],[refute_0_2966,refute_0_2967]) ).
cnf(refute_0_2969,plain,
join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = converse(top),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_2925,refute_0_2968]) ).
cnf(refute_0_2970,plain,
join(one,converse(join(zero,complement(one)))) = converse(join(one,join(zero,complement(one)))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(zero,complement(one))))]]) ).
cnf(refute_0_2971,plain,
join(converse(join(zero,complement(one))),one) = join(one,converse(join(zero,complement(one)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(one)),bind(X1,$fot(converse(join(zero,complement(one)))))]]) ).
cnf(refute_0_2972,plain,
( join(converse(join(zero,complement(one))),one) != join(one,converse(join(zero,complement(one))))
| join(one,converse(join(zero,complement(one)))) != converse(join(one,join(zero,complement(one))))
| join(converse(join(zero,complement(one))),one) = converse(join(one,join(zero,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(zero,complement(one))),one))),bind(Y,$fot(join(one,converse(join(zero,complement(one)))))),bind(Z,$fot(converse(join(one,join(zero,complement(one))))))]]) ).
cnf(refute_0_2973,plain,
( join(one,converse(join(zero,complement(one)))) != converse(join(one,join(zero,complement(one))))
| join(converse(join(zero,complement(one))),one) = converse(join(one,join(zero,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(one))),one),join(one,converse(join(zero,complement(one))))) )],[refute_0_2971,refute_0_2972]) ).
cnf(refute_0_2974,plain,
join(converse(join(zero,complement(one))),one) = converse(join(one,join(zero,complement(one)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(zero,complement(one)))),converse(join(one,join(zero,complement(one))))) )],[refute_0_2970,refute_0_2973]) ).
cnf(refute_0_2975,plain,
join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)))]]) ).
cnf(refute_0_2976,plain,
( join(converse(join(zero,complement(one))),one) != converse(join(one,join(zero,complement(one))))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one))) ),[1,1],$fot(converse(join(one,join(zero,complement(one)))))]]) ).
cnf(refute_0_2977,plain,
( join(converse(join(zero,complement(one))),one) != converse(join(one,join(zero,complement(one))))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one))) )],[refute_0_2975,refute_0_2976]) ).
cnf(refute_0_2978,plain,
join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(one))),one),converse(join(one,join(zero,complement(one))))) )],[refute_0_2974,refute_0_2977]) ).
cnf(refute_0_2979,plain,
join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(join(zero,complement(one))))),bind(X2,$fot(one))]]) ).
cnf(refute_0_2980,plain,
( join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))
| join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))))]]) ).
cnf(refute_0_2981,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))
| join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one))) )],[refute_0_2979,refute_0_2980]) ).
cnf(refute_0_2982,plain,
join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),one)),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))) )],[refute_0_2978,refute_0_2981]) ).
cnf(refute_0_2983,plain,
( join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) != converse(top)
| join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))
| join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one),converse(top)) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))))]]) ).
cnf(refute_0_2984,plain,
( join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one) != converse(top)
| join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one)))))) )],[refute_0_2982,refute_0_2983]) ).
cnf(refute_0_2985,plain,
join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) = converse(top),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))),one),converse(top)) )],[refute_0_2969,refute_0_2984]) ).
cnf(refute_0_2986,plain,
( converse(top) != join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))))))))
| join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))) != converse(top)
| converse(top) = join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).
cnf(refute_0_2987,plain,
( converse(top) != join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))))))))
| converse(top) = join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))),converse(top)) )],[refute_0_2985,refute_0_2986]) ).
cnf(refute_0_2988,plain,
converse(top) = join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,complement(one))))))))))) )],[refute_0_2924,refute_0_2987]) ).
cnf(refute_0_2989,plain,
join(complement(converse(converse(top))),join(zero,complement(one))) = join(complement(converse(converse(top))),join(zero,complement(one))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(top))),join(zero,complement(one))))]]) ).
cnf(refute_0_2990,plain,
( complement(converse(converse(top))) != zero
| join(complement(converse(converse(top))),join(zero,complement(one))) != join(complement(converse(converse(top))),join(zero,complement(one)))
| join(complement(converse(converse(top))),join(zero,complement(one))) = join(zero,join(zero,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,complement(one))),join(complement(converse(converse(top))),join(zero,complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2991,plain,
( complement(converse(converse(top))) != zero
| join(complement(converse(converse(top))),join(zero,complement(one))) = join(zero,join(zero,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,complement(one))),join(complement(converse(converse(top))),join(zero,complement(one)))) )],[refute_0_2989,refute_0_2990]) ).
cnf(refute_0_2992,plain,
join(complement(converse(converse(top))),join(zero,complement(one))) = join(zero,join(zero,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_930,refute_0_2991]) ).
cnf(refute_0_2993,plain,
join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) = join(one,join(complement(converse(converse(top))),join(zero,complement(one)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))]]) ).
cnf(refute_0_2994,plain,
( join(complement(converse(converse(top))),join(zero,complement(one))) != join(zero,join(zero,complement(one)))
| join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) != join(one,join(complement(converse(converse(top))),join(zero,complement(one))))
| join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) = join(one,join(zero,join(zero,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))),join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) ),[1,1],$fot(join(zero,join(zero,complement(one))))]]) ).
cnf(refute_0_2995,plain,
( join(complement(converse(converse(top))),join(zero,complement(one))) != join(zero,join(zero,complement(one)))
| join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) = join(one,join(zero,join(zero,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))),join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) )],[refute_0_2993,refute_0_2994]) ).
cnf(refute_0_2996,plain,
join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) = join(one,join(zero,join(zero,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,complement(one))),join(zero,join(zero,complement(one)))) )],[refute_0_2992,refute_0_2995]) ).
cnf(refute_0_2997,plain,
converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))))]]) ).
cnf(refute_0_2998,plain,
( converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))
| join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) != join(one,join(zero,join(zero,complement(one))))
| converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) = converse(join(one,join(zero,join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))) ),[1,0],$fot(join(one,join(zero,join(zero,complement(one)))))]]) ).
cnf(refute_0_2999,plain,
( join(one,join(complement(converse(converse(top))),join(zero,complement(one)))) != join(one,join(zero,join(zero,complement(one))))
| converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) = converse(join(one,join(zero,join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))) )],[refute_0_2997,refute_0_2998]) ).
cnf(refute_0_3000,plain,
converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) = converse(join(one,join(zero,join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))),join(one,join(zero,join(zero,complement(one))))) )],[refute_0_2996,refute_0_2999]) ).
cnf(refute_0_3001,plain,
converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),
inference(subst,[],[refute_0_623:[bind(X1,$fot(join(zero,complement(one)))),bind(X_19,$fot(one)),bind(X_20,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_3002,plain,
converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) = converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one))))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(complement(converse(converse(top))))),bind(X1,$fot(join(one,join(zero,complement(one)))))]]) ).
cnf(refute_0_3003,plain,
( converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))
| converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) != converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one)))))
| converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one))))))),bind(Z,$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))))]]) ).
cnf(refute_0_3004,plain,
( converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))
| converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))),converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one)))))) )],[refute_0_3002,refute_0_3003]) ).
cnf(refute_0_3005,plain,
converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(one,join(zero,complement(one))))),converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))) )],[refute_0_3001,refute_0_3004]) ).
cnf(refute_0_3006,plain,
join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(join(one,join(zero,complement(one))))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_3007,plain,
( converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))
| join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) != converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top)))))
| join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))))]]) ).
cnf(refute_0_3008,plain,
( converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))
| join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))),converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top)))))) )],[refute_0_3006,refute_0_3007]) ).
cnf(refute_0_3009,plain,
join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(zero,complement(one))),complement(converse(converse(top))))),converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))) )],[refute_0_3005,refute_0_3008]) ).
cnf(refute_0_3010,plain,
( converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) != converse(join(one,join(zero,join(zero,complement(one)))))
| join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))
| join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(one,join(zero,join(zero,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))))),bind(Z,$fot(converse(join(one,join(zero,join(zero,complement(one)))))))]]) ).
cnf(refute_0_3011,plain,
( converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))) != converse(join(one,join(zero,join(zero,complement(one)))))
| join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(one,join(zero,join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))),converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one)))))) )],[refute_0_3009,refute_0_3010]) ).
cnf(refute_0_3012,plain,
join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) = converse(join(one,join(zero,join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(converse(top))),join(zero,complement(one))))),converse(join(one,join(zero,join(zero,complement(one)))))) )],[refute_0_3000,refute_0_3011]) ).
cnf(refute_0_3013,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_3014,plain,
( join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) != converse(join(one,join(zero,join(zero,complement(one)))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(one,join(zero,join(zero,complement(one))))))]]) ).
cnf(refute_0_3015,plain,
( join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))) != converse(join(one,join(zero,join(zero,complement(one)))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))) )],[refute_0_3013,refute_0_3014]) ).
cnf(refute_0_3016,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))),converse(join(one,join(zero,join(zero,complement(one)))))) )],[refute_0_3012,refute_0_3015]) ).
cnf(refute_0_3017,plain,
join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(converse(join(one,join(zero,complement(one)))))),bind(X_20,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_3018,plain,
( join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))))]]) ).
cnf(refute_0_3019,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top))))))) )],[refute_0_3017,refute_0_3018]) ).
cnf(refute_0_3020,plain,
join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,complement(one)))),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))) )],[refute_0_3016,refute_0_3019]) ).
cnf(refute_0_3021,plain,
( converse(top) != join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top))))))
| join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))
| converse(top) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))) ),[0],$fot(join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_3022,plain,
( converse(top) != join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top))))))
| converse(top) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))) )],[refute_0_3020,refute_0_3021]) ).
cnf(refute_0_3023,plain,
converse(top) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(join(one,join(zero,complement(one)))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top))))))) )],[refute_0_2988,refute_0_3022]) ).
cnf(refute_0_3024,plain,
( converse(top) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))
| join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))))]]) ).
cnf(refute_0_3025,plain,
join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one))))))) )],[refute_0_3023,refute_0_3024]) ).
cnf(refute_0_3026,plain,
( converse(top) != join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))))))))
| join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))) != converse(top)
| converse(top) = join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))))))))) ),[1,1,1,0,0,0],$fot(converse(top))]]) ).
cnf(refute_0_3027,plain,
( converse(top) != join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))))))))
| converse(top) = join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))),converse(top)) )],[refute_0_3025,refute_0_3026]) ).
cnf(refute_0_3028,plain,
converse(top) = join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,complement(one)))))))))))) )],[refute_0_2923,refute_0_3027]) ).
cnf(refute_0_3029,plain,
join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) = join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))]]) ).
cnf(refute_0_3030,plain,
( complement(converse(converse(top))) != zero
| join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) != join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))
| join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) = join(zero,join(zero,join(zero,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))),join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3031,plain,
( complement(converse(converse(top))) != zero
| join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) = join(zero,join(zero,join(zero,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))),join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) )],[refute_0_3029,refute_0_3030]) ).
cnf(refute_0_3032,plain,
join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) = join(zero,join(zero,join(zero,complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(top))),zero) )],[refute_0_930,refute_0_3031]) ).
cnf(refute_0_3033,plain,
join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) = join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))]]) ).
cnf(refute_0_3034,plain,
( join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) != join(zero,join(zero,join(zero,complement(one))))
| join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) != join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))
| join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) = join(one,join(zero,join(zero,join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))),join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) ),[1,1],$fot(join(zero,join(zero,join(zero,complement(one)))))]]) ).
cnf(refute_0_3035,plain,
( join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))) != join(zero,join(zero,join(zero,complement(one))))
| join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) = join(one,join(zero,join(zero,join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))),join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) )],[refute_0_3033,refute_0_3034]) ).
cnf(refute_0_3036,plain,
join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) = join(one,join(zero,join(zero,join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))),join(zero,join(zero,join(zero,complement(one))))) )],[refute_0_3032,refute_0_3035]) ).
cnf(refute_0_3037,plain,
converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))))]]) ).
cnf(refute_0_3038,plain,
( converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))
| join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) != join(one,join(zero,join(zero,join(zero,complement(one)))))
| converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) = converse(join(one,join(zero,join(zero,join(zero,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))) ),[1,0],$fot(join(one,join(zero,join(zero,join(zero,complement(one))))))]]) ).
cnf(refute_0_3039,plain,
( join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))) != join(one,join(zero,join(zero,join(zero,complement(one)))))
| converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) = converse(join(one,join(zero,join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))) )],[refute_0_3037,refute_0_3038]) ).
cnf(refute_0_3040,plain,
converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) = converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))),join(one,join(zero,join(zero,join(zero,complement(one)))))) )],[refute_0_3036,refute_0_3039]) ).
cnf(refute_0_3041,plain,
converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one)))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),
inference(subst,[],[refute_0_623:[bind(X1,$fot(join(zero,join(zero,complement(one))))),bind(X_19,$fot(one)),bind(X_20,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_3042,plain,
converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) = converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one)))))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(complement(converse(converse(top))))),bind(X1,$fot(join(one,join(zero,join(zero,complement(one))))))]]) ).
cnf(refute_0_3043,plain,
( converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one)))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))
| converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) != converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one))))))
| converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))))),bind(Y,$fot(converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one)))))))),bind(Z,$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))))]]) ).
cnf(refute_0_3044,plain,
( converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one)))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))
| converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))),converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one))))))) )],[refute_0_3042,refute_0_3043]) ).
cnf(refute_0_3045,plain,
converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(converse(top))),join(one,join(zero,join(zero,complement(one)))))),converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))) )],[refute_0_3041,refute_0_3044]) ).
cnf(refute_0_3046,plain,
join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(join(one,join(zero,join(zero,complement(one)))))),bind(X1,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_3047,plain,
( converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) != converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top)))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))))),bind(Z,$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))))]]) ).
cnf(refute_0_3048,plain,
( converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))),converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top)))))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(zero,join(zero,complement(one)))),complement(converse(converse(top))))),converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))) )],[refute_0_3045,refute_0_3048]) ).
cnf(refute_0_3050,plain,
( converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) != converse(join(one,join(zero,join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) != converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(one,join(zero,join(zero,join(zero,complement(one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))),bind(Y,$fot(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))))),bind(Z,$fot(converse(join(one,join(zero,join(zero,join(zero,complement(one))))))))]]) ).
cnf(refute_0_3051,plain,
( converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))) != converse(join(one,join(zero,join(zero,join(zero,complement(one))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(one,join(zero,join(zero,join(zero,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))),converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one))))))) )],[refute_0_3049,refute_0_3050]) ).
cnf(refute_0_3052,plain,
join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) = converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(converse(top))),join(zero,join(zero,complement(one)))))),converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) )],[refute_0_3040,refute_0_3051]) ).
cnf(refute_0_3053,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_3054,plain,
( join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) != converse(join(one,join(zero,join(zero,join(zero,complement(one))))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))) ),[1,1],$fot(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))]]) ).
cnf(refute_0_3055,plain,
( join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))) != converse(join(one,join(zero,join(zero,join(zero,complement(one))))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))) )],[refute_0_3053,refute_0_3054]) ).
cnf(refute_0_3056,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))),converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) )],[refute_0_3052,refute_0_3055]) ).
cnf(refute_0_3057,plain,
join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))),
inference(subst,[],[refute_0_374:[bind(X_19,$fot(converse(join(one,join(zero,join(zero,complement(one))))))),bind(X_20,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(complement(converse(converse(top)))))]]) ).
cnf(refute_0_3058,plain,
( join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))))]]) ).
cnf(refute_0_3059,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top))))))) )],[refute_0_3057,refute_0_3058]) ).
cnf(refute_0_3060,plain,
join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,complement(one))))),converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))) )],[refute_0_3056,refute_0_3059]) ).
cnf(refute_0_3061,plain,
( converse(top) != join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top))))))
| join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))
| converse(top) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))) ),[0],$fot(join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))))]]) ).
cnf(refute_0_3062,plain,
( converse(top) != join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top))))))
| converse(top) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top)))))),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))) )],[refute_0_3060,refute_0_3061]) ).
cnf(refute_0_3063,plain,
converse(top) = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(join(one,join(zero,join(zero,complement(one))))),join(skolemFOFtoCNF_X0,converse(complement(converse(converse(top))))))) )],[refute_0_3028,refute_0_3062]) ).
cnf(refute_0_3064,plain,
( converse(top) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))
| converse(top) != top
| top = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3065,plain,
( converse(top) != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))
| top = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_3064]) ).
cnf(refute_0_3066,plain,
top = join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))) )],[refute_0_3063,refute_0_3065]) ).
cnf(refute_0_3067,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))
| join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))))]]) ).
cnf(refute_0_3068,plain,
join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one)))))))) )],[refute_0_3066,refute_0_3067]) ).
cnf(refute_0_3069,plain,
( join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))) != top
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),X_57)
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(top,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),X_57)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3070,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),X_57)
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(top,X_57) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),top) )],[refute_0_3068,refute_0_3069]) ).
cnf(refute_0_3071,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(top,X_57),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(join(skolemFOFtoCNF_X0,converse(join(one,join(zero,join(zero,join(zero,complement(one))))))),X_57)) )],[refute_0_2922,refute_0_3070]) ).
cnf(refute_0_3072,plain,
join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))]]) ).
cnf(refute_0_3073,plain,
join(X_57,X_56) = join(X_56,X_57),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_57)),bind(X1,$fot(X_56))]]) ).
cnf(refute_0_3074,plain,
( join(X_57,X_56) != join(X_56,X_57)
| join(X_56,X_57) = join(X_57,X_56) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_57,X_56))),bind(Y,$fot(join(X_56,X_57)))]]) ).
cnf(refute_0_3075,plain,
join(X_56,X_57) = join(X_57,X_56),
inference(resolve,[$cnf( $equal(join(X_57,X_56),join(X_56,X_57)) )],[refute_0_3073,refute_0_3074]) ).
cnf(refute_0_3076,plain,
( join(X_55,join(X_56,X_57)) != join(join(X_55,X_56),X_57)
| join(X_56,X_57) != join(X_57,X_56)
| join(X_55,join(X_57,X_56)) = join(join(X_55,X_56),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(join(X_55,X_56),X_57)) ),[0,1],$fot(join(X_57,X_56))]]) ).
cnf(refute_0_3077,plain,
( join(X_55,join(X_56,X_57)) != join(join(X_55,X_56),X_57)
| join(X_55,join(X_57,X_56)) = join(join(X_55,X_56),X_57) ),
inference(resolve,[$cnf( $equal(join(X_56,X_57),join(X_57,X_56)) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
join(X_55,join(X_57,X_56)) = join(join(X_55,X_56),X_57),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(join(X_55,X_56),X_57)) )],[refute_0_1686,refute_0_3077]) ).
cnf(refute_0_3079,plain,
join(join(X_55,X_56),X_57) = join(X_55,join(X_56,X_57)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_55)),bind(X1,$fot(X_56)),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_3080,plain,
( join(X_55,join(X_57,X_56)) != join(join(X_55,X_56),X_57)
| join(join(X_55,X_56),X_57) != join(X_55,join(X_56,X_57))
| join(X_55,join(X_57,X_56)) = join(X_55,join(X_56,X_57)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,join(X_57,X_56)),join(X_55,join(X_56,X_57))) ),[0],$fot(join(join(X_55,X_56),X_57))]]) ).
cnf(refute_0_3081,plain,
( join(X_55,join(X_57,X_56)) != join(join(X_55,X_56),X_57)
| join(X_55,join(X_57,X_56)) = join(X_55,join(X_56,X_57)) ),
inference(resolve,[$cnf( $equal(join(join(X_55,X_56),X_57),join(X_55,join(X_56,X_57))) )],[refute_0_3079,refute_0_3080]) ).
cnf(refute_0_3082,plain,
join(X_55,join(X_57,X_56)) = join(X_55,join(X_56,X_57)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_57,X_56)),join(join(X_55,X_56),X_57)) )],[refute_0_3078,refute_0_3081]) ).
cnf(refute_0_3083,plain,
( join(X_55,join(X_57,X_56)) != join(X_55,join(X_56,X_57))
| join(X_55,join(X_56,X_57)) = join(X_55,join(X_57,X_56)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(X_57,X_56)))),bind(Y,$fot(join(X_55,join(X_56,X_57))))]]) ).
cnf(refute_0_3084,plain,
join(X_55,join(X_56,X_57)) = join(X_55,join(X_57,X_56)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_57,X_56)),join(X_55,join(X_56,X_57))) )],[refute_0_3082,refute_0_3083]) ).
cnf(refute_0_3085,plain,
join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))),
inference(subst,[],[refute_0_3084:[bind(X_55,$fot(one)),bind(X_56,$fot(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))),bind(X_57,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3086,plain,
( join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))
| join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))))),bind(Z,$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))))]]) ).
cnf(refute_0_3087,plain,
( join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),
inference(resolve,[$cnf( $equal(join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))) )],[refute_0_3085,refute_0_3086]) ).
cnf(refute_0_3088,plain,
join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) )],[refute_0_3072,refute_0_3087]) ).
cnf(refute_0_3089,plain,
join(X0,join(X_55,X_56)) = join(join(X_55,X_56),X0),
inference(subst,[],[refute_0_49:[bind(X1,$fot(join(X_55,X_56)))]]) ).
cnf(refute_0_3090,plain,
join(X_55,join(X_56,X0)) = join(join(X_55,X_56),X0),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(X_56)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_3091,plain,
( join(X_55,join(X_56,X0)) != join(join(X_55,X_56),X0)
| join(join(X_55,X_56),X0) = join(X_55,join(X_56,X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(X_56,X0)))),bind(Y,$fot(join(join(X_55,X_56),X0)))]]) ).
cnf(refute_0_3092,plain,
join(join(X_55,X_56),X0) = join(X_55,join(X_56,X0)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X0)),join(join(X_55,X_56),X0)) )],[refute_0_3090,refute_0_3091]) ).
cnf(refute_0_3093,plain,
( join(X0,join(X_55,X_56)) != join(join(X_55,X_56),X0)
| join(join(X_55,X_56),X0) != join(X_55,join(X_56,X0))
| join(X0,join(X_55,X_56)) = join(X_55,join(X_56,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_55,X_56)),join(X_55,join(X_56,X0))) ),[0],$fot(join(join(X_55,X_56),X0))]]) ).
cnf(refute_0_3094,plain,
( join(X0,join(X_55,X_56)) != join(join(X_55,X_56),X0)
| join(X0,join(X_55,X_56)) = join(X_55,join(X_56,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_55,X_56),X0),join(X_55,join(X_56,X0))) )],[refute_0_3092,refute_0_3093]) ).
cnf(refute_0_3095,plain,
join(X0,join(X_55,X_56)) = join(X_55,join(X_56,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_55,X_56)),join(join(X_55,X_56),X0)) )],[refute_0_3089,refute_0_3094]) ).
cnf(refute_0_3096,plain,
join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) = join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_55,$fot(one)),bind(X_56,$fot(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))]]) ).
cnf(refute_0_3097,plain,
( join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) != join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))))),bind(Y,$fot(join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))))]]) ).
cnf(refute_0_3098,plain,
( join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))),join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0))) )],[refute_0_3096,refute_0_3097]) ).
cnf(refute_0_3099,plain,
join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),
inference(resolve,[$cnf( $equal(join(one,join(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),skolemFOFtoCNF_X0)),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) )],[refute_0_3088,refute_0_3098]) ).
cnf(refute_0_3100,plain,
join(one,join(converse(X_5),X_57)) = join(join(one,converse(X_5)),X_57),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_5))),bind(X2,$fot(X_57))]]) ).
cnf(refute_0_3101,plain,
( join(one,converse(X_5)) != converse(join(one,X_5))
| join(one,join(converse(X_5),X_57)) != join(join(one,converse(X_5)),X_57)
| join(one,join(converse(X_5),X_57)) = join(converse(join(one,X_5)),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_5),X_57)),join(join(one,converse(X_5)),X_57)) ),[1,0],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_3102,plain,
( join(one,join(converse(X_5),X_57)) != join(join(one,converse(X_5)),X_57)
| join(one,join(converse(X_5),X_57)) = join(converse(join(one,X_5)),X_57) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_507,refute_0_3101]) ).
cnf(refute_0_3103,plain,
join(one,join(converse(X_5),X_57)) = join(converse(join(one,X_5)),X_57),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_5),X_57)),join(join(one,converse(X_5)),X_57)) )],[refute_0_3100,refute_0_3102]) ).
cnf(refute_0_3104,plain,
( join(one,join(converse(X_5),X_57)) != join(converse(join(one,X_5)),X_57)
| join(converse(join(one,X_5)),X_57) = join(one,join(converse(X_5),X_57)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(converse(X_5),X_57)))),bind(Y,$fot(join(converse(join(one,X_5)),X_57)))]]) ).
cnf(refute_0_3105,plain,
join(converse(join(one,X_5)),X_57) = join(one,join(converse(X_5),X_57)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_5),X_57)),join(converse(join(one,X_5)),X_57)) )],[refute_0_3103,refute_0_3104]) ).
cnf(refute_0_3106,plain,
join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),
inference(subst,[],[refute_0_3105:[bind(X_5,$fot(join(zero,join(zero,join(zero,complement(one))))))]]) ).
cnf(refute_0_3107,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)))]]) ).
cnf(refute_0_3108,plain,
( join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57))) ),[1,1],$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))]]) ).
cnf(refute_0_3109,plain,
( join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57))) )],[refute_0_3107,refute_0_3108]) ).
cnf(refute_0_3110,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))),
inference(resolve,[$cnf( $equal(join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) )],[refute_0_3106,refute_0_3109]) ).
cnf(refute_0_3111,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))))),bind(Z,$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))))]]) ).
cnf(refute_0_3112,plain,
( join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))) )],[refute_0_3110,refute_0_3111]) ).
cnf(refute_0_3113,plain,
join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) )],[refute_0_3099,refute_0_3112]) ).
cnf(refute_0_3114,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(top,X_57)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(top,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(top,X_57)) ),[0],$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))]]) ).
cnf(refute_0_3115,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)) != join(top,X_57)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(top,X_57) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) )],[refute_0_3113,refute_0_3114]) ).
cnf(refute_0_3116,plain,
join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(top,X_57),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(one,join(zero,join(zero,join(zero,complement(one)))))),X_57)),join(top,X_57)) )],[refute_0_3071,refute_0_3115]) ).
cnf(refute_0_3117,plain,
join(X_55,join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) = join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(one)),bind(X2,$fot(join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))))]]) ).
cnf(refute_0_3118,plain,
( converse(top) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| converse(top) != top
| top = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3119,plain,
( converse(top) != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| top = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_3118]) ).
cnf(refute_0_3120,plain,
top = join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_2964,refute_0_3119]) ).
cnf(refute_0_3121,plain,
( top != join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))))]]) ).
cnf(refute_0_3122,plain,
join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_3120,refute_0_3121]) ).
cnf(refute_0_3123,plain,
( join(X_55,join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) != join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) != top
| join(X_55,top) = join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))),join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_3124,plain,
( join(X_55,join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) != join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(X_55,top) = join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),top) )],[refute_0_3122,refute_0_3123]) ).
cnf(refute_0_3125,plain,
join(X_55,top) = join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),
inference(resolve,[$cnf( $equal(join(X_55,join(one,join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))),join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_3117,refute_0_3124]) ).
cnf(refute_0_3126,plain,
( join(X0,join(X_55,X_56)) != join(X_55,join(X_56,X0))
| join(X_55,join(X_56,X0)) = join(X0,join(X_55,X_56)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X_55,X_56)))),bind(Y,$fot(join(X_55,join(X_56,X0))))]]) ).
cnf(refute_0_3127,plain,
join(X_55,join(X_56,X0)) = join(X0,join(X_55,X_56)),
inference(resolve,[$cnf( $equal(join(X0,join(X_55,X_56)),join(X_55,join(X_56,X0))) )],[refute_0_3095,refute_0_3126]) ).
cnf(refute_0_3128,plain,
join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)),
inference(subst,[],[refute_0_3127:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_55,$fot(converse(join(zero,complement(one))))),bind(X_56,$fot(X_55))]]) ).
cnf(refute_0_3129,plain,
join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) = join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(converse(join(zero,complement(one))))),bind(X1,$fot(X_55)),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3130,plain,
( join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))
| join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) != join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0))
| join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0))),bind(Y,$fot(join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))))]]) ).
cnf(refute_0_3131,plain,
( join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))
| join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)) ),
inference(resolve,[$cnf( $equal(join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0),join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0))) )],[refute_0_3129,refute_0_3130]) ).
cnf(refute_0_3132,plain,
join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(one))),join(X_55,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) )],[refute_0_3128,refute_0_3131]) ).
cnf(refute_0_3133,plain,
join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) = join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3134,plain,
( join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))
| join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) != join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0))
| join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)),join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))]]) ).
cnf(refute_0_3135,plain,
( join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))
| join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)),join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))),
inference(resolve,[$cnf( $equal(join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) )],[refute_0_3132,refute_0_3135]) ).
cnf(refute_0_3137,plain,
join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) = join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_55,$fot(one)),bind(X_56,$fot(join(converse(join(zero,complement(one))),X_55)))]]) ).
cnf(refute_0_3138,plain,
( join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) != join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))))),bind(Y,$fot(join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))))]]) ).
cnf(refute_0_3139,plain,
( join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))),join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0))) )],[refute_0_3137,refute_0_3138]) ).
cnf(refute_0_3140,plain,
join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))),
inference(resolve,[$cnf( $equal(join(one,join(join(converse(join(zero,complement(one))),X_55),skolemFOFtoCNF_X0)),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))) )],[refute_0_3136,refute_0_3139]) ).
cnf(refute_0_3141,plain,
join(converse(join(zero,complement(one))),join(X_55,one)) = join(one,join(converse(join(zero,complement(one))),X_55)),
inference(subst,[],[refute_0_3127:[bind(X0,$fot(one)),bind(X_55,$fot(converse(join(zero,complement(one))))),bind(X_56,$fot(X_55))]]) ).
cnf(refute_0_3142,plain,
join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))))]]) ).
cnf(refute_0_3143,plain,
( join(converse(join(zero,complement(one))),join(X_55,one)) != join(one,join(converse(join(zero,complement(one))),X_55))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one)))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one)))) ),[1,1],$fot(join(one,join(converse(join(zero,complement(one))),X_55)))]]) ).
cnf(refute_0_3144,plain,
( join(converse(join(zero,complement(one))),join(X_55,one)) != join(one,join(converse(join(zero,complement(one))),X_55))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one)))) )],[refute_0_3142,refute_0_3143]) ).
cnf(refute_0_3145,plain,
join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(one))),join(X_55,one)),join(one,join(converse(join(zero,complement(one))),X_55))) )],[refute_0_3141,refute_0_3144]) ).
cnf(refute_0_3146,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) != join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55)))
| join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))))),bind(Z,$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))))]]) ).
cnf(refute_0_3147,plain,
( join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))),join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55)))) )],[refute_0_3145,refute_0_3146]) ).
cnf(refute_0_3148,plain,
join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,join(converse(join(zero,complement(one))),X_55))),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))) )],[refute_0_3140,refute_0_3147]) ).
cnf(refute_0_3149,plain,
join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(join(X_55,one))),bind(X_55,$fot(skolemFOFtoCNF_X0)),bind(X_56,$fot(converse(join(zero,complement(one)))))]]) ).
cnf(refute_0_3150,plain,
( join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) != join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one)))
| join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))))),bind(Z,$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))))]]) ).
cnf(refute_0_3151,plain,
( join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(resolve,[$cnf( $equal(join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one)))) )],[refute_0_3149,refute_0_3150]) ).
cnf(refute_0_3152,plain,
join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),join(X_55,one))),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))) )],[refute_0_3148,refute_0_3151]) ).
cnf(refute_0_3153,plain,
( join(X_55,top) != join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(X_55,top) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,top),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))) ),[0],$fot(join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))))]]) ).
cnf(refute_0_3154,plain,
( join(X_55,top) != join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))
| join(X_55,top) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) ),
inference(resolve,[$cnf( $equal(join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one))))),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))) )],[refute_0_3152,refute_0_3153]) ).
cnf(refute_0_3155,plain,
join(X_55,top) = join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))),
inference(resolve,[$cnf( $equal(join(X_55,top),join(join(X_55,one),join(skolemFOFtoCNF_X0,converse(join(zero,complement(one)))))) )],[refute_0_3125,refute_0_3154]) ).
cnf(refute_0_3156,plain,
join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) = join(one,join(converse(join(zero,complement(one))),X_55)),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(join(converse(join(zero,complement(one))),X_55)))]]) ).
cnf(refute_0_3157,plain,
( join(X_55,top) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))) != join(one,join(converse(join(zero,complement(one))),X_55))
| join(X_55,top) = join(one,join(converse(join(zero,complement(one))),X_55)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,top),join(one,join(converse(join(zero,complement(one))),X_55))) ),[0],$fot(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))))]]) ).
cnf(refute_0_3158,plain,
( join(X_55,top) != join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))
| join(X_55,top) = join(one,join(converse(join(zero,complement(one))),X_55)) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55))),join(one,join(converse(join(zero,complement(one))),X_55))) )],[refute_0_3156,refute_0_3157]) ).
cnf(refute_0_3159,plain,
join(X_55,top) = join(one,join(converse(join(zero,complement(one))),X_55)),
inference(resolve,[$cnf( $equal(join(X_55,top),join(one,join(skolemFOFtoCNF_X0,join(converse(join(zero,complement(one))),X_55)))) )],[refute_0_3155,refute_0_3158]) ).
cnf(refute_0_3160,plain,
( join(X_55,top) != join(one,join(converse(join(zero,complement(one))),X_55))
| join(one,join(converse(join(zero,complement(one))),X_55)) = join(X_55,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,top))),bind(Y,$fot(join(one,join(converse(join(zero,complement(one))),X_55))))]]) ).
cnf(refute_0_3161,plain,
join(one,join(converse(join(zero,complement(one))),X_55)) = join(X_55,top),
inference(resolve,[$cnf( $equal(join(X_55,top),join(one,join(converse(join(zero,complement(one))),X_55))) )],[refute_0_3159,refute_0_3160]) ).
cnf(refute_0_3162,plain,
join(one,join(converse(join(zero,complement(one))),X_57)) = join(X_57,top),
inference(subst,[],[refute_0_3161:[bind(X_55,$fot(X_57))]]) ).
cnf(refute_0_3163,plain,
join(zero,join(zero,complement(one))) = join(zero,complement(one)),
inference(subst,[],[refute_0_128:[bind(X_57,$fot(complement(one)))]]) ).
cnf(refute_0_3164,plain,
join(zero,join(zero,join(zero,complement(one)))) = join(zero,join(zero,complement(one))),
inference(subst,[],[refute_0_128:[bind(X_57,$fot(join(zero,complement(one))))]]) ).
cnf(refute_0_3165,plain,
( join(zero,join(zero,complement(one))) != join(zero,complement(one))
| join(zero,join(zero,join(zero,complement(one)))) != join(zero,join(zero,complement(one)))
| join(zero,join(zero,join(zero,complement(one)))) = join(zero,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,join(zero,join(zero,complement(one)))))),bind(Y,$fot(join(zero,join(zero,complement(one))))),bind(Z,$fot(join(zero,complement(one))))]]) ).
cnf(refute_0_3166,plain,
( join(zero,join(zero,complement(one))) != join(zero,complement(one))
| join(zero,join(zero,join(zero,complement(one)))) = join(zero,complement(one)) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(zero,complement(one)))),join(zero,join(zero,complement(one)))) )],[refute_0_3164,refute_0_3165]) ).
cnf(refute_0_3167,plain,
join(zero,join(zero,join(zero,complement(one)))) = join(zero,complement(one)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,complement(one))),join(zero,complement(one))) )],[refute_0_3163,refute_0_3166]) ).
cnf(refute_0_3168,plain,
converse(join(zero,join(zero,join(zero,complement(one))))) = converse(join(zero,join(zero,join(zero,complement(one))))),
introduced(tautology,[refl,[$fot(converse(join(zero,join(zero,join(zero,complement(one))))))]]) ).
cnf(refute_0_3169,plain,
( converse(join(zero,join(zero,join(zero,complement(one))))) != converse(join(zero,join(zero,join(zero,complement(one)))))
| join(zero,join(zero,join(zero,complement(one)))) != join(zero,complement(one))
| converse(join(zero,join(zero,join(zero,complement(one))))) = converse(join(zero,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,join(zero,join(zero,complement(one))))),converse(join(zero,join(zero,join(zero,complement(one)))))) ),[1,0],$fot(join(zero,complement(one)))]]) ).
cnf(refute_0_3170,plain,
( join(zero,join(zero,join(zero,complement(one)))) != join(zero,complement(one))
| converse(join(zero,join(zero,join(zero,complement(one))))) = converse(join(zero,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,join(zero,complement(one))))),converse(join(zero,join(zero,join(zero,complement(one)))))) )],[refute_0_3168,refute_0_3169]) ).
cnf(refute_0_3171,plain,
converse(join(zero,join(zero,join(zero,complement(one))))) = converse(join(zero,complement(one))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(zero,complement(one)))),join(zero,complement(one))) )],[refute_0_3167,refute_0_3170]) ).
cnf(refute_0_3172,plain,
join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) = join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),
introduced(tautology,[refl,[$fot(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))]]) ).
cnf(refute_0_3173,plain,
( converse(join(zero,join(zero,join(zero,complement(one))))) != converse(join(zero,complement(one)))
| join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) != join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)
| join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) = join(converse(join(zero,complement(one))),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) ),[1,0],$fot(converse(join(zero,complement(one))))]]) ).
cnf(refute_0_3174,plain,
( converse(join(zero,join(zero,join(zero,complement(one))))) != converse(join(zero,complement(one)))
| join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) = join(converse(join(zero,complement(one))),X_57) ),
inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) )],[refute_0_3172,refute_0_3173]) ).
cnf(refute_0_3175,plain,
join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) = join(converse(join(zero,complement(one))),X_57),
inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,join(zero,complement(one))))),converse(join(zero,complement(one)))) )],[refute_0_3171,refute_0_3174]) ).
cnf(refute_0_3176,plain,
join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),
introduced(tautology,[refl,[$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))]]) ).
cnf(refute_0_3177,plain,
( join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) != join(converse(join(zero,complement(one))),X_57)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) != join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(one,join(converse(join(zero,complement(one))),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) ),[1,1],$fot(join(converse(join(zero,complement(one))),X_57))]]) ).
cnf(refute_0_3178,plain,
( join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57) != join(converse(join(zero,complement(one))),X_57)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(one,join(converse(join(zero,complement(one))),X_57)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57))) )],[refute_0_3176,refute_0_3177]) ).
cnf(refute_0_3179,plain,
join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(one,join(converse(join(zero,complement(one))),X_57)),
inference(resolve,[$cnf( $equal(join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57),join(converse(join(zero,complement(one))),X_57)) )],[refute_0_3175,refute_0_3178]) ).
cnf(refute_0_3180,plain,
( join(one,join(converse(join(zero,complement(one))),X_57)) != join(X_57,top)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) != join(one,join(converse(join(zero,complement(one))),X_57))
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(X_57,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)))),bind(Y,$fot(join(one,join(converse(join(zero,complement(one))),X_57)))),bind(Z,$fot(join(X_57,top)))]]) ).
cnf(refute_0_3181,plain,
( join(one,join(converse(join(zero,complement(one))),X_57)) != join(X_57,top)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(X_57,top) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),join(one,join(converse(join(zero,complement(one))),X_57))) )],[refute_0_3179,refute_0_3180]) ).
cnf(refute_0_3182,plain,
join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) = join(X_57,top),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(zero,complement(one))),X_57)),join(X_57,top)) )],[refute_0_3162,refute_0_3181]) ).
cnf(refute_0_3183,plain,
( join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) != join(X_57,top)
| join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) != join(top,X_57)
| join(X_57,top) = join(top,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),join(top,X_57)) ),[0],$fot(join(X_57,top))]]) ).
cnf(refute_0_3184,plain,
( join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)) != join(top,X_57)
| join(X_57,top) = join(top,X_57) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),join(X_57,top)) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
join(X_57,top) = join(top,X_57),
inference(resolve,[$cnf( $equal(join(one,join(converse(join(zero,join(zero,join(zero,complement(one))))),X_57)),join(top,X_57)) )],[refute_0_3116,refute_0_3184]) ).
cnf(refute_0_3186,plain,
join(complement(one),top) = join(top,complement(one)),
inference(subst,[],[refute_0_3185:[bind(X_57,$fot(complement(one)))]]) ).
cnf(refute_0_3187,plain,
( join(complement(one),top) != join(top,complement(one))
| join(top,complement(one)) != top
| join(complement(one),top) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),top))),bind(Y,$fot(join(top,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3188,plain,
( join(top,complement(one)) != top
| join(complement(one),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(top,complement(one))) )],[refute_0_3186,refute_0_3187]) ).
cnf(refute_0_3189,plain,
join(complement(one),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(one)),top) )],[refute_0_2921,refute_0_3188]) ).
cnf(refute_0_3190,plain,
( join(complement(one),top) != join(complement(one),complement(composition(top,zero)))
| join(complement(one),top) != top
| top = join(complement(one),complement(composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),top),join(complement(one),complement(composition(top,zero)))) ),[0],$fot(top)]]) ).
cnf(refute_0_3191,plain,
( join(complement(one),top) != join(complement(one),complement(composition(top,zero)))
| top = join(complement(one),complement(composition(top,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(one),top),top) )],[refute_0_3189,refute_0_3190]) ).
cnf(refute_0_3192,plain,
top = join(complement(one),complement(composition(top,zero))),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(complement(one),complement(composition(top,zero)))) )],[refute_0_2920,refute_0_3191]) ).
cnf(refute_0_3193,plain,
( top != join(complement(one),complement(composition(top,zero)))
| join(complement(one),complement(composition(top,zero))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),complement(composition(top,zero)))))]]) ).
cnf(refute_0_3194,plain,
join(complement(one),complement(composition(top,zero))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),complement(composition(top,zero)))) )],[refute_0_3192,refute_0_3193]) ).
cnf(refute_0_3195,plain,
( join(complement(one),complement(composition(top,zero))) != top
| one != join(meet(one,complement(composition(top,zero))),complement(join(complement(one),complement(composition(top,zero)))))
| one = join(meet(one,complement(composition(top,zero))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(top,zero))),complement(join(complement(one),complement(composition(top,zero)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_3196,plain,
( one != join(meet(one,complement(composition(top,zero))),complement(join(complement(one),complement(composition(top,zero)))))
| one = join(meet(one,complement(composition(top,zero))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(top,zero))),top) )],[refute_0_3194,refute_0_3195]) ).
cnf(refute_0_3197,plain,
one = join(meet(one,complement(composition(top,zero))),complement(top)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(top,zero))),complement(join(complement(one),complement(composition(top,zero)))))) )],[refute_0_2889,refute_0_3196]) ).
cnf(refute_0_3198,plain,
join(complement(top),meet(one,complement(composition(top,zero)))) = join(complement(top),meet(one,complement(composition(top,zero)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(one,complement(composition(top,zero)))))]]) ).
cnf(refute_0_3199,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(composition(top,zero)))) != join(complement(top),meet(one,complement(composition(top,zero))))
| join(complement(top),meet(one,complement(composition(top,zero)))) = join(zero,meet(one,complement(composition(top,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(one,complement(composition(top,zero)))),join(complement(top),meet(one,complement(composition(top,zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3200,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(composition(top,zero)))) = join(zero,meet(one,complement(composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(composition(top,zero)))),join(complement(top),meet(one,complement(composition(top,zero))))) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
join(complement(top),meet(one,complement(composition(top,zero)))) = join(zero,meet(one,complement(composition(top,zero)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3200]) ).
cnf(refute_0_3202,plain,
join(meet(one,complement(composition(top,zero))),complement(top)) = join(complement(top),meet(one,complement(composition(top,zero)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(one,complement(composition(top,zero)))))]]) ).
cnf(refute_0_3203,plain,
( join(complement(top),meet(one,complement(composition(top,zero)))) != join(zero,meet(one,complement(composition(top,zero))))
| join(meet(one,complement(composition(top,zero))),complement(top)) != join(complement(top),meet(one,complement(composition(top,zero))))
| join(meet(one,complement(composition(top,zero))),complement(top)) = join(zero,meet(one,complement(composition(top,zero)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(composition(top,zero))),complement(top)))),bind(Y,$fot(join(complement(top),meet(one,complement(composition(top,zero)))))),bind(Z,$fot(join(zero,meet(one,complement(composition(top,zero))))))]]) ).
cnf(refute_0_3204,plain,
( join(complement(top),meet(one,complement(composition(top,zero)))) != join(zero,meet(one,complement(composition(top,zero))))
| join(meet(one,complement(composition(top,zero))),complement(top)) = join(zero,meet(one,complement(composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(top,zero))),complement(top)),join(complement(top),meet(one,complement(composition(top,zero))))) )],[refute_0_3202,refute_0_3203]) ).
cnf(refute_0_3205,plain,
join(meet(one,complement(composition(top,zero))),complement(top)) = join(zero,meet(one,complement(composition(top,zero)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(composition(top,zero)))),join(zero,meet(one,complement(composition(top,zero))))) )],[refute_0_3201,refute_0_3204]) ).
cnf(refute_0_3206,plain,
( join(meet(one,complement(composition(top,zero))),complement(top)) != join(zero,meet(one,complement(composition(top,zero))))
| one != join(meet(one,complement(composition(top,zero))),complement(top))
| one = join(zero,meet(one,complement(composition(top,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(top,zero))),complement(top))) ),[1],$fot(join(zero,meet(one,complement(composition(top,zero)))))]]) ).
cnf(refute_0_3207,plain,
( one != join(meet(one,complement(composition(top,zero))),complement(top))
| one = join(zero,meet(one,complement(composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(top,zero))),complement(top)),join(zero,meet(one,complement(composition(top,zero))))) )],[refute_0_3205,refute_0_3206]) ).
cnf(refute_0_3208,plain,
one = join(zero,meet(one,complement(composition(top,zero)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(top,zero))),complement(top))) )],[refute_0_3197,refute_0_3207]) ).
cnf(refute_0_3209,plain,
( one != join(zero,meet(one,complement(composition(top,zero))))
| join(zero,meet(one,complement(composition(top,zero)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(zero,meet(one,complement(composition(top,zero))))))]]) ).
cnf(refute_0_3210,plain,
join(zero,meet(one,complement(composition(top,zero)))) = one,
inference(resolve,[$cnf( $equal(one,join(zero,meet(one,complement(composition(top,zero))))) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
( join(zero,join(meet(one,complement(composition(top,zero))),zero)) != join(zero,meet(one,complement(composition(top,zero))))
| join(zero,meet(one,complement(composition(top,zero)))) != one
| join(zero,join(meet(one,complement(composition(top,zero))),zero)) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,join(meet(one,complement(composition(top,zero))),zero)),one) ),[0],$fot(join(zero,meet(one,complement(composition(top,zero)))))]]) ).
cnf(refute_0_3212,plain,
( join(zero,join(meet(one,complement(composition(top,zero))),zero)) != join(zero,meet(one,complement(composition(top,zero))))
| join(zero,join(meet(one,complement(composition(top,zero))),zero)) = one ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(top,zero)))),one) )],[refute_0_3210,refute_0_3211]) ).
cnf(refute_0_3213,plain,
join(zero,join(meet(one,complement(composition(top,zero))),zero)) = one,
inference(resolve,[$cnf( $equal(join(zero,join(meet(one,complement(composition(top,zero))),zero)),join(zero,meet(one,complement(composition(top,zero))))) )],[refute_0_2888,refute_0_3212]) ).
cnf(refute_0_3214,plain,
join(zero,join(meet(one,complement(composition(top,zero))),X2)) = join(join(zero,meet(one,complement(composition(top,zero)))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(zero)),bind(X1,$fot(meet(one,complement(composition(top,zero)))))]]) ).
cnf(refute_0_3215,plain,
( join(zero,join(meet(one,complement(composition(top,zero))),X2)) != join(join(zero,meet(one,complement(composition(top,zero)))),X2)
| join(zero,meet(one,complement(composition(top,zero)))) != one
| join(zero,join(meet(one,complement(composition(top,zero))),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(one,complement(composition(top,zero))),X2)),join(join(zero,meet(one,complement(composition(top,zero)))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3216,plain,
( join(zero,join(meet(one,complement(composition(top,zero))),X2)) != join(join(zero,meet(one,complement(composition(top,zero)))),X2)
| join(zero,join(meet(one,complement(composition(top,zero))),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(top,zero)))),one) )],[refute_0_3210,refute_0_3215]) ).
cnf(refute_0_3217,plain,
join(zero,join(meet(one,complement(composition(top,zero))),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(zero,join(meet(one,complement(composition(top,zero))),X2)),join(join(zero,meet(one,complement(composition(top,zero)))),X2)) )],[refute_0_3214,refute_0_3216]) ).
cnf(refute_0_3218,plain,
join(zero,join(meet(one,complement(composition(top,zero))),zero)) = join(one,zero),
inference(subst,[],[refute_0_3217:[bind(X2,$fot(zero))]]) ).
cnf(refute_0_3219,plain,
( join(zero,join(meet(one,complement(composition(top,zero))),zero)) != join(one,zero)
| join(zero,join(meet(one,complement(composition(top,zero))),zero)) != one
| join(one,zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(one,complement(composition(top,zero))),zero)),one) ),[0],$fot(join(one,zero))]]) ).
cnf(refute_0_3220,plain,
( join(zero,join(meet(one,complement(composition(top,zero))),zero)) != one
| join(one,zero) = one ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(one,complement(composition(top,zero))),zero)),join(one,zero)) )],[refute_0_3218,refute_0_3219]) ).
cnf(refute_0_3221,plain,
join(one,zero) = one,
inference(resolve,[$cnf( $equal(join(zero,join(meet(one,complement(composition(top,zero))),zero)),one) )],[refute_0_3213,refute_0_3220]) ).
cnf(refute_0_3222,plain,
( join(one,join(zero,X2)) != join(join(one,zero),X2)
| join(one,zero) != one
| join(one,join(zero,X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(zero,X2)),join(join(one,zero),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3223,plain,
( join(one,join(zero,X2)) != join(join(one,zero),X2)
| join(one,join(zero,X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_3221,refute_0_3222]) ).
cnf(refute_0_3224,plain,
join(one,join(zero,X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(one,join(zero,X2)),join(join(one,zero),X2)) )],[refute_0_2887,refute_0_3223]) ).
cnf(refute_0_3225,plain,
join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3224:[bind(X2,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3226,plain,
( join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| top != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| top = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) ),[1],$fot(join(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3227,plain,
( top != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| top = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3225,refute_0_3226]) ).
cnf(refute_0_3228,plain,
top = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(top,join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2886,refute_0_3227]) ).
cnf(refute_0_3229,plain,
( top != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,complement(converse(skolemFOFtoCNF_X0))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3230,plain,
join(one,complement(converse(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3228,refute_0_3229]) ).
cnf(refute_0_3231,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| complement(one) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3232,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| complement(one) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3230,refute_0_3231]) ).
cnf(refute_0_3233,plain,
complement(one) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2863,refute_0_3232]) ).
cnf(refute_0_3234,plain,
join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3235,plain,
join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3236,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3237,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3235,refute_0_3236]) ).
cnf(refute_0_3238,plain,
join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3237]) ).
cnf(refute_0_3239,plain,
( join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3240,plain,
( join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3238,refute_0_3239]) ).
cnf(refute_0_3241,plain,
join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3234,refute_0_3240]) ).
cnf(refute_0_3242,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3243,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3241,refute_0_3242]) ).
cnf(refute_0_3244,plain,
complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3233,refute_0_3243]) ).
cnf(refute_0_3245,plain,
( complement(one) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3246,plain,
meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3244,refute_0_3245]) ).
cnf(refute_0_3247,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(one)
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_3248,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_3246,refute_0_3247]) ).
cnf(refute_0_3249,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(converse(skolemFOFtoCNF_X0)),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2862,refute_0_3248]) ).
cnf(refute_0_3250,plain,
join(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(meet(one,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3251,plain,
join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) = join(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_3252,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) != join(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(one,converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) = complement(meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(skolemFOFtoCNF_X0)),complement(one)))),bind(Y,$fot(join(complement(one),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(one,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3253,plain,
( join(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(meet(one,converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) = complement(meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),complement(one)),join(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3251,refute_0_3252]) ).
cnf(refute_0_3254,plain,
join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) = complement(meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(skolemFOFtoCNF_X0))),complement(meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_3250,refute_0_3253]) ).
cnf(refute_0_3255,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(converse(skolemFOFtoCNF_X0)),complement(one))
| join(complement(converse(skolemFOFtoCNF_X0)),complement(one)) != complement(meet(one,converse(skolemFOFtoCNF_X0)))
| complement(converse(skolemFOFtoCNF_X0)) = complement(meet(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),complement(meet(one,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(converse(skolemFOFtoCNF_X0)),complement(one)))]]) ).
cnf(refute_0_3256,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(converse(skolemFOFtoCNF_X0)),complement(one))
| complement(converse(skolemFOFtoCNF_X0)) = complement(meet(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),complement(one)),complement(meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_3254,refute_0_3255]) ).
cnf(refute_0_3257,plain,
complement(converse(skolemFOFtoCNF_X0)) = complement(meet(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(converse(skolemFOFtoCNF_X0)),complement(one))) )],[refute_0_3249,refute_0_3256]) ).
cnf(refute_0_3258,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(meet(one,converse(skolemFOFtoCNF_X0)))
| complement(meet(one,converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(meet(one,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3259,plain,
complement(meet(one,converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(meet(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_3257,refute_0_3258]) ).
cnf(refute_0_3260,plain,
( complement(meet(one,converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| meet(one,converse(skolemFOFtoCNF_X0)) != complement(complement(meet(one,converse(skolemFOFtoCNF_X0))))
| meet(one,converse(skolemFOFtoCNF_X0)) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3261,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != complement(complement(meet(one,converse(skolemFOFtoCNF_X0))))
| meet(one,converse(skolemFOFtoCNF_X0)) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_3259,refute_0_3260]) ).
cnf(refute_0_3262,plain,
meet(one,converse(skolemFOFtoCNF_X0)) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,converse(skolemFOFtoCNF_X0))))) )],[refute_0_2861,refute_0_3261]) ).
cnf(refute_0_3263,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3264,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(one,converse(skolemFOFtoCNF_X0)) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3265,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != complement(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_3263,refute_0_3264]) ).
cnf(refute_0_3266,plain,
meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3262,refute_0_3265]) ).
cnf(refute_0_3267,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| one != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3268,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( $equal(meet(one,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_3266,refute_0_3267]) ).
cnf(refute_0_3269,plain,
one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2860,refute_0_3268]) ).
cnf(refute_0_3270,plain,
( one != join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3271,plain,
join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3269,refute_0_3270]) ).
cnf(refute_0_3272,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one) ),
introduced(tautology,[equality,[$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_3273,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( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_3271,refute_0_3272]) ).
cnf(refute_0_3274,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2859,refute_0_3273]) ).
cnf(refute_0_3275,plain,
converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3276,plain,
( converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3277,plain,
( converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(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( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2859,refute_0_3276]) ).
cnf(refute_0_3278,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_3275,refute_0_3277]) ).
cnf(refute_0_3279,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(one) ),
introduced(tautology,[equality,[$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_3280,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( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_3278,refute_0_3279]) ).
cnf(refute_0_3281,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_3282,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( $equal(converse(one),one) )],[refute_0_81,refute_0_3281]) ).
cnf(refute_0_3283,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(one)) )],[refute_0_3280,refute_0_3282]) ).
cnf(refute_0_3284,plain,
join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(one)) )],[refute_0_3274,refute_0_3283]) ).
cnf(refute_0_3285,plain,
( composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_3286,plain,
( composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_3284,refute_0_3285]) ).
cnf(refute_0_3287,plain,
composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2858,refute_0_3286]) ).
cnf(refute_0_3288,plain,
( composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3289,plain,
( composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2082,refute_0_3288]) ).
cnf(refute_0_3290,plain,
complement(converse(composition(top,skolemFOFtoCNF_X0))) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3287,refute_0_3289]) ).
cnf(refute_0_3291,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3292,plain,
composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3290,refute_0_3291]) ).
cnf(refute_0_3293,plain,
( composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) ),[0,0,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3294,plain,
( composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_3292,refute_0_3293]) ).
cnf(refute_0_3295,plain,
composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0))))),top),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_2857,refute_0_3294]) ).
cnf(refute_0_3296,plain,
join(composition(X_145,X_146),composition(X_144,X_146)) = join(composition(X_144,X_146),composition(X_145,X_146)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(composition(X_145,X_146))),bind(X1,$fot(composition(X_144,X_146)))]]) ).
cnf(refute_0_3297,plain,
composition(join(X_144,X_145),X_146) = join(composition(X_144,X_146),composition(X_145,X_146)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(X_145)),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_3298,plain,
( composition(join(X_144,X_145),X_146) != join(composition(X_144,X_146),composition(X_145,X_146))
| join(composition(X_144,X_146),composition(X_145,X_146)) = composition(join(X_144,X_145),X_146) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_144,X_145),X_146))),bind(Y,$fot(join(composition(X_144,X_146),composition(X_145,X_146))))]]) ).
cnf(refute_0_3299,plain,
join(composition(X_144,X_146),composition(X_145,X_146)) = composition(join(X_144,X_145),X_146),
inference(resolve,[$cnf( $equal(composition(join(X_144,X_145),X_146),join(composition(X_144,X_146),composition(X_145,X_146))) )],[refute_0_3297,refute_0_3298]) ).
cnf(refute_0_3300,plain,
( join(composition(X_144,X_146),composition(X_145,X_146)) != composition(join(X_144,X_145),X_146)
| join(composition(X_145,X_146),composition(X_144,X_146)) != join(composition(X_144,X_146),composition(X_145,X_146))
| join(composition(X_145,X_146),composition(X_144,X_146)) = composition(join(X_144,X_145),X_146) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_145,X_146),composition(X_144,X_146)),join(composition(X_144,X_146),composition(X_145,X_146))) ),[1],$fot(composition(join(X_144,X_145),X_146))]]) ).
cnf(refute_0_3301,plain,
( join(composition(X_145,X_146),composition(X_144,X_146)) != join(composition(X_144,X_146),composition(X_145,X_146))
| join(composition(X_145,X_146),composition(X_144,X_146)) = composition(join(X_144,X_145),X_146) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_146),composition(X_145,X_146)),composition(join(X_144,X_145),X_146)) )],[refute_0_3299,refute_0_3300]) ).
cnf(refute_0_3302,plain,
join(composition(X_145,X_146),composition(X_144,X_146)) = composition(join(X_144,X_145),X_146),
inference(resolve,[$cnf( $equal(join(composition(X_145,X_146),composition(X_144,X_146)),join(composition(X_144,X_146),composition(X_145,X_146))) )],[refute_0_3296,refute_0_3301]) ).
cnf(refute_0_3303,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_3304,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_715,refute_0_3303]) ).
cnf(refute_0_3305,plain,
join(composition(X_145,X_146),composition(X_144,X_146)) = composition(join(X_145,X_144),X_146),
inference(subst,[],[refute_0_3304:[bind(X0,$fot(X_145)),bind(X1,$fot(X_144)),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_3306,plain,
( join(composition(X_145,X_146),composition(X_144,X_146)) != composition(join(X_144,X_145),X_146)
| join(composition(X_145,X_146),composition(X_144,X_146)) != composition(join(X_145,X_144),X_146)
| composition(join(X_145,X_144),X_146) = composition(join(X_144,X_145),X_146) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_145,X_146),composition(X_144,X_146)),composition(join(X_144,X_145),X_146)) ),[0],$fot(composition(join(X_145,X_144),X_146))]]) ).
cnf(refute_0_3307,plain,
( join(composition(X_145,X_146),composition(X_144,X_146)) != composition(join(X_144,X_145),X_146)
| composition(join(X_145,X_144),X_146) = composition(join(X_144,X_145),X_146) ),
inference(resolve,[$cnf( $equal(join(composition(X_145,X_146),composition(X_144,X_146)),composition(join(X_145,X_144),X_146)) )],[refute_0_3305,refute_0_3306]) ).
cnf(refute_0_3308,plain,
composition(join(X_145,X_144),X_146) = composition(join(X_144,X_145),X_146),
inference(resolve,[$cnf( $equal(join(composition(X_145,X_146),composition(X_144,X_146)),composition(join(X_144,X_145),X_146)) )],[refute_0_3302,refute_0_3307]) ).
cnf(refute_0_3309,plain,
( composition(join(X_145,X_144),X_146) != composition(join(X_144,X_145),X_146)
| composition(join(X_144,X_145),X_146) = composition(join(X_145,X_144),X_146) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_145,X_144),X_146))),bind(Y,$fot(composition(join(X_144,X_145),X_146)))]]) ).
cnf(refute_0_3310,plain,
composition(join(X_144,X_145),X_146) = composition(join(X_145,X_144),X_146),
inference(resolve,[$cnf( $equal(composition(join(X_145,X_144),X_146),composition(join(X_144,X_145),X_146)) )],[refute_0_3308,refute_0_3309]) ).
cnf(refute_0_3311,plain,
composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) = composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top),
inference(subst,[],[refute_0_3310:[bind(X_144,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_145,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_146,$fot(top))]]) ).
cnf(refute_0_3312,plain,
( composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)
| composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) ),[0],$fot(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top))]]) ).
cnf(refute_0_3313,plain,
( composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) = composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_3311,refute_0_3312]) ).
cnf(refute_0_3314,plain,
composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) = converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3315,plain,
( composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) != converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) = converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) ),[1],$fot(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3316,plain,
( composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) = converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top),converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_3314,refute_0_3315]) ).
cnf(refute_0_3317,plain,
( composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) = converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_3313,refute_0_3316]) ).
cnf(refute_0_3318,plain,
composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) = converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),composition(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_3295,refute_0_3317]) ).
cnf(refute_0_3319,plain,
( composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) != converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)))) != complement(top)
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)))),complement(top)) ),[0,1,1,0],$fot(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3320,plain,
( join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)))) != complement(top)
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top),converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_3318,refute_0_3319]) ).
cnf(refute_0_3321,plain,
join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top)))),complement(top)) )],[refute_0_2856,refute_0_3320]) ).
cnf(refute_0_3322,plain,
join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3323,plain,
composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_145,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3324,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_20,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3325,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3326,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3327,plain,
( converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_3325,refute_0_3326]) ).
cnf(refute_0_3328,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2103,refute_0_3327]) ).
cnf(refute_0_3329,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3330,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_3328,refute_0_3329]) ).
cnf(refute_0_3331,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3324,refute_0_3330]) ).
cnf(refute_0_3332,plain,
join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(X_20,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3333,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_400:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_4,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3334,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3335,plain,
( join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3333,refute_0_3334]) ).
cnf(refute_0_3336,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_3332,refute_0_3335]) ).
cnf(refute_0_3337,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3338,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_3336,refute_0_3337]) ).
cnf(refute_0_3339,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(composition(top,skolemFOFtoCNF_X0))))),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3331,refute_0_3338]) ).
cnf(refute_0_3340,plain,
composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3341,plain,
( composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3342,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3340,refute_0_3341]) ).
cnf(refute_0_3343,plain,
composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3339,refute_0_3342]) ).
cnf(refute_0_3344,plain,
( composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3345,plain,
( composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3343,refute_0_3344]) ).
cnf(refute_0_3346,plain,
composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3323,refute_0_3345]) ).
cnf(refute_0_3347,plain,
join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3348,plain,
( composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3349,plain,
( composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3347,refute_0_3348]) ).
cnf(refute_0_3350,plain,
join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3346,refute_0_3349]) ).
cnf(refute_0_3351,plain,
join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3352,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3353,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3351,refute_0_3352]) ).
cnf(refute_0_3354,plain,
join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3353]) ).
cnf(refute_0_3355,plain,
( join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_3356,plain,
( join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3354,refute_0_3355]) ).
cnf(refute_0_3357,plain,
join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3350,refute_0_3356]) ).
cnf(refute_0_3358,plain,
( join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_3359,plain,
( join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3322,refute_0_3359]) ).
cnf(refute_0_3361,plain,
( join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(top)
| join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(top)) ),[0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3362,plain,
( join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3360,refute_0_3361]) ).
cnf(refute_0_3363,plain,
( complement(top) != zero
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_3364,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3363]) ).
cnf(refute_0_3365,plain,
( join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(top)) )],[refute_0_3362,refute_0_3364]) ).
cnf(refute_0_3366,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(top)) )],[refute_0_3321,refute_0_3365]) ).
cnf(refute_0_3367,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != zero
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_3368,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_3366,refute_0_3367]) ).
cnf(refute_0_3369,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_2855,refute_0_3368]) ).
cnf(refute_0_3370,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero))
| converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)))]]) ).
cnf(refute_0_3371,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2162,refute_0_3370]) ).
cnf(refute_0_3372,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),zero))) )],[refute_0_3369,refute_0_3371]) ).
cnf(refute_0_3373,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(one,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(one,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) ),[1,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3374,plain,
( converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(one,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_3372,refute_0_3373]) ).
cnf(refute_0_3375,plain,
converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(one,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) )],[refute_0_2854,refute_0_3374]) ).
cnf(refute_0_3376,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_3377,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) ),[1,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3378,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_3372,refute_0_3377]) ).
cnf(refute_0_3379,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) )],[refute_0_3376,refute_0_3378]) ).
cnf(refute_0_3380,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_3381,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) ),[1,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3382,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_3381]) ).
cnf(refute_0_3383,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_3380,refute_0_3382]) ).
cnf(refute_0_3384,plain,
join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
introduced(tautology,[refl,[$fot(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_3385,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = join(X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3386,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = join(X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_3384,refute_0_3385]) ).
cnf(refute_0_3387,plain,
join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = join(X0,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2330,refute_0_3386]) ).
cnf(refute_0_3388,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
introduced(tautology,[refl,[$fot(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))]]) ).
cnf(refute_0_3389,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != join(X0,complement(composition(top,skolemFOFtoCNF_X0)))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) ),[1,0],$fot(join(X0,complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3390,plain,
( join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != join(X0,complement(composition(top,skolemFOFtoCNF_X0)))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_3388,refute_0_3389]) ).
cnf(refute_0_3391,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_3387,refute_0_3390]) ).
cnf(refute_0_3392,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3393,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3391,refute_0_3392]) ).
cnf(refute_0_3394,plain,
converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) = join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3383,refute_0_3393]) ).
cnf(refute_0_3395,plain,
( converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) != join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3396,plain,
join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))),join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3394,refute_0_3395]) ).
cnf(refute_0_3397,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3398,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3396,refute_0_3397]) ).
cnf(refute_0_3399,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(join(X0,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(converse(X0),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3379,refute_0_3398]) ).
cnf(refute_0_3400,plain,
converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3399:[bind(X0,$fot(one))]]) ).
cnf(refute_0_3401,plain,
( converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != converse(join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3402,plain,
( converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),converse(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3400,refute_0_3401]) ).
cnf(refute_0_3403,plain,
converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3375,refute_0_3402]) ).
cnf(refute_0_3404,plain,
( converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3405,plain,
join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),join(one,complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3403,refute_0_3404]) ).
cnf(refute_0_3406,plain,
composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3407,plain,
( composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[1,0],$fot(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3408,plain,
( join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3406,refute_0_3407]) ).
cnf(refute_0_3409,plain,
composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_3405,refute_0_3408]) ).
cnf(refute_0_3410,plain,
composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3411,plain,
join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_146,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3412,plain,
( composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3413,plain,
( composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3411,refute_0_3412]) ).
cnf(refute_0_3414,plain,
join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),one),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3410,refute_0_3413]) ).
cnf(refute_0_3415,plain,
join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X_20,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3416,plain,
( join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3417,plain,
( join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_3415,refute_0_3416]) ).
cnf(refute_0_3418,plain,
join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3414,refute_0_3417]) ).
cnf(refute_0_3419,plain,
( composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3420,plain,
( composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3418,refute_0_3419]) ).
cnf(refute_0_3421,plain,
join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3409,refute_0_3420]) ).
cnf(refute_0_3422,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3423,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
( composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2853,refute_0_3423]) ).
cnf(refute_0_3425,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(join(top,one),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2691,refute_0_3424]) ).
cnf(refute_0_3426,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_711:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X2,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3427,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_3428,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_2688,refute_0_3427]) ).
cnf(refute_0_3429,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3426,refute_0_3428]) ).
cnf(refute_0_3430,plain,
composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X2,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3431,plain,
( composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_3432,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_3430,refute_0_3431]) ).
cnf(refute_0_3433,plain,
composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2796,refute_0_3432]) ).
cnf(refute_0_3434,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3435,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_3433,refute_0_3434]) ).
cnf(refute_0_3436,plain,
composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_2695,refute_0_3435]) ).
cnf(refute_0_3437,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3438,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3436,refute_0_3437]) ).
cnf(refute_0_3439,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3429,refute_0_3438]) ).
cnf(refute_0_3440,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3441,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3439,refute_0_3440]) ).
cnf(refute_0_3442,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_3443,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_3441,refute_0_3442]) ).
cnf(refute_0_3444,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3425,refute_0_3443]) ).
cnf(refute_0_3445,plain,
converse(converse(composition(top,join(one,X_152)))) = composition(top,join(one,X_152)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,join(one,X_152))))]]) ).
cnf(refute_0_3446,plain,
join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) = complement(zero),
inference(subst,[],[refute_0_55:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_3447,plain,
( composition(X0,zero) != zero
| join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))),complement(zero)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3448,plain,
( join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(composition(X0,zero),zero) )],[refute_0_1888,refute_0_3447]) ).
cnf(refute_0_3449,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))),complement(zero)) )],[refute_0_3446,refute_0_3448]) ).
cnf(refute_0_3450,plain,
composition(converse(join(one,X0)),top) = converse(composition(top,join(one,X0))),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(join(one,X0)))]]) ).
cnf(refute_0_3451,plain,
composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(join(one,X0)),complement(zero)))]]) ).
cnf(refute_0_3452,plain,
( complement(zero) != top
| composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),complement(zero))
| composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3453,plain,
( complement(zero) != top
| composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) )],[refute_0_3451,refute_0_3452]) ).
cnf(refute_0_3454,plain,
composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_3453]) ).
cnf(refute_0_3455,plain,
join(one,converse(X0)) = converse(join(one,X0)),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(X0))]]) ).
cnf(refute_0_3456,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X0)),complement(zero)))]]) ).
cnf(refute_0_3457,plain,
( composition(join(one,converse(X0)),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(one,converse(X0)) != converse(join(one,X0))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(join(one,converse(X0)),complement(zero))) ),[1,0],$fot(converse(join(one,X0)))]]) ).
cnf(refute_0_3458,plain,
( join(one,converse(X0)) != converse(join(one,X0))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_3456,refute_0_3457]) ).
cnf(refute_0_3459,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)),
inference(resolve,[$cnf( $equal(join(one,converse(X0)),converse(join(one,X0))) )],[refute_0_3455,refute_0_3458]) ).
cnf(refute_0_3460,plain,
( composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),complement(zero))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,X0)),complement(zero)))),bind(Z,$fot(composition(converse(join(one,X0)),top)))]]) ).
cnf(refute_0_3461,plain,
( composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) )],[refute_0_3459,refute_0_3460]) ).
cnf(refute_0_3462,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_3454,refute_0_3461]) ).
cnf(refute_0_3463,plain,
( composition(converse(join(one,X0)),top) != converse(composition(top,join(one,X0)))
| composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,X0)),top))),bind(Z,$fot(converse(composition(top,join(one,X0)))))]]) ).
cnf(refute_0_3464,plain,
( composition(converse(join(one,X0)),top) != converse(composition(top,join(one,X0)))
| composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_3462,refute_0_3463]) ).
cnf(refute_0_3465,plain,
composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),top),converse(composition(top,join(one,X0)))) )],[refute_0_3450,refute_0_3464]) ).
cnf(refute_0_3466,plain,
composition(join(converse(X0),one),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
inference(subst,[],[refute_0_3310:[bind(X_144,$fot(converse(X0))),bind(X_145,$fot(one)),bind(X_146,$fot(complement(zero)))]]) ).
cnf(refute_0_3467,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(converse(X0),one),complement(zero)),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(converse(X0))),bind(X_146,$fot(complement(zero)))]]) ).
cnf(refute_0_3468,plain,
( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(converse(X0),one),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(converse(X0),one),complement(zero)))),bind(Z,$fot(composition(join(one,converse(X0)),complement(zero))))]]) ).
cnf(refute_0_3469,plain,
( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(converse(X0),one),complement(zero))) )],[refute_0_3467,refute_0_3468]) ).
cnf(refute_0_3470,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),one),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_3466,refute_0_3469]) ).
cnf(refute_0_3471,plain,
( composition(join(one,converse(X0)),complement(zero)) != converse(composition(top,join(one,X0)))
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Z,$fot(converse(composition(top,join(one,X0)))))]]) ).
cnf(refute_0_3472,plain,
( composition(join(one,converse(X0)),complement(zero)) != converse(composition(top,join(one,X0)))
| join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_3470,refute_0_3471]) ).
cnf(refute_0_3473,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),converse(composition(top,join(one,X0)))) )],[refute_0_3465,refute_0_3472]) ).
cnf(refute_0_3474,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) != converse(composition(top,join(one,X0)))
| converse(composition(top,join(one,X0))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) ),[0],$fot(converse(composition(top,join(one,X0))))]]) ).
cnf(refute_0_3475,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| converse(composition(top,join(one,X0))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),converse(composition(top,join(one,X0)))) )],[refute_0_3473,refute_0_3474]) ).
cnf(refute_0_3476,plain,
( complement(zero) != top
| converse(composition(top,join(one,X0))) != complement(zero)
| converse(composition(top,join(one,X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,X0))),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_3477,plain,
( converse(composition(top,join(one,X0))) != complement(zero)
| converse(composition(top,join(one,X0))) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_3476]) ).
cnf(refute_0_3478,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| converse(composition(top,join(one,X0))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,X0))),complement(zero)) )],[refute_0_3475,refute_0_3477]) ).
cnf(refute_0_3479,plain,
converse(composition(top,join(one,X0))) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) )],[refute_0_3449,refute_0_3478]) ).
cnf(refute_0_3480,plain,
converse(composition(top,join(one,X_152))) = top,
inference(subst,[],[refute_0_3479:[bind(X0,$fot(X_152))]]) ).
cnf(refute_0_3481,plain,
( converse(composition(top,join(one,X_152))) != top
| converse(converse(composition(top,join(one,X_152)))) != composition(top,join(one,X_152))
| converse(top) = composition(top,join(one,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,join(one,X_152)))),composition(top,join(one,X_152))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3482,plain,
( converse(converse(composition(top,join(one,X_152)))) != composition(top,join(one,X_152))
| converse(top) = composition(top,join(one,X_152)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,X_152))),top) )],[refute_0_3480,refute_0_3481]) ).
cnf(refute_0_3483,plain,
converse(top) = composition(top,join(one,X_152)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,join(one,X_152)))),composition(top,join(one,X_152))) )],[refute_0_3445,refute_0_3482]) ).
cnf(refute_0_3484,plain,
( converse(top) != composition(top,join(one,X_152))
| converse(top) != top
| top = composition(top,join(one,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),composition(top,join(one,X_152))) ),[0],$fot(top)]]) ).
cnf(refute_0_3485,plain,
( converse(top) != composition(top,join(one,X_152))
| top = composition(top,join(one,X_152)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_3484]) ).
cnf(refute_0_3486,plain,
top = composition(top,join(one,X_152)),
inference(resolve,[$cnf( $equal(converse(top),composition(top,join(one,X_152))) )],[refute_0_3483,refute_0_3485]) ).
cnf(refute_0_3487,plain,
( top != composition(top,join(one,X_152))
| composition(top,join(one,X_152)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(composition(top,join(one,X_152))))]]) ).
cnf(refute_0_3488,plain,
composition(top,join(one,X_152)) = top,
inference(resolve,[$cnf( $equal(top,composition(top,join(one,X_152))) )],[refute_0_3486,refute_0_3487]) ).
cnf(refute_0_3489,plain,
composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_3488:[bind(X_152,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3490,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3491,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3492,plain,
( composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_3490,refute_0_3491]) ).
cnf(refute_0_3493,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))),top) )],[refute_0_3489,refute_0_3492]) ).
cnf(refute_0_3494,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3495,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_3496,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_3494,refute_0_3495]) ).
cnf(refute_0_3497,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_3493,refute_0_3496]) ).
cnf(refute_0_3498,plain,
converse(composition(join(converse(X0),X_5),X_12)) = composition(converse(X_12),converse(join(converse(X0),X_5))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(join(converse(X0),X_5))),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_3499,plain,
( converse(composition(join(converse(X0),X_5),X_12)) != composition(converse(X_12),converse(join(converse(X0),X_5)))
| converse(join(converse(X0),X_5)) != join(X0,converse(X_5))
| converse(composition(join(converse(X0),X_5),X_12)) = composition(converse(X_12),join(X0,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X0),X_5),X_12)),composition(converse(X_12),converse(join(converse(X0),X_5)))) ),[1,1],$fot(join(X0,converse(X_5)))]]) ).
cnf(refute_0_3500,plain,
( converse(composition(join(converse(X0),X_5),X_12)) != composition(converse(X_12),converse(join(converse(X0),X_5)))
| converse(composition(join(converse(X0),X_5),X_12)) = composition(converse(X_12),join(X0,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(X0,converse(X_5))) )],[refute_0_272,refute_0_3499]) ).
cnf(refute_0_3501,plain,
converse(composition(join(converse(X0),X_5),X_12)) = composition(converse(X_12),join(X0,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X0),X_5),X_12)),composition(converse(X_12),converse(join(converse(X0),X_5)))) )],[refute_0_3498,refute_0_3500]) ).
cnf(refute_0_3502,plain,
converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) = composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_3501:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(X_5,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_3503,plain,
join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_3504,plain,
zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))),
inference(subst,[],[refute_0_1791:[bind(X_256,$fot(complement(one))),bind(X_292,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3505,plain,
join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) = complement(one),
inference(subst,[],[refute_0_2895:[bind(X_23,$fot(converse(X0)))]]) ).
cnf(refute_0_3506,plain,
( converse(converse(X0)) != X0
| join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
| join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_3507,plain,
( join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) != complement(one)
| join(complement(one),composition(X0,complement(converse(X0)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_3506]) ).
cnf(refute_0_3508,plain,
join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) )],[refute_0_3505,refute_0_3507]) ).
cnf(refute_0_3509,plain,
join(complement(one),composition(composition(X0,X1),complement(converse(composition(X0,X1))))) = complement(one),
inference(subst,[],[refute_0_3508:[bind(X0,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_3510,plain,
composition(X0,composition(X1,complement(converse(composition(X0,X1))))) = composition(composition(X0,X1),complement(converse(composition(X0,X1)))),
inference(subst,[],[refute_0_711:[bind(X2,$fot(complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_3511,plain,
( composition(X0,composition(X1,complement(converse(composition(X0,X1))))) != composition(composition(X0,X1),complement(converse(composition(X0,X1))))
| composition(composition(X0,X1),complement(converse(composition(X0,X1)))) = composition(X0,composition(X1,complement(converse(composition(X0,X1))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X0,composition(X1,complement(converse(composition(X0,X1))))))),bind(Y,$fot(composition(composition(X0,X1),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_3512,plain,
composition(composition(X0,X1),complement(converse(composition(X0,X1)))) = composition(X0,composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(converse(composition(X0,X1))))),composition(composition(X0,X1),complement(converse(composition(X0,X1))))) )],[refute_0_3510,refute_0_3511]) ).
cnf(refute_0_3513,plain,
( composition(composition(X0,X1),complement(converse(composition(X0,X1)))) != composition(X0,composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(one),composition(composition(X0,X1),complement(converse(composition(X0,X1))))) != complement(one)
| join(complement(one),composition(X0,composition(X1,complement(converse(composition(X0,X1)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(composition(X0,X1),complement(converse(composition(X0,X1))))),complement(one)) ),[0,1],$fot(composition(X0,composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_3514,plain,
( join(complement(one),composition(composition(X0,X1),complement(converse(composition(X0,X1))))) != complement(one)
| join(complement(one),composition(X0,composition(X1,complement(converse(composition(X0,X1)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),complement(converse(composition(X0,X1)))),composition(X0,composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_3512,refute_0_3513]) ).
cnf(refute_0_3515,plain,
join(complement(one),composition(X0,composition(X1,complement(converse(composition(X0,X1)))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(composition(X0,X1),complement(converse(composition(X0,X1))))),complement(one)) )],[refute_0_3509,refute_0_3514]) ).
cnf(refute_0_3516,plain,
join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) = complement(one),
inference(subst,[],[refute_0_3515:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3517,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))) != zero
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) != complement(one)
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),complement(one)) ),[0,1,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3518,plain,
( join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))) != complement(one)
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0))))),zero) )],[refute_0_2284,refute_0_3517]) ).
cnf(refute_0_3519,plain,
join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))))))))),complement(one)) )],[refute_0_3516,refute_0_3518]) ).
cnf(refute_0_3520,plain,
composition(top,complement(converse(zero))) = composition(top,complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(zero))))]]) ).
cnf(refute_0_3521,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) != composition(top,complement(converse(zero)))
| composition(top,complement(converse(zero))) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3522,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) )],[refute_0_3520,refute_0_3521]) ).
cnf(refute_0_3523,plain,
composition(top,complement(converse(zero))) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_3522]) ).
cnf(refute_0_3524,plain,
( composition(top,complement(converse(zero))) != composition(top,top)
| composition(top,top) != top
| composition(top,complement(converse(zero))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(converse(zero))))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3525,plain,
( composition(top,top) != top
| composition(top,complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,top)) )],[refute_0_3523,refute_0_3524]) ).
cnf(refute_0_3526,plain,
composition(top,complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_800,refute_0_3525]) ).
cnf(refute_0_3527,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))))]]) ).
cnf(refute_0_3528,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))
| composition(top,complement(converse(zero))) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3529,plain,
( composition(top,complement(converse(zero))) != top
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))) )],[refute_0_3527,refute_0_3528]) ).
cnf(refute_0_3530,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),top) )],[refute_0_3526,refute_0_3529]) ).
cnf(refute_0_3531,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))),
inference(subst,[],[refute_0_2795:[bind(X_14,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_3532,plain,
composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X2,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_3533,plain,
( composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero))))
| composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),bind(Y,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero)))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))))]]) ).
cnf(refute_0_3534,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero))))) )],[refute_0_3532,refute_0_3533]) ).
cnf(refute_0_3535,plain,
composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))) )],[refute_0_3531,refute_0_3534]) ).
cnf(refute_0_3536,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3537,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero))))) )],[refute_0_3535,refute_0_3536]) ).
cnf(refute_0_3538,plain,
composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_3530,refute_0_3537]) ).
cnf(refute_0_3539,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))))]]) ).
cnf(refute_0_3540,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))
| composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_3541,plain,
( composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) )],[refute_0_3539,refute_0_3540]) ).
cnf(refute_0_3542,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_3538,refute_0_3541]) ).
cnf(refute_0_3543,plain,
join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))))]]) ).
cnf(refute_0_3544,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) != join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))))
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))))) ),[1,1],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_3545,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))))) )],[refute_0_3543,refute_0_3544]) ).
cnf(refute_0_3546,plain,
join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) = join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero)))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3542,refute_0_3545]) ).
cnf(refute_0_3547,plain,
( join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) != complement(one)
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) != join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),complement(one)) ),[0],$fot(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_3548,plain,
( join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))) != complement(one)
| join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_3546,refute_0_3547]) ).
cnf(refute_0_3549,plain,
join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(top,complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(converse(zero))))),complement(one)) )],[refute_0_3519,refute_0_3548]) ).
cnf(refute_0_3550,plain,
( join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(one)
| zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))))
| zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))))) ),[1,1,0,0,1],$fot(complement(one))]]) ).
cnf(refute_0_3551,plain,
( zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))))
| zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(one)) )],[refute_0_3549,refute_0_3550]) ).
cnf(refute_0_3552,plain,
zero = composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,join(complement(one),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))))) )],[refute_0_3504,refute_0_3551]) ).
cnf(refute_0_3553,plain,
converse(converse(composition(complement(one),top))) = composition(complement(one),top),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3554,plain,
converse(composition(converse(complement(one)),X_12)) = composition(converse(X_12),complement(one)),
inference(subst,[],[refute_0_62:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_3555,plain,
( converse(complement(one)) != complement(one)
| converse(composition(converse(complement(one)),X_12)) != composition(converse(X_12),complement(one))
| converse(composition(complement(one),X_12)) = composition(converse(X_12),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(one)),X_12)),composition(converse(X_12),complement(one))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_3556,plain,
( converse(composition(converse(complement(one)),X_12)) != composition(converse(X_12),complement(one))
| converse(composition(complement(one),X_12)) = composition(converse(X_12),complement(one)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_3555]) ).
cnf(refute_0_3557,plain,
converse(composition(complement(one),X_12)) = composition(converse(X_12),complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(one)),X_12)),composition(converse(X_12),complement(one))) )],[refute_0_3554,refute_0_3556]) ).
cnf(refute_0_3558,plain,
converse(composition(complement(one),top)) = composition(converse(top),complement(one)),
inference(subst,[],[refute_0_3557:[bind(X_12,$fot(top))]]) ).
cnf(refute_0_3559,plain,
( converse(composition(complement(one),top)) != composition(converse(top),complement(one))
| converse(top) != top
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),top)),composition(converse(top),complement(one))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3560,plain,
( converse(composition(complement(one),top)) != composition(converse(top),complement(one))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_3559]) ).
cnf(refute_0_3561,plain,
converse(composition(complement(one),top)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(converse(top),complement(one))) )],[refute_0_3558,refute_0_3560]) ).
cnf(refute_0_3562,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(converse(composition(complement(one),top))) != composition(complement(one),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(one),top))),composition(complement(one),top)) ),[0,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3563,plain,
( converse(converse(composition(complement(one),top))) != composition(complement(one),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_3561,refute_0_3562]) ).
cnf(refute_0_3564,plain,
converse(composition(top,complement(one))) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3553,refute_0_3563]) ).
cnf(refute_0_3565,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(composition(join(X_218,one),complement(composition(complement(one),top)))))) = complement(complement(composition(complement(one),top))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(X_218,one))),bind(X1,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3566,plain,
composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(join(complement(one),X_165),complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(join(complement(one),X_165))),bind(X_146,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3567,plain,
composition(join(complement(one),X_145),complement(composition(complement(one),top))) = join(composition(complement(one),complement(composition(complement(one),top))),composition(X_145,complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(complement(one))),bind(X1,$fot(X_145)),bind(X2,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3568,plain,
composition(converse(complement(one)),complement(composition(complement(one),top))) = zero,
inference(subst,[],[refute_0_727:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_3569,plain,
( composition(converse(complement(one)),complement(composition(complement(one),top))) != zero
| converse(complement(one)) != complement(one)
| composition(complement(one),complement(composition(complement(one),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(one)),complement(composition(complement(one),top))),zero) ),[0,0],$fot(complement(one))]]) ).
cnf(refute_0_3570,plain,
( composition(converse(complement(one)),complement(composition(complement(one),top))) != zero
| composition(complement(one),complement(composition(complement(one),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_3569]) ).
cnf(refute_0_3571,plain,
composition(complement(one),complement(composition(complement(one),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(composition(complement(one),top))),zero) )],[refute_0_3568,refute_0_3570]) ).
cnf(refute_0_3572,plain,
( composition(complement(one),complement(composition(complement(one),top))) != zero
| composition(join(complement(one),X_145),complement(composition(complement(one),top))) != join(composition(complement(one),complement(composition(complement(one),top))),composition(X_145,complement(composition(complement(one),top))))
| composition(join(complement(one),X_145),complement(composition(complement(one),top))) = join(zero,composition(X_145,complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),X_145),complement(composition(complement(one),top))),join(composition(complement(one),complement(composition(complement(one),top))),composition(X_145,complement(composition(complement(one),top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3573,plain,
( composition(join(complement(one),X_145),complement(composition(complement(one),top))) != join(composition(complement(one),complement(composition(complement(one),top))),composition(X_145,complement(composition(complement(one),top))))
| composition(join(complement(one),X_145),complement(composition(complement(one),top))) = join(zero,composition(X_145,complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(composition(complement(one),top))),zero) )],[refute_0_3571,refute_0_3572]) ).
cnf(refute_0_3574,plain,
composition(join(complement(one),X_145),complement(composition(complement(one),top))) = join(zero,composition(X_145,complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),X_145),complement(composition(complement(one),top))),join(composition(complement(one),complement(composition(complement(one),top))),composition(X_145,complement(composition(complement(one),top))))) )],[refute_0_3567,refute_0_3573]) ).
cnf(refute_0_3575,plain,
join(zero,composition(X_145,complement(composition(complement(one),top)))) = composition(X_145,complement(composition(complement(one),top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(X_145,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3576,plain,
( composition(join(complement(one),X_145),complement(composition(complement(one),top))) != join(zero,composition(X_145,complement(composition(complement(one),top))))
| join(zero,composition(X_145,complement(composition(complement(one),top)))) != composition(X_145,complement(composition(complement(one),top)))
| composition(join(complement(one),X_145),complement(composition(complement(one),top))) = composition(X_145,complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(complement(one),X_145),complement(composition(complement(one),top))),composition(X_145,complement(composition(complement(one),top)))) ),[0],$fot(join(zero,composition(X_145,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3577,plain,
( composition(join(complement(one),X_145),complement(composition(complement(one),top))) != join(zero,composition(X_145,complement(composition(complement(one),top))))
| composition(join(complement(one),X_145),complement(composition(complement(one),top))) = composition(X_145,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_145,complement(composition(complement(one),top)))),composition(X_145,complement(composition(complement(one),top)))) )],[refute_0_3575,refute_0_3576]) ).
cnf(refute_0_3578,plain,
composition(join(complement(one),X_145),complement(composition(complement(one),top))) = composition(X_145,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),X_145),complement(composition(complement(one),top))),join(zero,composition(X_145,complement(composition(complement(one),top))))) )],[refute_0_3574,refute_0_3577]) ).
cnf(refute_0_3579,plain,
composition(join(complement(one),X_165),complement(composition(complement(one),top))) = composition(X_165,complement(composition(complement(one),top))),
inference(subst,[],[refute_0_3578:[bind(X_145,$fot(X_165))]]) ).
cnf(refute_0_3580,plain,
( composition(join(complement(one),X_165),complement(composition(complement(one),top))) != composition(X_165,complement(composition(complement(one),top)))
| composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(join(complement(one),X_165),complement(composition(complement(one),top))))
| composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(join(complement(one),X_165),complement(composition(complement(one),top))))) ),[1,1],$fot(composition(X_165,complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3581,plain,
( composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(join(complement(one),X_165),complement(composition(complement(one),top))))
| composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),X_165),complement(composition(complement(one),top))),composition(X_165,complement(composition(complement(one),top)))) )],[refute_0_3579,refute_0_3580]) ).
cnf(refute_0_3582,plain,
composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(join(complement(one),X_165),complement(composition(complement(one),top))))) )],[refute_0_3566,refute_0_3581]) ).
cnf(refute_0_3583,plain,
( join(X_55,join(complement(X_55),X_57)) != join(top,X_57)
| join(top,X_57) != top
| join(X_55,join(complement(X_55),X_57)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,join(complement(X_55),X_57)),top) ),[0],$fot(join(top,X_57))]]) ).
cnf(refute_0_3584,plain,
( join(X_55,join(complement(X_55),X_57)) != join(top,X_57)
| join(X_55,join(complement(X_55),X_57)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_57),top) )],[refute_0_1305,refute_0_3583]) ).
cnf(refute_0_3585,plain,
join(X_55,join(complement(X_55),X_57)) = top,
inference(resolve,[$cnf( $equal(join(X_55,join(complement(X_55),X_57)),join(top,X_57)) )],[refute_0_155,refute_0_3584]) ).
cnf(refute_0_3586,plain,
join(one,join(complement(one),X_165)) = top,
inference(subst,[],[refute_0_3585:[bind(X_55,$fot(one)),bind(X_57,$fot(X_165))]]) ).
cnf(refute_0_3587,plain,
composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) = composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))),
introduced(tautology,[refl,[$fot(composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3588,plain,
( composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) != composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top)))
| join(one,join(complement(one),X_165)) != top
| composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))),composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3589,plain,
( join(one,join(complement(one),X_165)) != top
| composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))),composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top)))) )],[refute_0_3587,refute_0_3588]) ).
cnf(refute_0_3590,plain,
composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(join(one,join(complement(one),X_165)),top) )],[refute_0_3586,refute_0_3589]) ).
cnf(refute_0_3591,plain,
composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = join(X_146,composition(join(converse(complement(composition(X_146,top))),X_161),X_146)),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(join(converse(complement(composition(X_146,top))),X_161)))]]) ).
cnf(refute_0_3592,plain,
composition(join(converse(complement(composition(X_146,top))),X_161),X_146) = composition(X_161,X_146),
inference(subst,[],[refute_0_2725:[bind(X_145,$fot(X_161))]]) ).
cnf(refute_0_3593,plain,
( composition(join(converse(complement(composition(X_146,top))),X_161),X_146) != composition(X_161,X_146)
| composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != join(X_146,composition(join(converse(complement(composition(X_146,top))),X_161),X_146))
| composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = join(X_146,composition(X_161,X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146),join(X_146,composition(join(converse(complement(composition(X_146,top))),X_161),X_146))) ),[1,1],$fot(composition(X_161,X_146))]]) ).
cnf(refute_0_3594,plain,
( composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != join(X_146,composition(join(converse(complement(composition(X_146,top))),X_161),X_146))
| composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = join(X_146,composition(X_161,X_146)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_146,top))),X_161),X_146),composition(X_161,X_146)) )],[refute_0_3592,refute_0_3593]) ).
cnf(refute_0_3595,plain,
composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = join(X_146,composition(X_161,X_146)),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146),join(X_146,composition(join(converse(complement(composition(X_146,top))),X_161),X_146))) )],[refute_0_3591,refute_0_3594]) ).
cnf(refute_0_3596,plain,
composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = join(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X1,X2)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(join(X_159,converse(complement(composition(X2,top))))))]]) ).
cnf(refute_0_3597,plain,
composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = join(composition(X_144,X_146),composition(converse(complement(composition(X_146,top))),X_146)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(converse(complement(composition(X_146,top))))),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_3598,plain,
( composition(converse(complement(composition(X_146,top))),X_146) != zero
| composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) != join(composition(X_144,X_146),composition(converse(complement(composition(X_146,top))),X_146))
| composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = join(composition(X_144,X_146),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,converse(complement(composition(X_146,top)))),X_146),join(composition(X_144,X_146),composition(converse(complement(composition(X_146,top))),X_146))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3599,plain,
( composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) != join(composition(X_144,X_146),composition(converse(complement(composition(X_146,top))),X_146))
| composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = join(composition(X_144,X_146),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_146,top))),X_146),zero) )],[refute_0_2718,refute_0_3598]) ).
cnf(refute_0_3600,plain,
composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = join(composition(X_144,X_146),zero),
inference(resolve,[$cnf( $equal(composition(join(X_144,converse(complement(composition(X_146,top)))),X_146),join(composition(X_144,X_146),composition(converse(complement(composition(X_146,top))),X_146))) )],[refute_0_3597,refute_0_3599]) ).
cnf(refute_0_3601,plain,
join(composition(X_144,X_146),zero) = composition(X_144,X_146),
inference(subst,[],[refute_0_765:[bind(X_97,$fot(composition(X_144,X_146)))]]) ).
cnf(refute_0_3602,plain,
( composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) != join(composition(X_144,X_146),zero)
| join(composition(X_144,X_146),zero) != composition(X_144,X_146)
| composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = composition(X_144,X_146) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_144,converse(complement(composition(X_146,top)))),X_146),composition(X_144,X_146)) ),[0],$fot(join(composition(X_144,X_146),zero))]]) ).
cnf(refute_0_3603,plain,
( composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) != join(composition(X_144,X_146),zero)
| composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = composition(X_144,X_146) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_146),zero),composition(X_144,X_146)) )],[refute_0_3601,refute_0_3602]) ).
cnf(refute_0_3604,plain,
composition(join(X_144,converse(complement(composition(X_146,top)))),X_146) = composition(X_144,X_146),
inference(resolve,[$cnf( $equal(composition(join(X_144,converse(complement(composition(X_146,top)))),X_146),join(composition(X_144,X_146),zero)) )],[refute_0_3600,refute_0_3603]) ).
cnf(refute_0_3605,plain,
composition(join(X_159,converse(complement(composition(X2,top)))),X2) = composition(X_159,X2),
inference(subst,[],[refute_0_3604:[bind(X_144,$fot(X_159)),bind(X_146,$fot(X2))]]) ).
cnf(refute_0_3606,plain,
( composition(join(X_159,converse(complement(composition(X2,top)))),X2) != composition(X_159,X2)
| composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != join(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X1,X2))
| composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_159,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),join(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X1,X2))) ),[1,0],$fot(composition(X_159,X2))]]) ).
cnf(refute_0_3607,plain,
( composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != join(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X1,X2))
| composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_159,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X_159,X2)) )],[refute_0_3605,refute_0_3606]) ).
cnf(refute_0_3608,plain,
composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_159,X2),composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),join(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X1,X2))) )],[refute_0_3596,refute_0_3607]) ).
cnf(refute_0_3609,plain,
join(join(X_159,converse(complement(composition(X2,top)))),X1) = join(X_159,join(converse(complement(composition(X2,top))),X1)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_159)),bind(X1,$fot(converse(complement(composition(X2,top))))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3610,plain,
composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),
introduced(tautology,[refl,[$fot(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2))]]) ).
cnf(refute_0_3611,plain,
( composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2)
| join(join(X_159,converse(complement(composition(X2,top)))),X1) != join(X_159,join(converse(complement(composition(X2,top))),X1))
| composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2)) ),[1,0],$fot(join(X_159,join(converse(complement(composition(X2,top))),X1)))]]) ).
cnf(refute_0_3612,plain,
( join(join(X_159,converse(complement(composition(X2,top)))),X1) != join(X_159,join(converse(complement(composition(X2,top))),X1))
| composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2)) )],[refute_0_3610,refute_0_3611]) ).
cnf(refute_0_3613,plain,
composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2),
inference(resolve,[$cnf( $equal(join(join(X_159,converse(complement(composition(X2,top)))),X1),join(X_159,join(converse(complement(composition(X2,top))),X1))) )],[refute_0_3609,refute_0_3612]) ).
cnf(refute_0_3614,plain,
( composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2)
| composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_159,X2),composition(X1,X2))
| composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) = join(composition(X_159,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),join(composition(X_159,X2),composition(X1,X2))) ),[0],$fot(composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2))]]) ).
cnf(refute_0_3615,plain,
( composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_159,X2),composition(X1,X2))
| composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) = join(composition(X_159,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2)) )],[refute_0_3613,refute_0_3614]) ).
cnf(refute_0_3616,plain,
join(composition(X_159,X2),composition(X1,X2)) = composition(join(X_159,X1),X2),
inference(subst,[],[refute_0_3304:[bind(X0,$fot(X_159))]]) ).
cnf(refute_0_3617,plain,
( composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) != join(composition(X_159,X2),composition(X1,X2))
| join(composition(X_159,X2),composition(X1,X2)) != composition(join(X_159,X1),X2)
| composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_159,X1),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2),composition(join(X_159,X1),X2)) ),[0],$fot(join(composition(X_159,X2),composition(X1,X2)))]]) ).
cnf(refute_0_3618,plain,
( composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) != join(composition(X_159,X2),composition(X1,X2))
| composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_159,X1),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_159,X2),composition(X1,X2)),composition(join(X_159,X1),X2)) )],[refute_0_3616,refute_0_3617]) ).
cnf(refute_0_3619,plain,
( composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_159,X2),composition(X1,X2))
| composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_159,X1),X2) ),
inference(resolve,[$cnf( $equal(composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2),join(composition(X_159,X2),composition(X1,X2))) )],[refute_0_3615,refute_0_3618]) ).
cnf(refute_0_3620,plain,
composition(join(X_159,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_159,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X2,top)))),X1),X2),join(composition(X_159,X2),composition(X1,X2))) )],[refute_0_3608,refute_0_3619]) ).
cnf(refute_0_3621,plain,
composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146) = composition(join(one,X_161),X_146),
inference(subst,[],[refute_0_3620:[bind(X1,$fot(X_161)),bind(X2,$fot(X_146)),bind(X_159,$fot(one))]]) ).
cnf(refute_0_3622,plain,
composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) = join(X_146,composition(join(X_159,converse(complement(composition(X_146,top)))),X_146)),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(join(X_159,converse(complement(composition(X_146,top))))))]]) ).
cnf(refute_0_3623,plain,
composition(join(X_159,converse(complement(composition(X_146,top)))),X_146) = composition(X_159,X_146),
inference(subst,[],[refute_0_3604:[bind(X_144,$fot(X_159))]]) ).
cnf(refute_0_3624,plain,
( composition(join(X_159,converse(complement(composition(X_146,top)))),X_146) != composition(X_159,X_146)
| composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) != join(X_146,composition(join(X_159,converse(complement(composition(X_146,top)))),X_146))
| composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) = join(X_146,composition(X_159,X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146),join(X_146,composition(join(X_159,converse(complement(composition(X_146,top)))),X_146))) ),[1,1],$fot(composition(X_159,X_146))]]) ).
cnf(refute_0_3625,plain,
( composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) != join(X_146,composition(join(X_159,converse(complement(composition(X_146,top)))),X_146))
| composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) = join(X_146,composition(X_159,X_146)) ),
inference(resolve,[$cnf( $equal(composition(join(X_159,converse(complement(composition(X_146,top)))),X_146),composition(X_159,X_146)) )],[refute_0_3623,refute_0_3624]) ).
cnf(refute_0_3626,plain,
composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) = join(X_146,composition(X_159,X_146)),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146),join(X_146,composition(join(X_159,converse(complement(composition(X_146,top)))),X_146))) )],[refute_0_3622,refute_0_3625]) ).
cnf(refute_0_3627,plain,
composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) = composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146),
inference(subst,[],[refute_0_849:[bind(X_154,$fot(join(X_159,converse(complement(composition(X_146,top)))))),bind(X_155,$fot(X_146))]]) ).
cnf(refute_0_3628,plain,
( composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) != composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146)
| composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) != join(X_146,composition(X_159,X_146))
| composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = join(X_146,composition(X_159,X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146),join(X_146,composition(X_159,X_146))) ),[0],$fot(composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146))]]) ).
cnf(refute_0_3629,plain,
( composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) != join(X_146,composition(X_159,X_146))
| composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = join(X_146,composition(X_159,X_146)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146),composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146)) )],[refute_0_3627,refute_0_3628]) ).
cnf(refute_0_3630,plain,
join(X_146,composition(X_159,X_146)) = composition(join(X_159,one),X_146),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(X_159))]]) ).
cnf(refute_0_3631,plain,
( composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) != join(X_146,composition(X_159,X_146))
| join(X_146,composition(X_159,X_146)) != composition(join(X_159,one),X_146)
| composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = composition(join(X_159,one),X_146) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146),composition(join(X_159,one),X_146)) ),[0],$fot(join(X_146,composition(X_159,X_146)))]]) ).
cnf(refute_0_3632,plain,
( composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) != join(X_146,composition(X_159,X_146))
| composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = composition(join(X_159,one),X_146) ),
inference(resolve,[$cnf( $equal(join(X_146,composition(X_159,X_146)),composition(join(X_159,one),X_146)) )],[refute_0_3630,refute_0_3631]) ).
cnf(refute_0_3633,plain,
( composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146) != join(X_146,composition(X_159,X_146))
| composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = composition(join(X_159,one),X_146) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146),join(X_146,composition(X_159,X_146))) )],[refute_0_3629,refute_0_3632]) ).
cnf(refute_0_3634,plain,
composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = composition(join(X_159,one),X_146),
inference(resolve,[$cnf( $equal(composition(join(join(X_159,converse(complement(composition(X_146,top)))),one),X_146),join(X_146,composition(X_159,X_146))) )],[refute_0_3626,refute_0_3633]) ).
cnf(refute_0_3635,plain,
composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(join(X_159,converse(complement(composition(X2,top)))),X2)),
inference(subst,[],[refute_0_715:[bind(X1,$fot(join(X_159,converse(complement(composition(X2,top))))))]]) ).
cnf(refute_0_3636,plain,
( composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(join(X_159,converse(complement(composition(X2,top)))),X2))
| composition(join(X_159,converse(complement(composition(X2,top)))),X2) != composition(X_159,X2)
| composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_159,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(join(X_159,converse(complement(composition(X2,top)))),X2))) ),[1,1],$fot(composition(X_159,X2))]]) ).
cnf(refute_0_3637,plain,
( composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(join(X_159,converse(complement(composition(X2,top)))),X2))
| composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_159,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(X_159,converse(complement(composition(X2,top)))),X2),composition(X_159,X2)) )],[refute_0_3605,refute_0_3636]) ).
cnf(refute_0_3638,plain,
composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_159,X2)),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(join(X_159,converse(complement(composition(X2,top)))),X2))) )],[refute_0_3635,refute_0_3637]) ).
cnf(refute_0_3639,plain,
join(composition(X0,X2),composition(X_159,X2)) = composition(join(X0,X_159),X2),
inference(subst,[],[refute_0_3304:[bind(X1,$fot(X_159))]]) ).
cnf(refute_0_3640,plain,
( composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(X_159,X2))
| join(composition(X0,X2),composition(X_159,X2)) != composition(join(X0,X_159),X2)
| composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_159),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2),composition(join(X0,X_159),X2)) ),[0],$fot(join(composition(X0,X2),composition(X_159,X2)))]]) ).
cnf(refute_0_3641,plain,
( composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(X_159,X2))
| composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_159),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X_159,X2)),composition(join(X0,X_159),X2)) )],[refute_0_3639,refute_0_3640]) ).
cnf(refute_0_3642,plain,
composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_159),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_159,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(X_159,X2))) )],[refute_0_3638,refute_0_3641]) ).
cnf(refute_0_3643,plain,
composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) = composition(join(one,X_159),X_146),
inference(subst,[],[refute_0_3642:[bind(X0,$fot(one)),bind(X2,$fot(X_146))]]) ).
cnf(refute_0_3644,plain,
( composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) != composition(join(X_159,one),X_146)
| composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) != composition(join(one,X_159),X_146)
| composition(join(one,X_159),X_146) = composition(join(X_159,one),X_146) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146),composition(join(X_159,one),X_146)) ),[0],$fot(composition(join(one,X_159),X_146))]]) ).
cnf(refute_0_3645,plain,
( composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146) != composition(join(X_159,one),X_146)
| composition(join(one,X_159),X_146) = composition(join(X_159,one),X_146) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146),composition(join(one,X_159),X_146)) )],[refute_0_3643,refute_0_3644]) ).
cnf(refute_0_3646,plain,
composition(join(one,X_159),X_146) = composition(join(X_159,one),X_146),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_159,converse(complement(composition(X_146,top))))),X_146),composition(join(X_159,one),X_146)) )],[refute_0_3634,refute_0_3645]) ).
cnf(refute_0_3647,plain,
( composition(join(one,X_159),X_146) != composition(join(X_159,one),X_146)
| composition(join(X_159,one),X_146) = composition(join(one,X_159),X_146) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_159),X_146))),bind(Y,$fot(composition(join(X_159,one),X_146)))]]) ).
cnf(refute_0_3648,plain,
composition(join(X_159,one),X_146) = composition(join(one,X_159),X_146),
inference(resolve,[$cnf( $equal(composition(join(one,X_159),X_146),composition(join(X_159,one),X_146)) )],[refute_0_3646,refute_0_3647]) ).
cnf(refute_0_3649,plain,
composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146),
inference(subst,[],[refute_0_3648:[bind(X_159,$fot(join(converse(complement(composition(X_146,top))),X_161)))]]) ).
cnf(refute_0_3650,plain,
( composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146)
| composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146) != composition(join(one,X_161),X_146)
| composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = composition(join(one,X_161),X_146) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146))),bind(Y,$fot(composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146))),bind(Z,$fot(composition(join(one,X_161),X_146)))]]) ).
cnf(refute_0_3651,plain,
( composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146) != composition(join(one,X_161),X_146)
| composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = composition(join(one,X_161),X_146) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146),composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146)) )],[refute_0_3649,refute_0_3650]) ).
cnf(refute_0_3652,plain,
composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) = composition(join(one,X_161),X_146),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(complement(composition(X_146,top))),X_161)),X_146),composition(join(one,X_161),X_146)) )],[refute_0_3621,refute_0_3651]) ).
cnf(refute_0_3653,plain,
( composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != composition(join(one,X_161),X_146)
| composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != join(X_146,composition(X_161,X_146))
| composition(join(one,X_161),X_146) = join(X_146,composition(X_161,X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146),join(X_146,composition(X_161,X_146))) ),[0],$fot(composition(join(one,X_161),X_146))]]) ).
cnf(refute_0_3654,plain,
( composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != join(X_146,composition(X_161,X_146))
| composition(join(one,X_161),X_146) = join(X_146,composition(X_161,X_146)) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146),composition(join(one,X_161),X_146)) )],[refute_0_3652,refute_0_3653]) ).
cnf(refute_0_3655,plain,
join(X_146,composition(X_161,X_146)) = composition(join(X_161,one),X_146),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(X_161))]]) ).
cnf(refute_0_3656,plain,
( composition(join(one,X_161),X_146) != join(X_146,composition(X_161,X_146))
| join(X_146,composition(X_161,X_146)) != composition(join(X_161,one),X_146)
| composition(join(one,X_161),X_146) = composition(join(X_161,one),X_146) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_161),X_146),composition(join(X_161,one),X_146)) ),[0],$fot(join(X_146,composition(X_161,X_146)))]]) ).
cnf(refute_0_3657,plain,
( composition(join(one,X_161),X_146) != join(X_146,composition(X_161,X_146))
| composition(join(one,X_161),X_146) = composition(join(X_161,one),X_146) ),
inference(resolve,[$cnf( $equal(join(X_146,composition(X_161,X_146)),composition(join(X_161,one),X_146)) )],[refute_0_3655,refute_0_3656]) ).
cnf(refute_0_3658,plain,
( composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146) != join(X_146,composition(X_161,X_146))
| composition(join(one,X_161),X_146) = composition(join(X_161,one),X_146) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_161),X_146),join(X_146,composition(X_161,X_146))) )],[refute_0_3654,refute_0_3657]) ).
cnf(refute_0_3659,plain,
composition(join(one,X_161),X_146) = composition(join(X_161,one),X_146),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_146,top))),X_161),one),X_146),join(X_146,composition(X_161,X_146))) )],[refute_0_3595,refute_0_3658]) ).
cnf(refute_0_3660,plain,
( composition(join(one,X_161),X_146) != composition(join(X_161,one),X_146)
| composition(join(X_161,one),X_146) = composition(join(one,X_161),X_146) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_161),X_146))),bind(Y,$fot(composition(join(X_161,one),X_146)))]]) ).
cnf(refute_0_3661,plain,
composition(join(X_161,one),X_146) = composition(join(one,X_161),X_146),
inference(resolve,[$cnf( $equal(composition(join(one,X_161),X_146),composition(join(X_161,one),X_146)) )],[refute_0_3659,refute_0_3660]) ).
cnf(refute_0_3662,plain,
composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_3661:[bind(X_146,$fot(complement(composition(complement(one),top)))),bind(X_161,$fot(join(complement(one),X_165)))]]) ).
cnf(refute_0_3663,plain,
( composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top)))
| composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))))),bind(Y,$fot(composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))))),bind(Z,$fot(composition(top,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3664,plain,
( composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))),composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top)))) )],[refute_0_3662,refute_0_3663]) ).
cnf(refute_0_3665,plain,
composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(join(one,join(complement(one),X_165)),complement(composition(complement(one),top))),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3590,refute_0_3664]) ).
cnf(refute_0_3666,plain,
( composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))
| composition(top,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))) ),[0],$fot(composition(top,complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3667,plain,
( composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))
| composition(top,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3665,refute_0_3666]) ).
cnf(refute_0_3668,plain,
join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))) = composition(join(X_165,one),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(X_165)),bind(X_146,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3669,plain,
( composition(top,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))
| join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))) != composition(join(X_165,one),complement(composition(complement(one),top)))
| composition(top,complement(composition(complement(one),top))) = composition(join(X_165,one),complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(composition(complement(one),top))),composition(join(X_165,one),complement(composition(complement(one),top)))) ),[0],$fot(join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3670,plain,
( composition(top,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))
| composition(top,complement(composition(complement(one),top))) = composition(join(X_165,one),complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top)))),composition(join(X_165,one),complement(composition(complement(one),top)))) )],[refute_0_3668,refute_0_3669]) ).
cnf(refute_0_3671,plain,
( composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))
| composition(top,complement(composition(complement(one),top))) = composition(join(X_165,one),complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))) )],[refute_0_3667,refute_0_3670]) ).
cnf(refute_0_3672,plain,
composition(top,complement(composition(complement(one),top))) = composition(join(X_165,one),complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(join(join(complement(one),X_165),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(X_165,complement(composition(complement(one),top))))) )],[refute_0_3582,refute_0_3671]) ).
cnf(refute_0_3673,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(complement(one))),bind(X_146,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3674,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = composition(one,complement(composition(complement(one),top))),
inference(subst,[],[refute_0_3578:[bind(X_145,$fot(one))]]) ).
cnf(refute_0_3675,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != composition(one,complement(composition(complement(one),top)))
| composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| composition(one,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) ),[0],$fot(composition(one,complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3676,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| composition(one,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),composition(one,complement(composition(complement(one),top)))) )],[refute_0_3674,refute_0_3675]) ).
cnf(refute_0_3677,plain,
composition(one,complement(composition(complement(one),top))) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) )],[refute_0_3673,refute_0_3676]) ).
cnf(refute_0_3678,plain,
composition(one,complement(composition(complement(one),top))) = complement(composition(complement(one),top)),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3679,plain,
( composition(one,complement(composition(complement(one),top))) != complement(composition(complement(one),top))
| composition(one,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| complement(composition(complement(one),top)) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) ),[0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3680,plain,
( composition(one,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| complement(composition(complement(one),top)) = join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(complement(one),top))),complement(composition(complement(one),top))) )],[refute_0_3678,refute_0_3679]) ).
cnf(refute_0_3681,plain,
( composition(top,complement(composition(complement(one),top))) != composition(join(X_165,one),complement(composition(complement(one),top)))
| composition(join(X_165,one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(composition(complement(one),top))))),bind(Y,$fot(composition(join(X_165,one),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3682,plain,
composition(join(X_165,one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),composition(join(X_165,one),complement(composition(complement(one),top)))) )],[refute_0_3672,refute_0_3681]) ).
cnf(refute_0_3683,plain,
composition(join(complement(one),one),complement(composition(complement(one),top))) = composition(top,complement(composition(complement(one),top))),
inference(subst,[],[refute_0_3682:[bind(X_165,$fot(complement(one)))]]) ).
cnf(refute_0_3684,plain,
join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(join(complement(one),one),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(complement(one))),bind(X_146,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3685,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) != composition(join(complement(one),one),complement(composition(complement(one),top)))
| join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(top,complement(composition(complement(one),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))))),bind(Y,$fot(composition(join(complement(one),one),complement(composition(complement(one),top))))),bind(Z,$fot(composition(top,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3686,plain,
( composition(join(complement(one),one),complement(composition(complement(one),top))) != composition(top,complement(composition(complement(one),top)))
| join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))),composition(join(complement(one),one),complement(composition(complement(one),top)))) )],[refute_0_3684,refute_0_3685]) ).
cnf(refute_0_3687,plain,
join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(composition(complement(one),top))),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3683,refute_0_3686]) ).
cnf(refute_0_3688,plain,
( complement(composition(complement(one),top)) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))) != composition(top,complement(composition(complement(one),top)))
| complement(composition(complement(one),top)) = composition(top,complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(one),top)),composition(top,complement(composition(complement(one),top)))) ),[0],$fot(join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3689,plain,
( complement(composition(complement(one),top)) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| complement(composition(complement(one),top)) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top)))),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3687,refute_0_3688]) ).
cnf(refute_0_3690,plain,
( composition(one,complement(composition(complement(one),top))) != join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))
| complement(composition(complement(one),top)) = composition(top,complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) )],[refute_0_3680,refute_0_3689]) ).
cnf(refute_0_3691,plain,
complement(composition(complement(one),top)) = composition(top,complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(complement(one),top))),join(complement(composition(complement(one),top)),composition(complement(one),complement(composition(complement(one),top))))) )],[refute_0_3677,refute_0_3690]) ).
cnf(refute_0_3692,plain,
( complement(composition(complement(one),top)) != composition(top,complement(composition(complement(one),top)))
| composition(top,complement(composition(complement(one),top))) = complement(composition(complement(one),top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(one),top)))),bind(Y,$fot(composition(top,complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3693,plain,
composition(top,complement(composition(complement(one),top))) = complement(composition(complement(one),top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),composition(top,complement(composition(complement(one),top)))) )],[refute_0_3691,refute_0_3692]) ).
cnf(refute_0_3694,plain,
( composition(top,complement(composition(complement(one),top))) != complement(composition(complement(one),top))
| composition(top,complement(composition(complement(one),top))) != composition(join(X_165,one),complement(composition(complement(one),top)))
| complement(composition(complement(one),top)) = composition(join(X_165,one),complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),composition(join(X_165,one),complement(composition(complement(one),top)))) ),[0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3695,plain,
( composition(top,complement(composition(complement(one),top))) != composition(join(X_165,one),complement(composition(complement(one),top)))
| complement(composition(complement(one),top)) = composition(join(X_165,one),complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),complement(composition(complement(one),top))) )],[refute_0_3693,refute_0_3694]) ).
cnf(refute_0_3696,plain,
complement(composition(complement(one),top)) = composition(join(X_165,one),complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),composition(join(X_165,one),complement(composition(complement(one),top)))) )],[refute_0_3672,refute_0_3695]) ).
cnf(refute_0_3697,plain,
complement(composition(complement(one),top)) = composition(join(X_218,one),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_3696:[bind(X_165,$fot(X_218))]]) ).
cnf(refute_0_3698,plain,
( complement(composition(complement(one),top)) != composition(join(X_218,one),complement(composition(complement(one),top)))
| composition(join(X_218,one),complement(composition(complement(one),top))) = complement(composition(complement(one),top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(one),top)))),bind(Y,$fot(composition(join(X_218,one),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3699,plain,
composition(join(X_218,one),complement(composition(complement(one),top))) = complement(composition(complement(one),top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),top)),composition(join(X_218,one),complement(composition(complement(one),top)))) )],[refute_0_3697,refute_0_3698]) ).
cnf(refute_0_3700,plain,
( composition(join(X_218,one),complement(composition(complement(one),top))) != complement(composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(composition(join(X_218,one),complement(composition(complement(one),top)))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(composition(join(X_218,one),complement(composition(complement(one),top)))))),complement(complement(composition(complement(one),top)))) ),[0,1,1,0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3701,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(composition(join(X_218,one),complement(composition(complement(one),top)))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_218,one),complement(composition(complement(one),top))),complement(composition(complement(one),top))) )],[refute_0_3699,refute_0_3700]) ).
cnf(refute_0_3702,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(composition(join(X_218,one),complement(composition(complement(one),top)))))),complement(complement(composition(complement(one),top)))) )],[refute_0_3565,refute_0_3701]) ).
cnf(refute_0_3703,plain,
converse(composition(converse(composition(complement(one),top)),X_12)) = composition(converse(X_12),composition(complement(one),top)),
inference(subst,[],[refute_0_62:[bind(X0,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3704,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(composition(converse(composition(complement(one),top)),X_12)) != composition(converse(X_12),composition(complement(one),top))
| converse(composition(composition(top,complement(one)),X_12)) = composition(converse(X_12),composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(complement(one),top)),X_12)),composition(converse(X_12),composition(complement(one),top))) ),[0,0,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3705,plain,
( converse(composition(converse(composition(complement(one),top)),X_12)) != composition(converse(X_12),composition(complement(one),top))
| converse(composition(composition(top,complement(one)),X_12)) = composition(converse(X_12),composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_3561,refute_0_3704]) ).
cnf(refute_0_3706,plain,
converse(composition(composition(top,complement(one)),X_12)) = composition(converse(X_12),composition(complement(one),top)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(one),top)),X_12)),composition(converse(X_12),composition(complement(one),top))) )],[refute_0_3703,refute_0_3705]) ).
cnf(refute_0_3707,plain,
composition(composition(top,complement(one)),X_12) = composition(top,composition(complement(one),X_12)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(complement(one))),bind(X2,$fot(X_12))]]) ).
cnf(refute_0_3708,plain,
converse(composition(composition(top,complement(one)),X_12)) = converse(composition(composition(top,complement(one)),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(one)),X_12)))]]) ).
cnf(refute_0_3709,plain,
( composition(composition(top,complement(one)),X_12) != composition(top,composition(complement(one),X_12))
| converse(composition(composition(top,complement(one)),X_12)) != converse(composition(composition(top,complement(one)),X_12))
| converse(composition(composition(top,complement(one)),X_12)) = converse(composition(top,composition(complement(one),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_12)),converse(composition(composition(top,complement(one)),X_12))) ),[1,0],$fot(composition(top,composition(complement(one),X_12)))]]) ).
cnf(refute_0_3710,plain,
( composition(composition(top,complement(one)),X_12) != composition(top,composition(complement(one),X_12))
| converse(composition(composition(top,complement(one)),X_12)) = converse(composition(top,composition(complement(one),X_12))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_12)),converse(composition(composition(top,complement(one)),X_12))) )],[refute_0_3708,refute_0_3709]) ).
cnf(refute_0_3711,plain,
converse(composition(composition(top,complement(one)),X_12)) = converse(composition(top,composition(complement(one),X_12))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(one)),X_12),composition(top,composition(complement(one),X_12))) )],[refute_0_3707,refute_0_3710]) ).
cnf(refute_0_3712,plain,
( converse(composition(composition(top,complement(one)),X_12)) != composition(converse(X_12),composition(complement(one),top))
| converse(composition(composition(top,complement(one)),X_12)) != converse(composition(top,composition(complement(one),X_12)))
| converse(composition(top,composition(complement(one),X_12))) = composition(converse(X_12),composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_12)),composition(converse(X_12),composition(complement(one),top))) ),[0],$fot(converse(composition(top,composition(complement(one),X_12))))]]) ).
cnf(refute_0_3713,plain,
( converse(composition(composition(top,complement(one)),X_12)) != composition(converse(X_12),composition(complement(one),top))
| converse(composition(top,composition(complement(one),X_12))) = composition(converse(X_12),composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_12)),converse(composition(top,composition(complement(one),X_12)))) )],[refute_0_3711,refute_0_3712]) ).
cnf(refute_0_3714,plain,
converse(composition(top,composition(complement(one),X_12))) = composition(converse(X_12),composition(complement(one),top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(one)),X_12)),composition(converse(X_12),composition(complement(one),top))) )],[refute_0_3706,refute_0_3713]) ).
cnf(refute_0_3715,plain,
( converse(composition(top,composition(complement(one),X_12))) != composition(converse(X_12),composition(complement(one),top))
| composition(converse(X_12),composition(complement(one),top)) = converse(composition(top,composition(complement(one),X_12))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,composition(complement(one),X_12))))),bind(Y,$fot(composition(converse(X_12),composition(complement(one),top))))]]) ).
cnf(refute_0_3716,plain,
composition(converse(X_12),composition(complement(one),top)) = converse(composition(top,composition(complement(one),X_12))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),X_12))),composition(converse(X_12),composition(complement(one),top))) )],[refute_0_3714,refute_0_3715]) ).
cnf(refute_0_3717,plain,
composition(converse(join(X_218,one)),composition(complement(one),top)) = converse(composition(top,composition(complement(one),join(X_218,one)))),
inference(subst,[],[refute_0_3716:[bind(X_12,$fot(join(X_218,one)))]]) ).
cnf(refute_0_3718,plain,
complement(complement(composition(complement(one),top))) = composition(complement(one),top),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3719,plain,
composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3720,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) != composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))
| composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) ),[1,1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3721,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) )],[refute_0_3719,refute_0_3720]) ).
cnf(refute_0_3722,plain,
composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),composition(complement(one),top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3718,refute_0_3721]) ).
cnf(refute_0_3723,plain,
join(X0,join(one,one)) = join(join(X0,one),one),
inference(subst,[],[refute_0_46:[bind(X1,$fot(one)),bind(X2,$fot(one))]]) ).
cnf(refute_0_3724,plain,
( join(X0,join(one,one)) != join(join(X0,one),one)
| join(one,one) != one
| join(X0,one) = join(join(X0,one),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,one)),join(join(X0,one),one)) ),[0,1],$fot(one)]]) ).
cnf(refute_0_3725,plain,
( join(X0,join(one,one)) != join(join(X0,one),one)
| join(X0,one) = join(join(X0,one),one) ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1765,refute_0_3724]) ).
cnf(refute_0_3726,plain,
join(X0,one) = join(join(X0,one),one),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(join(X0,one),one)) )],[refute_0_3723,refute_0_3725]) ).
cnf(refute_0_3727,plain,
converse(join(converse(X0),join(one,one))) = join(X0,converse(join(one,one))),
inference(subst,[],[refute_0_272:[bind(X_5,$fot(join(one,one)))]]) ).
cnf(refute_0_3728,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(one))]]) ).
cnf(refute_0_3729,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3730,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_3729]) ).
cnf(refute_0_3731,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_3728,refute_0_3730]) ).
cnf(refute_0_3732,plain,
( converse(join(converse(X0),join(one,one))) != join(X0,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(converse(X0),join(one,one))) = join(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_3733,plain,
( converse(join(converse(X0),join(one,one))) != join(X0,converse(join(one,one)))
| converse(join(converse(X0),join(one,one))) = join(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
converse(join(converse(X0),join(one,one))) = join(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,converse(join(one,one)))) )],[refute_0_3727,refute_0_3733]) ).
cnf(refute_0_3735,plain,
join(one,join(converse(one),X0)) = join(one,join(converse(one),X0)),
introduced(tautology,[refl,[$fot(join(one,join(converse(one),X0)))]]) ).
cnf(refute_0_3736,plain,
( join(converse(one),X0) != join(one,X0)
| join(one,join(converse(one),X0)) != join(one,join(converse(one),X0))
| join(one,join(converse(one),X0)) = join(one,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(one),X0)),join(one,join(converse(one),X0))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_3737,plain,
( join(converse(one),X0) != join(one,X0)
| join(one,join(converse(one),X0)) = join(one,join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X0)),join(one,join(converse(one),X0))) )],[refute_0_3735,refute_0_3736]) ).
cnf(refute_0_3738,plain,
join(one,join(converse(one),X0)) = join(one,join(one,X0)),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_2814,refute_0_3737]) ).
cnf(refute_0_3739,plain,
converse(join(one,join(one,converse(X0)))) = join(one,join(converse(one),X0)),
inference(subst,[],[refute_0_403:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_3740,plain,
converse(join(one,join(X1,X0))) = join(one,converse(join(X1,X0))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(join(X1,X0)))]]) ).
cnf(refute_0_3741,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| converse(join(one,join(X1,X0))) != join(one,converse(join(X1,X0)))
| converse(join(one,join(X1,X0))) = join(one,converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X1,X0))),join(one,converse(join(X1,X0)))) ),[1,1],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_3742,plain,
( converse(join(one,join(X1,X0))) != join(one,converse(join(X1,X0)))
| converse(join(one,join(X1,X0))) = join(one,converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_461,refute_0_3741]) ).
cnf(refute_0_3743,plain,
converse(join(one,join(X1,X0))) = join(one,converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X0))),join(one,converse(join(X1,X0)))) )],[refute_0_3740,refute_0_3742]) ).
cnf(refute_0_3744,plain,
join(one,converse(join(X0,X1))) = converse(join(one,join(X0,X1))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(X0,X1)))]]) ).
cnf(refute_0_3745,plain,
( converse(join(one,join(X1,X0))) != join(one,converse(join(X0,X1)))
| join(one,converse(join(X0,X1))) != converse(join(one,join(X0,X1)))
| converse(join(one,join(X1,X0))) = converse(join(one,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(X1,X0))),converse(join(one,join(X0,X1)))) ),[0],$fot(join(one,converse(join(X0,X1))))]]) ).
cnf(refute_0_3746,plain,
( converse(join(one,join(X1,X0))) != join(one,converse(join(X0,X1)))
| converse(join(one,join(X1,X0))) = converse(join(one,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X0,X1))),converse(join(one,join(X0,X1)))) )],[refute_0_3744,refute_0_3745]) ).
cnf(refute_0_3747,plain,
converse(join(one,join(X1,X0))) = converse(join(one,join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X0))),join(one,converse(join(X0,X1)))) )],[refute_0_3743,refute_0_3746]) ).
cnf(refute_0_3748,plain,
( converse(join(one,join(X1,X0))) != converse(join(one,join(X0,X1)))
| converse(join(one,join(X0,X1))) = converse(join(one,join(X1,X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,join(X1,X0))))),bind(Y,$fot(converse(join(one,join(X0,X1)))))]]) ).
cnf(refute_0_3749,plain,
converse(join(one,join(X0,X1))) = converse(join(one,join(X1,X0))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X0))),converse(join(one,join(X0,X1)))) )],[refute_0_3747,refute_0_3748]) ).
cnf(refute_0_3750,plain,
converse(join(one,join(converse(X0),one))) = converse(join(one,join(one,converse(X0)))),
inference(subst,[],[refute_0_3749:[bind(X0,$fot(converse(X0))),bind(X1,$fot(one))]]) ).
cnf(refute_0_3751,plain,
( converse(join(one,join(converse(X0),one))) != converse(join(one,join(one,converse(X0))))
| converse(join(one,join(one,converse(X0)))) != join(one,join(converse(one),X0))
| converse(join(one,join(converse(X0),one))) = join(one,join(converse(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(X0),one))))),bind(Y,$fot(converse(join(one,join(one,converse(X0)))))),bind(Z,$fot(join(one,join(converse(one),X0))))]]) ).
cnf(refute_0_3752,plain,
( converse(join(one,join(one,converse(X0)))) != join(one,join(converse(one),X0))
| converse(join(one,join(converse(X0),one))) = join(one,join(converse(one),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),one))),converse(join(one,join(one,converse(X0))))) )],[refute_0_3750,refute_0_3751]) ).
cnf(refute_0_3753,plain,
converse(join(one,join(converse(X0),one))) = join(one,join(converse(one),X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,converse(X0)))),join(one,join(converse(one),X0))) )],[refute_0_3739,refute_0_3752]) ).
cnf(refute_0_3754,plain,
converse(join(converse(X0),join(one,one))) = converse(join(one,join(converse(X0),one))),
inference(subst,[],[refute_0_623:[bind(X1,$fot(one)),bind(X_19,$fot(one)),bind(X_20,$fot(converse(X0)))]]) ).
cnf(refute_0_3755,plain,
( converse(join(converse(X0),join(one,one))) != converse(join(one,join(converse(X0),one)))
| converse(join(one,join(converse(X0),one))) != join(one,join(converse(one),X0))
| converse(join(converse(X0),join(one,one))) = join(one,join(converse(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,one))))),bind(Y,$fot(converse(join(one,join(converse(X0),one))))),bind(Z,$fot(join(one,join(converse(one),X0))))]]) ).
cnf(refute_0_3756,plain,
( converse(join(one,join(converse(X0),one))) != join(one,join(converse(one),X0))
| converse(join(converse(X0),join(one,one))) = join(one,join(converse(one),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),converse(join(one,join(converse(X0),one)))) )],[refute_0_3754,refute_0_3755]) ).
cnf(refute_0_3757,plain,
converse(join(converse(X0),join(one,one))) = join(one,join(converse(one),X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),one))),join(one,join(converse(one),X0))) )],[refute_0_3753,refute_0_3756]) ).
cnf(refute_0_3758,plain,
( converse(join(converse(X0),join(one,one))) != join(one,join(converse(one),X0))
| join(one,join(converse(one),X0)) != join(one,join(one,X0))
| converse(join(converse(X0),join(one,one))) = join(one,join(one,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,one))))),bind(Y,$fot(join(one,join(converse(one),X0)))),bind(Z,$fot(join(one,join(one,X0))))]]) ).
cnf(refute_0_3759,plain,
( join(one,join(converse(one),X0)) != join(one,join(one,X0))
| converse(join(converse(X0),join(one,one))) = join(one,join(one,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(one,join(converse(one),X0))) )],[refute_0_3757,refute_0_3758]) ).
cnf(refute_0_3760,plain,
converse(join(converse(X0),join(one,one))) = join(one,join(one,X0)),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X0)),join(one,join(one,X0))) )],[refute_0_3738,refute_0_3759]) ).
cnf(refute_0_3761,plain,
( converse(join(converse(X0),join(one,one))) != join(X0,join(one,one))
| converse(join(converse(X0),join(one,one))) != join(one,join(one,X0))
| join(one,join(one,X0)) = join(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,join(one,one))) ),[0],$fot(join(one,join(one,X0)))]]) ).
cnf(refute_0_3762,plain,
( converse(join(converse(X0),join(one,one))) != join(X0,join(one,one))
| join(one,join(one,X0)) = join(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(one,join(one,X0))) )],[refute_0_3760,refute_0_3761]) ).
cnf(refute_0_3763,plain,
join(one,join(one,X0)) = join(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,one))),join(X0,join(one,one))) )],[refute_0_3734,refute_0_3762]) ).
cnf(refute_0_3764,plain,
join(one,join(one,X0)) = join(one,X0),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(one)),bind(X_133,$fot(X0))]]) ).
cnf(refute_0_3765,plain,
( join(one,join(one,X0)) != join(X0,join(one,one))
| join(one,join(one,X0)) != join(one,X0)
| join(one,X0) = join(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,X0)),join(X0,join(one,one))) ),[0],$fot(join(one,X0))]]) ).
cnf(refute_0_3766,plain,
( join(one,join(one,X0)) != join(X0,join(one,one))
| join(one,X0) = join(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(one,X0)),join(one,X0)) )],[refute_0_3764,refute_0_3765]) ).
cnf(refute_0_3767,plain,
join(one,X0) = join(X0,join(one,one)),
inference(resolve,[$cnf( $equal(join(one,join(one,X0)),join(X0,join(one,one))) )],[refute_0_3763,refute_0_3766]) ).
cnf(refute_0_3768,plain,
join(X0,join(one,one)) = join(X0,join(one,one)),
introduced(tautology,[refl,[$fot(join(X0,join(one,one)))]]) ).
cnf(refute_0_3769,plain,
( join(X0,join(one,one)) != join(X0,join(one,one))
| join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3770,plain,
( join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) )],[refute_0_3768,refute_0_3769]) ).
cnf(refute_0_3771,plain,
join(X0,join(one,one)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1765,refute_0_3770]) ).
cnf(refute_0_3772,plain,
( join(X0,join(one,one)) != join(X0,one)
| join(one,X0) != join(X0,join(one,one))
| join(one,X0) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,X0),join(X0,join(one,one))) ),[1],$fot(join(X0,one))]]) ).
cnf(refute_0_3773,plain,
( join(one,X0) != join(X0,join(one,one))
| join(one,X0) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,one)) )],[refute_0_3771,refute_0_3772]) ).
cnf(refute_0_3774,plain,
join(one,X0) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,X0),join(X0,join(one,one))) )],[refute_0_3767,refute_0_3773]) ).
cnf(refute_0_3775,plain,
( join(one,X0) != join(X0,one)
| join(X0,one) = join(one,X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X0))),bind(Y,$fot(join(X0,one)))]]) ).
cnf(refute_0_3776,plain,
join(X0,one) = join(one,X0),
inference(resolve,[$cnf( $equal(join(one,X0),join(X0,one)) )],[refute_0_3774,refute_0_3775]) ).
cnf(refute_0_3777,plain,
join(join(X0,one),one) = join(one,join(X0,one)),
inference(subst,[],[refute_0_3776:[bind(X0,$fot(join(X0,one)))]]) ).
cnf(refute_0_3778,plain,
( join(X0,one) != join(join(X0,one),one)
| join(join(X0,one),one) != join(one,join(X0,one))
| join(X0,one) = join(one,join(X0,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,one),join(one,join(X0,one))) ),[0],$fot(join(join(X0,one),one))]]) ).
cnf(refute_0_3779,plain,
( join(X0,one) != join(join(X0,one),one)
| join(X0,one) = join(one,join(X0,one)) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),one),join(one,join(X0,one))) )],[refute_0_3777,refute_0_3778]) ).
cnf(refute_0_3780,plain,
join(X0,one) = join(one,join(X0,one)),
inference(resolve,[$cnf( $equal(join(X0,one),join(join(X0,one),one)) )],[refute_0_3726,refute_0_3779]) ).
cnf(refute_0_3781,plain,
( join(X0,one) != join(one,join(X0,one))
| join(one,join(X0,one)) = join(X0,one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,one))),bind(Y,$fot(join(one,join(X0,one))))]]) ).
cnf(refute_0_3782,plain,
join(one,join(X0,one)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(X0,one),join(one,join(X0,one))) )],[refute_0_3780,refute_0_3781]) ).
cnf(refute_0_3783,plain,
join(one,join(X_218,one)) = join(X_218,one),
inference(subst,[],[refute_0_3782:[bind(X0,$fot(X_218))]]) ).
cnf(refute_0_3784,plain,
converse(join(one,join(X_218,one))) = converse(join(one,join(X_218,one))),
introduced(tautology,[refl,[$fot(converse(join(one,join(X_218,one))))]]) ).
cnf(refute_0_3785,plain,
( converse(join(one,join(X_218,one))) != converse(join(one,join(X_218,one)))
| join(one,join(X_218,one)) != join(X_218,one)
| converse(join(one,join(X_218,one))) = converse(join(X_218,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_218,one))),converse(join(one,join(X_218,one)))) ),[1,0],$fot(join(X_218,one))]]) ).
cnf(refute_0_3786,plain,
( join(one,join(X_218,one)) != join(X_218,one)
| converse(join(one,join(X_218,one))) = converse(join(X_218,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_218,one))),converse(join(one,join(X_218,one)))) )],[refute_0_3784,refute_0_3785]) ).
cnf(refute_0_3787,plain,
converse(join(one,join(X_218,one))) = converse(join(X_218,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_218,one)),join(X_218,one)) )],[refute_0_3783,refute_0_3786]) ).
cnf(refute_0_3788,plain,
join(one,converse(join(X_218,one))) = converse(join(one,join(X_218,one))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(X_218,one)))]]) ).
cnf(refute_0_3789,plain,
( converse(join(one,join(X_218,one))) != converse(join(X_218,one))
| join(one,converse(join(X_218,one))) != converse(join(one,join(X_218,one)))
| join(one,converse(join(X_218,one))) = converse(join(X_218,one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(join(X_218,one))))),bind(Y,$fot(converse(join(one,join(X_218,one))))),bind(Z,$fot(converse(join(X_218,one))))]]) ).
cnf(refute_0_3790,plain,
( converse(join(one,join(X_218,one))) != converse(join(X_218,one))
| join(one,converse(join(X_218,one))) = converse(join(X_218,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_218,one))),converse(join(one,join(X_218,one)))) )],[refute_0_3788,refute_0_3789]) ).
cnf(refute_0_3791,plain,
join(one,converse(join(X_218,one))) = converse(join(X_218,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_218,one))),converse(join(X_218,one))) )],[refute_0_3787,refute_0_3790]) ).
cnf(refute_0_3792,plain,
composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3793,plain,
( composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))
| join(one,converse(join(X_218,one))) != converse(join(X_218,one))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))) ),[1,0],$fot(converse(join(X_218,one)))]]) ).
cnf(refute_0_3794,plain,
( join(one,converse(join(X_218,one))) != converse(join(X_218,one))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))) )],[refute_0_3792,refute_0_3793]) ).
cnf(refute_0_3795,plain,
composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_218,one))),converse(join(X_218,one))) )],[refute_0_3791,refute_0_3794]) ).
cnf(refute_0_3796,plain,
( composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) != composition(converse(join(X_218,one)),composition(complement(one),top))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) != composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),composition(complement(one),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))))),bind(Y,$fot(composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(converse(join(X_218,one)),composition(complement(one),top))))]]) ).
cnf(refute_0_3797,plain,
( composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))) != composition(converse(join(X_218,one)),composition(complement(one),top))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) )],[refute_0_3795,refute_0_3796]) ).
cnf(refute_0_3798,plain,
composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = composition(converse(join(X_218,one)),composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top)))),composition(converse(join(X_218,one)),composition(complement(one),top))) )],[refute_0_3722,refute_0_3797]) ).
cnf(refute_0_3799,plain,
( composition(converse(join(X_218,one)),composition(complement(one),top)) != converse(composition(top,composition(complement(one),join(X_218,one))))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) != composition(converse(join(X_218,one)),composition(complement(one),top))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = converse(composition(top,composition(complement(one),join(X_218,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))))),bind(Y,$fot(composition(converse(join(X_218,one)),composition(complement(one),top)))),bind(Z,$fot(converse(composition(top,composition(complement(one),join(X_218,one))))))]]) ).
cnf(refute_0_3800,plain,
( composition(converse(join(X_218,one)),composition(complement(one),top)) != converse(composition(top,composition(complement(one),join(X_218,one))))
| composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = converse(composition(top,composition(complement(one),join(X_218,one)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),composition(converse(join(X_218,one)),composition(complement(one),top))) )],[refute_0_3798,refute_0_3799]) ).
cnf(refute_0_3801,plain,
composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) = converse(composition(top,composition(complement(one),join(X_218,one)))),
inference(resolve,[$cnf( $equal(composition(converse(join(X_218,one)),composition(complement(one),top)),converse(composition(top,composition(complement(one),join(X_218,one))))) )],[refute_0_3717,refute_0_3800]) ).
cnf(refute_0_3802,plain,
composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top)))) = composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_3661:[bind(X_146,$fot(complement(complement(composition(complement(one),top))))),bind(X_161,$fot(converse(join(X_218,one))))]]) ).
cnf(refute_0_3803,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(converse(join(X_218,one)))),bind(X_146,$fot(complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3804,plain,
( composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) != composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))))),bind(Y,$fot(composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))))]]) ).
cnf(refute_0_3805,plain,
( composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))),composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top))))) )],[refute_0_3803,refute_0_3804]) ).
cnf(refute_0_3806,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(join(X_218,one)),one),complement(complement(composition(complement(one),top)))),composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))) )],[refute_0_3802,refute_0_3805]) ).
cnf(refute_0_3807,plain,
( composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) != converse(composition(top,composition(complement(one),join(X_218,one))))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) != composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = converse(composition(top,composition(complement(one),join(X_218,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))))),bind(Y,$fot(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(converse(composition(top,composition(complement(one),join(X_218,one))))))]]) ).
cnf(refute_0_3808,plain,
( composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))) != converse(composition(top,composition(complement(one),join(X_218,one))))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = converse(composition(top,composition(complement(one),join(X_218,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))),composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top))))) )],[refute_0_3806,refute_0_3807]) ).
cnf(refute_0_3809,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) = converse(composition(top,composition(complement(one),join(X_218,one)))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(X_218,one))),complement(complement(composition(complement(one),top)))),converse(composition(top,composition(complement(one),join(X_218,one))))) )],[refute_0_3801,refute_0_3808]) ).
cnf(refute_0_3810,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) != converse(composition(top,composition(complement(one),join(X_218,one))))
| converse(composition(top,composition(complement(one),join(X_218,one)))) = complement(complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))),complement(complement(composition(complement(one),top)))) ),[0],$fot(converse(composition(top,composition(complement(one),join(X_218,one)))))]]) ).
cnf(refute_0_3811,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| converse(composition(top,composition(complement(one),join(X_218,one)))) = complement(complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))),converse(composition(top,composition(complement(one),join(X_218,one))))) )],[refute_0_3809,refute_0_3810]) ).
cnf(refute_0_3812,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),join(X_218,one)))) != complement(complement(composition(complement(one),top)))
| converse(composition(top,composition(complement(one),join(X_218,one)))) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),join(X_218,one)))),complement(complement(composition(complement(one),top)))) ),[1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3813,plain,
( converse(composition(top,composition(complement(one),join(X_218,one)))) != complement(complement(composition(complement(one),top)))
| converse(composition(top,composition(complement(one),join(X_218,one)))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3718,refute_0_3812]) ).
cnf(refute_0_3814,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| converse(composition(top,composition(complement(one),join(X_218,one)))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),join(X_218,one)))),complement(complement(composition(complement(one),top)))) )],[refute_0_3811,refute_0_3813]) ).
cnf(refute_0_3815,plain,
converse(composition(top,composition(complement(one),join(X_218,one)))) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(join(X_218,one)),complement(complement(composition(complement(one),top))))),complement(complement(composition(complement(one),top)))) )],[refute_0_3702,refute_0_3814]) ).
cnf(refute_0_3816,plain,
converse(composition(top,composition(complement(one),join(top,one)))) = composition(complement(one),top),
inference(subst,[],[refute_0_3815:[bind(X_218,$fot(top))]]) ).
cnf(refute_0_3817,plain,
join(top,one) = top,
inference(subst,[],[refute_0_1304:[bind(X_82,$fot(one))]]) ).
cnf(refute_0_3818,plain,
( converse(composition(top,composition(complement(one),join(top,one)))) != composition(complement(one),top)
| join(top,one) != top
| converse(composition(top,composition(complement(one),top))) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),join(top,one)))),composition(complement(one),top)) ),[0,0,1,1],$fot(top)]]) ).
cnf(refute_0_3819,plain,
( converse(composition(top,composition(complement(one),join(top,one)))) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),top))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_3817,refute_0_3818]) ).
cnf(refute_0_3820,plain,
converse(composition(top,composition(complement(one),top))) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),join(top,one)))),composition(complement(one),top)) )],[refute_0_3816,refute_0_3819]) ).
cnf(refute_0_3821,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))) = complement(complement(composition(complement(one),top))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_3822,plain,
( composition(top,complement(composition(complement(one),top))) != complement(composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))),complement(complement(composition(complement(one),top)))) ),[0,1,1,0],$fot(complement(composition(complement(one),top)))]]) ).
cnf(refute_0_3823,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(one),top))),complement(composition(complement(one),top))) )],[refute_0_3693,refute_0_3822]) ).
cnf(refute_0_3824,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = complement(complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(composition(top,complement(composition(complement(one),top)))))),complement(complement(composition(complement(one),top)))) )],[refute_0_3821,refute_0_3823]) ).
cnf(refute_0_3825,plain,
composition(top,complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3826,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(top,complement(complement(composition(complement(one),top)))) != composition(top,complement(complement(composition(complement(one),top))))
| composition(top,complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(composition(complement(one),top)))),composition(top,complement(complement(composition(complement(one),top))))) ),[1,1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3827,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(top,complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(one),top)))),composition(top,complement(complement(composition(complement(one),top))))) )],[refute_0_3825,refute_0_3826]) ).
cnf(refute_0_3828,plain,
composition(top,complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3718,refute_0_3827]) ).
cnf(refute_0_3829,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3830,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3831,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) )],[refute_0_3829,refute_0_3830]) ).
cnf(refute_0_3832,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,complement(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_819,refute_0_3831]) ).
cnf(refute_0_3833,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(top,complement(complement(composition(complement(one),top))))
| composition(top,complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))))),bind(Y,$fot(composition(top,complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(top,composition(complement(one),top))))]]) ).
cnf(refute_0_3834,plain,
( composition(top,complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(top,complement(complement(composition(complement(one),top))))) )],[refute_0_3832,refute_0_3833]) ).
cnf(refute_0_3835,plain,
composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(composition(complement(one),top)))),composition(top,composition(complement(one),top))) )],[refute_0_3828,refute_0_3834]) ).
cnf(refute_0_3836,plain,
composition(join(converse(top),one),complement(complement(composition(complement(one),top)))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_3661:[bind(X_146,$fot(complement(complement(composition(complement(one),top))))),bind(X_161,$fot(converse(top)))]]) ).
cnf(refute_0_3837,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(converse(top),one),complement(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(converse(top))),bind(X_146,$fot(complement(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_3838,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != composition(join(converse(top),one),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))))]]) ).
cnf(refute_0_3839,plain,
( composition(join(converse(top),one),complement(complement(composition(complement(one),top)))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),composition(join(converse(top),one),complement(complement(composition(complement(one),top))))) )],[refute_0_3837,refute_0_3838]) ).
cnf(refute_0_3840,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(composition(complement(one),top)))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) )],[refute_0_3836,refute_0_3839]) ).
cnf(refute_0_3841,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(top,composition(complement(one),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))))),bind(Z,$fot(composition(top,composition(complement(one),top))))]]) ).
cnf(refute_0_3842,plain,
( composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))) != composition(top,composition(complement(one),top))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(top,composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),composition(join(one,converse(top)),complement(complement(composition(complement(one),top))))) )],[refute_0_3840,refute_0_3841]) ).
cnf(refute_0_3843,plain,
join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) = composition(top,composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(composition(complement(one),top)))),composition(top,composition(complement(one),top))) )],[refute_0_3835,refute_0_3842]) ).
cnf(refute_0_3844,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != composition(top,composition(complement(one),top))
| composition(top,composition(complement(one),top)) = complement(complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),complement(complement(composition(complement(one),top)))) ),[0],$fot(composition(top,composition(complement(one),top)))]]) ).
cnf(refute_0_3845,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = complement(complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),composition(top,composition(complement(one),top))) )],[refute_0_3843,refute_0_3844]) ).
cnf(refute_0_3846,plain,
( complement(complement(composition(complement(one),top))) != composition(complement(one),top)
| composition(top,composition(complement(one),top)) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(one),top)),complement(complement(composition(complement(one),top)))) ),[1],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3847,plain,
( composition(top,composition(complement(one),top)) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3718,refute_0_3846]) ).
cnf(refute_0_3848,plain,
( join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))) != complement(complement(composition(complement(one),top)))
| composition(top,composition(complement(one),top)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),complement(complement(composition(complement(one),top)))) )],[refute_0_3845,refute_0_3847]) ).
cnf(refute_0_3849,plain,
composition(top,composition(complement(one),top)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(complement(one),top))),composition(converse(top),complement(complement(composition(complement(one),top))))),complement(complement(composition(complement(one),top)))) )],[refute_0_3824,refute_0_3848]) ).
cnf(refute_0_3850,plain,
converse(composition(top,composition(complement(one),top))) = converse(composition(top,composition(complement(one),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(one),top))))]]) ).
cnf(refute_0_3851,plain,
( composition(top,composition(complement(one),top)) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),top))) != converse(composition(top,composition(complement(one),top)))
| converse(composition(top,composition(complement(one),top))) = converse(composition(complement(one),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),converse(composition(top,composition(complement(one),top)))) ),[1,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_3852,plain,
( composition(top,composition(complement(one),top)) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),top))) = converse(composition(complement(one),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),converse(composition(top,composition(complement(one),top)))) )],[refute_0_3850,refute_0_3851]) ).
cnf(refute_0_3853,plain,
converse(composition(top,composition(complement(one),top))) = converse(composition(complement(one),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(one),top)),composition(complement(one),top)) )],[refute_0_3849,refute_0_3852]) ).
cnf(refute_0_3854,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) != converse(composition(complement(one),top))
| converse(composition(top,composition(complement(one),top))) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,composition(complement(one),top))))),bind(Y,$fot(converse(composition(complement(one),top)))),bind(Z,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3855,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(composition(top,composition(complement(one),top))) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),converse(composition(complement(one),top))) )],[refute_0_3853,refute_0_3854]) ).
cnf(refute_0_3856,plain,
converse(composition(top,composition(complement(one),top))) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_3561,refute_0_3855]) ).
cnf(refute_0_3857,plain,
( converse(composition(top,composition(complement(one),top))) != composition(complement(one),top)
| converse(composition(top,composition(complement(one),top))) != composition(top,complement(one))
| composition(top,complement(one)) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(complement(one),top)) ),[0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3858,plain,
( converse(composition(top,composition(complement(one),top))) != composition(complement(one),top)
| composition(top,complement(one)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(top,complement(one))) )],[refute_0_3856,refute_0_3857]) ).
cnf(refute_0_3859,plain,
composition(top,complement(one)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(one),top))),composition(complement(one),top)) )],[refute_0_3820,refute_0_3858]) ).
cnf(refute_0_3860,plain,
( composition(top,complement(one)) != composition(complement(one),top)
| composition(complement(one),top) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(one)))),bind(Y,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_3861,plain,
composition(complement(one),top) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(one)),composition(complement(one),top)) )],[refute_0_3859,refute_0_3860]) ).
cnf(refute_0_3862,plain,
( composition(complement(one),top) != composition(top,complement(one))
| converse(composition(top,complement(one))) != composition(complement(one),top)
| converse(composition(top,complement(one))) = composition(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) ),[1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3863,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| converse(composition(top,complement(one))) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_3861,refute_0_3862]) ).
cnf(refute_0_3864,plain,
converse(composition(top,complement(one))) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_3564,refute_0_3863]) ).
cnf(refute_0_3865,plain,
complement(converse(composition(top,complement(one)))) = complement(converse(composition(top,complement(one)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(one)))))]]) ).
cnf(refute_0_3866,plain,
( complement(converse(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
| converse(composition(top,complement(one))) != composition(top,complement(one))
| complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3867,plain,
( converse(composition(top,complement(one))) != composition(top,complement(one))
| complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_3865,refute_0_3866]) ).
cnf(refute_0_3868,plain,
complement(converse(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3864,refute_0_3867]) ).
cnf(refute_0_3869,plain,
composition(one,complement(converse(composition(top,complement(one))))) = complement(converse(composition(top,complement(one)))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,complement(one))))))]]) ).
cnf(refute_0_3870,plain,
composition(join(X_292,complement(X_292)),complement(converse(composition(top,complement(X_292))))) = composition(X_292,complement(converse(composition(top,complement(X_292))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(X_292)),bind(X_145,$fot(complement(X_292)))]]) ).
cnf(refute_0_3871,plain,
top = join(X_292,complement(X_292)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_292))]]) ).
cnf(refute_0_3872,plain,
( top != join(X_292,complement(X_292))
| join(X_292,complement(X_292)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_292,complement(X_292))))]]) ).
cnf(refute_0_3873,plain,
join(X_292,complement(X_292)) = top,
inference(resolve,[$cnf( $equal(top,join(X_292,complement(X_292))) )],[refute_0_3871,refute_0_3872]) ).
cnf(refute_0_3874,plain,
( composition(join(X_292,complement(X_292)),complement(converse(composition(top,complement(X_292))))) != composition(X_292,complement(converse(composition(top,complement(X_292)))))
| join(X_292,complement(X_292)) != top
| composition(top,complement(converse(composition(top,complement(X_292))))) = composition(X_292,complement(converse(composition(top,complement(X_292))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_292,complement(X_292)),complement(converse(composition(top,complement(X_292))))),composition(X_292,complement(converse(composition(top,complement(X_292)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_3875,plain,
( composition(join(X_292,complement(X_292)),complement(converse(composition(top,complement(X_292))))) != composition(X_292,complement(converse(composition(top,complement(X_292)))))
| composition(top,complement(converse(composition(top,complement(X_292))))) = composition(X_292,complement(converse(composition(top,complement(X_292))))) ),
inference(resolve,[$cnf( $equal(join(X_292,complement(X_292)),top) )],[refute_0_3873,refute_0_3874]) ).
cnf(refute_0_3876,plain,
composition(top,complement(converse(composition(top,complement(X_292))))) = composition(X_292,complement(converse(composition(top,complement(X_292))))),
inference(resolve,[$cnf( $equal(composition(join(X_292,complement(X_292)),complement(converse(composition(top,complement(X_292))))),composition(X_292,complement(converse(composition(top,complement(X_292)))))) )],[refute_0_3870,refute_0_3875]) ).
cnf(refute_0_3877,plain,
composition(top,complement(converse(composition(top,complement(one))))) = composition(one,complement(converse(composition(top,complement(one))))),
inference(subst,[],[refute_0_3876:[bind(X_292,$fot(one))]]) ).
cnf(refute_0_3878,plain,
( composition(one,complement(converse(composition(top,complement(one))))) != complement(converse(composition(top,complement(one))))
| composition(top,complement(converse(composition(top,complement(one))))) != composition(one,complement(converse(composition(top,complement(one)))))
| composition(top,complement(converse(composition(top,complement(one))))) = complement(converse(composition(top,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(converse(composition(top,complement(one))))))),bind(Y,$fot(composition(one,complement(converse(composition(top,complement(one))))))),bind(Z,$fot(complement(converse(composition(top,complement(one))))))]]) ).
cnf(refute_0_3879,plain,
( composition(one,complement(converse(composition(top,complement(one))))) != complement(converse(composition(top,complement(one))))
| composition(top,complement(converse(composition(top,complement(one))))) = complement(converse(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(one))))),composition(one,complement(converse(composition(top,complement(one)))))) )],[refute_0_3877,refute_0_3878]) ).
cnf(refute_0_3880,plain,
composition(top,complement(converse(composition(top,complement(one))))) = complement(converse(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(one))))),complement(converse(composition(top,complement(one))))) )],[refute_0_3869,refute_0_3879]) ).
cnf(refute_0_3881,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(top,complement(converse(composition(top,complement(one))))) != complement(converse(composition(top,complement(one))))
| composition(top,complement(converse(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(converse(composition(top,complement(one))))))),bind(Y,$fot(complement(converse(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_3882,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(top,complement(converse(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(one))))),complement(converse(composition(top,complement(one))))) )],[refute_0_3880,refute_0_3881]) ).
cnf(refute_0_3883,plain,
composition(top,complement(converse(composition(top,complement(one))))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_3868,refute_0_3882]) ).
cnf(refute_0_3884,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))))]]) ).
cnf(refute_0_3885,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one))))))
| composition(top,complement(converse(composition(top,complement(one))))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one))))))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_3886,plain,
( composition(top,complement(converse(composition(top,complement(one))))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one))))))) )],[refute_0_3884,refute_0_3885]) ).
cnf(refute_0_3887,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(one))))),complement(composition(top,complement(one)))) )],[refute_0_3883,refute_0_3886]) ).
cnf(refute_0_3888,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(top)),bind(X2,$fot(complement(converse(composition(top,complement(one))))))]]) ).
cnf(refute_0_3889,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one))))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_3890,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one))))))) )],[refute_0_3888,refute_0_3889]) ).
cnf(refute_0_3891,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,complement(converse(composition(top,complement(one)))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) )],[refute_0_3887,refute_0_3890]) ).
cnf(refute_0_3892,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))))]]) ).
cnf(refute_0_3893,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_3894,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))))) )],[refute_0_3892,refute_0_3893]) ).
cnf(refute_0_3895,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) )],[refute_0_3891,refute_0_3894]) ).
cnf(refute_0_3896,plain,
composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(X2,$fot(complement(converse(composition(top,complement(one))))))]]) ).
cnf(refute_0_3897,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))))
| composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))))),bind(Y,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))))),bind(Z,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_3898,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one))))))) )],[refute_0_3896,refute_0_3897]) ).
cnf(refute_0_3899,plain,
composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),complement(converse(composition(top,complement(one)))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))) )],[refute_0_3895,refute_0_3898]) ).
cnf(refute_0_3900,plain,
( composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one)))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one)))))) ),[1],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_3901,plain,
( zero != composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one)))))
| zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one))))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))) )],[refute_0_3899,refute_0_3900]) ).
cnf(refute_0_3902,plain,
zero = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(zero,composition(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(converse(composition(top,complement(one)))))) )],[refute_0_3552,refute_0_3901]) ).
cnf(refute_0_3903,plain,
( zero != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_3904,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))) )],[refute_0_3902,refute_0_3903]) ).
cnf(refute_0_3905,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) != zero
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3906,plain,
( join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),zero) )],[refute_0_3904,refute_0_3905]) ).
cnf(refute_0_3907,plain,
join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_3503,refute_0_3906]) ).
cnf(refute_0_3908,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) = complement(composition(top,complement(one))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(composition(top,complement(one))))),bind(X1,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3909,plain,
converse(complement(composition(X_119,top))) = complement(converse(composition(X_119,top))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(X_119,top)))]]) ).
cnf(refute_0_3910,plain,
composition(converse(complement(composition(X_119,top))),X_119) = composition(converse(complement(composition(X_119,top))),X_119),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(X_119,top))),X_119))]]) ).
cnf(refute_0_3911,plain,
( composition(converse(complement(composition(X_119,top))),X_119) != composition(converse(complement(composition(X_119,top))),X_119)
| converse(complement(composition(X_119,top))) != complement(converse(composition(X_119,top)))
| composition(converse(complement(composition(X_119,top))),X_119) = composition(complement(converse(composition(X_119,top))),X_119) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(X_119,top))),X_119),composition(converse(complement(composition(X_119,top))),X_119)) ),[1,0],$fot(complement(converse(composition(X_119,top))))]]) ).
cnf(refute_0_3912,plain,
( converse(complement(composition(X_119,top))) != complement(converse(composition(X_119,top)))
| composition(converse(complement(composition(X_119,top))),X_119) = composition(complement(converse(composition(X_119,top))),X_119) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_119,top))),X_119),composition(converse(complement(composition(X_119,top))),X_119)) )],[refute_0_3910,refute_0_3911]) ).
cnf(refute_0_3913,plain,
composition(converse(complement(composition(X_119,top))),X_119) = composition(complement(converse(composition(X_119,top))),X_119),
inference(resolve,[$cnf( $equal(converse(complement(composition(X_119,top))),complement(converse(composition(X_119,top)))) )],[refute_0_3909,refute_0_3912]) ).
cnf(refute_0_3914,plain,
( composition(converse(complement(composition(X_119,top))),X_119) != composition(complement(converse(composition(X_119,top))),X_119)
| zero != composition(converse(complement(composition(X_119,top))),X_119)
| zero = composition(complement(converse(composition(X_119,top))),X_119) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_119,top))),X_119)) ),[1],$fot(composition(complement(converse(composition(X_119,top))),X_119))]]) ).
cnf(refute_0_3915,plain,
( zero != composition(converse(complement(composition(X_119,top))),X_119)
| zero = composition(complement(converse(composition(X_119,top))),X_119) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_119,top))),X_119),composition(complement(converse(composition(X_119,top))),X_119)) )],[refute_0_3913,refute_0_3914]) ).
cnf(refute_0_3916,plain,
zero = composition(complement(converse(composition(X_119,top))),X_119),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_119,top))),X_119)) )],[refute_0_1624,refute_0_3915]) ).
cnf(refute_0_3917,plain,
zero = composition(complement(converse(composition(converse(X0),top))),converse(X0)),
inference(subst,[],[refute_0_3916:[bind(X_119,$fot(converse(X0)))]]) ).
cnf(refute_0_3918,plain,
converse(composition(converse(X0),top)) = composition(converse(top),X0),
inference(subst,[],[refute_0_62:[bind(X_12,$fot(top))]]) ).
cnf(refute_0_3919,plain,
( converse(composition(converse(X0),top)) != composition(converse(top),X0)
| zero != composition(complement(converse(composition(converse(X0),top))),converse(X0))
| zero = composition(complement(composition(converse(top),X0)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(converse(X0),top))),converse(X0))) ),[1,0,0],$fot(composition(converse(top),X0))]]) ).
cnf(refute_0_3920,plain,
( zero != composition(complement(converse(composition(converse(X0),top))),converse(X0))
| zero = composition(complement(composition(converse(top),X0)),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),top)),composition(converse(top),X0)) )],[refute_0_3918,refute_0_3919]) ).
cnf(refute_0_3921,plain,
zero = composition(complement(composition(converse(top),X0)),converse(X0)),
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(converse(X0),top))),converse(X0))) )],[refute_0_3917,refute_0_3920]) ).
cnf(refute_0_3922,plain,
composition(converse(top),X0) = composition(converse(top),X0),
introduced(tautology,[refl,[$fot(composition(converse(top),X0))]]) ).
cnf(refute_0_3923,plain,
( composition(converse(top),X0) != composition(converse(top),X0)
| converse(top) != top
| composition(converse(top),X0) = composition(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),X0),composition(converse(top),X0)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3924,plain,
( converse(top) != top
| composition(converse(top),X0) = composition(top,X0) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X0),composition(converse(top),X0)) )],[refute_0_3922,refute_0_3923]) ).
cnf(refute_0_3925,plain,
composition(converse(top),X0) = composition(top,X0),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_3924]) ).
cnf(refute_0_3926,plain,
complement(composition(converse(top),X0)) = complement(composition(converse(top),X0)),
introduced(tautology,[refl,[$fot(complement(composition(converse(top),X0)))]]) ).
cnf(refute_0_3927,plain,
( complement(composition(converse(top),X0)) != complement(composition(converse(top),X0))
| composition(converse(top),X0) != composition(top,X0)
| complement(composition(converse(top),X0)) = complement(composition(top,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(top),X0)),complement(composition(converse(top),X0))) ),[1,0],$fot(composition(top,X0))]]) ).
cnf(refute_0_3928,plain,
( composition(converse(top),X0) != composition(top,X0)
| complement(composition(converse(top),X0)) = complement(composition(top,X0)) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(top),X0)),complement(composition(converse(top),X0))) )],[refute_0_3926,refute_0_3927]) ).
cnf(refute_0_3929,plain,
complement(composition(converse(top),X0)) = complement(composition(top,X0)),
inference(resolve,[$cnf( $equal(composition(converse(top),X0),composition(top,X0)) )],[refute_0_3925,refute_0_3928]) ).
cnf(refute_0_3930,plain,
composition(complement(composition(converse(top),X0)),converse(X0)) = composition(complement(composition(converse(top),X0)),converse(X0)),
introduced(tautology,[refl,[$fot(composition(complement(composition(converse(top),X0)),converse(X0)))]]) ).
cnf(refute_0_3931,plain,
( complement(composition(converse(top),X0)) != complement(composition(top,X0))
| composition(complement(composition(converse(top),X0)),converse(X0)) != composition(complement(composition(converse(top),X0)),converse(X0))
| composition(complement(composition(converse(top),X0)),converse(X0)) = composition(complement(composition(top,X0)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(converse(top),X0)),converse(X0)),composition(complement(composition(converse(top),X0)),converse(X0))) ),[1,0],$fot(complement(composition(top,X0)))]]) ).
cnf(refute_0_3932,plain,
( complement(composition(converse(top),X0)) != complement(composition(top,X0))
| composition(complement(composition(converse(top),X0)),converse(X0)) = composition(complement(composition(top,X0)),converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(converse(top),X0)),converse(X0)),composition(complement(composition(converse(top),X0)),converse(X0))) )],[refute_0_3930,refute_0_3931]) ).
cnf(refute_0_3933,plain,
composition(complement(composition(converse(top),X0)),converse(X0)) = composition(complement(composition(top,X0)),converse(X0)),
inference(resolve,[$cnf( $equal(complement(composition(converse(top),X0)),complement(composition(top,X0))) )],[refute_0_3929,refute_0_3932]) ).
cnf(refute_0_3934,plain,
( composition(complement(composition(converse(top),X0)),converse(X0)) != composition(complement(composition(top,X0)),converse(X0))
| zero != composition(complement(composition(converse(top),X0)),converse(X0))
| zero = composition(complement(composition(top,X0)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(composition(converse(top),X0)),converse(X0))) ),[1],$fot(composition(complement(composition(top,X0)),converse(X0)))]]) ).
cnf(refute_0_3935,plain,
( zero != composition(complement(composition(converse(top),X0)),converse(X0))
| zero = composition(complement(composition(top,X0)),converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(converse(top),X0)),converse(X0)),composition(complement(composition(top,X0)),converse(X0))) )],[refute_0_3933,refute_0_3934]) ).
cnf(refute_0_3936,plain,
zero = composition(complement(composition(top,X0)),converse(X0)),
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(converse(top),X0)),converse(X0))) )],[refute_0_3921,refute_0_3935]) ).
cnf(refute_0_3937,plain,
zero = composition(complement(composition(top,composition(top,complement(one)))),converse(composition(top,complement(one)))),
inference(subst,[],[refute_0_3936:[bind(X0,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3938,plain,
( converse(composition(top,complement(one))) != composition(top,complement(one))
| zero != composition(complement(composition(top,composition(top,complement(one)))),converse(composition(top,complement(one))))
| zero = composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(composition(top,composition(top,complement(one)))),converse(composition(top,complement(one))))) ),[1,1],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3939,plain,
( zero != composition(complement(composition(top,composition(top,complement(one)))),converse(composition(top,complement(one))))
| zero = composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3864,refute_0_3938]) ).
cnf(refute_0_3940,plain,
zero = composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,composition(top,complement(one)))),converse(composition(top,complement(one))))) )],[refute_0_3937,refute_0_3939]) ).
cnf(refute_0_3941,plain,
composition(top,composition(top,complement(one))) = composition(top,complement(one)),
inference(subst,[],[refute_0_803:[bind(X2,$fot(complement(one)))]]) ).
cnf(refute_0_3942,plain,
complement(composition(top,composition(top,complement(one)))) = complement(composition(top,composition(top,complement(one)))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(top,complement(one)))))]]) ).
cnf(refute_0_3943,plain,
( complement(composition(top,composition(top,complement(one)))) != complement(composition(top,composition(top,complement(one))))
| composition(top,composition(top,complement(one))) != composition(top,complement(one))
| complement(composition(top,composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(top,complement(one)))),complement(composition(top,composition(top,complement(one))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_3944,plain,
( composition(top,composition(top,complement(one))) != composition(top,complement(one))
| complement(composition(top,composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,complement(one)))),complement(composition(top,composition(top,complement(one))))) )],[refute_0_3942,refute_0_3943]) ).
cnf(refute_0_3945,plain,
complement(composition(top,composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(one))),composition(top,complement(one))) )],[refute_0_3941,refute_0_3944]) ).
cnf(refute_0_3946,plain,
composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) = composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))))]]) ).
cnf(refute_0_3947,plain,
( complement(composition(top,composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) != composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))
| composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))),composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_3948,plain,
( complement(composition(top,composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))),composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))) )],[refute_0_3946,refute_0_3947]) ).
cnf(refute_0_3949,plain,
composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) = composition(complement(composition(top,complement(one))),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_3945,refute_0_3948]) ).
cnf(refute_0_3950,plain,
( composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))) != composition(complement(composition(top,complement(one))),composition(top,complement(one)))
| zero != composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))
| zero = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))) ),[1],$fot(composition(complement(composition(top,complement(one))),composition(top,complement(one))))]]) ).
cnf(refute_0_3951,plain,
( zero != composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))
| zero = composition(complement(composition(top,complement(one))),composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one))),composition(complement(composition(top,complement(one))),composition(top,complement(one)))) )],[refute_0_3949,refute_0_3950]) ).
cnf(refute_0_3952,plain,
zero = composition(complement(composition(top,complement(one))),composition(top,complement(one))),
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,composition(top,complement(one)))),composition(top,complement(one)))) )],[refute_0_3940,refute_0_3951]) ).
cnf(refute_0_3953,plain,
( zero != composition(complement(composition(top,complement(one))),composition(top,complement(one)))
| composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))]]) ).
cnf(refute_0_3954,plain,
composition(complement(composition(top,complement(one))),composition(top,complement(one))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,complement(one))),composition(top,complement(one)))) )],[refute_0_3952,refute_0_3953]) ).
cnf(refute_0_3955,plain,
( composition(complement(composition(top,complement(one))),composition(top,complement(one))) != zero
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))),complement(composition(top,complement(one)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3956,plain,
( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),composition(top,complement(one))),zero) )],[refute_0_3954,refute_0_3955]) ).
cnf(refute_0_3957,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(composition(complement(composition(top,complement(one))),composition(top,complement(one)))))),complement(composition(top,complement(one)))) )],[refute_0_3908,refute_0_3956]) ).
cnf(refute_0_3958,plain,
composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),complement(zero)))]]) ).
cnf(refute_0_3959,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),complement(zero))
| composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3960,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) )],[refute_0_3958,refute_0_3959]) ).
cnf(refute_0_3961,plain,
composition(complement(composition(top,complement(one))),complement(zero)) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_3960]) ).
cnf(refute_0_3962,plain,
converse(complement(composition(top,complement(one)))) = complement(converse(composition(top,complement(one)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_3963,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| converse(complement(composition(top,complement(one)))) != complement(converse(composition(top,complement(one))))
| converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(composition(top,complement(one)))))),bind(Y,$fot(complement(converse(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_3964,plain,
( complement(converse(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(converse(composition(top,complement(one))))) )],[refute_0_3962,refute_0_3963]) ).
cnf(refute_0_3965,plain,
converse(complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_3868,refute_0_3964]) ).
cnf(refute_0_3966,plain,
composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(converse(complement(composition(top,complement(one)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,complement(one)))),complement(zero)))]]) ).
cnf(refute_0_3967,plain,
( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(converse(complement(composition(top,complement(one)))),complement(zero))
| converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(converse(complement(composition(top,complement(one)))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_3968,plain,
( converse(complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(converse(complement(composition(top,complement(one)))),complement(zero))) )],[refute_0_3966,refute_0_3967]) ).
cnf(refute_0_3969,plain,
composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_3965,refute_0_3968]) ).
cnf(refute_0_3970,plain,
( composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),complement(zero))
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,complement(one)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(one))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_3971,plain,
( composition(complement(composition(top,complement(one))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(complement(composition(top,complement(one))),complement(zero))) )],[refute_0_3969,refute_0_3970]) ).
cnf(refute_0_3972,plain,
composition(converse(complement(composition(top,complement(one)))),complement(zero)) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(zero)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3961,refute_0_3971]) ).
cnf(refute_0_3973,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))))]]) ).
cnf(refute_0_3974,plain,
( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,complement(one))),top))]]) ).
cnf(refute_0_3975,plain,
( composition(converse(complement(composition(top,complement(one)))),complement(zero)) != composition(complement(composition(top,complement(one))),top)
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero)))) )],[refute_0_3973,refute_0_3974]) ).
cnf(refute_0_3976,plain,
join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) = join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(one)))),complement(zero)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3972,refute_0_3975]) ).
cnf(refute_0_3977,plain,
( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),complement(composition(top,complement(one)))) ),[0],$fot(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_3978,plain,
( join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top))) )],[refute_0_3976,refute_0_3977]) ).
cnf(refute_0_3979,plain,
join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(converse(complement(composition(top,complement(one)))),complement(zero))),complement(composition(top,complement(one)))) )],[refute_0_3957,refute_0_3978]) ).
cnf(refute_0_3980,plain,
composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),join(one,top)))]]) ).
cnf(refute_0_3981,plain,
( composition(complement(composition(top,complement(one))),join(one,top)) != composition(complement(composition(top,complement(one))),join(one,top))
| join(one,top) != top
| composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),join(one,top)),composition(complement(composition(top,complement(one))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3982,plain,
( join(one,top) != top
| composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),join(one,top)),composition(complement(composition(top,complement(one))),join(one,top))) )],[refute_0_3980,refute_0_3981]) ).
cnf(refute_0_3983,plain,
composition(complement(composition(top,complement(one))),join(one,top)) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_3982]) ).
cnf(refute_0_3984,plain,
join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),join(one,top)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(complement(composition(top,complement(one))))),bind(X_426,$fot(top))]]) ).
cnf(refute_0_3985,plain,
( composition(complement(composition(top,complement(one))),join(one,top)) != composition(complement(composition(top,complement(one))),top)
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != composition(complement(composition(top,complement(one))),join(one,top))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)))),bind(Y,$fot(composition(complement(composition(top,complement(one))),join(one,top)))),bind(Z,$fot(composition(complement(composition(top,complement(one))),top)))]]) ).
cnf(refute_0_3986,plain,
( composition(complement(composition(top,complement(one))),join(one,top)) != composition(complement(composition(top,complement(one))),top)
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),join(one,top))) )],[refute_0_3984,refute_0_3985]) ).
cnf(refute_0_3987,plain,
join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),join(one,top)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3983,refute_0_3986]) ).
cnf(refute_0_3988,plain,
( join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
| join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != composition(complement(composition(top,complement(one))),top)
| composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),complement(composition(top,complement(one)))) ),[0],$fot(composition(complement(composition(top,complement(one))),top))]]) ).
cnf(refute_0_3989,plain,
( join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)) != complement(composition(top,complement(one)))
| composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3987,refute_0_3988]) ).
cnf(refute_0_3990,plain,
composition(complement(composition(top,complement(one))),top) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(one))),composition(complement(composition(top,complement(one))),top)),complement(composition(top,complement(one)))) )],[refute_0_3979,refute_0_3989]) ).
cnf(refute_0_3991,plain,
composition(complement(composition(top,complement(one))),complement(converse(zero))) = composition(complement(composition(top,complement(one))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(one))),complement(converse(zero))))]]) ).
cnf(refute_0_3992,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,complement(one))),complement(converse(zero))) != composition(complement(composition(top,complement(one))),complement(converse(zero)))
| composition(complement(composition(top,complement(one))),complement(converse(zero))) = composition(complement(composition(top,complement(one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(converse(zero))),composition(complement(composition(top,complement(one))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3993,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,complement(one))),complement(converse(zero))) = composition(complement(composition(top,complement(one))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(converse(zero))),composition(complement(composition(top,complement(one))),complement(converse(zero)))) )],[refute_0_3991,refute_0_3992]) ).
cnf(refute_0_3994,plain,
composition(complement(composition(top,complement(one))),complement(converse(zero))) = composition(complement(composition(top,complement(one))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_3993]) ).
cnf(refute_0_3995,plain,
( composition(complement(composition(top,complement(one))),complement(converse(zero))) != composition(complement(composition(top,complement(one))),top)
| composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
| composition(complement(composition(top,complement(one))),complement(converse(zero))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(composition(top,complement(one))),complement(converse(zero))))),bind(Y,$fot(composition(complement(composition(top,complement(one))),top))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_3996,plain,
( composition(complement(composition(top,complement(one))),top) != complement(composition(top,complement(one)))
| composition(complement(composition(top,complement(one))),complement(converse(zero))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(converse(zero))),composition(complement(composition(top,complement(one))),top)) )],[refute_0_3994,refute_0_3995]) ).
cnf(refute_0_3997,plain,
composition(complement(composition(top,complement(one))),complement(converse(zero))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),top),complement(composition(top,complement(one)))) )],[refute_0_3990,refute_0_3996]) ).
cnf(refute_0_3998,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))))]]) ).
cnf(refute_0_3999,plain,
( composition(complement(composition(top,complement(one))),complement(converse(zero))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero))))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero))))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_4000,plain,
( composition(complement(composition(top,complement(one))),complement(converse(zero))) != complement(composition(top,complement(one)))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero))))) )],[refute_0_3998,refute_0_3999]) ).
cnf(refute_0_4001,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(one))),complement(converse(zero))),complement(composition(top,complement(one)))) )],[refute_0_3997,refute_0_4000]) ).
cnf(refute_0_4002,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(composition(top,complement(one))))),bind(X2,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_4003,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))),bind(Y,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_4004,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero))))) )],[refute_0_4002,refute_0_4003]) ).
cnf(refute_0_4005,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) = composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(one))),complement(converse(zero)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) )],[refute_0_4001,refute_0_4004]) ).
cnf(refute_0_4006,plain,
join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))))]]) ).
cnf(refute_0_4007,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_4008,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))) != composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))) )],[refute_0_4006,refute_0_4007]) ).
cnf(refute_0_4009,plain,
join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) )],[refute_0_4005,refute_0_4008]) ).
cnf(refute_0_4010,plain,
complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4011,plain,
complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4012,plain,
( complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[1,0],$fot(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4013,plain,
( converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_4011,refute_0_4012]) ).
cnf(refute_0_4014,plain,
complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2446,refute_0_4013]) ).
cnf(refute_0_4015,plain,
( complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4016,plain,
( complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_4014,refute_0_4015]) ).
cnf(refute_0_4017,plain,
complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4010,refute_0_4016]) ).
cnf(refute_0_4018,plain,
join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))))]]) ).
cnf(refute_0_4019,plain,
( complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))) ),[1,0],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4020,plain,
( complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))) )],[refute_0_4018,refute_0_4019]) ).
cnf(refute_0_4021,plain,
join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4017,refute_0_4020]) ).
cnf(refute_0_4022,plain,
( join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))))),bind(Y,$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))))),bind(Z,$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_4023,plain,
( join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero))))) )],[refute_0_4021,refute_0_4022]) ).
cnf(refute_0_4024,plain,
join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) = join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))) )],[refute_0_4009,refute_0_4023]) ).
cnf(refute_0_4025,plain,
( join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[0],$fot(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_4026,plain,
( join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))) )],[refute_0_4024,refute_0_4025]) ).
cnf(refute_0_4027,plain,
( complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[1],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4028,plain,
( join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4017,refute_0_4027]) ).
cnf(refute_0_4029,plain,
( join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))) != complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_4026,refute_0_4028]) ).
cnf(refute_0_4030,plain,
join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))),complement(converse(zero)))),complement(converse(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_3907,refute_0_4029]) ).
cnf(refute_0_4031,plain,
( converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) = composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))) ),[0,0,0],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4032,plain,
( converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) = composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4030,refute_0_4031]) ).
cnf(refute_0_4033,plain,
converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) = composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))) )],[refute_0_3502,refute_0_4032]) ).
cnf(refute_0_4034,plain,
converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) = composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_62:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4035,plain,
( converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) != composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)),composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))) ),[0],$fot(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4036,plain,
( converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)),composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4034,refute_0_4035]) ).
cnf(refute_0_4037,plain,
composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)),
inference(subst,[],[refute_0_2795:[bind(X_14,$fot(X_12))]]) ).
cnf(refute_0_4038,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) = composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12))]]) ).
cnf(refute_0_4039,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) != composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)
| converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12),composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) ),[1,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4040,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12),composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) )],[refute_0_4038,refute_0_4039]) ).
cnf(refute_0_4041,plain,
composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) = composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2150,refute_0_4040]) ).
cnf(refute_0_4042,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)))]]) ).
cnf(refute_0_4043,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12))) ),[1,1],$fot(composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12))]]) ).
cnf(refute_0_4044,plain,
( composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12) != composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12))) )],[refute_0_4042,refute_0_4043]) ).
cnf(refute_0_4045,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12),composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) )],[refute_0_4041,refute_0_4044]) ).
cnf(refute_0_4046,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)))),bind(Y,$fot(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))))]]) ).
cnf(refute_0_4047,plain,
( composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12))) )],[refute_0_4045,refute_0_4046]) ).
cnf(refute_0_4048,plain,
composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) )],[refute_0_4037,refute_0_4047]) ).
cnf(refute_0_4049,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) = composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_467,$fot(X_12))]]) ).
cnf(refute_0_4050,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) != composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12))
| composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12))),bind(Y,$fot(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))))]]) ).
cnf(refute_0_4051,plain,
( composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12),composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12))) )],[refute_0_4049,refute_0_4050]) ).
cnf(refute_0_4052,plain,
composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(complement(composition(top,skolemFOFtoCNF_X0))),X_12)),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) )],[refute_0_4048,refute_0_4051]) ).
cnf(refute_0_4053,plain,
composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12),
introduced(tautology,[refl,[$fot(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))]]) ).
cnf(refute_0_4054,plain,
( composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) != composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)
| join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12),composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) ),[1,0],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4055,plain,
( join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) ),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12),composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) )],[refute_0_4053,refute_0_4054]) ).
cnf(refute_0_4056,plain,
composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4030,refute_0_4055]) ).
cnf(refute_0_4057,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) != composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)
| composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))),bind(Y,$fot(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12))),bind(Z,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))))]]) ).
cnf(refute_0_4058,plain,
( composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12),composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) )],[refute_0_4052,refute_0_4058]) ).
cnf(refute_0_4060,plain,
converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) = converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)))]]) ).
cnf(refute_0_4061,plain,
( composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) != converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))
| converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))]]) ).
cnf(refute_0_4062,plain,
( composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))
| converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))) )],[refute_0_4060,refute_0_4061]) ).
cnf(refute_0_4063,plain,
converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))),
inference(resolve,[$cnf( $equal(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) )],[refute_0_4059,refute_0_4062]) ).
cnf(refute_0_4064,plain,
( converse(composition(join(converse(X0),X_5),X_12)) != composition(converse(X_12),join(X0,converse(X_5)))
| composition(converse(X_12),join(X0,converse(X_5))) = converse(composition(join(converse(X0),X_5),X_12)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(join(converse(X0),X_5),X_12)))),bind(Y,$fot(composition(converse(X_12),join(X0,converse(X_5)))))]]) ).
cnf(refute_0_4065,plain,
composition(converse(X_12),join(X0,converse(X_5))) = converse(composition(join(converse(X0),X_5),X_12)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X0),X_5),X_12)),composition(converse(X_12),join(X0,converse(X_5)))) )],[refute_0_3501,refute_0_4064]) ).
cnf(refute_0_4066,plain,
composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) = converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),
inference(subst,[],[refute_0_4065:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(X_5,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_4067,plain,
( composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) != converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))
| converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))
| composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))),bind(Y,$fot(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))))]]) ).
cnf(refute_0_4068,plain,
( converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))
| composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))),converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12))) )],[refute_0_4066,refute_0_4067]) ).
cnf(refute_0_4069,plain,
composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))),X_12)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))) )],[refute_0_4063,refute_0_4068]) ).
cnf(refute_0_4070,plain,
( composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))) ),[0],$fot(composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_4071,plain,
( composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one))))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12)))) )],[refute_0_4069,refute_0_4070]) ).
cnf(refute_0_4072,plain,
( converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)) != composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))
| composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))) )],[refute_0_4036,refute_0_4071]) ).
cnf(refute_0_4073,plain,
composition(converse(X_12),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,X_12))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),X_12)),composition(converse(X_12),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(composition(top,complement(one)))))))) )],[refute_0_4033,refute_0_4072]) ).
cnf(refute_0_4074,plain,
composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4073:[bind(X_12,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4075,plain,
( composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4076,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_4074,refute_0_4075]) ).
cnf(refute_0_4077,plain,
composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(top,join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3497,refute_0_4076]) ).
cnf(refute_0_4078,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4079,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4077,refute_0_4078]) ).
cnf(refute_0_4080,plain,
composition(complement(composition(top,skolemFOFtoCNF_X0)),top) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),composition(converse(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_3444,refute_0_4079]) ).
cnf(refute_0_4081,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),top) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(Y,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4082,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = composition(complement(composition(top,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),top),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4080,refute_0_4081]) ).
cnf(refute_0_4083,plain,
complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4084,plain,
( complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_4085,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != composition(complement(composition(top,skolemFOFtoCNF_X0)),top)
| complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4083,refute_0_4084]) ).
cnf(refute_0_4086,plain,
complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) )],[refute_0_4082,refute_0_4085]) ).
cnf(refute_0_4087,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top))]]) ).
cnf(refute_0_4088,plain,
( complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) ),[1,0],$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4089,plain,
( complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top)) )],[refute_0_4087,refute_0_4088]) ).
cnf(refute_0_4090,plain,
composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) = composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4086,refute_0_4089]) ).
cnf(refute_0_4091,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[0],$fot(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top))]]) ).
cnf(refute_0_4092,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) = complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) )],[refute_0_4090,refute_0_4091]) ).
cnf(refute_0_4093,plain,
( complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[1],$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4094,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4086,refute_0_4093]) ).
cnf(refute_0_4095,plain,
( composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top) != complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4092,refute_0_4094]) ).
cnf(refute_0_4096,plain,
composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) = complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),top),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_2463,refute_0_4095]) ).
cnf(refute_0_4097,plain,
( composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top) != complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),complement(complement(composition(top,skolemFOFtoCNF_X0)))) ),[0,1],$fot(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4098,plain,
( join(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4096,refute_0_4097]) ).
cnf(refute_0_4099,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),top)),complement(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_1650,refute_0_4098]) ).
cnf(refute_0_4100,plain,
join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4101,plain,
( join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(complement(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4102,plain,
( join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4100,refute_0_4101]) ).
cnf(refute_0_4103,plain,
( complement(complement(composition(top,skolemFOFtoCNF_X0))) != composition(top,skolemFOFtoCNF_X0)
| complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(complement(composition(top,skolemFOFtoCNF_X0)))) ),[1],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4104,plain,
( complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,skolemFOFtoCNF_X0))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2235,refute_0_4103]) ).
cnf(refute_0_4105,plain,
( join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(complement(composition(top,skolemFOFtoCNF_X0)))
| complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4102,refute_0_4104]) ).
cnf(refute_0_4106,plain,
complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4099,refute_0_4105]) ).
cnf(refute_0_4107,plain,
( complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(top,skolemFOFtoCNF_X0)
| join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X2)) != join(X_95,X2)
| join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) = join(X_95,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X2)),join(X_95,X2)) ),[0,1,0,1],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4108,plain,
( join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X2)) != join(X_95,X2)
| join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) = join(X_95,X2) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_4106,refute_0_4107]) ).
cnf(refute_0_4109,plain,
join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) = join(X_95,X2),
inference(resolve,[$cnf( $equal(join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),X2)),join(X_95,X2)) )],[refute_0_1605,refute_0_4108]) ).
cnf(refute_0_4110,plain,
join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) = join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(meet(X_95,composition(top,skolemFOFtoCNF_X0)))),bind(X_257,$fot(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(X_258,$fot(X2))]]) ).
cnf(refute_0_4111,plain,
( join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) != join(X_95,X2)
| join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) != join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(X_95,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)),join(X_95,X2)) ),[0],$fot(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_4112,plain,
( join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)) != join(X_95,X2)
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(X_95,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) )],[refute_0_4110,refute_0_4111]) ).
cnf(refute_0_4113,plain,
join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(X_95,X2),
inference(resolve,[$cnf( $equal(join(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),X2)),join(X_95,X2)) )],[refute_0_4109,refute_0_4112]) ).
cnf(refute_0_4114,plain,
join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))) = join(X2,X_95),
inference(subst,[],[refute_0_2539:[bind(X1,$fot(composition(top,skolemFOFtoCNF_X0))),bind(X_256,$fot(X2))]]) ).
cnf(refute_0_4115,plain,
join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_868:[bind(X_473,$fot(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4116,plain,
( complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != composition(top,skolemFOFtoCNF_X0)
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) != meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0,1,0,1],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4117,plain,
( join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) != meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_4106,refute_0_4116]) ).
cnf(refute_0_4118,plain,
join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,complement(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4115,refute_0_4117]) ).
cnf(refute_0_4119,plain,
( X_275 != join(X_275,meet(X_275,X1))
| join(X_275,meet(X_275,X1)) = X_275 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_275)),bind(Y,$fot(join(X_275,meet(X_275,X1))))]]) ).
cnf(refute_0_4120,plain,
join(X_275,meet(X_275,X1)) = X_275,
inference(resolve,[$cnf( $equal(X_275,join(X_275,meet(X_275,X1))) )],[refute_0_2554,refute_0_4119]) ).
cnf(refute_0_4121,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4120:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),bind(X_275,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4122,plain,
complement(composition(top,composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4123,plain,
( complement(composition(top,composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,composition(top,skolemFOFtoCNF_X0)))
| composition(top,composition(top,skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| complement(composition(top,composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4124,plain,
( composition(top,composition(top,skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| complement(composition(top,composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4122,refute_0_4123]) ).
cnf(refute_0_4125,plain,
complement(composition(top,composition(top,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,skolemFOFtoCNF_X0)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2259,refute_0_4124]) ).
cnf(refute_0_4126,plain,
join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4127,plain,
( complement(composition(top,composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4128,plain,
( complement(composition(top,composition(top,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4125,refute_0_4128]) ).
cnf(refute_0_4130,plain,
( join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4131,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4129,refute_0_4130]) ).
cnf(refute_0_4132,plain,
join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4121,refute_0_4131]) ).
cnf(refute_0_4133,plain,
join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),bind(X_20,$fot(complement(composition(top,composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4134,plain,
( join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) != join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4135,plain,
( join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))),join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4133,refute_0_4134]) ).
cnf(refute_0_4136,plain,
join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(top,skolemFOFtoCNF_X0))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4132,refute_0_4135]) ).
cnf(refute_0_4137,plain,
( join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) != meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| complement(composition(top,skolemFOFtoCNF_X0)) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) ),[0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4138,plain,
( join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))) != meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| complement(composition(top,skolemFOFtoCNF_X0)) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
complement(composition(top,skolemFOFtoCNF_X0)) = meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,composition(top,skolemFOFtoCNF_X0)))),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4118,refute_0_4138]) ).
cnf(refute_0_4140,plain,
( complement(composition(top,skolemFOFtoCNF_X0)) != meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))
| meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4141,plain,
meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(top,skolemFOFtoCNF_X0)),meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) )],[refute_0_4139,refute_0_4140]) ).
cnf(refute_0_4142,plain,
meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4143,plain,
( meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))
| meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != complement(composition(top,skolemFOFtoCNF_X0))
| meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4144,plain,
( meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)) != complement(composition(top,skolemFOFtoCNF_X0))
| meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) )],[refute_0_4142,refute_0_4143]) ).
cnf(refute_0_4145,plain,
meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) = meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4141,refute_0_4144]) ).
cnf(refute_0_4146,plain,
join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),
introduced(tautology,[refl,[$fot(join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4147,plain,
( join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))
| meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))
| join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) ),[1,1],$fot(meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4148,plain,
( meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))) != meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))
| join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) )],[refute_0_4146,refute_0_4147]) ).
cnf(refute_0_4149,plain,
join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) = join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))),meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_4145,refute_0_4148]) ).
cnf(refute_0_4150,plain,
join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),
introduced(tautology,[refl,[$fot(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_4151,plain,
( join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) ),[1,1],$fot(join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4152,plain,
( join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))) != join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))))) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top)))),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_4149,refute_0_4152]) ).
cnf(refute_0_4154,plain,
( join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))) != join(X2,X_95)
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))))
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(X2,X_95) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))))),bind(Y,$fot(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(X2,X_95)))]]) ).
cnf(refute_0_4155,plain,
( join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))) != join(X2,X_95)
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(X2,X_95) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_4153,refute_0_4154]) ).
cnf(refute_0_4156,plain,
join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) = join(X2,X_95),
inference(resolve,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,complement(composition(top,skolemFOFtoCNF_X0))))),join(X2,X_95)) )],[refute_0_4114,refute_0_4155]) ).
cnf(refute_0_4157,plain,
( join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != join(X2,X_95)
| join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != join(X_95,X2)
| join(X2,X_95) = join(X_95,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),join(X_95,X2)) ),[0],$fot(join(X2,X_95))]]) ).
cnf(refute_0_4158,plain,
( join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))) != join(X_95,X2)
| join(X2,X_95) = join(X_95,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),join(X2,X_95)) )],[refute_0_4156,refute_0_4157]) ).
cnf(refute_0_4159,plain,
join(X2,X_95) = join(X_95,X2),
inference(resolve,[$cnf( $equal(join(meet(X_95,composition(top,skolemFOFtoCNF_X0)),join(X2,meet(X_95,meet(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(composition(top,skolemFOFtoCNF_X0)),top))))),join(X_95,X2)) )],[refute_0_4113,refute_0_4158]) ).
cnf(refute_0_4160,plain,
( join(X2,X_95) != join(X_95,X2)
| join(X_95,X2) = join(X2,X_95) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X2,X_95))),bind(Y,$fot(join(X_95,X2)))]]) ).
cnf(refute_0_4161,plain,
join(X_95,X2) = join(X2,X_95),
inference(resolve,[$cnf( $equal(join(X2,X_95),join(X_95,X2)) )],[refute_0_4159,refute_0_4160]) ).
cnf(refute_0_4162,plain,
join(composition(X_556,complement(one)),complement(composition(X_556,top))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(composition(X_556,top)))),bind(X_95,$fot(composition(X_556,complement(one))))]]) ).
cnf(refute_0_4163,plain,
( converse(join(one,complement(one))) != converse(top)
| converse(top) != top
| converse(join(one,complement(one))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,complement(one))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_4164,plain,
( converse(top) != top
| converse(join(one,complement(one))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(one))),converse(top)) )],[refute_0_505,refute_0_4163]) ).
cnf(refute_0_4165,plain,
converse(join(one,complement(one))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_4164]) ).
cnf(refute_0_4166,plain,
composition(X_556,converse(join(one,complement(one)))) = composition(X_556,converse(join(one,complement(one)))),
introduced(tautology,[refl,[$fot(composition(X_556,converse(join(one,complement(one)))))]]) ).
cnf(refute_0_4167,plain,
( composition(X_556,converse(join(one,complement(one)))) != composition(X_556,converse(join(one,complement(one))))
| converse(join(one,complement(one))) != top
| composition(X_556,converse(join(one,complement(one)))) = composition(X_556,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_556,converse(join(one,complement(one)))),composition(X_556,converse(join(one,complement(one))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4168,plain,
( converse(join(one,complement(one))) != top
| composition(X_556,converse(join(one,complement(one)))) = composition(X_556,top) ),
inference(resolve,[$cnf( $equal(composition(X_556,converse(join(one,complement(one)))),composition(X_556,converse(join(one,complement(one))))) )],[refute_0_4166,refute_0_4167]) ).
cnf(refute_0_4169,plain,
composition(X_556,converse(join(one,complement(one)))) = composition(X_556,top),
inference(resolve,[$cnf( $equal(converse(join(one,complement(one))),top) )],[refute_0_4165,refute_0_4168]) ).
cnf(refute_0_4170,plain,
converse(composition(join(one,complement(one)),converse(X_556))) = composition(X_556,converse(join(one,complement(one)))),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(X_556)),bind(X_11,$fot(join(one,complement(one))))]]) ).
cnf(refute_0_4171,plain,
converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = composition(converse(X_12),join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_3501:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_5,$fot(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4172,plain,
converse(join(X_6,join(converse(X_7),X_5))) = join(X_7,converse(join(X_6,X_5))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(X_7)),bind(X_180,$fot(X_5)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_4173,plain,
( converse(join(X_6,join(converse(X_7),X_5))) != join(X_7,converse(join(X_6,X_5)))
| converse(join(X_6,join(converse(X_7),X_5))) != join(converse(X_6),join(X_7,converse(X_5)))
| join(X_7,converse(join(X_6,X_5))) = join(converse(X_6),join(X_7,converse(X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,join(converse(X_7),X_5))),join(converse(X_6),join(X_7,converse(X_5)))) ),[0],$fot(join(X_7,converse(join(X_6,X_5))))]]) ).
cnf(refute_0_4174,plain,
( converse(join(X_6,join(converse(X_7),X_5))) != join(converse(X_6),join(X_7,converse(X_5)))
| join(X_7,converse(join(X_6,X_5))) = join(converse(X_6),join(X_7,converse(X_5))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_7),X_5))),join(X_7,converse(join(X_6,X_5)))) )],[refute_0_4172,refute_0_4173]) ).
cnf(refute_0_4175,plain,
join(X_7,converse(join(X_6,X_5))) = join(converse(X_6),join(X_7,converse(X_5))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_7),X_5))),join(converse(X_6),join(X_7,converse(X_5)))) )],[refute_0_1350,refute_0_4174]) ).
cnf(refute_0_4176,plain,
join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(converse(X_285),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X_6,$fot(X_285)),bind(X_7,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4177,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_312:[bind(X0,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4178,plain,
one = join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1984:[bind(X1,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_95,$fot(one))]]) ).
cnf(refute_0_4179,plain,
X_115 = meet(X_115,join(complement(X_114),meet(X_115,X_114))),
inference(subst,[],[refute_0_2519:[bind(X_28,$fot(X_114)),bind(X_95,$fot(X_115))]]) ).
cnf(refute_0_4180,plain,
meet(X_114,X_115) = meet(X_115,X_114),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_114)),bind(X_28,$fot(X_115))]]) ).
cnf(refute_0_4181,plain,
( meet(X_114,X_115) != meet(X_115,X_114)
| meet(X_115,X_114) = meet(X_114,X_115) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_114,X_115))),bind(Y,$fot(meet(X_115,X_114)))]]) ).
cnf(refute_0_4182,plain,
meet(X_115,X_114) = meet(X_114,X_115),
inference(resolve,[$cnf( $equal(meet(X_114,X_115),meet(X_115,X_114)) )],[refute_0_4180,refute_0_4181]) ).
cnf(refute_0_4183,plain,
( X_115 != meet(X_115,join(complement(X_114),meet(X_115,X_114)))
| meet(X_115,X_114) != meet(X_114,X_115)
| X_115 = meet(X_115,join(complement(X_114),meet(X_114,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(X_115,meet(X_115,join(complement(X_114),meet(X_115,X_114)))) ),[1,1,1],$fot(meet(X_114,X_115))]]) ).
cnf(refute_0_4184,plain,
( X_115 != meet(X_115,join(complement(X_114),meet(X_115,X_114)))
| X_115 = meet(X_115,join(complement(X_114),meet(X_114,X_115))) ),
inference(resolve,[$cnf( $equal(meet(X_115,X_114),meet(X_114,X_115)) )],[refute_0_4182,refute_0_4183]) ).
cnf(refute_0_4185,plain,
X_115 = meet(X_115,join(complement(X_114),meet(X_114,X_115))),
inference(resolve,[$cnf( $equal(X_115,meet(X_115,join(complement(X_114),meet(X_115,X_114)))) )],[refute_0_4179,refute_0_4184]) ).
cnf(refute_0_4186,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4185:[bind(X_114,$fot(complement(one))),bind(X_115,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4187,plain,
complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_999:[bind(X_105,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4188,plain,
join(one,join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) = join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))))]]) ).
cnf(refute_0_4189,plain,
top = join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),
inference(subst,[],[refute_0_1565:[bind(X_21,$fot(X_212)),bind(X_22,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4190,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))))]]) ).
cnf(refute_0_4191,plain,
join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) )],[refute_0_4189,refute_0_4190]) ).
cnf(refute_0_4192,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) != top
| join(one,top) = join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))),join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4193,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| join(one,top) = join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),top) )],[refute_0_4191,refute_0_4192]) ).
cnf(refute_0_4194,plain,
join(one,top) = join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))),join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) )],[refute_0_4188,refute_0_4193]) ).
cnf(refute_0_4195,plain,
( join(one,top) != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| join(one,top) != top
| top = join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4196,plain,
( join(one,top) != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| top = join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_4195]) ).
cnf(refute_0_4197,plain,
join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) = converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))]]) ).
cnf(refute_0_4198,plain,
( join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) != converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| top != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| top = converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) ),[1],$fot(converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))))]]) ).
cnf(refute_0_4199,plain,
( top != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| top = converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) )],[refute_0_4197,refute_0_4198]) ).
cnf(refute_0_4200,plain,
( join(one,top) != join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))
| top = converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) )],[refute_0_4196,refute_0_4199]) ).
cnf(refute_0_4201,plain,
top = converse(join(one,join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212))))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,converse(join(X_212,complement(join(converse(skolemFOFtoCNF_X0),X_212)))))) )],[refute_0_4194,refute_0_4200]) ).
cnf(refute_0_4202,plain,
top = converse(join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4201:[bind(X_212,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4203,plain,
join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4204,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| top != converse(join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))
| top = converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4205,plain,
( top != converse(join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))
| top = converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_4203,refute_0_4204]) ).
cnf(refute_0_4206,plain,
top = converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(skolemFOFtoCNF_X0,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))) )],[refute_0_4202,refute_0_4205]) ).
cnf(refute_0_4207,plain,
join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(converse(skolemFOFtoCNF_X0))),bind(X_20,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4208,plain,
complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4209,plain,
( complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4210,plain,
( join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_4208,refute_0_4209]) ).
cnf(refute_0_4211,plain,
complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_4207,refute_0_4210]) ).
cnf(refute_0_4212,plain,
join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4213,plain,
( complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4214,plain,
( complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_4212,refute_0_4213]) ).
cnf(refute_0_4215,plain,
join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4211,refute_0_4214]) ).
cnf(refute_0_4216,plain,
converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4217,plain,
( converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))
| join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) ),[1,0],$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4218,plain,
( join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) )],[refute_0_4216,refute_0_4217]) ).
cnf(refute_0_4219,plain,
converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4215,refute_0_4218]) ).
cnf(refute_0_4220,plain,
( converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| top != converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))
| top = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) ),[1],$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4221,plain,
( top != converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))
| top = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4219,refute_0_4220]) ).
cnf(refute_0_4222,plain,
top = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))) )],[refute_0_4206,refute_0_4221]) ).
cnf(refute_0_4223,plain,
( top != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4224,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4222,refute_0_4223]) ).
cnf(refute_0_4225,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != top
| complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_4226,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_4224,refute_0_4225]) ).
cnf(refute_0_4227,plain,
complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4187,refute_0_4226]) ).
cnf(refute_0_4228,plain,
complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_4229,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))
| complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))) ),[0],$fot(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4230,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4228,refute_0_4229]) ).
cnf(refute_0_4231,plain,
meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = zero,
inference(subst,[],[refute_0_1253:[bind(X_203,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4232,plain,
meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4233,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4234,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4232,refute_0_4233]) ).
cnf(refute_0_4235,plain,
meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4228,refute_0_4234]) ).
cnf(refute_0_4236,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_4237,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_4238,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_4236,refute_0_4237]) ).
cnf(refute_0_4239,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4238]) ).
cnf(refute_0_4240,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4241,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_4239,refute_0_4240]) ).
cnf(refute_0_4242,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_4241]) ).
cnf(refute_0_4243,plain,
meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4244,plain,
( converse(complement(top)) != zero
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4245,plain,
( converse(complement(top)) != zero
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4243,refute_0_4244]) ).
cnf(refute_0_4246,plain,
meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_4242,refute_0_4245]) ).
cnf(refute_0_4247,plain,
( meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4248,plain,
( meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4246,refute_0_4247]) ).
cnf(refute_0_4249,plain,
meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(zero,complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4235,refute_0_4248]) ).
cnf(refute_0_4250,plain,
( meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != zero
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4251,plain,
( meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != zero
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_4249,refute_0_4250]) ).
cnf(refute_0_4252,plain,
meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_4231,refute_0_4251]) ).
cnf(refute_0_4253,plain,
meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) = meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(converse(complement(top)))),bind(X_28,$fot(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4254,plain,
( meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) != meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != zero
| meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))))),bind(Y,$fot(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_4255,plain,
( meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != zero
| meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))),meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4253,refute_0_4254]) ).
cnf(refute_0_4256,plain,
meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(complement(top)),complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_4252,refute_0_4255]) ).
cnf(refute_0_4257,plain,
( meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))) != zero
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_4258,plain,
( meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top))),zero) )],[refute_0_4256,refute_0_4257]) ).
cnf(refute_0_4259,plain,
( complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))) )],[refute_0_4230,refute_0_4258]) ).
cnf(refute_0_4260,plain,
meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),meet(complement(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(complement(top)))) )],[refute_0_4227,refute_0_4259]) ).
cnf(refute_0_4261,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != zero
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_4262,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_4260,refute_0_4261]) ).
cnf(refute_0_4263,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),meet(complement(one),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4186,refute_0_4262]) ).
cnf(refute_0_4264,plain,
meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(one)),bind(X_28,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4265,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_292:[bind(X1,$fot(one))]]) ).
cnf(refute_0_4266,plain,
join(zero,complement(complement(one))) = complement(complement(one)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(complement(one))))]]) ).
cnf(refute_0_4267,plain,
( complement(complement(one)) != one
| join(zero,complement(complement(one))) != complement(complement(one))
| join(zero,complement(complement(one))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,complement(complement(one))))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4268,plain,
( complement(complement(one)) != one
| join(zero,complement(complement(one))) = one ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),complement(complement(one))) )],[refute_0_4266,refute_0_4267]) ).
cnf(refute_0_4269,plain,
join(zero,complement(complement(one))) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_4268]) ).
cnf(refute_0_4270,plain,
join(complement(complement(one)),zero) = join(zero,complement(complement(one))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(complement(one)))),bind(X_20,$fot(zero))]]) ).
cnf(refute_0_4271,plain,
( join(complement(complement(one)),zero) != join(zero,complement(complement(one)))
| join(zero,complement(complement(one))) != one
| join(complement(complement(one)),zero) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(one)),zero))),bind(Y,$fot(join(zero,complement(complement(one))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4272,plain,
( join(zero,complement(complement(one))) != one
| join(complement(complement(one)),zero) = one ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),join(zero,complement(complement(one)))) )],[refute_0_4270,refute_0_4271]) ).
cnf(refute_0_4273,plain,
join(complement(complement(one)),zero) = one,
inference(resolve,[$cnf( $equal(join(zero,complement(complement(one))),one) )],[refute_0_4269,refute_0_4272]) ).
cnf(refute_0_4274,plain,
meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)))]]) ).
cnf(refute_0_4275,plain,
( join(complement(complement(one)),zero) != one
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero))
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4276,plain,
( join(complement(complement(one)),zero) != one
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero))) )],[refute_0_4274,refute_0_4275]) ).
cnf(refute_0_4277,plain,
meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),one) )],[refute_0_4273,refute_0_4276]) ).
cnf(refute_0_4278,plain,
( meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one))),bind(Z,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4279,plain,
( meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one)) )],[refute_0_4277,refute_0_4278]) ).
cnf(refute_0_4280,plain,
meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),one),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4264,refute_0_4279]) ).
cnf(refute_0_4281,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero))
| meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)))]]) ).
cnf(refute_0_4282,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4280,refute_0_4281]) ).
cnf(refute_0_4283,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),join(complement(complement(one)),zero))) )],[refute_0_4263,refute_0_4282]) ).
cnf(refute_0_4284,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4285,plain,
meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_4283,refute_0_4284]) ).
cnf(refute_0_4286,plain,
( meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| one != join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4287,plain,
( one != join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_4285,refute_0_4286]) ).
cnf(refute_0_4288,plain,
one = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4178,refute_0_4287]) ).
cnf(refute_0_4289,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4290,plain,
( join(join(skolemFOFtoCNF_X0,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 != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,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( $equal(one,join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4291,plain,
( one != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,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( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4289,refute_0_4290]) ).
cnf(refute_0_4292,plain,
one = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(one,join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4288,refute_0_4291]) ).
cnf(refute_0_4293,plain,
( one != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4294,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4292,refute_0_4293]) ).
cnf(refute_0_4295,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != one
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(one) ),
introduced(tautology,[equality,[$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_4296,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( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4294,refute_0_4295]) ).
cnf(refute_0_4297,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4177,refute_0_4296]) ).
cnf(refute_0_4298,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4299,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_28:[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,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4300,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4177,refute_0_4299]) ).
cnf(refute_0_4301,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4298,refute_0_4300]) ).
cnf(refute_0_4302,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(one)
| converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(one) ),
introduced(tautology,[equality,[$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_4303,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( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4301,refute_0_4302]) ).
cnf(refute_0_4304,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
introduced(tautology,[equality,[$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_4305,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( $equal(converse(one),one) )],[refute_0_81,refute_0_4304]) ).
cnf(refute_0_4306,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(one)
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(one)) )],[refute_0_4303,refute_0_4305]) ).
cnf(refute_0_4307,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(one)) )],[refute_0_4297,refute_0_4306]) ).
cnf(refute_0_4308,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(converse(X_285),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != one
| join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(converse(X_285),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(converse(X_285),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4309,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(converse(X_285),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(converse(X_285),one) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4307,refute_0_4308]) ).
cnf(refute_0_4310,plain,
join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(converse(X_285),one),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(converse(X_285),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4176,refute_0_4309]) ).
cnf(refute_0_4311,plain,
join(one,converse(X_285)) = converse(join(one,X_285)),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(X_285))]]) ).
cnf(refute_0_4312,plain,
join(converse(X_285),one) = join(one,converse(X_285)),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(converse(X_285))),bind(X_20,$fot(one))]]) ).
cnf(refute_0_4313,plain,
( join(converse(X_285),one) != join(one,converse(X_285))
| join(one,converse(X_285)) != converse(join(one,X_285))
| join(converse(X_285),one) = converse(join(one,X_285)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_285),one))),bind(Y,$fot(join(one,converse(X_285)))),bind(Z,$fot(converse(join(one,X_285))))]]) ).
cnf(refute_0_4314,plain,
( join(one,converse(X_285)) != converse(join(one,X_285))
| join(converse(X_285),one) = converse(join(one,X_285)) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),one),join(one,converse(X_285))) )],[refute_0_4312,refute_0_4313]) ).
cnf(refute_0_4315,plain,
join(converse(X_285),one) = converse(join(one,X_285)),
inference(resolve,[$cnf( $equal(join(one,converse(X_285)),converse(join(one,X_285))) )],[refute_0_4311,refute_0_4314]) ).
cnf(refute_0_4316,plain,
( join(converse(X_285),one) != converse(join(one,X_285))
| join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(converse(X_285),one)
| join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X_285)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(converse(X_285),one)) ),[1],$fot(converse(join(one,X_285)))]]) ).
cnf(refute_0_4317,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(converse(X_285),one)
| join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X_285)) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),one),converse(join(one,X_285))) )],[refute_0_4315,refute_0_4316]) ).
cnf(refute_0_4318,plain,
join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X_285)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_285,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(converse(X_285),one)) )],[refute_0_4310,refute_0_4317]) ).
cnf(refute_0_4319,plain,
join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X_287)),
inference(subst,[],[refute_0_4318:[bind(X_285,$fot(X_287))]]) ).
cnf(refute_0_4320,plain,
( converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != composition(converse(X_12),join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,X_287))
| converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = composition(converse(X_12),converse(join(one,X_287))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),composition(converse(X_12),join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(converse(join(one,X_287)))]]) ).
cnf(refute_0_4321,plain,
( converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != composition(converse(X_12),join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = composition(converse(X_12),converse(join(one,X_287))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(one,X_287))) )],[refute_0_4319,refute_0_4320]) ).
cnf(refute_0_4322,plain,
converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = composition(converse(X_12),converse(join(one,X_287))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),composition(converse(X_12),join(skolemFOFtoCNF_X0,converse(join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_4171,refute_0_4321]) ).
cnf(refute_0_4323,plain,
join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4324,plain,
( join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != one
| join(X0,one) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_4325,plain,
( join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(X0,one) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4294,refute_0_4324]) ).
cnf(refute_0_4326,plain,
join(X0,one) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4323,refute_0_4325]) ).
cnf(refute_0_4327,plain,
join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_168:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4328,plain,
join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4329,plain,
( join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4330,plain,
( join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4328,refute_0_4329]) ).
cnf(refute_0_4331,plain,
join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4327,refute_0_4330]) ).
cnf(refute_0_4332,plain,
join(X_179,join(X_178,converse(converse(X0)))) = join(X_178,join(X_179,converse(converse(X0)))),
inference(subst,[],[refute_0_372:[bind(X_19,$fot(X_178)),bind(X_20,$fot(X_179)),bind(X_5,$fot(converse(X0)))]]) ).
cnf(refute_0_4333,plain,
( converse(converse(X0)) != X0
| join(X_179,join(X_178,converse(converse(X0)))) != join(X_178,join(X_179,converse(converse(X0))))
| join(X_179,join(X_178,X0)) = join(X_178,join(X_179,converse(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,join(X_178,converse(converse(X0)))),join(X_178,join(X_179,converse(converse(X0))))) ),[0,1,1],$fot(X0)]]) ).
cnf(refute_0_4334,plain,
( join(X_179,join(X_178,converse(converse(X0)))) != join(X_178,join(X_179,converse(converse(X0))))
| join(X_179,join(X_178,X0)) = join(X_178,join(X_179,converse(converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_4333]) ).
cnf(refute_0_4335,plain,
join(X_179,join(X_178,X0)) = join(X_178,join(X_179,converse(converse(X0)))),
inference(resolve,[$cnf( $equal(join(X_179,join(X_178,converse(converse(X0)))),join(X_178,join(X_179,converse(converse(X0))))) )],[refute_0_4332,refute_0_4334]) ).
cnf(refute_0_4336,plain,
join(X_179,converse(converse(X0))) = join(X_179,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X_179,converse(converse(X0))))]]) ).
cnf(refute_0_4337,plain,
( converse(converse(X0)) != X0
| join(X_179,converse(converse(X0))) != join(X_179,converse(converse(X0)))
| join(X_179,converse(converse(X0))) = join(X_179,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,converse(converse(X0))),join(X_179,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_4338,plain,
( converse(converse(X0)) != X0
| join(X_179,converse(converse(X0))) = join(X_179,X0) ),
inference(resolve,[$cnf( $equal(join(X_179,converse(converse(X0))),join(X_179,converse(converse(X0)))) )],[refute_0_4336,refute_0_4337]) ).
cnf(refute_0_4339,plain,
join(X_179,converse(converse(X0))) = join(X_179,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_4338]) ).
cnf(refute_0_4340,plain,
join(X_178,join(X_179,converse(converse(X0)))) = join(X_178,join(X_179,converse(converse(X0)))),
introduced(tautology,[refl,[$fot(join(X_178,join(X_179,converse(converse(X0)))))]]) ).
cnf(refute_0_4341,plain,
( join(X_178,join(X_179,converse(converse(X0)))) != join(X_178,join(X_179,converse(converse(X0))))
| join(X_179,converse(converse(X0))) != join(X_179,X0)
| join(X_178,join(X_179,converse(converse(X0)))) = join(X_178,join(X_179,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_178,join(X_179,converse(converse(X0)))),join(X_178,join(X_179,converse(converse(X0))))) ),[1,1],$fot(join(X_179,X0))]]) ).
cnf(refute_0_4342,plain,
( join(X_179,converse(converse(X0))) != join(X_179,X0)
| join(X_178,join(X_179,converse(converse(X0)))) = join(X_178,join(X_179,X0)) ),
inference(resolve,[$cnf( $equal(join(X_178,join(X_179,converse(converse(X0)))),join(X_178,join(X_179,converse(converse(X0))))) )],[refute_0_4340,refute_0_4341]) ).
cnf(refute_0_4343,plain,
join(X_178,join(X_179,converse(converse(X0)))) = join(X_178,join(X_179,X0)),
inference(resolve,[$cnf( $equal(join(X_179,converse(converse(X0))),join(X_179,X0)) )],[refute_0_4339,refute_0_4342]) ).
cnf(refute_0_4344,plain,
( join(X_178,join(X_179,converse(converse(X0)))) != join(X_178,join(X_179,X0))
| join(X_179,join(X_178,X0)) != join(X_178,join(X_179,converse(converse(X0))))
| join(X_179,join(X_178,X0)) = join(X_178,join(X_179,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,join(X_178,X0)),join(X_178,join(X_179,converse(converse(X0))))) ),[1],$fot(join(X_178,join(X_179,X0)))]]) ).
cnf(refute_0_4345,plain,
( join(X_179,join(X_178,X0)) != join(X_178,join(X_179,converse(converse(X0))))
| join(X_179,join(X_178,X0)) = join(X_178,join(X_179,X0)) ),
inference(resolve,[$cnf( $equal(join(X_178,join(X_179,converse(converse(X0)))),join(X_178,join(X_179,X0))) )],[refute_0_4343,refute_0_4344]) ).
cnf(refute_0_4346,plain,
join(X_179,join(X_178,X0)) = join(X_178,join(X_179,X0)),
inference(resolve,[$cnf( $equal(join(X_179,join(X_178,X0)),join(X_178,join(X_179,converse(converse(X0))))) )],[refute_0_4335,refute_0_4345]) ).
cnf(refute_0_4347,plain,
( join(X_179,join(X_178,X0)) != join(X_178,join(X_179,X0))
| join(X_178,join(X_179,X0)) = join(X_179,join(X_178,X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_179,join(X_178,X0)))),bind(Y,$fot(join(X_178,join(X_179,X0))))]]) ).
cnf(refute_0_4348,plain,
join(X_178,join(X_179,X0)) = join(X_179,join(X_178,X0)),
inference(resolve,[$cnf( $equal(join(X_179,join(X_178,X0)),join(X_178,join(X_179,X0))) )],[refute_0_4346,refute_0_4347]) ).
cnf(refute_0_4349,plain,
join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4348:[bind(X0,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(X_178,$fot(join(X0,skolemFOFtoCNF_X0))),bind(X_179,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4350,plain,
( join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4351,plain,
( join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4349,refute_0_4350]) ).
cnf(refute_0_4352,plain,
join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(join(X0,skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4331,refute_0_4351]) ).
cnf(refute_0_4353,plain,
( join(X0,one) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(X0,one) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,one),join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4354,plain,
( join(X0,one) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(X0,one) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4352,refute_0_4353]) ).
cnf(refute_0_4355,plain,
join(X0,one) = join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(X0,one),join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4326,refute_0_4354]) ).
cnf(refute_0_4356,plain,
join(X0,join(X1,join(X_257,X_258))) = join(join(X0,X1),join(X_257,X_258)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(join(X_257,X_258)))]]) ).
cnf(refute_0_4357,plain,
join(join(X0,X1),join(X_257,X_258)) = join(X_257,join(join(X0,X1),X_258)),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(join(X0,X1))),bind(X_56,$fot(X_257)),bind(X_57,$fot(X_258))]]) ).
cnf(refute_0_4358,plain,
( join(X0,join(X1,join(X_257,X_258))) != join(join(X0,X1),join(X_257,X_258))
| join(join(X0,X1),join(X_257,X_258)) != join(X_257,join(join(X0,X1),X_258))
| join(X0,join(X1,join(X_257,X_258))) = join(X_257,join(join(X0,X1),X_258)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_257,X_258))),join(X_257,join(join(X0,X1),X_258))) ),[0],$fot(join(join(X0,X1),join(X_257,X_258)))]]) ).
cnf(refute_0_4359,plain,
( join(X0,join(X1,join(X_257,X_258))) != join(join(X0,X1),join(X_257,X_258))
| join(X0,join(X1,join(X_257,X_258))) = join(X_257,join(join(X0,X1),X_258)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_257,X_258)),join(X_257,join(join(X0,X1),X_258))) )],[refute_0_4357,refute_0_4358]) ).
cnf(refute_0_4360,plain,
join(X0,join(X1,join(X_257,X_258))) = join(X_257,join(join(X0,X1),X_258)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_257,X_258))),join(join(X0,X1),join(X_257,X_258))) )],[refute_0_4356,refute_0_4359]) ).
cnf(refute_0_4361,plain,
join(join(X0,X1),X_258) = join(X0,join(X1,X_258)),
inference(subst,[],[refute_0_168:[bind(X2,$fot(X_258))]]) ).
cnf(refute_0_4362,plain,
join(X_257,join(join(X0,X1),X_258)) = join(X_257,join(join(X0,X1),X_258)),
introduced(tautology,[refl,[$fot(join(X_257,join(join(X0,X1),X_258)))]]) ).
cnf(refute_0_4363,plain,
( join(X_257,join(join(X0,X1),X_258)) != join(X_257,join(join(X0,X1),X_258))
| join(join(X0,X1),X_258) != join(X0,join(X1,X_258))
| join(X_257,join(join(X0,X1),X_258)) = join(X_257,join(X0,join(X1,X_258))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_257,join(join(X0,X1),X_258)),join(X_257,join(join(X0,X1),X_258))) ),[1,1],$fot(join(X0,join(X1,X_258)))]]) ).
cnf(refute_0_4364,plain,
( join(join(X0,X1),X_258) != join(X0,join(X1,X_258))
| join(X_257,join(join(X0,X1),X_258)) = join(X_257,join(X0,join(X1,X_258))) ),
inference(resolve,[$cnf( $equal(join(X_257,join(join(X0,X1),X_258)),join(X_257,join(join(X0,X1),X_258))) )],[refute_0_4362,refute_0_4363]) ).
cnf(refute_0_4365,plain,
join(X_257,join(join(X0,X1),X_258)) = join(X_257,join(X0,join(X1,X_258))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_258),join(X0,join(X1,X_258))) )],[refute_0_4361,refute_0_4364]) ).
cnf(refute_0_4366,plain,
( join(X0,join(X1,join(X_257,X_258))) != join(X_257,join(join(X0,X1),X_258))
| join(X_257,join(join(X0,X1),X_258)) != join(X_257,join(X0,join(X1,X_258)))
| join(X0,join(X1,join(X_257,X_258))) = join(X_257,join(X0,join(X1,X_258))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_257,X_258))),join(X_257,join(X0,join(X1,X_258)))) ),[0],$fot(join(X_257,join(join(X0,X1),X_258)))]]) ).
cnf(refute_0_4367,plain,
( join(X0,join(X1,join(X_257,X_258))) != join(X_257,join(join(X0,X1),X_258))
| join(X0,join(X1,join(X_257,X_258))) = join(X_257,join(X0,join(X1,X_258))) ),
inference(resolve,[$cnf( $equal(join(X_257,join(join(X0,X1),X_258)),join(X_257,join(X0,join(X1,X_258)))) )],[refute_0_4365,refute_0_4366]) ).
cnf(refute_0_4368,plain,
join(X0,join(X1,join(X_257,X_258))) = join(X_257,join(X0,join(X1,X_258))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_257,X_258))),join(X_257,join(join(X0,X1),X_258))) )],[refute_0_4360,refute_0_4367]) ).
cnf(refute_0_4369,plain,
join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_4368:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(X0)),bind(X_257,$fot(skolemFOFtoCNF_X0)),bind(X_258,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4370,plain,
( join(X0,one) != join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(X0,one) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,one),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4371,plain,
( join(X0,one) != join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(X0,one) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4369,refute_0_4370]) ).
cnf(refute_0_4372,plain,
join(X0,one) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(X0,one),join(converse(skolemFOFtoCNF_X0),join(X0,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4355,refute_0_4371]) ).
cnf(refute_0_4373,plain,
( join(X0,one) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X0,one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,one))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4374,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X0,one),
inference(resolve,[$cnf( $equal(join(X0,one),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4372,refute_0_4373]) ).
cnf(refute_0_4375,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_287,one),
inference(subst,[],[refute_0_4374:[bind(X0,$fot(X_287))]]) ).
cnf(refute_0_4376,plain,
join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_4368:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(X_287)),bind(X_257,$fot(skolemFOFtoCNF_X0)),bind(X_258,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4377,plain,
( join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_287,one)
| join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_287,one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(X_287,one)))]]) ).
cnf(refute_0_4378,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_287,one)
| join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_287,one) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4376,refute_0_4377]) ).
cnf(refute_0_4379,plain,
join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_287,one),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(X_287,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(X_287,one)) )],[refute_0_4375,refute_0_4378]) ).
cnf(refute_0_4380,plain,
composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) = composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12),
introduced(tautology,[refl,[$fot(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12))]]) ).
cnf(refute_0_4381,plain,
( composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) != composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)
| join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_287,one)
| composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) = composition(join(X_287,one),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12),composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) ),[1,0],$fot(join(X_287,one))]]) ).
cnf(refute_0_4382,plain,
( join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_287,one)
| composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) = composition(join(X_287,one),X_12) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12),composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) )],[refute_0_4380,refute_0_4381]) ).
cnf(refute_0_4383,plain,
composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) = composition(join(X_287,one),X_12),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(X_287,one)) )],[refute_0_4379,refute_0_4382]) ).
cnf(refute_0_4384,plain,
converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)))]]) ).
cnf(refute_0_4385,plain,
( composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) != composition(join(X_287,one),X_12)
| converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12))
| converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = converse(composition(join(X_287,one),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12))) ),[1,0],$fot(composition(join(X_287,one),X_12))]]) ).
cnf(refute_0_4386,plain,
( composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12) != composition(join(X_287,one),X_12)
| converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = converse(composition(join(X_287,one),X_12)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12))) )],[refute_0_4384,refute_0_4385]) ).
cnf(refute_0_4387,plain,
converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) = converse(composition(join(X_287,one),X_12)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12),composition(join(X_287,one),X_12)) )],[refute_0_4383,refute_0_4386]) ).
cnf(refute_0_4388,plain,
( converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != composition(converse(X_12),converse(join(one,X_287)))
| converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != converse(composition(join(X_287,one),X_12))
| converse(composition(join(X_287,one),X_12)) = composition(converse(X_12),converse(join(one,X_287))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),composition(converse(X_12),converse(join(one,X_287)))) ),[0],$fot(converse(composition(join(X_287,one),X_12)))]]) ).
cnf(refute_0_4389,plain,
( converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != composition(converse(X_12),converse(join(one,X_287)))
| converse(composition(join(X_287,one),X_12)) = composition(converse(X_12),converse(join(one,X_287))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),converse(composition(join(X_287,one),X_12))) )],[refute_0_4387,refute_0_4388]) ).
cnf(refute_0_4390,plain,
composition(converse(X_12),converse(join(one,X_287))) = converse(composition(join(one,X_287),X_12)),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(join(one,X_287))),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_4391,plain,
( composition(converse(X_12),converse(join(one,X_287))) != converse(composition(join(one,X_287),X_12))
| converse(composition(join(X_287,one),X_12)) != composition(converse(X_12),converse(join(one,X_287)))
| converse(composition(join(X_287,one),X_12)) = converse(composition(join(one,X_287),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_287,one),X_12)),composition(converse(X_12),converse(join(one,X_287)))) ),[1],$fot(converse(composition(join(one,X_287),X_12)))]]) ).
cnf(refute_0_4392,plain,
( converse(composition(join(X_287,one),X_12)) != composition(converse(X_12),converse(join(one,X_287)))
| converse(composition(join(X_287,one),X_12)) = converse(composition(join(one,X_287),X_12)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),converse(join(one,X_287))),converse(composition(join(one,X_287),X_12))) )],[refute_0_4390,refute_0_4391]) ).
cnf(refute_0_4393,plain,
( converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)) != composition(converse(X_12),converse(join(one,X_287)))
| converse(composition(join(X_287,one),X_12)) = converse(composition(join(one,X_287),X_12)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_287,one),X_12)),composition(converse(X_12),converse(join(one,X_287)))) )],[refute_0_4389,refute_0_4392]) ).
cnf(refute_0_4394,plain,
converse(composition(join(X_287,one),X_12)) = converse(composition(join(one,X_287),X_12)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(skolemFOFtoCNF_X0),join(X_287,join(skolemFOFtoCNF_X0,meet(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X_12)),composition(converse(X_12),converse(join(one,X_287)))) )],[refute_0_4322,refute_0_4393]) ).
cnf(refute_0_4395,plain,
converse(composition(join(complement(one),one),converse(X_556))) = converse(composition(join(one,complement(one)),converse(X_556))),
inference(subst,[],[refute_0_4394:[bind(X_12,$fot(converse(X_556))),bind(X_287,$fot(complement(one)))]]) ).
cnf(refute_0_4396,plain,
( converse(composition(join(complement(one),one),converse(X_556))) != converse(composition(join(one,complement(one)),converse(X_556)))
| converse(composition(join(one,complement(one)),converse(X_556))) != composition(X_556,converse(join(one,complement(one))))
| converse(composition(join(complement(one),one),converse(X_556))) = composition(X_556,converse(join(one,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(join(complement(one),one),converse(X_556))))),bind(Y,$fot(converse(composition(join(one,complement(one)),converse(X_556))))),bind(Z,$fot(composition(X_556,converse(join(one,complement(one))))))]]) ).
cnf(refute_0_4397,plain,
( converse(composition(join(one,complement(one)),converse(X_556))) != composition(X_556,converse(join(one,complement(one))))
| converse(composition(join(complement(one),one),converse(X_556))) = composition(X_556,converse(join(one,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),one),converse(X_556))),converse(composition(join(one,complement(one)),converse(X_556)))) )],[refute_0_4395,refute_0_4396]) ).
cnf(refute_0_4398,plain,
converse(composition(join(complement(one),one),converse(X_556))) = composition(X_556,converse(join(one,complement(one)))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(one)),converse(X_556))),composition(X_556,converse(join(one,complement(one))))) )],[refute_0_4170,refute_0_4397]) ).
cnf(refute_0_4399,plain,
( composition(X_556,converse(join(one,complement(one)))) != composition(X_556,top)
| converse(composition(join(complement(one),one),converse(X_556))) != composition(X_556,converse(join(one,complement(one))))
| converse(composition(join(complement(one),one),converse(X_556))) = composition(X_556,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(join(complement(one),one),converse(X_556))))),bind(Y,$fot(composition(X_556,converse(join(one,complement(one)))))),bind(Z,$fot(composition(X_556,top)))]]) ).
cnf(refute_0_4400,plain,
( composition(X_556,converse(join(one,complement(one)))) != composition(X_556,top)
| converse(composition(join(complement(one),one),converse(X_556))) = composition(X_556,top) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),one),converse(X_556))),composition(X_556,converse(join(one,complement(one))))) )],[refute_0_4398,refute_0_4399]) ).
cnf(refute_0_4401,plain,
converse(composition(join(complement(one),one),converse(X_556))) = composition(X_556,top),
inference(resolve,[$cnf( $equal(composition(X_556,converse(join(one,complement(one)))),composition(X_556,top)) )],[refute_0_4169,refute_0_4400]) ).
cnf(refute_0_4402,plain,
complement(converse(composition(join(complement(one),one),converse(X_556)))) = complement(converse(composition(join(complement(one),one),converse(X_556)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(join(complement(one),one),converse(X_556)))))]]) ).
cnf(refute_0_4403,plain,
( complement(converse(composition(join(complement(one),one),converse(X_556)))) != complement(converse(composition(join(complement(one),one),converse(X_556))))
| converse(composition(join(complement(one),one),converse(X_556))) != composition(X_556,top)
| complement(converse(composition(join(complement(one),one),converse(X_556)))) = complement(composition(X_556,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(join(complement(one),one),converse(X_556)))),complement(converse(composition(join(complement(one),one),converse(X_556))))) ),[1,0],$fot(composition(X_556,top))]]) ).
cnf(refute_0_4404,plain,
( converse(composition(join(complement(one),one),converse(X_556))) != composition(X_556,top)
| complement(converse(composition(join(complement(one),one),converse(X_556)))) = complement(composition(X_556,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(join(complement(one),one),converse(X_556)))),complement(converse(composition(join(complement(one),one),converse(X_556))))) )],[refute_0_4402,refute_0_4403]) ).
cnf(refute_0_4405,plain,
complement(converse(composition(join(complement(one),one),converse(X_556)))) = complement(composition(X_556,top)),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(one),one),converse(X_556))),composition(X_556,top)) )],[refute_0_4401,refute_0_4404]) ).
cnf(refute_0_4406,plain,
converse(complement(composition(join(complement(one),one),converse(X_556)))) = complement(converse(composition(join(complement(one),one),converse(X_556)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(join(complement(one),one),converse(X_556))))]]) ).
cnf(refute_0_4407,plain,
( complement(converse(composition(join(complement(one),one),converse(X_556)))) != complement(composition(X_556,top))
| converse(complement(composition(join(complement(one),one),converse(X_556)))) != complement(converse(composition(join(complement(one),one),converse(X_556))))
| converse(complement(composition(join(complement(one),one),converse(X_556)))) = complement(composition(X_556,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(composition(join(complement(one),one),converse(X_556)))))),bind(Y,$fot(complement(converse(composition(join(complement(one),one),converse(X_556)))))),bind(Z,$fot(complement(composition(X_556,top))))]]) ).
cnf(refute_0_4408,plain,
( complement(converse(composition(join(complement(one),one),converse(X_556)))) != complement(composition(X_556,top))
| converse(complement(composition(join(complement(one),one),converse(X_556)))) = complement(composition(X_556,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(join(complement(one),one),converse(X_556)))),complement(converse(composition(join(complement(one),one),converse(X_556))))) )],[refute_0_4406,refute_0_4407]) ).
cnf(refute_0_4409,plain,
converse(complement(composition(join(complement(one),one),converse(X_556)))) = complement(composition(X_556,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(join(complement(one),one),converse(X_556)))),complement(composition(X_556,top))) )],[refute_0_4405,refute_0_4408]) ).
cnf(refute_0_4410,plain,
join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))),
introduced(tautology,[refl,[$fot(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))))]]) ).
cnf(refute_0_4411,plain,
( converse(complement(composition(join(complement(one),one),converse(X_556)))) != complement(composition(X_556,top))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) != join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556)))))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(composition(X_556,complement(one)),complement(composition(X_556,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))),join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556)))))) ),[1,1],$fot(complement(composition(X_556,top)))]]) ).
cnf(refute_0_4412,plain,
( converse(complement(composition(join(complement(one),one),converse(X_556)))) != complement(composition(X_556,top))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(composition(X_556,complement(one)),complement(composition(X_556,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))),join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556)))))) )],[refute_0_4410,refute_0_4411]) ).
cnf(refute_0_4413,plain,
join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(composition(X_556,complement(one)),complement(composition(X_556,top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(join(complement(one),one),converse(X_556)))),complement(composition(X_556,top))) )],[refute_0_4409,refute_0_4412]) ).
cnf(refute_0_4414,plain,
( join(composition(X_556,complement(one)),complement(composition(X_556,top))) != join(complement(composition(X_556,top)),composition(X_556,complement(one)))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) != join(composition(X_556,complement(one)),complement(composition(X_556,top)))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))))),bind(Y,$fot(join(composition(X_556,complement(one)),complement(composition(X_556,top))))),bind(Z,$fot(join(complement(composition(X_556,top)),composition(X_556,complement(one)))))]]) ).
cnf(refute_0_4415,plain,
( join(composition(X_556,complement(one)),complement(composition(X_556,top))) != join(complement(composition(X_556,top)),composition(X_556,complement(one)))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))) ),
inference(resolve,[$cnf( $equal(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))),join(composition(X_556,complement(one)),complement(composition(X_556,top)))) )],[refute_0_4413,refute_0_4414]) ).
cnf(refute_0_4416,plain,
join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))),
inference(resolve,[$cnf( $equal(join(composition(X_556,complement(one)),complement(composition(X_556,top))),join(complement(composition(X_556,top)),composition(X_556,complement(one)))) )],[refute_0_4162,refute_0_4415]) ).
cnf(refute_0_4417,plain,
converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) = join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(composition(X_556,complement(one)))),bind(X_5,$fot(complement(composition(join(complement(one),one),converse(X_556)))))]]) ).
cnf(refute_0_4418,plain,
( converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) != join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556)))))
| join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) != join(complement(composition(X_556,top)),composition(X_556,complement(one)))
| converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))),bind(Y,$fot(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))))),bind(Z,$fot(join(complement(composition(X_556,top)),composition(X_556,complement(one)))))]]) ).
cnf(refute_0_4419,plain,
( join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))) != join(complement(composition(X_556,top)),composition(X_556,complement(one)))
| converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))),join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556)))))) )],[refute_0_4417,refute_0_4418]) ).
cnf(refute_0_4420,plain,
converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) = join(complement(composition(X_556,top)),composition(X_556,complement(one))),
inference(resolve,[$cnf( $equal(join(composition(X_556,complement(one)),converse(complement(composition(join(complement(one),one),converse(X_556))))),join(complement(composition(X_556,top)),composition(X_556,complement(one)))) )],[refute_0_4416,refute_0_4419]) ).
cnf(refute_0_4421,plain,
join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) = join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))),
introduced(tautology,[refl,[$fot(join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))))]]) ).
cnf(refute_0_4422,plain,
( converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) != join(complement(composition(X_556,top)),composition(X_556,complement(one)))
| join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) != join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))
| join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) = join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))),join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))) ),[1,1],$fot(join(complement(composition(X_556,top)),composition(X_556,complement(one))))]]) ).
cnf(refute_0_4423,plain,
( converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))) != join(complement(composition(X_556,top)),composition(X_556,complement(one)))
| join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) = join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))),join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) = join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))),join(complement(composition(X_556,top)),composition(X_556,complement(one)))) )],[refute_0_4420,refute_0_4423]) ).
cnf(refute_0_4425,plain,
( join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))) != join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one))))
| top != join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))
| top = join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))) ),[1],$fot(join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))))]]) ).
cnf(refute_0_4426,plain,
( top != join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))
| top = join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556)))))),join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one))))) )],[refute_0_4424,refute_0_4425]) ).
cnf(refute_0_4427,plain,
top = join(X_556,join(complement(composition(X_556,top)),composition(X_556,complement(one)))),
inference(resolve,[$cnf( $equal(top,join(X_556,converse(join(converse(composition(X_556,complement(one))),complement(composition(join(complement(one),one),converse(X_556))))))) )],[refute_0_1587,refute_0_4426]) ).
cnf(refute_0_4428,plain,
top = join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_4427:[bind(X_556,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4429,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = top,
inference(subst,[],[refute_0_1377:[bind(X1,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_223,$fot(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4430,plain,
converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_4431,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))) ),[1,0,1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_4432,plain,
( converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_2090,refute_0_4431]) ).
cnf(refute_0_4433,plain,
converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)))) )],[refute_0_4430,refute_0_4432]) ).
cnf(refute_0_4434,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)))]]) ).
cnf(refute_0_4435,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))
| join(one,top) != top
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4436,plain,
( join(one,top) != top
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) )],[refute_0_4434,refute_0_4435]) ).
cnf(refute_0_4437,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_4436]) ).
cnf(refute_0_4438,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)))),bind(Y,$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top))),bind(Z,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4439,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top)) )],[refute_0_4437,refute_0_4438]) ).
cnf(refute_0_4440,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_2090,refute_0_4439]) ).
cnf(refute_0_4441,plain,
converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),
introduced(tautology,[refl,[$fot(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))))]]) ).
cnf(refute_0_4442,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)))
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)))) ),[1,0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_4443,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)))) )],[refute_0_4441,refute_0_4442]) ).
cnf(refute_0_4444,plain,
converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_4440,refute_0_4443]) ).
cnf(refute_0_4445,plain,
( converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[0],$fot(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4446,plain,
( converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_4444,refute_0_4445]) ).
cnf(refute_0_4447,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))]]) ).
cnf(refute_0_4448,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))
| join(one,top) != top
| composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4449,plain,
( join(one,top) != top
| composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) )],[refute_0_4447,refute_0_4448]) ).
cnf(refute_0_4450,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_4449]) ).
cnf(refute_0_4451,plain,
join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) = join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))]]) ).
cnf(refute_0_4452,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) != join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) = join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))),join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),[1,1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_4453,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) = join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))),join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) )],[refute_0_4451,refute_0_4452]) ).
cnf(refute_0_4454,plain,
join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) = join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_4450,refute_0_4453]) ).
cnf(refute_0_4455,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))))]]) ).
cnf(refute_0_4456,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) != join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))) ),[1,0],$fot(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4457,plain,
( join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))) != join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))) )],[refute_0_4455,refute_0_4456]) ).
cnf(refute_0_4458,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))),join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_4454,refute_0_4457]) ).
cnf(refute_0_4459,plain,
converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X1,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))]]) ).
cnf(refute_0_4460,plain,
converse(join(join(X_425,composition(X_425,X_426)),X1)) = join(converse(join(X_425,composition(X_425,X_426))),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(join(X_425,composition(X_425,X_426))))]]) ).
cnf(refute_0_4461,plain,
( converse(join(X_425,composition(X_425,X_426))) != converse(composition(X_425,join(one,X_426)))
| converse(join(join(X_425,composition(X_425,X_426)),X1)) != join(converse(join(X_425,composition(X_425,X_426))),converse(X1))
| converse(join(join(X_425,composition(X_425,X_426)),X1)) = join(converse(composition(X_425,join(one,X_426))),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),join(converse(join(X_425,composition(X_425,X_426))),converse(X1))) ),[1,0],$fot(converse(composition(X_425,join(one,X_426))))]]) ).
cnf(refute_0_4462,plain,
( converse(join(join(X_425,composition(X_425,X_426)),X1)) != join(converse(join(X_425,composition(X_425,X_426))),converse(X1))
| converse(join(join(X_425,composition(X_425,X_426)),X1)) = join(converse(composition(X_425,join(one,X_426))),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_425,composition(X_425,X_426))),converse(composition(X_425,join(one,X_426)))) )],[refute_0_2428,refute_0_4461]) ).
cnf(refute_0_4463,plain,
converse(join(join(X_425,composition(X_425,X_426)),X1)) = join(converse(composition(X_425,join(one,X_426))),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),join(converse(join(X_425,composition(X_425,X_426))),converse(X1))) )],[refute_0_4460,refute_0_4462]) ).
cnf(refute_0_4464,plain,
join(join(X_425,composition(X_425,X_426)),X1) = join(X_425,join(composition(X_425,X_426),X1)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_425)),bind(X1,$fot(composition(X_425,X_426))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_4465,plain,
converse(join(join(X_425,composition(X_425,X_426)),X1)) = converse(join(join(X_425,composition(X_425,X_426)),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_425,composition(X_425,X_426)),X1)))]]) ).
cnf(refute_0_4466,plain,
( converse(join(join(X_425,composition(X_425,X_426)),X1)) != converse(join(join(X_425,composition(X_425,X_426)),X1))
| join(join(X_425,composition(X_425,X_426)),X1) != join(X_425,join(composition(X_425,X_426),X1))
| converse(join(join(X_425,composition(X_425,X_426)),X1)) = converse(join(X_425,join(composition(X_425,X_426),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),converse(join(join(X_425,composition(X_425,X_426)),X1))) ),[1,0],$fot(join(X_425,join(composition(X_425,X_426),X1)))]]) ).
cnf(refute_0_4467,plain,
( join(join(X_425,composition(X_425,X_426)),X1) != join(X_425,join(composition(X_425,X_426),X1))
| converse(join(join(X_425,composition(X_425,X_426)),X1)) = converse(join(X_425,join(composition(X_425,X_426),X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),converse(join(join(X_425,composition(X_425,X_426)),X1))) )],[refute_0_4465,refute_0_4466]) ).
cnf(refute_0_4468,plain,
converse(join(join(X_425,composition(X_425,X_426)),X1)) = converse(join(X_425,join(composition(X_425,X_426),X1))),
inference(resolve,[$cnf( $equal(join(join(X_425,composition(X_425,X_426)),X1),join(X_425,join(composition(X_425,X_426),X1))) )],[refute_0_4464,refute_0_4467]) ).
cnf(refute_0_4469,plain,
( converse(join(join(X_425,composition(X_425,X_426)),X1)) != converse(join(X_425,join(composition(X_425,X_426),X1)))
| converse(join(join(X_425,composition(X_425,X_426)),X1)) != join(converse(composition(X_425,join(one,X_426))),converse(X1))
| converse(join(X_425,join(composition(X_425,X_426),X1))) = join(converse(composition(X_425,join(one,X_426))),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),join(converse(composition(X_425,join(one,X_426))),converse(X1))) ),[0],$fot(converse(join(X_425,join(composition(X_425,X_426),X1))))]]) ).
cnf(refute_0_4470,plain,
( converse(join(join(X_425,composition(X_425,X_426)),X1)) != join(converse(composition(X_425,join(one,X_426))),converse(X1))
| converse(join(X_425,join(composition(X_425,X_426),X1))) = join(converse(composition(X_425,join(one,X_426))),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),converse(join(X_425,join(composition(X_425,X_426),X1)))) )],[refute_0_4468,refute_0_4469]) ).
cnf(refute_0_4471,plain,
join(converse(composition(X_425,join(one,X_426))),converse(X1)) = converse(join(composition(X_425,join(one,X_426)),X1)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(composition(X_425,join(one,X_426))))]]) ).
cnf(refute_0_4472,plain,
( converse(join(X_425,join(composition(X_425,X_426),X1))) != join(converse(composition(X_425,join(one,X_426))),converse(X1))
| join(converse(composition(X_425,join(one,X_426))),converse(X1)) != converse(join(composition(X_425,join(one,X_426)),X1))
| converse(join(X_425,join(composition(X_425,X_426),X1))) = converse(join(composition(X_425,join(one,X_426)),X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_425,join(composition(X_425,X_426),X1))),converse(join(composition(X_425,join(one,X_426)),X1))) ),[0],$fot(join(converse(composition(X_425,join(one,X_426))),converse(X1)))]]) ).
cnf(refute_0_4473,plain,
( converse(join(X_425,join(composition(X_425,X_426),X1))) != join(converse(composition(X_425,join(one,X_426))),converse(X1))
| converse(join(X_425,join(composition(X_425,X_426),X1))) = converse(join(composition(X_425,join(one,X_426)),X1)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X_425,join(one,X_426))),converse(X1)),converse(join(composition(X_425,join(one,X_426)),X1))) )],[refute_0_4471,refute_0_4472]) ).
cnf(refute_0_4474,plain,
( converse(join(join(X_425,composition(X_425,X_426)),X1)) != join(converse(composition(X_425,join(one,X_426))),converse(X1))
| converse(join(X_425,join(composition(X_425,X_426),X1))) = converse(join(composition(X_425,join(one,X_426)),X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_425,join(composition(X_425,X_426),X1))),join(converse(composition(X_425,join(one,X_426))),converse(X1))) )],[refute_0_4470,refute_0_4473]) ).
cnf(refute_0_4475,plain,
converse(join(X_425,join(composition(X_425,X_426),X1))) = converse(join(composition(X_425,join(one,X_426)),X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_425,composition(X_425,X_426)),X1)),join(converse(composition(X_425,join(one,X_426))),converse(X1))) )],[refute_0_4463,refute_0_4474]) ).
cnf(refute_0_4476,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4475:[bind(X1,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_425,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_426,$fot(top))]]) ).
cnf(refute_0_4477,plain,
( converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))))]]) ).
cnf(refute_0_4478,plain,
( converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_4476,refute_0_4477]) ).
cnf(refute_0_4479,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),
inference(resolve,[$cnf( $equal(converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)),complement(converse(composition(top,skolemFOFtoCNF_X0))))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))) )],[refute_0_4459,refute_0_4478]) ).
cnf(refute_0_4480,plain,
join(converse(X0),converse(join(X_285,X_284))) = join(converse(X_285),join(converse(X0),converse(X_284))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(X_284)),bind(X_6,$fot(X_285)),bind(X_7,$fot(converse(X0)))]]) ).
cnf(refute_0_4481,plain,
converse(join(X0,join(X_285,X_284))) = join(converse(X0),converse(join(X_285,X_284))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(join(X_285,X_284)))]]) ).
cnf(refute_0_4482,plain,
( converse(join(X0,join(X_285,X_284))) != join(converse(X0),converse(join(X_285,X_284)))
| join(converse(X0),converse(join(X_285,X_284))) = converse(join(X0,join(X_285,X_284))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,join(X_285,X_284))))),bind(Y,$fot(join(converse(X0),converse(join(X_285,X_284)))))]]) ).
cnf(refute_0_4483,plain,
join(converse(X0),converse(join(X_285,X_284))) = converse(join(X0,join(X_285,X_284))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_285,X_284))),join(converse(X0),converse(join(X_285,X_284)))) )],[refute_0_4481,refute_0_4482]) ).
cnf(refute_0_4484,plain,
( join(converse(X0),converse(join(X_285,X_284))) != converse(join(X0,join(X_285,X_284)))
| join(converse(X0),converse(join(X_285,X_284))) != join(converse(X_285),join(converse(X0),converse(X_284)))
| converse(join(X0,join(X_285,X_284))) = join(converse(X_285),join(converse(X0),converse(X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X0),converse(join(X_285,X_284))),join(converse(X_285),join(converse(X0),converse(X_284)))) ),[0],$fot(converse(join(X0,join(X_285,X_284))))]]) ).
cnf(refute_0_4485,plain,
( join(converse(X0),converse(join(X_285,X_284))) != join(converse(X_285),join(converse(X0),converse(X_284)))
| converse(join(X0,join(X_285,X_284))) = join(converse(X_285),join(converse(X0),converse(X_284))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_285,X_284))),converse(join(X0,join(X_285,X_284)))) )],[refute_0_4483,refute_0_4484]) ).
cnf(refute_0_4486,plain,
converse(join(X0,join(X_285,X_284))) = join(converse(X_285),join(converse(X0),converse(X_284))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_285,X_284))),join(converse(X_285),join(converse(X0),converse(X_284)))) )],[refute_0_4480,refute_0_4485]) ).
cnf(refute_0_4487,plain,
join(join(X_285,X0),X_284) = join(X_285,join(X0,X_284)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_285)),bind(X1,$fot(X0)),bind(X2,$fot(X_284))]]) ).
cnf(refute_0_4488,plain,
converse(join(join(X_285,X0),X_284)) = converse(join(join(X_285,X0),X_284)),
introduced(tautology,[refl,[$fot(converse(join(join(X_285,X0),X_284)))]]) ).
cnf(refute_0_4489,plain,
( converse(join(join(X_285,X0),X_284)) != converse(join(join(X_285,X0),X_284))
| join(join(X_285,X0),X_284) != join(X_285,join(X0,X_284))
| converse(join(join(X_285,X0),X_284)) = converse(join(X_285,join(X0,X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_285,X0),X_284)),converse(join(join(X_285,X0),X_284))) ),[1,0],$fot(join(X_285,join(X0,X_284)))]]) ).
cnf(refute_0_4490,plain,
( join(join(X_285,X0),X_284) != join(X_285,join(X0,X_284))
| converse(join(join(X_285,X0),X_284)) = converse(join(X_285,join(X0,X_284))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_285,X0),X_284)),converse(join(join(X_285,X0),X_284))) )],[refute_0_4488,refute_0_4489]) ).
cnf(refute_0_4491,plain,
converse(join(join(X_285,X0),X_284)) = converse(join(X_285,join(X0,X_284))),
inference(resolve,[$cnf( $equal(join(join(X_285,X0),X_284),join(X_285,join(X0,X_284))) )],[refute_0_4487,refute_0_4490]) ).
cnf(refute_0_4492,plain,
join(converse(join(X_285,X0)),converse(X_284)) = converse(join(join(X_285,X0),X_284)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(join(X_285,X0))),bind(X1,$fot(X_284))]]) ).
cnf(refute_0_4493,plain,
converse(join(X0,join(X_22,converse(X_21)))) = join(converse(X0),converse(join(X_22,converse(X_21)))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(join(X_22,converse(X_21))))]]) ).
cnf(refute_0_4494,plain,
( converse(join(X0,join(X_22,converse(X_21)))) != join(converse(X0),converse(join(X_22,converse(X_21))))
| converse(join(X_22,converse(X_21))) != join(converse(X_22),X_21)
| converse(join(X0,join(X_22,converse(X_21)))) = join(converse(X0),join(converse(X_22),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_22,converse(X_21)))),join(converse(X0),converse(join(X_22,converse(X_21))))) ),[1,1],$fot(join(converse(X_22),X_21))]]) ).
cnf(refute_0_4495,plain,
( converse(join(X0,join(X_22,converse(X_21)))) != join(converse(X0),converse(join(X_22,converse(X_21))))
| converse(join(X0,join(X_22,converse(X_21)))) = join(converse(X0),join(converse(X_22),X_21)) ),
inference(resolve,[$cnf( $equal(converse(join(X_22,converse(X_21))),join(converse(X_22),X_21)) )],[refute_0_1547,refute_0_4494]) ).
cnf(refute_0_4496,plain,
converse(join(X0,join(X_22,converse(X_21)))) = join(converse(X0),join(converse(X_22),X_21)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_22,converse(X_21)))),join(converse(X0),converse(join(X_22,converse(X_21))))) )],[refute_0_4493,refute_0_4495]) ).
cnf(refute_0_4497,plain,
converse(join(join(X_55,X_56),converse(X0))) = join(converse(join(X_55,X_56)),X0),
inference(subst,[],[refute_0_400:[bind(X_4,$fot(join(X_55,X_56)))]]) ).
cnf(refute_0_4498,plain,
join(X_55,join(X_56,converse(X0))) = join(join(X_55,X_56),converse(X0)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(X_56)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_4499,plain,
( join(X_55,join(X_56,converse(X0))) != join(join(X_55,X_56),converse(X0))
| join(join(X_55,X_56),converse(X0)) = join(X_55,join(X_56,converse(X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(X_56,converse(X0))))),bind(Y,$fot(join(join(X_55,X_56),converse(X0))))]]) ).
cnf(refute_0_4500,plain,
join(join(X_55,X_56),converse(X0)) = join(X_55,join(X_56,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,converse(X0))),join(join(X_55,X_56),converse(X0))) )],[refute_0_4498,refute_0_4499]) ).
cnf(refute_0_4501,plain,
( converse(join(join(X_55,X_56),converse(X0))) != join(converse(join(X_55,X_56)),X0)
| join(join(X_55,X_56),converse(X0)) != join(X_55,join(X_56,converse(X0)))
| converse(join(X_55,join(X_56,converse(X0)))) = join(converse(join(X_55,X_56)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_55,X_56),converse(X0))),join(converse(join(X_55,X_56)),X0)) ),[0,0],$fot(join(X_55,join(X_56,converse(X0))))]]) ).
cnf(refute_0_4502,plain,
( converse(join(join(X_55,X_56),converse(X0))) != join(converse(join(X_55,X_56)),X0)
| converse(join(X_55,join(X_56,converse(X0)))) = join(converse(join(X_55,X_56)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_55,X_56),converse(X0)),join(X_55,join(X_56,converse(X0)))) )],[refute_0_4500,refute_0_4501]) ).
cnf(refute_0_4503,plain,
converse(join(X_55,join(X_56,converse(X0)))) = join(converse(join(X_55,X_56)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_55,X_56),converse(X0))),join(converse(join(X_55,X_56)),X0)) )],[refute_0_4497,refute_0_4502]) ).
cnf(refute_0_4504,plain,
converse(join(X0,join(X_22,converse(X_21)))) = join(converse(join(X0,X_22)),X_21),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_21)),bind(X_55,$fot(X0)),bind(X_56,$fot(X_22))]]) ).
cnf(refute_0_4505,plain,
( converse(join(X0,join(X_22,converse(X_21)))) != join(converse(X0),join(converse(X_22),X_21))
| converse(join(X0,join(X_22,converse(X_21)))) != join(converse(join(X0,X_22)),X_21)
| join(converse(join(X0,X_22)),X_21) = join(converse(X0),join(converse(X_22),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_22,converse(X_21)))),join(converse(X0),join(converse(X_22),X_21))) ),[0],$fot(join(converse(join(X0,X_22)),X_21))]]) ).
cnf(refute_0_4506,plain,
( converse(join(X0,join(X_22,converse(X_21)))) != join(converse(X0),join(converse(X_22),X_21))
| join(converse(join(X0,X_22)),X_21) = join(converse(X0),join(converse(X_22),X_21)) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_22,converse(X_21)))),join(converse(join(X0,X_22)),X_21)) )],[refute_0_4504,refute_0_4505]) ).
cnf(refute_0_4507,plain,
join(converse(join(X0,X_22)),X_21) = join(converse(X0),join(converse(X_22),X_21)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_22,converse(X_21)))),join(converse(X0),join(converse(X_22),X_21))) )],[refute_0_4496,refute_0_4506]) ).
cnf(refute_0_4508,plain,
( join(converse(join(X0,X_22)),X_21) != join(converse(X0),join(converse(X_22),X_21))
| join(converse(X0),join(converse(X_22),X_21)) = join(converse(join(X0,X_22)),X_21) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(join(X0,X_22)),X_21))),bind(Y,$fot(join(converse(X0),join(converse(X_22),X_21))))]]) ).
cnf(refute_0_4509,plain,
join(converse(X0),join(converse(X_22),X_21)) = join(converse(join(X0,X_22)),X_21),
inference(resolve,[$cnf( $equal(join(converse(join(X0,X_22)),X_21),join(converse(X0),join(converse(X_22),X_21))) )],[refute_0_4507,refute_0_4508]) ).
cnf(refute_0_4510,plain,
join(converse(X_285),join(converse(X0),converse(X_284))) = join(converse(join(X_285,X0)),converse(X_284)),
inference(subst,[],[refute_0_4509:[bind(X0,$fot(X_285)),bind(X_21,$fot(converse(X_284))),bind(X_22,$fot(X0))]]) ).
cnf(refute_0_4511,plain,
( join(converse(X_285),join(converse(X0),converse(X_284))) != join(converse(join(X_285,X0)),converse(X_284))
| join(converse(join(X_285,X0)),converse(X_284)) != converse(join(join(X_285,X0),X_284))
| join(converse(X_285),join(converse(X0),converse(X_284))) = converse(join(join(X_285,X0),X_284)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_285),join(converse(X0),converse(X_284))))),bind(Y,$fot(join(converse(join(X_285,X0)),converse(X_284)))),bind(Z,$fot(converse(join(join(X_285,X0),X_284))))]]) ).
cnf(refute_0_4512,plain,
( join(converse(join(X_285,X0)),converse(X_284)) != converse(join(join(X_285,X0),X_284))
| join(converse(X_285),join(converse(X0),converse(X_284))) = converse(join(join(X_285,X0),X_284)) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(converse(X0),converse(X_284))),join(converse(join(X_285,X0)),converse(X_284))) )],[refute_0_4510,refute_0_4511]) ).
cnf(refute_0_4513,plain,
join(converse(X_285),join(converse(X0),converse(X_284))) = converse(join(join(X_285,X0),X_284)),
inference(resolve,[$cnf( $equal(join(converse(join(X_285,X0)),converse(X_284)),converse(join(join(X_285,X0),X_284))) )],[refute_0_4492,refute_0_4512]) ).
cnf(refute_0_4514,plain,
( converse(join(join(X_285,X0),X_284)) != converse(join(X_285,join(X0,X_284)))
| join(converse(X_285),join(converse(X0),converse(X_284))) != converse(join(join(X_285,X0),X_284))
| join(converse(X_285),join(converse(X0),converse(X_284))) = converse(join(X_285,join(X0,X_284))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_285),join(converse(X0),converse(X_284))))),bind(Y,$fot(converse(join(join(X_285,X0),X_284)))),bind(Z,$fot(converse(join(X_285,join(X0,X_284)))))]]) ).
cnf(refute_0_4515,plain,
( converse(join(join(X_285,X0),X_284)) != converse(join(X_285,join(X0,X_284)))
| join(converse(X_285),join(converse(X0),converse(X_284))) = converse(join(X_285,join(X0,X_284))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(converse(X0),converse(X_284))),converse(join(join(X_285,X0),X_284))) )],[refute_0_4513,refute_0_4514]) ).
cnf(refute_0_4516,plain,
join(converse(X_285),join(converse(X0),converse(X_284))) = converse(join(X_285,join(X0,X_284))),
inference(resolve,[$cnf( $equal(converse(join(join(X_285,X0),X_284)),converse(join(X_285,join(X0,X_284)))) )],[refute_0_4491,refute_0_4515]) ).
cnf(refute_0_4517,plain,
( converse(join(X0,join(X_285,X_284))) != join(converse(X_285),join(converse(X0),converse(X_284)))
| join(converse(X_285),join(converse(X0),converse(X_284))) != converse(join(X_285,join(X0,X_284)))
| converse(join(X0,join(X_285,X_284))) = converse(join(X_285,join(X0,X_284))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_285,X_284))),converse(join(X_285,join(X0,X_284)))) ),[0],$fot(join(converse(X_285),join(converse(X0),converse(X_284))))]]) ).
cnf(refute_0_4518,plain,
( converse(join(X0,join(X_285,X_284))) != join(converse(X_285),join(converse(X0),converse(X_284)))
| converse(join(X0,join(X_285,X_284))) = converse(join(X_285,join(X0,X_284))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(converse(X0),converse(X_284))),converse(join(X_285,join(X0,X_284)))) )],[refute_0_4516,refute_0_4517]) ).
cnf(refute_0_4519,plain,
converse(join(X0,join(X_285,X_284))) = converse(join(X_285,join(X0,X_284))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_285,X_284))),join(converse(X_285),join(converse(X0),converse(X_284)))) )],[refute_0_4486,refute_0_4518]) ).
cnf(refute_0_4520,plain,
( converse(join(X0,join(X_285,X_284))) != converse(join(X_285,join(X0,X_284)))
| converse(join(X_285,join(X0,X_284))) = converse(join(X0,join(X_285,X_284))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,join(X_285,X_284))))),bind(Y,$fot(converse(join(X_285,join(X0,X_284)))))]]) ).
cnf(refute_0_4521,plain,
converse(join(X_285,join(X0,X_284))) = converse(join(X0,join(X_285,X_284))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_285,X_284))),converse(join(X_285,join(X0,X_284)))) )],[refute_0_4519,refute_0_4520]) ).
cnf(refute_0_4522,plain,
converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4521:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_284,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(X_285,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4523,plain,
( converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))))]]) ).
cnf(refute_0_4524,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_4522,refute_0_4523]) ).
cnf(refute_0_4525,plain,
converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))) )],[refute_0_4479,refute_0_4524]) ).
cnf(refute_0_4526,plain,
converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),bind(X1,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4527,plain,
( converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))))]]) ).
cnf(refute_0_4528,plain,
( converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_4526,refute_0_4527]) ).
cnf(refute_0_4529,plain,
converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),
inference(resolve,[$cnf( $equal(converse(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))) )],[refute_0_4525,refute_0_4528]) ).
cnf(refute_0_4530,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))))),bind(Z,$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4531,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top))))) )],[refute_0_4529,refute_0_4530]) ).
cnf(refute_0_4532,plain,
converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),join(one,top)))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4458,refute_0_4531]) ).
cnf(refute_0_4533,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[0],$fot(converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4534,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4532,refute_0_4533]) ).
cnf(refute_0_4535,plain,
( converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))) != converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4446,refute_0_4534]) ).
cnf(refute_0_4536,plain,
converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),join(one,top))),converse(join(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4433,refute_0_4535]) ).
cnf(refute_0_4537,plain,
converse(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_5)) = join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_4538,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_5)) != join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_5)),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))) ),[0,0,0],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4539,plain,
( converse(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_5)) != join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2165,refute_0_4538]) ).
cnf(refute_0_4540,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),X_5)),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))) )],[refute_0_4537,refute_0_4539]) ).
cnf(refute_0_4541,plain,
join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) = join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)),
introduced(tautology,[refl,[$fot(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)))]]) ).
cnf(refute_0_4542,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) != join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4543,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))) )],[refute_0_4541,refute_0_4542]) ).
cnf(refute_0_4544,plain,
join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2330,refute_0_4543]) ).
cnf(refute_0_4545,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) != join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))
| join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))) ),[0],$fot(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)))]]) ).
cnf(refute_0_4546,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) != join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))) )],[refute_0_4544,refute_0_4545]) ).
cnf(refute_0_4547,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),converse(X_5))) )],[refute_0_4540,refute_0_4546]) ).
cnf(refute_0_4548,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_4547:[bind(X_5,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4549,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[0],$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4550,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4548,refute_0_4549]) ).
cnf(refute_0_4551,plain,
converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4536,refute_0_4550]) ).
cnf(refute_0_4552,plain,
( converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4553,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_4551,refute_0_4552]) ).
cnf(refute_0_4554,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != top
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),top) ),[0,1,0],$fot(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4555,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != top
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_4553,refute_0_4554]) ).
cnf(refute_0_4556,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),top) )],[refute_0_4429,refute_0_4555]) ).
cnf(refute_0_4557,plain,
composition(join(converse(X_414),X1),top) = join(composition(converse(X_414),top),composition(X1,top)),
inference(subst,[],[refute_0_715:[bind(X0,$fot(converse(X_414))),bind(X2,$fot(top))]]) ).
cnf(refute_0_4558,plain,
( composition(converse(X_414),top) != converse(composition(top,X_414))
| composition(join(converse(X_414),X1),top) != join(composition(converse(X_414),top),composition(X1,top))
| composition(join(converse(X_414),X1),top) = join(converse(composition(top,X_414)),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_414),X1),top),join(composition(converse(X_414),top),composition(X1,top))) ),[1,0],$fot(converse(composition(top,X_414)))]]) ).
cnf(refute_0_4559,plain,
( composition(join(converse(X_414),X1),top) != join(composition(converse(X_414),top),composition(X1,top))
| composition(join(converse(X_414),X1),top) = join(converse(composition(top,X_414)),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_414),top),converse(composition(top,X_414))) )],[refute_0_2371,refute_0_4558]) ).
cnf(refute_0_4560,plain,
composition(join(converse(X_414),X1),top) = join(converse(composition(top,X_414)),composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(join(converse(X_414),X1),top),join(composition(converse(X_414),top),composition(X1,top))) )],[refute_0_4557,refute_0_4559]) ).
cnf(refute_0_4561,plain,
( composition(join(converse(X_414),X1),top) != join(converse(composition(top,X_414)),composition(X1,top))
| join(converse(composition(top,X_414)),composition(X1,top)) = composition(join(converse(X_414),X1),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(converse(X_414),X1),top))),bind(Y,$fot(join(converse(composition(top,X_414)),composition(X1,top))))]]) ).
cnf(refute_0_4562,plain,
join(converse(composition(top,X_414)),composition(X1,top)) = composition(join(converse(X_414),X1),top),
inference(resolve,[$cnf( $equal(composition(join(converse(X_414),X1),top),join(converse(composition(top,X_414)),composition(X1,top))) )],[refute_0_4560,refute_0_4561]) ).
cnf(refute_0_4563,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top),
inference(subst,[],[refute_0_4562:[bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_414,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4564,plain,
converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_4565,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4566,plain,
( converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),[1,1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_4567,plain,
( converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_4565,refute_0_4566]) ).
cnf(refute_0_4568,plain,
join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_4564,refute_0_4567]) ).
cnf(refute_0_4569,plain,
complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4570,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4571,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$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_4572,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( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_4570,refute_0_4571]) ).
cnf(refute_0_4573,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2150,refute_0_4572]) ).
cnf(refute_0_4574,plain,
( complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != complement(complement(converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$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_4575,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( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_4573,refute_0_4574]) ).
cnf(refute_0_4576,plain,
complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4569,refute_0_4575]) ).
cnf(refute_0_4577,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_4578,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),[1,0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4579,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_4577,refute_0_4578]) ).
cnf(refute_0_4580,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4576,refute_0_4579]) ).
cnf(refute_0_4581,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))
| join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Z,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_4582,plain,
( join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) )],[refute_0_4580,refute_0_4581]) ).
cnf(refute_0_4583,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_4568,refute_0_4582]) ).
cnf(refute_0_4584,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),bind(Y,$fot(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_4585,plain,
( join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_4583,refute_0_4584]) ).
cnf(refute_0_4586,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(join(converse(composition(top,skolemFOFtoCNF_X0)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_4563,refute_0_4585]) ).
cnf(refute_0_4587,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != top
| composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) ),[0],$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top))]]) ).
cnf(refute_0_4588,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != top
| composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_4586,refute_0_4587]) ).
cnf(refute_0_4589,plain,
composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(converse(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),top) )],[refute_0_4556,refute_0_4588]) ).
cnf(refute_0_4590,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top) != top
| top != join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top = join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_4591,plain,
( top != join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top = join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top),top) )],[refute_0_4589,refute_0_4590]) ).
cnf(refute_0_4592,plain,
top = join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),top)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4428,refute_0_4591]) ).
cnf(refute_0_4593,plain,
join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_4594,plain,
converse(join(join(X_286,converse(X_284)),converse(X_285))) = converse(join(converse(X_285),join(X_286,converse(X_284)))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(join(X_286,converse(X_284)))),bind(X1,$fot(converse(X_285)))]]) ).
cnf(refute_0_4595,plain,
join(X_286,converse(join(X_285,X_284))) = join(converse(X_285),join(X_286,converse(X_284))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(X_284)),bind(X_6,$fot(X_285)),bind(X_7,$fot(X_286))]]) ).
cnf(refute_0_4596,plain,
( join(X_286,converse(join(X_285,X_284))) != join(converse(X_285),join(X_286,converse(X_284)))
| join(converse(X_285),join(X_286,converse(X_284))) = join(X_286,converse(join(X_285,X_284))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_286,converse(join(X_285,X_284))))),bind(Y,$fot(join(converse(X_285),join(X_286,converse(X_284)))))]]) ).
cnf(refute_0_4597,plain,
join(converse(X_285),join(X_286,converse(X_284))) = join(X_286,converse(join(X_285,X_284))),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(X_285,X_284))),join(converse(X_285),join(X_286,converse(X_284)))) )],[refute_0_4595,refute_0_4596]) ).
cnf(refute_0_4598,plain,
( converse(join(join(X_286,converse(X_284)),converse(X_285))) != converse(join(converse(X_285),join(X_286,converse(X_284))))
| join(converse(X_285),join(X_286,converse(X_284))) != join(X_286,converse(join(X_285,X_284)))
| converse(join(join(X_286,converse(X_284)),converse(X_285))) = converse(join(X_286,converse(join(X_285,X_284)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_286,converse(X_284)),converse(X_285))),converse(join(converse(X_285),join(X_286,converse(X_284))))) ),[1,0],$fot(join(X_286,converse(join(X_285,X_284))))]]) ).
cnf(refute_0_4599,plain,
( converse(join(join(X_286,converse(X_284)),converse(X_285))) != converse(join(converse(X_285),join(X_286,converse(X_284))))
| converse(join(join(X_286,converse(X_284)),converse(X_285))) = converse(join(X_286,converse(join(X_285,X_284)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(X_286,converse(X_284))),join(X_286,converse(join(X_285,X_284)))) )],[refute_0_4597,refute_0_4598]) ).
cnf(refute_0_4600,plain,
converse(join(join(X_286,converse(X_284)),converse(X_285))) = converse(join(X_286,converse(join(X_285,X_284)))),
inference(resolve,[$cnf( $equal(converse(join(join(X_286,converse(X_284)),converse(X_285))),converse(join(converse(X_285),join(X_286,converse(X_284))))) )],[refute_0_4594,refute_0_4599]) ).
cnf(refute_0_4601,plain,
join(join(converse(X_286),X_284),X_285) = join(converse(X_286),join(X_284,X_285)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(converse(X_286))),bind(X1,$fot(X_284)),bind(X2,$fot(X_285))]]) ).
cnf(refute_0_4602,plain,
converse(join(X_286,converse(X_284))) = join(converse(X_286),X_284),
inference(subst,[],[refute_0_400:[bind(X0,$fot(X_284)),bind(X_4,$fot(X_286))]]) ).
cnf(refute_0_4603,plain,
join(converse(join(X_286,converse(X_284))),X_285) = join(converse(join(X_286,converse(X_284))),X_285),
introduced(tautology,[refl,[$fot(join(converse(join(X_286,converse(X_284))),X_285))]]) ).
cnf(refute_0_4604,plain,
( converse(join(X_286,converse(X_284))) != join(converse(X_286),X_284)
| join(converse(join(X_286,converse(X_284))),X_285) != join(converse(join(X_286,converse(X_284))),X_285)
| join(converse(join(X_286,converse(X_284))),X_285) = join(join(converse(X_286),X_284),X_285) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_286,converse(X_284))),X_285),join(converse(join(X_286,converse(X_284))),X_285)) ),[1,0],$fot(join(converse(X_286),X_284))]]) ).
cnf(refute_0_4605,plain,
( converse(join(X_286,converse(X_284))) != join(converse(X_286),X_284)
| join(converse(join(X_286,converse(X_284))),X_285) = join(join(converse(X_286),X_284),X_285) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_286,converse(X_284))),X_285),join(converse(join(X_286,converse(X_284))),X_285)) )],[refute_0_4603,refute_0_4604]) ).
cnf(refute_0_4606,plain,
join(converse(join(X_286,converse(X_284))),X_285) = join(join(converse(X_286),X_284),X_285),
inference(resolve,[$cnf( $equal(converse(join(X_286,converse(X_284))),join(converse(X_286),X_284)) )],[refute_0_4602,refute_0_4605]) ).
cnf(refute_0_4607,plain,
( join(converse(join(X_286,converse(X_284))),X_285) != join(join(converse(X_286),X_284),X_285)
| join(join(converse(X_286),X_284),X_285) != join(converse(X_286),join(X_284,X_285))
| join(converse(join(X_286,converse(X_284))),X_285) = join(converse(X_286),join(X_284,X_285)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(X_286,converse(X_284))),X_285))),bind(Y,$fot(join(join(converse(X_286),X_284),X_285))),bind(Z,$fot(join(converse(X_286),join(X_284,X_285))))]]) ).
cnf(refute_0_4608,plain,
( join(join(converse(X_286),X_284),X_285) != join(converse(X_286),join(X_284,X_285))
| join(converse(join(X_286,converse(X_284))),X_285) = join(converse(X_286),join(X_284,X_285)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_286,converse(X_284))),X_285),join(join(converse(X_286),X_284),X_285)) )],[refute_0_4606,refute_0_4607]) ).
cnf(refute_0_4609,plain,
join(converse(join(X_286,converse(X_284))),X_285) = join(converse(X_286),join(X_284,X_285)),
inference(resolve,[$cnf( $equal(join(join(converse(X_286),X_284),X_285),join(converse(X_286),join(X_284,X_285))) )],[refute_0_4601,refute_0_4608]) ).
cnf(refute_0_4610,plain,
converse(join(join(X_286,converse(X_284)),converse(X_285))) = join(converse(join(X_286,converse(X_284))),X_285),
inference(subst,[],[refute_0_400:[bind(X0,$fot(X_285)),bind(X_4,$fot(join(X_286,converse(X_284))))]]) ).
cnf(refute_0_4611,plain,
( converse(join(join(X_286,converse(X_284)),converse(X_285))) != join(converse(join(X_286,converse(X_284))),X_285)
| join(converse(join(X_286,converse(X_284))),X_285) != join(converse(X_286),join(X_284,X_285))
| converse(join(join(X_286,converse(X_284)),converse(X_285))) = join(converse(X_286),join(X_284,X_285)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(X_286,converse(X_284)),converse(X_285))))),bind(Y,$fot(join(converse(join(X_286,converse(X_284))),X_285))),bind(Z,$fot(join(converse(X_286),join(X_284,X_285))))]]) ).
cnf(refute_0_4612,plain,
( join(converse(join(X_286,converse(X_284))),X_285) != join(converse(X_286),join(X_284,X_285))
| converse(join(join(X_286,converse(X_284)),converse(X_285))) = join(converse(X_286),join(X_284,X_285)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_286,converse(X_284)),converse(X_285))),join(converse(join(X_286,converse(X_284))),X_285)) )],[refute_0_4610,refute_0_4611]) ).
cnf(refute_0_4613,plain,
converse(join(join(X_286,converse(X_284)),converse(X_285))) = join(converse(X_286),join(X_284,X_285)),
inference(resolve,[$cnf( $equal(join(converse(join(X_286,converse(X_284))),X_285),join(converse(X_286),join(X_284,X_285))) )],[refute_0_4609,refute_0_4612]) ).
cnf(refute_0_4614,plain,
( converse(join(join(X_286,converse(X_284)),converse(X_285))) != converse(join(X_286,converse(join(X_285,X_284))))
| converse(join(join(X_286,converse(X_284)),converse(X_285))) != join(converse(X_286),join(X_284,X_285))
| join(converse(X_286),join(X_284,X_285)) = converse(join(X_286,converse(join(X_285,X_284)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_286,converse(X_284)),converse(X_285))),converse(join(X_286,converse(join(X_285,X_284))))) ),[0],$fot(join(converse(X_286),join(X_284,X_285)))]]) ).
cnf(refute_0_4615,plain,
( converse(join(join(X_286,converse(X_284)),converse(X_285))) != converse(join(X_286,converse(join(X_285,X_284))))
| join(converse(X_286),join(X_284,X_285)) = converse(join(X_286,converse(join(X_285,X_284)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_286,converse(X_284)),converse(X_285))),join(converse(X_286),join(X_284,X_285))) )],[refute_0_4613,refute_0_4614]) ).
cnf(refute_0_4616,plain,
converse(join(X_286,converse(join(X_285,X_284)))) = join(converse(X_286),join(X_285,X_284)),
inference(subst,[],[refute_0_400:[bind(X0,$fot(join(X_285,X_284))),bind(X_4,$fot(X_286))]]) ).
cnf(refute_0_4617,plain,
( converse(join(X_286,converse(join(X_285,X_284)))) != join(converse(X_286),join(X_285,X_284))
| join(converse(X_286),join(X_284,X_285)) != converse(join(X_286,converse(join(X_285,X_284))))
| join(converse(X_286),join(X_284,X_285)) = join(converse(X_286),join(X_285,X_284)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_286),join(X_284,X_285)),converse(join(X_286,converse(join(X_285,X_284))))) ),[1],$fot(join(converse(X_286),join(X_285,X_284)))]]) ).
cnf(refute_0_4618,plain,
( join(converse(X_286),join(X_284,X_285)) != converse(join(X_286,converse(join(X_285,X_284))))
| join(converse(X_286),join(X_284,X_285)) = join(converse(X_286),join(X_285,X_284)) ),
inference(resolve,[$cnf( $equal(converse(join(X_286,converse(join(X_285,X_284)))),join(converse(X_286),join(X_285,X_284))) )],[refute_0_4616,refute_0_4617]) ).
cnf(refute_0_4619,plain,
( converse(join(join(X_286,converse(X_284)),converse(X_285))) != converse(join(X_286,converse(join(X_285,X_284))))
| join(converse(X_286),join(X_284,X_285)) = join(converse(X_286),join(X_285,X_284)) ),
inference(resolve,[$cnf( $equal(join(converse(X_286),join(X_284,X_285)),converse(join(X_286,converse(join(X_285,X_284))))) )],[refute_0_4615,refute_0_4618]) ).
cnf(refute_0_4620,plain,
join(converse(X_286),join(X_284,X_285)) = join(converse(X_286),join(X_285,X_284)),
inference(resolve,[$cnf( $equal(converse(join(join(X_286,converse(X_284)),converse(X_285))),converse(join(X_286,converse(join(X_285,X_284))))) )],[refute_0_4600,refute_0_4619]) ).
cnf(refute_0_4621,plain,
( join(converse(X_286),join(X_284,X_285)) != join(converse(X_286),join(X_285,X_284))
| join(converse(X_286),join(X_285,X_284)) = join(converse(X_286),join(X_284,X_285)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(X_286),join(X_284,X_285)))),bind(Y,$fot(join(converse(X_286),join(X_285,X_284))))]]) ).
cnf(refute_0_4622,plain,
join(converse(X_286),join(X_285,X_284)) = join(converse(X_286),join(X_284,X_285)),
inference(resolve,[$cnf( $equal(join(converse(X_286),join(X_284,X_285)),join(converse(X_286),join(X_285,X_284))) )],[refute_0_4620,refute_0_4621]) ).
cnf(refute_0_4623,plain,
join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_4622:[bind(X_284,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_285,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),bind(X_286,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4624,plain,
join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4625,plain,
( join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4626,plain,
( join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4624,refute_0_4625]) ).
cnf(refute_0_4627,plain,
join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4623,refute_0_4626]) ).
cnf(refute_0_4628,plain,
join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4629,plain,
( complement(top) != zero
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4630,plain,
( complement(top) != zero
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4628,refute_0_4629]) ).
cnf(refute_0_4631,plain,
join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4630]) ).
cnf(refute_0_4632,plain,
( join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))))]]) ).
cnf(refute_0_4633,plain,
( join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4631,refute_0_4632]) ).
cnf(refute_0_4634,plain,
join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(resolve,[$cnf( $equal(join(zero,join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_4627,refute_0_4633]) ).
cnf(refute_0_4635,plain,
( join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_4636,plain,
( join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_4634,refute_0_4635]) ).
cnf(refute_0_4637,plain,
join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(join(zero,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4593,refute_0_4636]) ).
cnf(refute_0_4638,plain,
join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) = join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(join(X_286,converse(X_284)))),bind(X_6,$fot(converse(X_285)))]]) ).
cnf(refute_0_4639,plain,
( join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(converse(X_285),join(X_286,converse(X_284))) != join(X_286,converse(join(X_285,X_284)))
| join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))) ),[0,1,0],$fot(join(X_286,converse(join(X_285,X_284))))]]) ).
cnf(refute_0_4640,plain,
( join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(X_286,converse(X_284))),join(X_286,converse(join(X_285,X_284)))) )],[refute_0_4597,refute_0_4639]) ).
cnf(refute_0_4641,plain,
join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))) )],[refute_0_4638,refute_0_4640]) ).
cnf(refute_0_4642,plain,
join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(X_7,converse(join(X_286,converse(join(X_285,X_284))))),
introduced(tautology,[refl,[$fot(join(X_7,converse(join(X_286,converse(join(X_285,X_284))))))]]) ).
cnf(refute_0_4643,plain,
( converse(join(X_286,converse(join(X_285,X_284)))) != join(converse(X_286),join(X_285,X_284))
| join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) != join(X_7,converse(join(X_286,converse(join(X_285,X_284)))))
| join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(X_7,join(converse(X_286),join(X_285,X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(X_286,converse(join(X_285,X_284))))),join(X_7,converse(join(X_286,converse(join(X_285,X_284)))))) ),[1,1],$fot(join(converse(X_286),join(X_285,X_284)))]]) ).
cnf(refute_0_4644,plain,
( converse(join(X_286,converse(join(X_285,X_284)))) != join(converse(X_286),join(X_285,X_284))
| join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(X_7,join(converse(X_286),join(X_285,X_284))) ),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_286,converse(join(X_285,X_284))))),join(X_7,converse(join(X_286,converse(join(X_285,X_284)))))) )],[refute_0_4642,refute_0_4643]) ).
cnf(refute_0_4645,plain,
join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) = join(X_7,join(converse(X_286),join(X_285,X_284))),
inference(resolve,[$cnf( $equal(converse(join(X_286,converse(join(X_285,X_284)))),join(converse(X_286),join(X_285,X_284))) )],[refute_0_4616,refute_0_4644]) ).
cnf(refute_0_4646,plain,
( join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) != join(X_7,join(converse(X_286),join(X_285,X_284)))
| join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(X_7,join(converse(X_286),join(X_285,X_284))) = join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(X_286,converse(join(X_285,X_284))))),join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))) ),[0],$fot(join(X_7,join(converse(X_286),join(X_285,X_284))))]]) ).
cnf(refute_0_4647,plain,
( join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(X_7,join(converse(X_286),join(X_285,X_284))) = join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) ),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_286,converse(join(X_285,X_284))))),join(X_7,join(converse(X_286),join(X_285,X_284)))) )],[refute_0_4645,refute_0_4646]) ).
cnf(refute_0_4648,plain,
join(join(X_285,converse(X_286)),X_284) = join(X_285,join(converse(X_286),X_284)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_285)),bind(X1,$fot(converse(X_286))),bind(X2,$fot(X_284))]]) ).
cnf(refute_0_4649,plain,
converse(join(converse(X_285),X_286)) = join(X_285,converse(X_286)),
inference(subst,[],[refute_0_272:[bind(X0,$fot(X_285)),bind(X_5,$fot(X_286))]]) ).
cnf(refute_0_4650,plain,
join(converse(join(converse(X_285),X_286)),X_284) = join(converse(join(converse(X_285),X_286)),X_284),
introduced(tautology,[refl,[$fot(join(converse(join(converse(X_285),X_286)),X_284))]]) ).
cnf(refute_0_4651,plain,
( converse(join(converse(X_285),X_286)) != join(X_285,converse(X_286))
| join(converse(join(converse(X_285),X_286)),X_284) != join(converse(join(converse(X_285),X_286)),X_284)
| join(converse(join(converse(X_285),X_286)),X_284) = join(join(X_285,converse(X_286)),X_284) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(converse(X_285),X_286)),X_284),join(converse(join(converse(X_285),X_286)),X_284)) ),[1,0],$fot(join(X_285,converse(X_286)))]]) ).
cnf(refute_0_4652,plain,
( converse(join(converse(X_285),X_286)) != join(X_285,converse(X_286))
| join(converse(join(converse(X_285),X_286)),X_284) = join(join(X_285,converse(X_286)),X_284) ),
inference(resolve,[$cnf( $equal(join(converse(join(converse(X_285),X_286)),X_284),join(converse(join(converse(X_285),X_286)),X_284)) )],[refute_0_4650,refute_0_4651]) ).
cnf(refute_0_4653,plain,
join(converse(join(converse(X_285),X_286)),X_284) = join(join(X_285,converse(X_286)),X_284),
inference(resolve,[$cnf( $equal(converse(join(converse(X_285),X_286)),join(X_285,converse(X_286))) )],[refute_0_4649,refute_0_4652]) ).
cnf(refute_0_4654,plain,
( join(converse(join(converse(X_285),X_286)),X_284) != join(join(X_285,converse(X_286)),X_284)
| join(join(X_285,converse(X_286)),X_284) != join(X_285,join(converse(X_286),X_284))
| join(converse(join(converse(X_285),X_286)),X_284) = join(X_285,join(converse(X_286),X_284)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(converse(X_285),X_286)),X_284))),bind(Y,$fot(join(join(X_285,converse(X_286)),X_284))),bind(Z,$fot(join(X_285,join(converse(X_286),X_284))))]]) ).
cnf(refute_0_4655,plain,
( join(join(X_285,converse(X_286)),X_284) != join(X_285,join(converse(X_286),X_284))
| join(converse(join(converse(X_285),X_286)),X_284) = join(X_285,join(converse(X_286),X_284)) ),
inference(resolve,[$cnf( $equal(join(converse(join(converse(X_285),X_286)),X_284),join(join(X_285,converse(X_286)),X_284)) )],[refute_0_4653,refute_0_4654]) ).
cnf(refute_0_4656,plain,
join(converse(join(converse(X_285),X_286)),X_284) = join(X_285,join(converse(X_286),X_284)),
inference(resolve,[$cnf( $equal(join(join(X_285,converse(X_286)),X_284),join(X_285,join(converse(X_286),X_284))) )],[refute_0_4648,refute_0_4655]) ).
cnf(refute_0_4657,plain,
converse(join(converse(X_285),join(X_286,converse(X_284)))) = join(converse(join(converse(X_285),X_286)),X_284),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_284)),bind(X_55,$fot(converse(X_285))),bind(X_56,$fot(X_286))]]) ).
cnf(refute_0_4658,plain,
( converse(join(converse(X_285),join(X_286,converse(X_284)))) != join(converse(join(converse(X_285),X_286)),X_284)
| join(converse(join(converse(X_285),X_286)),X_284) != join(X_285,join(converse(X_286),X_284))
| converse(join(converse(X_285),join(X_286,converse(X_284)))) = join(X_285,join(converse(X_286),X_284)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X_285),join(X_286,converse(X_284)))))),bind(Y,$fot(join(converse(join(converse(X_285),X_286)),X_284))),bind(Z,$fot(join(X_285,join(converse(X_286),X_284))))]]) ).
cnf(refute_0_4659,plain,
( join(converse(join(converse(X_285),X_286)),X_284) != join(X_285,join(converse(X_286),X_284))
| converse(join(converse(X_285),join(X_286,converse(X_284)))) = join(X_285,join(converse(X_286),X_284)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_285),join(X_286,converse(X_284)))),join(converse(join(converse(X_285),X_286)),X_284)) )],[refute_0_4657,refute_0_4658]) ).
cnf(refute_0_4660,plain,
converse(join(converse(X_285),join(X_286,converse(X_284)))) = join(X_285,join(converse(X_286),X_284)),
inference(resolve,[$cnf( $equal(join(converse(join(converse(X_285),X_286)),X_284),join(X_285,join(converse(X_286),X_284))) )],[refute_0_4656,refute_0_4659]) ).
cnf(refute_0_4661,plain,
join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) = join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),
introduced(tautology,[refl,[$fot(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))))]]) ).
cnf(refute_0_4662,plain,
( converse(join(converse(X_285),join(X_286,converse(X_284)))) != join(X_285,join(converse(X_286),X_284))
| join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) != join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284)))))
| join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284)))))) ),[1,1],$fot(join(X_285,join(converse(X_286),X_284)))]]) ).
cnf(refute_0_4663,plain,
( converse(join(converse(X_285),join(X_286,converse(X_284)))) != join(X_285,join(converse(X_286),X_284))
| join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284)))))) )],[refute_0_4661,refute_0_4662]) ).
cnf(refute_0_4664,plain,
join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) = join(X_7,join(X_285,join(converse(X_286),X_284))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_285),join(X_286,converse(X_284)))),join(X_285,join(converse(X_286),X_284))) )],[refute_0_4660,refute_0_4663]) ).
cnf(refute_0_4665,plain,
( join(X_7,converse(join(X_6,X_5))) != join(converse(X_6),join(X_7,converse(X_5)))
| join(converse(X_6),join(X_7,converse(X_5))) = join(X_7,converse(join(X_6,X_5))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_7,converse(join(X_6,X_5))))),bind(Y,$fot(join(converse(X_6),join(X_7,converse(X_5)))))]]) ).
cnf(refute_0_4666,plain,
join(converse(X_6),join(X_7,converse(X_5))) = join(X_7,converse(join(X_6,X_5))),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,X_5))),join(converse(X_6),join(X_7,converse(X_5)))) )],[refute_0_4175,refute_0_4665]) ).
cnf(refute_0_4667,plain,
join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) = join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),
inference(subst,[],[refute_0_4666:[bind(X_5,$fot(join(X_286,converse(X_284)))),bind(X_6,$fot(converse(X_285)))]]) ).
cnf(refute_0_4668,plain,
( join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) != join(X_7,join(X_285,join(converse(X_286),X_284)))
| join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) != join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284)))))
| join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))))),bind(Y,$fot(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))))),bind(Z,$fot(join(X_7,join(X_285,join(converse(X_286),X_284)))))]]) ).
cnf(refute_0_4669,plain,
( join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))) != join(X_7,join(X_285,join(converse(X_286),X_284)))
| join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))),join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284)))))) )],[refute_0_4667,refute_0_4668]) ).
cnf(refute_0_4670,plain,
join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) = join(X_7,join(X_285,join(converse(X_286),X_284))),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(converse(X_285),join(X_286,converse(X_284))))),join(X_7,join(X_285,join(converse(X_286),X_284)))) )],[refute_0_4664,refute_0_4669]) ).
cnf(refute_0_4671,plain,
( join(X_7,join(converse(X_286),join(X_285,X_284))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))) != join(X_7,join(X_285,join(converse(X_286),X_284)))
| join(X_7,join(converse(X_286),join(X_285,X_284))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_7,join(converse(X_286),join(X_285,X_284))),join(X_7,join(X_285,join(converse(X_286),X_284)))) ),[0],$fot(join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))))]]) ).
cnf(refute_0_4672,plain,
( join(X_7,join(converse(X_286),join(X_285,X_284))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(X_7,join(converse(X_286),join(X_285,X_284))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284))))),join(X_7,join(X_285,join(converse(X_286),X_284)))) )],[refute_0_4670,refute_0_4671]) ).
cnf(refute_0_4673,plain,
( join(X_7,converse(join(X_286,converse(join(X_285,X_284))))) != join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))
| join(X_7,join(converse(X_286),join(X_285,X_284))) = join(X_7,join(X_285,join(converse(X_286),X_284))) ),
inference(resolve,[$cnf( $equal(join(X_7,join(converse(X_286),join(X_285,X_284))),join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))) )],[refute_0_4647,refute_0_4672]) ).
cnf(refute_0_4674,plain,
join(X_7,join(converse(X_286),join(X_285,X_284))) = join(X_7,join(X_285,join(converse(X_286),X_284))),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_286,converse(join(X_285,X_284))))),join(converse(converse(X_285)),join(X_7,converse(join(X_286,converse(X_284)))))) )],[refute_0_4641,refute_0_4673]) ).
cnf(refute_0_4675,plain,
( join(X_7,join(converse(X_286),join(X_285,X_284))) != join(X_7,join(X_285,join(converse(X_286),X_284)))
| join(X_7,join(X_285,join(converse(X_286),X_284))) = join(X_7,join(converse(X_286),join(X_285,X_284))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_7,join(converse(X_286),join(X_285,X_284))))),bind(Y,$fot(join(X_7,join(X_285,join(converse(X_286),X_284)))))]]) ).
cnf(refute_0_4676,plain,
join(X_7,join(X_285,join(converse(X_286),X_284))) = join(X_7,join(converse(X_286),join(X_285,X_284))),
inference(resolve,[$cnf( $equal(join(X_7,join(converse(X_286),join(X_285,X_284))),join(X_7,join(X_285,join(converse(X_286),X_284)))) )],[refute_0_4674,refute_0_4675]) ).
cnf(refute_0_4677,plain,
join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4676:[bind(X_284,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_285,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),bind(X_286,$fot(skolemFOFtoCNF_X0)),bind(X_7,$fot(complement(top)))]]) ).
cnf(refute_0_4678,plain,
join(X0,join(X1,join(X1,X_517))) = join(join(X0,X1),join(X1,X_517)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(join(X1,X_517)))]]) ).
cnf(refute_0_4679,plain,
join(X1,join(X1,X_517)) = join(X1,X_517),
inference(subst,[],[refute_0_1752:[bind(X_133,$fot(X_517))]]) ).
cnf(refute_0_4680,plain,
( join(X0,join(X1,join(X1,X_517))) != join(join(X0,X1),join(X1,X_517))
| join(X1,join(X1,X_517)) != join(X1,X_517)
| join(X0,join(X1,X_517)) = join(join(X0,X1),join(X1,X_517)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X1,X_517))),join(join(X0,X1),join(X1,X_517))) ),[0,1],$fot(join(X1,X_517))]]) ).
cnf(refute_0_4681,plain,
( join(X0,join(X1,join(X1,X_517))) != join(join(X0,X1),join(X1,X_517))
| join(X0,join(X1,X_517)) = join(join(X0,X1),join(X1,X_517)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X_517)),join(X1,X_517)) )],[refute_0_4679,refute_0_4680]) ).
cnf(refute_0_4682,plain,
join(X0,join(X1,X_517)) = join(join(X0,X1),join(X1,X_517)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X1,X_517))),join(join(X0,X1),join(X1,X_517))) )],[refute_0_4678,refute_0_4681]) ).
cnf(refute_0_4683,plain,
join(X_55,join(X_56,join(X_261,X_55))) = join(X_56,join(X_55,join(X_261,X_55))),
inference(subst,[],[refute_0_1696:[bind(X_57,$fot(join(X_261,X_55)))]]) ).
cnf(refute_0_4684,plain,
join(X_261,X_55) = join(X_55,join(X_261,X_55)),
inference(subst,[],[refute_0_1781:[bind(X_256,$fot(X_261)),bind(X_258,$fot(X_55))]]) ).
cnf(refute_0_4685,plain,
( join(X_261,X_55) != join(X_55,join(X_261,X_55))
| join(X_55,join(X_261,X_55)) = join(X_261,X_55) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_261,X_55))),bind(Y,$fot(join(X_55,join(X_261,X_55))))]]) ).
cnf(refute_0_4686,plain,
join(X_55,join(X_261,X_55)) = join(X_261,X_55),
inference(resolve,[$cnf( $equal(join(X_261,X_55),join(X_55,join(X_261,X_55))) )],[refute_0_4684,refute_0_4685]) ).
cnf(refute_0_4687,plain,
( join(X_55,join(X_261,X_55)) != join(X_261,X_55)
| join(X_55,join(X_56,join(X_261,X_55))) != join(X_56,join(X_55,join(X_261,X_55)))
| join(X_55,join(X_56,join(X_261,X_55))) = join(X_56,join(X_261,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(X_56,join(X_261,X_55))),join(X_56,join(X_55,join(X_261,X_55)))) ),[1,1],$fot(join(X_261,X_55))]]) ).
cnf(refute_0_4688,plain,
( join(X_55,join(X_56,join(X_261,X_55))) != join(X_56,join(X_55,join(X_261,X_55)))
| join(X_55,join(X_56,join(X_261,X_55))) = join(X_56,join(X_261,X_55)) ),
inference(resolve,[$cnf( $equal(join(X_55,join(X_261,X_55)),join(X_261,X_55)) )],[refute_0_4686,refute_0_4687]) ).
cnf(refute_0_4689,plain,
join(X_55,join(X_56,join(X_261,X_55))) = join(X_56,join(X_261,X_55)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,join(X_261,X_55))),join(X_56,join(X_55,join(X_261,X_55)))) )],[refute_0_4683,refute_0_4688]) ).
cnf(refute_0_4690,plain,
join(X1,join(X_517,join(X0,X1))) = join(X_517,join(X0,X1)),
inference(subst,[],[refute_0_4689:[bind(X_261,$fot(X0)),bind(X_55,$fot(X1)),bind(X_56,$fot(X_517))]]) ).
cnf(refute_0_4691,plain,
join(join(X0,X1),join(X1,X_517)) = join(X1,join(X_517,join(X0,X1))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(X1)),bind(X_257,$fot(join(X0,X1))),bind(X_258,$fot(X_517))]]) ).
cnf(refute_0_4692,plain,
( join(X1,join(X_517,join(X0,X1))) != join(X_517,join(X0,X1))
| join(join(X0,X1),join(X1,X_517)) != join(X1,join(X_517,join(X0,X1)))
| join(join(X0,X1),join(X1,X_517)) = join(X_517,join(X0,X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X1,X_517)))),bind(Y,$fot(join(X1,join(X_517,join(X0,X1))))),bind(Z,$fot(join(X_517,join(X0,X1))))]]) ).
cnf(refute_0_4693,plain,
( join(X1,join(X_517,join(X0,X1))) != join(X_517,join(X0,X1))
| join(join(X0,X1),join(X1,X_517)) = join(X_517,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X1,X_517)),join(X1,join(X_517,join(X0,X1)))) )],[refute_0_4691,refute_0_4692]) ).
cnf(refute_0_4694,plain,
join(join(X0,X1),join(X1,X_517)) = join(X_517,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X1,join(X_517,join(X0,X1))),join(X_517,join(X0,X1))) )],[refute_0_4690,refute_0_4693]) ).
cnf(refute_0_4695,plain,
( join(X0,join(X1,X_517)) != join(join(X0,X1),join(X1,X_517))
| join(join(X0,X1),join(X1,X_517)) != join(X_517,join(X0,X1))
| join(X0,join(X1,X_517)) = join(X_517,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,X_517)),join(X_517,join(X0,X1))) ),[0],$fot(join(join(X0,X1),join(X1,X_517)))]]) ).
cnf(refute_0_4696,plain,
( join(X0,join(X1,X_517)) != join(join(X0,X1),join(X1,X_517))
| join(X0,join(X1,X_517)) = join(X_517,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X1,X_517)),join(X_517,join(X0,X1))) )],[refute_0_4694,refute_0_4695]) ).
cnf(refute_0_4697,plain,
join(X0,join(X1,X_517)) = join(X_517,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_517)),join(join(X0,X1),join(X1,X_517))) )],[refute_0_4682,refute_0_4696]) ).
cnf(refute_0_4698,plain,
( join(X0,join(X1,X_517)) != join(X_517,join(X0,X1))
| join(X_517,join(X0,X1)) = join(X0,join(X1,X_517)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,X_517)))),bind(Y,$fot(join(X_517,join(X0,X1))))]]) ).
cnf(refute_0_4699,plain,
join(X_517,join(X0,X1)) = join(X0,join(X1,X_517)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_517)),join(X_517,join(X0,X1))) )],[refute_0_4697,refute_0_4698]) ).
cnf(refute_0_4700,plain,
join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4699:[bind(X0,$fot(complement(top))),bind(X1,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),bind(X_517,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4701,plain,
( join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4702,plain,
( join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4700,refute_0_4701]) ).
cnf(refute_0_4703,plain,
join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(top),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4677,refute_0_4702]) ).
cnf(refute_0_4704,plain,
( join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_4705,plain,
( join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4703,refute_0_4704]) ).
cnf(refute_0_4706,plain,
join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(top),join(converse(skolemFOFtoCNF_X0),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4637,refute_0_4705]) ).
cnf(refute_0_4707,plain,
( join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top != join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1],$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4708,plain,
( top != join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4706,refute_0_4707]) ).
cnf(refute_0_4709,plain,
top = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4592,refute_0_4708]) ).
cnf(refute_0_4710,plain,
join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(skolemFOFtoCNF_X0))),bind(X_95,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4711,plain,
join(complement(X_114),meet(X_114,X_298)) = join(join(complement(X_114),meet(X_114,X_298)),meet(X_298,join(complement(X_114),meet(X_114,X_298)))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(X_298)),bind(X_270,$fot(join(complement(X_114),meet(X_114,X_298))))]]) ).
cnf(refute_0_4712,plain,
X_298 = meet(X_298,join(complement(X_114),meet(X_114,X_298))),
inference(subst,[],[refute_0_4185:[bind(X_115,$fot(X_298))]]) ).
cnf(refute_0_4713,plain,
( X_298 != meet(X_298,join(complement(X_114),meet(X_114,X_298)))
| meet(X_298,join(complement(X_114),meet(X_114,X_298))) = X_298 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_298)),bind(Y,$fot(meet(X_298,join(complement(X_114),meet(X_114,X_298)))))]]) ).
cnf(refute_0_4714,plain,
meet(X_298,join(complement(X_114),meet(X_114,X_298))) = X_298,
inference(resolve,[$cnf( $equal(X_298,meet(X_298,join(complement(X_114),meet(X_114,X_298)))) )],[refute_0_4712,refute_0_4713]) ).
cnf(refute_0_4715,plain,
( join(complement(X_114),meet(X_114,X_298)) != join(join(complement(X_114),meet(X_114,X_298)),meet(X_298,join(complement(X_114),meet(X_114,X_298))))
| meet(X_298,join(complement(X_114),meet(X_114,X_298))) != X_298
| join(complement(X_114),meet(X_114,X_298)) = join(join(complement(X_114),meet(X_114,X_298)),X_298) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),meet(X_114,X_298)),join(join(complement(X_114),meet(X_114,X_298)),meet(X_298,join(complement(X_114),meet(X_114,X_298))))) ),[1,1],$fot(X_298)]]) ).
cnf(refute_0_4716,plain,
( join(complement(X_114),meet(X_114,X_298)) != join(join(complement(X_114),meet(X_114,X_298)),meet(X_298,join(complement(X_114),meet(X_114,X_298))))
| join(complement(X_114),meet(X_114,X_298)) = join(join(complement(X_114),meet(X_114,X_298)),X_298) ),
inference(resolve,[$cnf( $equal(meet(X_298,join(complement(X_114),meet(X_114,X_298))),X_298) )],[refute_0_4714,refute_0_4715]) ).
cnf(refute_0_4717,plain,
join(complement(X_114),meet(X_114,X_298)) = join(join(complement(X_114),meet(X_114,X_298)),X_298),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_114,X_298)),join(join(complement(X_114),meet(X_114,X_298)),meet(X_298,join(complement(X_114),meet(X_114,X_298))))) )],[refute_0_4711,refute_0_4716]) ).
cnf(refute_0_4718,plain,
join(X_55,join(X_56,meet(X_298,X_55))) = join(X_56,join(X_55,meet(X_298,X_55))),
inference(subst,[],[refute_0_1696:[bind(X_57,$fot(meet(X_298,X_55)))]]) ).
cnf(refute_0_4719,plain,
X_55 = join(X_55,meet(X_298,X_55)),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(X_298)),bind(X_270,$fot(X_55))]]) ).
cnf(refute_0_4720,plain,
( X_55 != join(X_55,meet(X_298,X_55))
| join(X_55,meet(X_298,X_55)) = X_55 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_55)),bind(Y,$fot(join(X_55,meet(X_298,X_55))))]]) ).
cnf(refute_0_4721,plain,
join(X_55,meet(X_298,X_55)) = X_55,
inference(resolve,[$cnf( $equal(X_55,join(X_55,meet(X_298,X_55))) )],[refute_0_4719,refute_0_4720]) ).
cnf(refute_0_4722,plain,
( join(X_55,join(X_56,meet(X_298,X_55))) != join(X_56,join(X_55,meet(X_298,X_55)))
| join(X_55,meet(X_298,X_55)) != X_55
| join(X_55,join(X_56,meet(X_298,X_55))) = join(X_56,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_55,join(X_56,meet(X_298,X_55))),join(X_56,join(X_55,meet(X_298,X_55)))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_4723,plain,
( join(X_55,join(X_56,meet(X_298,X_55))) != join(X_56,join(X_55,meet(X_298,X_55)))
| join(X_55,join(X_56,meet(X_298,X_55))) = join(X_56,X_55) ),
inference(resolve,[$cnf( $equal(join(X_55,meet(X_298,X_55)),X_55) )],[refute_0_4721,refute_0_4722]) ).
cnf(refute_0_4724,plain,
join(X_55,join(X_56,meet(X_298,X_55))) = join(X_56,X_55),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,meet(X_298,X_55))),join(X_56,join(X_55,meet(X_298,X_55)))) )],[refute_0_4718,refute_0_4723]) ).
cnf(refute_0_4725,plain,
join(X_298,join(complement(X_114),meet(X_114,X_298))) = join(complement(X_114),X_298),
inference(subst,[],[refute_0_4724:[bind(X_298,$fot(X_114)),bind(X_55,$fot(X_298)),bind(X_56,$fot(complement(X_114)))]]) ).
cnf(refute_0_4726,plain,
join(join(complement(X_114),meet(X_114,X_298)),X_298) = join(X_298,join(complement(X_114),meet(X_114,X_298))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(complement(X_114),meet(X_114,X_298)))),bind(X_20,$fot(X_298))]]) ).
cnf(refute_0_4727,plain,
( join(X_298,join(complement(X_114),meet(X_114,X_298))) != join(complement(X_114),X_298)
| join(join(complement(X_114),meet(X_114,X_298)),X_298) != join(X_298,join(complement(X_114),meet(X_114,X_298)))
| join(join(complement(X_114),meet(X_114,X_298)),X_298) = join(complement(X_114),X_298) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(X_114),meet(X_114,X_298)),X_298))),bind(Y,$fot(join(X_298,join(complement(X_114),meet(X_114,X_298))))),bind(Z,$fot(join(complement(X_114),X_298)))]]) ).
cnf(refute_0_4728,plain,
( join(X_298,join(complement(X_114),meet(X_114,X_298))) != join(complement(X_114),X_298)
| join(join(complement(X_114),meet(X_114,X_298)),X_298) = join(complement(X_114),X_298) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_114),meet(X_114,X_298)),X_298),join(X_298,join(complement(X_114),meet(X_114,X_298)))) )],[refute_0_4726,refute_0_4727]) ).
cnf(refute_0_4729,plain,
join(join(complement(X_114),meet(X_114,X_298)),X_298) = join(complement(X_114),X_298),
inference(resolve,[$cnf( $equal(join(X_298,join(complement(X_114),meet(X_114,X_298))),join(complement(X_114),X_298)) )],[refute_0_4725,refute_0_4728]) ).
cnf(refute_0_4730,plain,
( join(complement(X_114),meet(X_114,X_298)) != join(join(complement(X_114),meet(X_114,X_298)),X_298)
| join(join(complement(X_114),meet(X_114,X_298)),X_298) != join(complement(X_114),X_298)
| join(complement(X_114),meet(X_114,X_298)) = join(complement(X_114),X_298) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_114),meet(X_114,X_298)),join(complement(X_114),X_298)) ),[0],$fot(join(join(complement(X_114),meet(X_114,X_298)),X_298))]]) ).
cnf(refute_0_4731,plain,
( join(complement(X_114),meet(X_114,X_298)) != join(join(complement(X_114),meet(X_114,X_298)),X_298)
| join(complement(X_114),meet(X_114,X_298)) = join(complement(X_114),X_298) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_114),meet(X_114,X_298)),X_298),join(complement(X_114),X_298)) )],[refute_0_4729,refute_0_4730]) ).
cnf(refute_0_4732,plain,
join(complement(X_114),meet(X_114,X_298)) = join(complement(X_114),X_298),
inference(resolve,[$cnf( $equal(join(complement(X_114),meet(X_114,X_298)),join(join(complement(X_114),meet(X_114,X_298)),X_298)) )],[refute_0_4717,refute_0_4731]) ).
cnf(refute_0_4733,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4732:[bind(X_114,$fot(one)),bind(X_298,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4734,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(meet(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4735,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_4733,refute_0_4734]) ).
cnf(refute_0_4736,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),complement(skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_2057,refute_0_4735]) ).
cnf(refute_0_4737,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(meet(one,skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4738,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_4736,refute_0_4737]) ).
cnf(refute_0_4739,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_2066,refute_0_4738]) ).
cnf(refute_0_4740,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(one))),bind(X_95,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4741,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))),bind(Y,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4742,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4740,refute_0_4741]) ).
cnf(refute_0_4743,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_4739,refute_0_4742]) ).
cnf(refute_0_4744,plain,
composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(one))),bind(X_270,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))]]) ).
cnf(refute_0_4745,plain,
complement(one) = join(complement(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))]]) ).
cnf(refute_0_4746,plain,
join(X_286,converse(join(X_285,one))) = join(converse(X_285),join(X_286,converse(one))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(one)),bind(X_6,$fot(X_285)),bind(X_7,$fot(X_286))]]) ).
cnf(refute_0_4747,plain,
( converse(one) != one
| join(X_286,converse(join(X_285,one))) != join(converse(X_285),join(X_286,converse(one)))
| join(X_286,converse(join(X_285,one))) = join(converse(X_285),join(X_286,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,converse(join(X_285,one))),join(converse(X_285),join(X_286,converse(one)))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_4748,plain,
( join(X_286,converse(join(X_285,one))) != join(converse(X_285),join(X_286,converse(one)))
| join(X_286,converse(join(X_285,one))) = join(converse(X_285),join(X_286,one)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4747]) ).
cnf(refute_0_4749,plain,
join(X_286,converse(join(X_285,one))) = join(converse(X_285),join(X_286,one)),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(X_285,one))),join(converse(X_285),join(X_286,converse(one)))) )],[refute_0_4746,refute_0_4748]) ).
cnf(refute_0_4750,plain,
join(converse(X_285),join(X_286,one)) = join(one,join(converse(X_285),X_286)),
inference(subst,[],[refute_0_2010:[bind(X_256,$fot(converse(X_285))),bind(X_257,$fot(one)),bind(X_258,$fot(X_286))]]) ).
cnf(refute_0_4751,plain,
( join(X_286,converse(join(X_285,one))) != join(converse(X_285),join(X_286,one))
| join(converse(X_285),join(X_286,one)) != join(one,join(converse(X_285),X_286))
| join(X_286,converse(join(X_285,one))) = join(one,join(converse(X_285),X_286)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_286,converse(join(X_285,one))),join(one,join(converse(X_285),X_286))) ),[0],$fot(join(converse(X_285),join(X_286,one)))]]) ).
cnf(refute_0_4752,plain,
( join(X_286,converse(join(X_285,one))) != join(converse(X_285),join(X_286,one))
| join(X_286,converse(join(X_285,one))) = join(one,join(converse(X_285),X_286)) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(X_286,one)),join(one,join(converse(X_285),X_286))) )],[refute_0_4750,refute_0_4751]) ).
cnf(refute_0_4753,plain,
join(X_286,converse(join(X_285,one))) = join(one,join(converse(X_285),X_286)),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(X_285,one))),join(converse(X_285),join(X_286,one))) )],[refute_0_4749,refute_0_4752]) ).
cnf(refute_0_4754,plain,
join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(subst,[],[refute_0_4753:[bind(X_285,$fot(skolemFOFtoCNF_X0)),bind(X_286,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4755,plain,
( top != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_4756,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4709,refute_0_4755]) ).
cnf(refute_0_4757,plain,
( join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != top
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))),join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4758,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),top) )],[refute_0_4756,refute_0_4757]) ).
cnf(refute_0_4759,plain,
join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,top),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))),join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_4754,refute_0_4758]) ).
cnf(refute_0_4760,plain,
join(X0,join(meet(X0,X_276),X2)) = join(join(X0,meet(X0,X_276)),X2),
inference(subst,[],[refute_0_46:[bind(X1,$fot(meet(X0,X_276)))]]) ).
cnf(refute_0_4761,plain,
X0 = join(X0,meet(X0,X_276)),
inference(subst,[],[refute_0_2554:[bind(X1,$fot(X_276)),bind(X_275,$fot(X0))]]) ).
cnf(refute_0_4762,plain,
( X0 != join(X0,meet(X0,X_276))
| join(X0,meet(X0,X_276)) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(join(X0,meet(X0,X_276))))]]) ).
cnf(refute_0_4763,plain,
join(X0,meet(X0,X_276)) = X0,
inference(resolve,[$cnf( $equal(X0,join(X0,meet(X0,X_276))) )],[refute_0_4761,refute_0_4762]) ).
cnf(refute_0_4764,plain,
( join(X0,join(meet(X0,X_276),X2)) != join(join(X0,meet(X0,X_276)),X2)
| join(X0,meet(X0,X_276)) != X0
| join(X0,join(meet(X0,X_276),X2)) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,X_276),X2)),join(join(X0,meet(X0,X_276)),X2)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_4765,plain,
( join(X0,join(meet(X0,X_276),X2)) != join(join(X0,meet(X0,X_276)),X2)
| join(X0,join(meet(X0,X_276),X2)) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,meet(X0,X_276)),X0) )],[refute_0_4763,refute_0_4764]) ).
cnf(refute_0_4766,plain,
join(X0,join(meet(X0,X_276),X2)) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,X_276),X2)),join(join(X0,meet(X0,X_276)),X2)) )],[refute_0_4760,refute_0_4765]) ).
cnf(refute_0_4767,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(subst,[],[refute_0_4766:[bind(X0,$fot(one)),bind(X2,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),bind(X_276,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4768,plain,
join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) = join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(one)),bind(X_95,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4769,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) != join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one))),bind(Y,$fot(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Z,$fot(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4770,plain,
( join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one),join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4768,refute_0_4769]) ).
cnf(refute_0_4771,plain,
join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4767,refute_0_4770]) ).
cnf(refute_0_4772,plain,
join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(one,join(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),X_286)),
inference(subst,[],[refute_0_4753:[bind(X_285,$fot(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4773,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_45,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_46,$fot(top))]]) ).
cnf(refute_0_4774,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4775,plain,
composition(join(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(one)),bind(X_145,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4776,plain,
( composition(join(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_4777,plain,
( composition(join(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3230,refute_0_4776]) ).
cnf(refute_0_4778,plain,
composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4775,refute_0_4777]) ).
cnf(refute_0_4779,plain,
composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4780,plain,
( composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4781,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4779,refute_0_4780]) ).
cnf(refute_0_4782,plain,
composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4778,refute_0_4781]) ).
cnf(refute_0_4783,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),zero) ),[0,1,0,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4784,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4782,refute_0_4783]) ).
cnf(refute_0_4785,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),zero) )],[refute_0_4774,refute_0_4784]) ).
cnf(refute_0_4786,plain,
complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4787,plain,
converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4788,plain,
complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4789,plain,
( complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4790,plain,
( converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4788,refute_0_4789]) ).
cnf(refute_0_4791,plain,
complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4787,refute_0_4790]) ).
cnf(refute_0_4792,plain,
converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4793,plain,
( complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4794,plain,
( complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4792,refute_0_4793]) ).
cnf(refute_0_4795,plain,
converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4791,refute_0_4794]) ).
cnf(refute_0_4796,plain,
complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4797,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4798,plain,
( converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4796,refute_0_4797]) ).
cnf(refute_0_4799,plain,
complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4795,refute_0_4798]) ).
cnf(refute_0_4800,plain,
( complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4801,plain,
( complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4799,refute_0_4800]) ).
cnf(refute_0_4802,plain,
complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4786,refute_0_4801]) ).
cnf(refute_0_4803,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4804,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4805,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4803,refute_0_4804]) ).
cnf(refute_0_4806,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4802,refute_0_4805]) ).
cnf(refute_0_4807,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) ),[0],$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4808,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4806,refute_0_4807]) ).
cnf(refute_0_4809,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_4785,refute_0_4808]) ).
cnf(refute_0_4810,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != zero
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_4811,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_4809,refute_0_4810]) ).
cnf(refute_0_4812,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = complement(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4773,refute_0_4811]) ).
cnf(refute_0_4813,plain,
join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_4814,plain,
composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4815,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),X2)
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),X2)) ),[1,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4816,plain,
( composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),X2)
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4782,refute_0_4815]) ).
cnf(refute_0_4817,plain,
composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),X2)) )],[refute_0_4814,refute_0_4816]) ).
cnf(refute_0_4818,plain,
composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),
inference(subst,[],[refute_0_4817:[bind(X2,$fot(top))]]) ).
cnf(refute_0_4819,plain,
converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4820,plain,
( composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)
| converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) ),[1,0],$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))]]) ).
cnf(refute_0_4821,plain,
( composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)
| converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4819,refute_0_4820]) ).
cnf(refute_0_4822,plain,
converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_4818,refute_0_4821]) ).
cnf(refute_0_4823,plain,
composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) = converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_4824,plain,
( composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) != converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top))),bind(Y,$fot(converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),bind(Z,$fot(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4825,plain,
( converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top),converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4823,refute_0_4824]) ).
cnf(refute_0_4826,plain,
composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) )],[refute_0_4822,refute_0_4825]) ).
cnf(refute_0_4827,plain,
composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))]]) ).
cnf(refute_0_4828,plain,
( complement(zero) != top
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) != composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_4829,plain,
( complement(zero) != top
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) )],[refute_0_4827,refute_0_4828]) ).
cnf(refute_0_4830,plain,
composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_4829]) ).
cnf(refute_0_4831,plain,
( composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) != composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top)
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) != converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))),bind(Y,$fot(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top))),bind(Z,$fot(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4832,plain,
( composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top) != converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top)) )],[refute_0_4830,refute_0_4831]) ).
cnf(refute_0_4833,plain,
composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) = converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),top),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) )],[refute_0_4826,refute_0_4832]) ).
cnf(refute_0_4834,plain,
join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))))]]) ).
cnf(refute_0_4835,plain,
( composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) != converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))
| join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))) ),[1,1],$fot(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_4836,plain,
( composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)) != converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))) )],[refute_0_4834,refute_0_4835]) ).
cnf(refute_0_4837,plain,
join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) )],[refute_0_4833,refute_0_4836]) ).
cnf(refute_0_4838,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))))]]) ).
cnf(refute_0_4839,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4840,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))) )],[refute_0_4838,refute_0_4839]) ).
cnf(refute_0_4841,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_3263,refute_0_4840]) ).
cnf(refute_0_4842,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))
| join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))]]) ).
cnf(refute_0_4843,plain,
( join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero)))) )],[refute_0_4841,refute_0_4842]) ).
cnf(refute_0_4844,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4837,refute_0_4843]) ).
cnf(refute_0_4845,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))]]) ).
cnf(refute_0_4846,plain,
( join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4844,refute_0_4845]) ).
cnf(refute_0_4847,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) = converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4813,refute_0_4846]) ).
cnf(refute_0_4848,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4849,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = complement(complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4847,refute_0_4848]) ).
cnf(refute_0_4850,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4851,plain,
( converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_3263,refute_0_4850]) ).
cnf(refute_0_4852,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))) != complement(complement(converse(skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4849,refute_0_4851]) ).
cnf(refute_0_4853,plain,
converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),composition(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),complement(zero))),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4812,refute_0_4852]) ).
cnf(refute_0_4854,plain,
( converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(skolemFOFtoCNF_X0)
| join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) != join(one,join(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),X_286))
| join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))),join(one,join(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),X_286))) ),[1,1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4855,plain,
( join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) != join(one,join(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),X_286))
| join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4853,refute_0_4854]) ).
cnf(refute_0_4856,plain,
join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))),join(one,join(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),X_286))) )],[refute_0_4772,refute_0_4855]) ).
cnf(refute_0_4857,plain,
join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_4858,plain,
converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),
introduced(tautology,[refl,[$fot(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))]]) ).
cnf(refute_0_4859,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) ),[1,0],$fot(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_4860,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))
| converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) )],[refute_0_4858,refute_0_4859]) ).
cnf(refute_0_4861,plain,
converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) )],[refute_0_4857,refute_0_4860]) ).
cnf(refute_0_4862,plain,
join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) = join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),
introduced(tautology,[refl,[$fot(join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))))]]) ).
cnf(refute_0_4863,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) != join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))
| join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))) ),[1,1],$fot(converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4864,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) ),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))) )],[refute_0_4862,refute_0_4863]) ).
cnf(refute_0_4865,plain,
join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4861,refute_0_4864]) ).
cnf(refute_0_4866,plain,
join(join(X_286,converse(X_284)),converse(X_285)) = join(converse(X_285),join(X_286,converse(X_284))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(X_286,converse(X_284)))),bind(X1,$fot(converse(X_285)))]]) ).
cnf(refute_0_4867,plain,
( join(converse(X_285),join(X_286,converse(X_284))) != join(X_286,converse(join(X_285,X_284)))
| join(join(X_286,converse(X_284)),converse(X_285)) != join(converse(X_285),join(X_286,converse(X_284)))
| join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,converse(join(X_285,X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_286,converse(X_284)),converse(X_285)),join(converse(X_285),join(X_286,converse(X_284)))) ),[1],$fot(join(X_286,converse(join(X_285,X_284))))]]) ).
cnf(refute_0_4868,plain,
( join(join(X_286,converse(X_284)),converse(X_285)) != join(converse(X_285),join(X_286,converse(X_284)))
| join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,converse(join(X_285,X_284))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(X_286,converse(X_284))),join(X_286,converse(join(X_285,X_284)))) )],[refute_0_4597,refute_0_4867]) ).
cnf(refute_0_4869,plain,
join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,converse(join(X_285,X_284))),
inference(resolve,[$cnf( $equal(join(join(X_286,converse(X_284)),converse(X_285)),join(converse(X_285),join(X_286,converse(X_284)))) )],[refute_0_4866,refute_0_4868]) ).
cnf(refute_0_4870,plain,
join(converse(X_284),converse(X_285)) = converse(join(X_284,X_285)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(X_284)),bind(X1,$fot(X_285))]]) ).
cnf(refute_0_4871,plain,
join(X_286,join(converse(X_284),converse(X_285))) = join(X_286,join(converse(X_284),converse(X_285))),
introduced(tautology,[refl,[$fot(join(X_286,join(converse(X_284),converse(X_285))))]]) ).
cnf(refute_0_4872,plain,
( join(X_286,join(converse(X_284),converse(X_285))) != join(X_286,join(converse(X_284),converse(X_285)))
| join(converse(X_284),converse(X_285)) != converse(join(X_284,X_285))
| join(X_286,join(converse(X_284),converse(X_285))) = join(X_286,converse(join(X_284,X_285))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,join(converse(X_284),converse(X_285))),join(X_286,join(converse(X_284),converse(X_285)))) ),[1,1],$fot(converse(join(X_284,X_285)))]]) ).
cnf(refute_0_4873,plain,
( join(converse(X_284),converse(X_285)) != converse(join(X_284,X_285))
| join(X_286,join(converse(X_284),converse(X_285))) = join(X_286,converse(join(X_284,X_285))) ),
inference(resolve,[$cnf( $equal(join(X_286,join(converse(X_284),converse(X_285))),join(X_286,join(converse(X_284),converse(X_285)))) )],[refute_0_4871,refute_0_4872]) ).
cnf(refute_0_4874,plain,
join(X_286,join(converse(X_284),converse(X_285))) = join(X_286,converse(join(X_284,X_285))),
inference(resolve,[$cnf( $equal(join(converse(X_284),converse(X_285)),converse(join(X_284,X_285))) )],[refute_0_4870,refute_0_4873]) ).
cnf(refute_0_4875,plain,
join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,join(converse(X_284),converse(X_285))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_286)),bind(X1,$fot(converse(X_284))),bind(X2,$fot(converse(X_285)))]]) ).
cnf(refute_0_4876,plain,
( join(X_286,join(converse(X_284),converse(X_285))) != join(X_286,converse(join(X_284,X_285)))
| join(join(X_286,converse(X_284)),converse(X_285)) != join(X_286,join(converse(X_284),converse(X_285)))
| join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,converse(join(X_284,X_285))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_286,converse(X_284)),converse(X_285)))),bind(Y,$fot(join(X_286,join(converse(X_284),converse(X_285))))),bind(Z,$fot(join(X_286,converse(join(X_284,X_285)))))]]) ).
cnf(refute_0_4877,plain,
( join(X_286,join(converse(X_284),converse(X_285))) != join(X_286,converse(join(X_284,X_285)))
| join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,converse(join(X_284,X_285))) ),
inference(resolve,[$cnf( $equal(join(join(X_286,converse(X_284)),converse(X_285)),join(X_286,join(converse(X_284),converse(X_285)))) )],[refute_0_4875,refute_0_4876]) ).
cnf(refute_0_4878,plain,
join(join(X_286,converse(X_284)),converse(X_285)) = join(X_286,converse(join(X_284,X_285))),
inference(resolve,[$cnf( $equal(join(X_286,join(converse(X_284),converse(X_285))),join(X_286,converse(join(X_284,X_285)))) )],[refute_0_4874,refute_0_4877]) ).
cnf(refute_0_4879,plain,
( join(join(X_286,converse(X_284)),converse(X_285)) != join(X_286,converse(join(X_284,X_285)))
| join(join(X_286,converse(X_284)),converse(X_285)) != join(X_286,converse(join(X_285,X_284)))
| join(X_286,converse(join(X_284,X_285))) = join(X_286,converse(join(X_285,X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_286,converse(X_284)),converse(X_285)),join(X_286,converse(join(X_285,X_284)))) ),[0],$fot(join(X_286,converse(join(X_284,X_285))))]]) ).
cnf(refute_0_4880,plain,
( join(join(X_286,converse(X_284)),converse(X_285)) != join(X_286,converse(join(X_285,X_284)))
| join(X_286,converse(join(X_284,X_285))) = join(X_286,converse(join(X_285,X_284))) ),
inference(resolve,[$cnf( $equal(join(join(X_286,converse(X_284)),converse(X_285)),join(X_286,converse(join(X_284,X_285)))) )],[refute_0_4878,refute_0_4879]) ).
cnf(refute_0_4881,plain,
join(X_286,converse(join(X_284,X_285))) = join(X_286,converse(join(X_285,X_284))),
inference(resolve,[$cnf( $equal(join(join(X_286,converse(X_284)),converse(X_285)),join(X_286,converse(join(X_285,X_284)))) )],[refute_0_4869,refute_0_4880]) ).
cnf(refute_0_4882,plain,
( join(X_286,converse(join(X_284,X_285))) != join(X_286,converse(join(X_285,X_284)))
| join(X_286,converse(join(X_285,X_284))) = join(X_286,converse(join(X_284,X_285))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_286,converse(join(X_284,X_285))))),bind(Y,$fot(join(X_286,converse(join(X_285,X_284)))))]]) ).
cnf(refute_0_4883,plain,
join(X_286,converse(join(X_285,X_284))) = join(X_286,converse(join(X_284,X_285))),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(X_284,X_285))),join(X_286,converse(join(X_285,X_284)))) )],[refute_0_4881,refute_0_4882]) ).
cnf(refute_0_4884,plain,
join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),
inference(subst,[],[refute_0_4883:[bind(X_284,$fot(one)),bind(X_285,$fot(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4885,plain,
( join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) != join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))
| join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) != join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))))),bind(Y,$fot(join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))))),bind(Z,$fot(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))))]]) ).
cnf(refute_0_4886,plain,
( join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) != join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) ),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))),join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))) )],[refute_0_4884,refute_0_4885]) ).
cnf(refute_0_4887,plain,
join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))),join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) )],[refute_0_4865,refute_0_4886]) ).
cnf(refute_0_4888,plain,
( join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) != join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) != join(one,join(converse(skolemFOFtoCNF_X0),X_286))
| join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))),join(one,join(converse(skolemFOFtoCNF_X0),X_286))) ),[0],$fot(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))]]) ).
cnf(refute_0_4889,plain,
( join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))) != join(one,join(converse(skolemFOFtoCNF_X0),X_286))
| join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)) ),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))),join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) )],[refute_0_4887,refute_0_4888]) ).
cnf(refute_0_4890,plain,
join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)),one))),join(one,join(converse(skolemFOFtoCNF_X0),X_286))) )],[refute_0_4856,refute_0_4889]) ).
cnf(refute_0_4891,plain,
converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4892,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != converse(skolemFOFtoCNF_X0)
| converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(one,converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4893,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4853,refute_0_4892]) ).
cnf(refute_0_4894,plain,
converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(one,converse(join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) )],[refute_0_4891,refute_0_4893]) ).
cnf(refute_0_4895,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))
| converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,converse(skolemFOFtoCNF_X0))
| converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = join(one,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(one,converse(skolemFOFtoCNF_X0))) ),[0],$fot(converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_4896,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,converse(skolemFOFtoCNF_X0))
| converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = join(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_4861,refute_0_4895]) ).
cnf(refute_0_4897,plain,
converse(join(one,skolemFOFtoCNF_X0)) = converse(join(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(converse(join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4898,plain,
( converse(join(one,skolemFOFtoCNF_X0)) != converse(join(one,skolemFOFtoCNF_X0))
| join(one,skolemFOFtoCNF_X0) != one
| converse(join(one,skolemFOFtoCNF_X0)) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0)),converse(join(one,skolemFOFtoCNF_X0))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4899,plain,
( join(one,skolemFOFtoCNF_X0) != one
| converse(join(one,skolemFOFtoCNF_X0)) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0)),converse(join(one,skolemFOFtoCNF_X0))) )],[refute_0_4897,refute_0_4898]) ).
cnf(refute_0_4900,plain,
converse(join(one,skolemFOFtoCNF_X0)) = converse(one),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_4899]) ).
cnf(refute_0_4901,plain,
( converse(join(one,skolemFOFtoCNF_X0)) != converse(one)
| converse(one) != one
| converse(join(one,skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4902,plain,
( converse(one) != one
| converse(join(one,skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0)),converse(one)) )],[refute_0_4900,refute_0_4901]) ).
cnf(refute_0_4903,plain,
converse(join(one,skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4902]) ).
cnf(refute_0_4904,plain,
join(one,converse(skolemFOFtoCNF_X0)) = converse(join(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4905,plain,
( converse(join(one,skolemFOFtoCNF_X0)) != one
| join(one,converse(skolemFOFtoCNF_X0)) != converse(join(one,skolemFOFtoCNF_X0))
| join(one,converse(skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(one,skolemFOFtoCNF_X0)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4906,plain,
( converse(join(one,skolemFOFtoCNF_X0)) != one
| join(one,converse(skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0)),converse(join(one,skolemFOFtoCNF_X0))) )],[refute_0_4904,refute_0_4905]) ).
cnf(refute_0_4907,plain,
join(one,converse(skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(converse(join(one,skolemFOFtoCNF_X0)),one) )],[refute_0_4903,refute_0_4906]) ).
cnf(refute_0_4908,plain,
( converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != join(one,converse(skolemFOFtoCNF_X0))
| join(one,converse(skolemFOFtoCNF_X0)) != one
| converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),one) ),[0],$fot(join(one,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4909,plain,
( converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != join(one,converse(skolemFOFtoCNF_X0))
| converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = one ),
inference(resolve,[$cnf( $equal(join(one,converse(skolemFOFtoCNF_X0)),one) )],[refute_0_4907,refute_0_4908]) ).
cnf(refute_0_4910,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,converse(skolemFOFtoCNF_X0))
| converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),join(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_4896,refute_0_4909]) ).
cnf(refute_0_4911,plain,
converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) = one,
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_4894,refute_0_4910]) ).
cnf(refute_0_4912,plain,
join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),
introduced(tautology,[refl,[$fot(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))))]]) ).
cnf(refute_0_4913,plain,
( converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != one
| join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))
| join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(X_286,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4914,plain,
( converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))) != one
| join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(X_286,one) ),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))))) )],[refute_0_4912,refute_0_4913]) ).
cnf(refute_0_4915,plain,
join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) = join(X_286,one),
inference(resolve,[$cnf( $equal(converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top))),one) )],[refute_0_4911,refute_0_4914]) ).
cnf(refute_0_4916,plain,
( join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(X_286,one)
| join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,join(converse(skolemFOFtoCNF_X0),X_286))
| join(X_286,one) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(one,join(converse(skolemFOFtoCNF_X0),X_286))) ),[0],$fot(join(X_286,one))]]) ).
cnf(refute_0_4917,plain,
( join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))) != join(one,join(converse(skolemFOFtoCNF_X0),X_286))
| join(X_286,one) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)) ),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(X_286,one)) )],[refute_0_4915,refute_0_4916]) ).
cnf(refute_0_4918,plain,
join(X_286,one) = join(one,join(converse(skolemFOFtoCNF_X0),X_286)),
inference(resolve,[$cnf( $equal(join(X_286,converse(join(one,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)))),join(one,join(converse(skolemFOFtoCNF_X0),X_286))) )],[refute_0_4890,refute_0_4917]) ).
cnf(refute_0_4919,plain,
( join(X_286,one) != join(one,join(converse(skolemFOFtoCNF_X0),X_286))
| join(one,join(converse(skolemFOFtoCNF_X0),X_286)) = join(X_286,one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_286,one))),bind(Y,$fot(join(one,join(converse(skolemFOFtoCNF_X0),X_286))))]]) ).
cnf(refute_0_4920,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_286)) = join(X_286,one),
inference(resolve,[$cnf( $equal(join(X_286,one),join(one,join(converse(skolemFOFtoCNF_X0),X_286))) )],[refute_0_4918,refute_0_4919]) ).
cnf(refute_0_4921,plain,
join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one),
inference(subst,[],[refute_0_4920:[bind(X_286,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4922,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one)
| join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))),bind(Y,$fot(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one))),bind(Z,$fot(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4923,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one)) )],[refute_0_4921,refute_0_4922]) ).
cnf(refute_0_4924,plain,
join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),one),join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4771,refute_0_4923]) ).
cnf(refute_0_4925,plain,
join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(subst,[],[refute_0_3105:[bind(X_5,$fot(skolemFOFtoCNF_X0)),bind(X_57,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4926,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))),bind(Z,$fot(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4927,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_4925,refute_0_4926]) ).
cnf(refute_0_4928,plain,
join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4924,refute_0_4927]) ).
cnf(refute_0_4929,plain,
converse(join(X0,join(X_178,converse(X_180)))) = join(converse(X0),converse(join(X_178,converse(X_180)))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(join(X_178,converse(X_180))))]]) ).
cnf(refute_0_4930,plain,
join(X0,join(X_178,converse(X_180))) = join(X_178,join(X0,converse(X_180))),
inference(subst,[],[refute_0_372:[bind(X_19,$fot(X_178)),bind(X_20,$fot(X0)),bind(X_5,$fot(X_180))]]) ).
cnf(refute_0_4931,plain,
( converse(join(X0,join(X_178,converse(X_180)))) != join(converse(X0),converse(join(X_178,converse(X_180))))
| join(X0,join(X_178,converse(X_180))) != join(X_178,join(X0,converse(X_180)))
| converse(join(X_178,join(X0,converse(X_180)))) = join(converse(X0),converse(join(X_178,converse(X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_178,converse(X_180)))),join(converse(X0),converse(join(X_178,converse(X_180))))) ),[0,0],$fot(join(X_178,join(X0,converse(X_180))))]]) ).
cnf(refute_0_4932,plain,
( converse(join(X0,join(X_178,converse(X_180)))) != join(converse(X0),converse(join(X_178,converse(X_180))))
| converse(join(X_178,join(X0,converse(X_180)))) = join(converse(X0),converse(join(X_178,converse(X_180)))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_178,converse(X_180))),join(X_178,join(X0,converse(X_180)))) )],[refute_0_4930,refute_0_4931]) ).
cnf(refute_0_4933,plain,
converse(join(X_178,join(X0,converse(X_180)))) = join(converse(X0),converse(join(X_178,converse(X_180)))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_178,converse(X_180)))),join(converse(X0),converse(join(X_178,converse(X_180))))) )],[refute_0_4929,refute_0_4932]) ).
cnf(refute_0_4934,plain,
converse(join(X_178,join(X0,converse(X_180)))) = join(converse(join(X_178,X0)),X_180),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_180)),bind(X_55,$fot(X_178)),bind(X_56,$fot(X0))]]) ).
cnf(refute_0_4935,plain,
( converse(join(X_178,join(X0,converse(X_180)))) != join(converse(X0),converse(join(X_178,converse(X_180))))
| converse(join(X_178,join(X0,converse(X_180)))) != join(converse(join(X_178,X0)),X_180)
| join(converse(join(X_178,X0)),X_180) = join(converse(X0),converse(join(X_178,converse(X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_178,join(X0,converse(X_180)))),join(converse(X0),converse(join(X_178,converse(X_180))))) ),[0],$fot(join(converse(join(X_178,X0)),X_180))]]) ).
cnf(refute_0_4936,plain,
( converse(join(X_178,join(X0,converse(X_180)))) != join(converse(X0),converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,X0)),X_180) = join(converse(X0),converse(join(X_178,converse(X_180)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_178,join(X0,converse(X_180)))),join(converse(join(X_178,X0)),X_180)) )],[refute_0_4934,refute_0_4935]) ).
cnf(refute_0_4937,plain,
converse(join(X0,join(X_178,converse(X_180)))) = join(converse(join(X0,X_178)),X_180),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_180)),bind(X_55,$fot(X0)),bind(X_56,$fot(X_178))]]) ).
cnf(refute_0_4938,plain,
join(converse(X0),converse(join(X_178,converse(X_180)))) = converse(join(X0,join(X_178,converse(X_180)))),
inference(subst,[],[refute_0_308:[bind(X1,$fot(join(X_178,converse(X_180))))]]) ).
cnf(refute_0_4939,plain,
( converse(join(X0,join(X_178,converse(X_180)))) != join(converse(join(X0,X_178)),X_180)
| join(converse(X0),converse(join(X_178,converse(X_180)))) != converse(join(X0,join(X_178,converse(X_180))))
| join(converse(X0),converse(join(X_178,converse(X_180)))) = join(converse(join(X0,X_178)),X_180) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X0),converse(join(X_178,converse(X_180)))))),bind(Y,$fot(converse(join(X0,join(X_178,converse(X_180)))))),bind(Z,$fot(join(converse(join(X0,X_178)),X_180)))]]) ).
cnf(refute_0_4940,plain,
( converse(join(X0,join(X_178,converse(X_180)))) != join(converse(join(X0,X_178)),X_180)
| join(converse(X0),converse(join(X_178,converse(X_180)))) = join(converse(join(X0,X_178)),X_180) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_178,converse(X_180)))),converse(join(X0,join(X_178,converse(X_180))))) )],[refute_0_4938,refute_0_4939]) ).
cnf(refute_0_4941,plain,
join(converse(X0),converse(join(X_178,converse(X_180)))) = join(converse(join(X0,X_178)),X_180),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_178,converse(X_180)))),join(converse(join(X0,X_178)),X_180)) )],[refute_0_4937,refute_0_4940]) ).
cnf(refute_0_4942,plain,
( join(converse(X0),converse(join(X_178,converse(X_180)))) != join(converse(join(X0,X_178)),X_180)
| join(converse(join(X_178,X0)),X_180) != join(converse(X0),converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,X0)),X_180) = join(converse(join(X0,X_178)),X_180) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_178,X0)),X_180),join(converse(X0),converse(join(X_178,converse(X_180))))) ),[1],$fot(join(converse(join(X0,X_178)),X_180))]]) ).
cnf(refute_0_4943,plain,
( join(converse(join(X_178,X0)),X_180) != join(converse(X0),converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,X0)),X_180) = join(converse(join(X0,X_178)),X_180) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_178,converse(X_180)))),join(converse(join(X0,X_178)),X_180)) )],[refute_0_4941,refute_0_4942]) ).
cnf(refute_0_4944,plain,
( converse(join(X_178,join(X0,converse(X_180)))) != join(converse(X0),converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,X0)),X_180) = join(converse(join(X0,X_178)),X_180) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_178,X0)),X_180),join(converse(X0),converse(join(X_178,converse(X_180))))) )],[refute_0_4936,refute_0_4943]) ).
cnf(refute_0_4945,plain,
join(converse(join(X_178,X0)),X_180) = join(converse(join(X0,X_178)),X_180),
inference(resolve,[$cnf( $equal(converse(join(X_178,join(X0,converse(X_180)))),join(converse(X0),converse(join(X_178,converse(X_180))))) )],[refute_0_4933,refute_0_4944]) ).
cnf(refute_0_4946,plain,
( join(converse(join(X_178,X0)),X_180) != join(converse(join(X0,X_178)),X_180)
| join(converse(join(X0,X_178)),X_180) = join(converse(join(X_178,X0)),X_180) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(join(X_178,X0)),X_180))),bind(Y,$fot(join(converse(join(X0,X_178)),X_180)))]]) ).
cnf(refute_0_4947,plain,
join(converse(join(X0,X_178)),X_180) = join(converse(join(X_178,X0)),X_180),
inference(resolve,[$cnf( $equal(join(converse(join(X_178,X0)),X_180),join(converse(join(X0,X_178)),X_180)) )],[refute_0_4945,refute_0_4946]) ).
cnf(refute_0_4948,plain,
join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_4947:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_178,$fot(one)),bind(X_180,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4949,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Z,$fot(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4950,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4948,refute_0_4949]) ).
cnf(refute_0_4951,plain,
join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(join(converse(join(one,skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4928,refute_0_4950]) ).
cnf(refute_0_4952,plain,
join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(converse(join(skolemFOFtoCNF_X0,one)))),bind(X_95,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4953,plain,
( join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))))),bind(Y,$fot(join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Z,$fot(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4954,plain,
( join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))),join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4952,refute_0_4953]) ).
cnf(refute_0_4955,plain,
join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) = join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,one)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4951,refute_0_4954]) ).
cnf(refute_0_4956,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(one,top)
| join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))),join(one,top)) ),[0],$fot(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))]]) ).
cnf(refute_0_4957,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(one,top)
| join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))),join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4955,refute_0_4956]) ).
cnf(refute_0_4958,plain,
( join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != join(one,top)
| join(one,top) != top
| join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),top) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_4959,plain,
( join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != join(one,top)
| join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_4958]) ).
cnf(refute_0_4960,plain,
( join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))) != join(one,top)
| join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),join(one,top)) )],[refute_0_4957,refute_0_4959]) ).
cnf(refute_0_4961,plain,
join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = top,
inference(resolve,[$cnf( $equal(join(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),converse(join(skolemFOFtoCNF_X0,one))),join(one,top)) )],[refute_0_4759,refute_0_4960]) ).
cnf(refute_0_4962,plain,
( complement(one) != join(complement(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != top
| complement(one) = join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4963,plain,
( complement(one) != join(complement(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| complement(one) = join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),top) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
complement(one) = join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4745,refute_0_4963]) ).
cnf(refute_0_4965,plain,
join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4966,plain,
join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4967,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4968,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4966,refute_0_4967]) ).
cnf(refute_0_4969,plain,
join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4968]) ).
cnf(refute_0_4970,plain,
( join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Z,$fot(meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4971,plain,
( join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4969,refute_0_4970]) ).
cnf(refute_0_4972,plain,
join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4965,refute_0_4971]) ).
cnf(refute_0_4973,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| complement(one) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),[0],$fot(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4974,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| complement(one) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4972,refute_0_4973]) ).
cnf(refute_0_4975,plain,
complement(one) = meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4964,refute_0_4974]) ).
cnf(refute_0_4976,plain,
( complement(one) != meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_4977,plain,
meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_4975,refute_0_4976]) ).
cnf(refute_0_4978,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(one)
| composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_4979,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),complement(one)) )],[refute_0_4977,refute_0_4978]) ).
cnf(refute_0_4980,plain,
composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),meet(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4744,refute_0_4979]) ).
cnf(refute_0_4981,plain,
composition(one,complement(one)) = complement(one),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(one)))]]) ).
cnf(refute_0_4982,plain,
join(one,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(subst,[],[refute_0_4120:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_275,$fot(one))]]) ).
cnf(refute_0_4983,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),one) = join(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(one)),bind(X_95,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4984,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),one) != join(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(meet(one,complement(skolemFOFtoCNF_X0)),one) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),one))),bind(Y,$fot(join(one,meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4985,plain,
( join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(meet(one,complement(skolemFOFtoCNF_X0)),one) = one ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),one),join(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4983,refute_0_4984]) ).
cnf(refute_0_4986,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),one) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4982,refute_0_4985]) ).
cnf(refute_0_4987,plain,
join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),one),
inference(subst,[],[refute_0_4920:[bind(X_286,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4988,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),one) != one
| join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),one)
| join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4989,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),one) != one
| join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),one)) )],[refute_0_4987,refute_0_4988]) ).
cnf(refute_0_4990,plain,
join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),one),one) )],[refute_0_4986,refute_0_4989]) ).
cnf(refute_0_4991,plain,
composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),
introduced(tautology,[refl,[$fot(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))]]) ).
cnf(refute_0_4992,plain,
( composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))
| join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != one
| composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = composition(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4993,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) != one
| composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = composition(one,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) )],[refute_0_4991,refute_0_4992]) ).
cnf(refute_0_4994,plain,
composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = composition(one,complement(one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_4990,refute_0_4993]) ).
cnf(refute_0_4995,plain,
( composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != composition(one,complement(one))
| composition(one,complement(one)) != complement(one)
| composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))),bind(Y,$fot(composition(one,complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_4996,plain,
( composition(one,complement(one)) != complement(one)
| composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),composition(one,complement(one))) )],[refute_0_4994,refute_0_4995]) ).
cnf(refute_0_4997,plain,
composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_4981,refute_0_4996]) ).
cnf(refute_0_4998,plain,
composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one)) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_4999,plain,
join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one)),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_146,$fot(complement(one)))]]) ).
cnf(refute_0_5000,plain,
( composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one)) != composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))
| join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one))
| join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),bind(Y,$fot(composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one)))),bind(Z,$fot(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_5001,plain,
( composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one)) != composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))
| join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one))) )],[refute_0_4999,refute_0_5000]) ).
cnf(refute_0_5002,plain,
join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),
inference(resolve,[$cnf( $equal(composition(join(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),one),complement(one)),composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) )],[refute_0_4998,refute_0_5001]) ).
cnf(refute_0_5003,plain,
join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(one))),bind(X_95,$fot(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))]]) ).
cnf(refute_0_5004,plain,
( join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) != join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)))),bind(Y,$fot(join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),bind(Z,$fot(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_5005,plain,
( join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)),join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_5003,refute_0_5004]) ).
cnf(refute_0_5006,plain,
join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) )],[refute_0_5002,refute_0_5005]) ).
cnf(refute_0_5007,plain,
( composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != complement(one)
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) != composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)))),bind(Y,$fot(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5008,plain,
( composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) != complement(one)
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)),composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one))) )],[refute_0_5006,refute_0_5007]) ).
cnf(refute_0_5009,plain,
join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)),complement(one)) )],[refute_0_4997,refute_0_5008]) ).
cnf(refute_0_5010,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one))
| join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) != complement(one)
| composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) ),[0],$fot(join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)))]]) ).
cnf(refute_0_5011,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one))
| composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)),complement(one)) )],[refute_0_5009,refute_0_5010]) ).
cnf(refute_0_5012,plain,
composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),join(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one))) )],[refute_0_4980,refute_0_5011]) ).
cnf(refute_0_5013,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))]]) ).
cnf(refute_0_5014,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != complement(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5015,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)) != complement(one)
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) )],[refute_0_5013,refute_0_5014]) ).
cnf(refute_0_5016,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)),complement(one)) )],[refute_0_5012,refute_0_5015]) ).
cnf(refute_0_5017,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) != complement(skolemFOFtoCNF_X0)
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5018,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)) != complement(skolemFOFtoCNF_X0)
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one))) )],[refute_0_5016,refute_0_5017]) ).
cnf(refute_0_5019,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(one)),complement(skolemFOFtoCNF_X0)) )],[refute_0_4743,refute_0_5018]) ).
cnf(refute_0_5020,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_5021,plain,
( join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(skolemFOFtoCNF_X0)
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5022,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(skolemFOFtoCNF_X0)
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_5020,refute_0_5021]) ).
cnf(refute_0_5023,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),complement(skolemFOFtoCNF_X0)) )],[refute_0_5019,refute_0_5022]) ).
cnf(refute_0_5024,plain,
( join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5025,plain,
( join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_5023,refute_0_5024]) ).
cnf(refute_0_5026,plain,
join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_4710,refute_0_5025]) ).
cnf(refute_0_5027,plain,
( join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| top != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5028,plain,
( top != join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| top = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_5026,refute_0_5027]) ).
cnf(refute_0_5029,plain,
top = join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(top,join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_4709,refute_0_5028]) ).
cnf(refute_0_5030,plain,
( top != join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5031,plain,
join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_5029,refute_0_5030]) ).
cnf(refute_0_5032,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != top
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5033,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),top) )],[refute_0_5031,refute_0_5032]) ).
cnf(refute_0_5034,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1545,refute_0_5033]) ).
cnf(refute_0_5035,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5036,plain,
join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5037,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5038,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_5036,refute_0_5037]) ).
cnf(refute_0_5039,plain,
join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_5038]) ).
cnf(refute_0_5040,plain,
join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5041,plain,
converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_400:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_4,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5042,plain,
( converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5043,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_5041,refute_0_5042]) ).
cnf(refute_0_5044,plain,
converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_5040,refute_0_5043]) ).
cnf(refute_0_5045,plain,
( converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5046,plain,
( converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_1545,refute_0_5045]) ).
cnf(refute_0_5047,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_5044,refute_0_5046]) ).
cnf(refute_0_5048,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5049,plain,
( join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_5047,refute_0_5048]) ).
cnf(refute_0_5050,plain,
converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5039,refute_0_5049]) ).
cnf(refute_0_5051,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(top)
| converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),converse(top)) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5052,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(top)
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5050,refute_0_5051]) ).
cnf(refute_0_5053,plain,
( converse(top) != top
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != converse(top)
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_5054,plain,
( join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != converse(top)
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_5053]) ).
cnf(refute_0_5055,plain,
( converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(top)
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),converse(top)) )],[refute_0_5052,refute_0_5054]) ).
cnf(refute_0_5056,plain,
join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),converse(top)) )],[refute_0_5034,refute_0_5055]) ).
cnf(refute_0_5057,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != top
| complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5058,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_5056,refute_0_5057]) ).
cnf(refute_0_5059,plain,
complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_1544,refute_0_5058]) ).
cnf(refute_0_5060,plain,
join(zero,complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5061,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_96,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_5062,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != top
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5063,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),top) )],[refute_0_4756,refute_0_5062]) ).
cnf(refute_0_5064,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_5061,refute_0_5063]) ).
cnf(refute_0_5065,plain,
join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_5066,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_5067,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5068,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5068]) ).
cnf(refute_0_5070,plain,
( join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))),bind(Y,$fot(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))),bind(Z,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_5071,plain,
( join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_5069,refute_0_5070]) ).
cnf(refute_0_5072,plain,
join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_5065,refute_0_5071]) ).
cnf(refute_0_5073,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) != meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| complement(converse(skolemFOFtoCNF_X0)) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[0],$fot(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))))]]) ).
cnf(refute_0_5074,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))
| complement(converse(skolemFOFtoCNF_X0)) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_5072,refute_0_5073]) ).
cnf(refute_0_5075,plain,
complement(converse(skolemFOFtoCNF_X0)) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))) )],[refute_0_5064,refute_0_5074]) ).
cnf(refute_0_5076,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(skolemFOFtoCNF_X0))),bind(X_28,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5077,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),
introduced(tautology,[refl,[$fot(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_5078,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(skolemFOFtoCNF_X0)
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5079,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))) != complement(skolemFOFtoCNF_X0)
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_5077,refute_0_5078]) ).
cnf(refute_0_5080,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))),complement(skolemFOFtoCNF_X0)) )],[refute_0_5019,refute_0_5079]) ).
cnf(refute_0_5081,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))),bind(Y,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5082,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) )],[refute_0_5080,refute_0_5081]) ).
cnf(refute_0_5083,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5076,refute_0_5082]) ).
cnf(refute_0_5084,plain,
( complement(converse(skolemFOFtoCNF_X0)) != meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))) != meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))))]]) ).
cnf(refute_0_5085,plain,
( complement(converse(skolemFOFtoCNF_X0)) != meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))
| complement(converse(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one)))),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5083,refute_0_5084]) ).
cnf(refute_0_5086,plain,
complement(converse(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(one))))) )],[refute_0_5075,refute_0_5085]) ).
cnf(refute_0_5087,plain,
( complement(converse(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5088,plain,
meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5086,refute_0_5087]) ).
cnf(refute_0_5089,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5090,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5091,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5089,refute_0_5090]) ).
cnf(refute_0_5092,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5088,refute_0_5091]) ).
cnf(refute_0_5093,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5094,plain,
( complement(top) != zero
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5095,plain,
( complement(top) != zero
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5093,refute_0_5094]) ).
cnf(refute_0_5096,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5095]) ).
cnf(refute_0_5097,plain,
( join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(zero,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5098,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5096,refute_0_5097]) ).
cnf(refute_0_5099,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(zero,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5092,refute_0_5098]) ).
cnf(refute_0_5100,plain,
( join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,complement(converse(skolemFOFtoCNF_X0)))
| join(zero,complement(converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5101,plain,
( join(zero,complement(converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),join(zero,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5099,refute_0_5100]) ).
cnf(refute_0_5102,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5060,refute_0_5101]) ).
cnf(refute_0_5103,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5104,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))
| complement(skolemFOFtoCNF_X0) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5102,refute_0_5103]) ).
cnf(refute_0_5105,plain,
complement(skolemFOFtoCNF_X0) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(top),meet(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5059,refute_0_5104]) ).
cnf(refute_0_5106,plain,
( complement(skolemFOFtoCNF_X0) != complement(converse(skolemFOFtoCNF_X0))
| complement(converse(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5107,plain,
complement(converse(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5105,refute_0_5106]) ).
cnf(refute_0_5108,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) != complement(complement(converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5109,plain,
( converse(skolemFOFtoCNF_X0) != complement(complement(converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_5107,refute_0_5108]) ).
cnf(refute_0_5110,plain,
converse(skolemFOFtoCNF_X0) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1543,refute_0_5109]) ).
cnf(refute_0_5111,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| converse(skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5112,plain,
( converse(skolemFOFtoCNF_X0) != complement(complement(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_5111]) ).
cnf(refute_0_5113,plain,
converse(skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_5110,refute_0_5112]) ).
cnf(refute_0_5114,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5115,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_5114]) ).
cnf(refute_0_5116,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_1542,refute_0_5115]) ).
cnf(refute_0_5117,plain,
join(complement(one),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(complement(one)))]]) ).
cnf(refute_0_5118,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),skolemFOFtoCNF_X0)
| join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) ),[0],$fot(join(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5119,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),skolemFOFtoCNF_X0)
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5117,refute_0_5118]) ).
cnf(refute_0_5120,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_5116,refute_0_5119]) ).
cnf(refute_0_5121,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),[0,1,0,1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5122,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5120,refute_0_5121]) ).
cnf(refute_0_5123,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_1476,refute_0_5122]) ).
cnf(refute_0_5124,plain,
meet(complement(skolemFOFtoCNF_X0),one) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(one)),bind(X_28,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5125,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(complement(skolemFOFtoCNF_X0),one),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(one)),bind(X_31,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5126,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),one))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5127,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_5125,refute_0_5126]) ).
cnf(refute_0_5128,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5124,refute_0_5127]) ).
cnf(refute_0_5129,plain,
composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) = composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5130,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) != composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))
| composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))),composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5131,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))),composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5129,refute_0_5130]) ).
cnf(refute_0_5132,plain,
composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5131]) ).
cnf(refute_0_5133,plain,
converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) = converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5134,plain,
( composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) != converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5135,plain,
( composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5133,refute_0_5134]) ).
cnf(refute_0_5136,plain,
converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5132,refute_0_5135]) ).
cnf(refute_0_5137,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5138,plain,
( converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,1],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5139,plain,
( converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5137,refute_0_5138]) ).
cnf(refute_0_5140,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5136,refute_0_5139]) ).
cnf(refute_0_5141,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5142,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5143,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5141,refute_0_5142]) ).
cnf(refute_0_5144,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5143]) ).
cnf(refute_0_5145,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))))),bind(Z,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5146,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5144,refute_0_5145]) ).
cnf(refute_0_5147,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5140,refute_0_5146]) ).
cnf(refute_0_5148,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),[0],$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5149,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5147,refute_0_5148]) ).
cnf(refute_0_5150,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5151,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5150]) ).
cnf(refute_0_5152,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5149,refute_0_5151]) ).
cnf(refute_0_5153,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,complement(one)))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5123,refute_0_5152]) ).
cnf(refute_0_5154,plain,
meet(X_704,complement(join(X_31,complement(X1)))) = complement(join(complement(X_704),join(X_31,complement(X1)))),
inference(subst,[],[refute_0_903:[bind(X0,$fot(X_704)),bind(X_31,$fot(join(X_31,complement(X1))))]]) ).
cnf(refute_0_5155,plain,
( complement(join(X_31,complement(X1))) != meet(complement(X_31),X1)
| meet(X_704,complement(join(X_31,complement(X1)))) != complement(join(complement(X_704),join(X_31,complement(X1))))
| meet(X_704,meet(complement(X_31),X1)) = complement(join(complement(X_704),join(X_31,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_704,complement(join(X_31,complement(X1)))),complement(join(complement(X_704),join(X_31,complement(X1))))) ),[0,1],$fot(meet(complement(X_31),X1))]]) ).
cnf(refute_0_5156,plain,
( meet(X_704,complement(join(X_31,complement(X1)))) != complement(join(complement(X_704),join(X_31,complement(X1))))
| meet(X_704,meet(complement(X_31),X1)) = complement(join(complement(X_704),join(X_31,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_31,complement(X1))),meet(complement(X_31),X1)) )],[refute_0_1038,refute_0_5155]) ).
cnf(refute_0_5157,plain,
meet(X_704,meet(complement(X_31),X1)) = complement(join(complement(X_704),join(X_31,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(X_704,complement(join(X_31,complement(X1)))),complement(join(complement(X_704),join(X_31,complement(X1))))) )],[refute_0_5154,refute_0_5156]) ).
cnf(refute_0_5158,plain,
complement(join(complement(X_704),X_31)) = meet(X_704,complement(X_31)),
inference(subst,[],[refute_0_905:[bind(X0,$fot(X_704))]]) ).
cnf(refute_0_5159,plain,
meet(complement(join(complement(X_704),X_31)),X1) = meet(complement(join(complement(X_704),X_31)),X1),
introduced(tautology,[refl,[$fot(meet(complement(join(complement(X_704),X_31)),X1))]]) ).
cnf(refute_0_5160,plain,
( complement(join(complement(X_704),X_31)) != meet(X_704,complement(X_31))
| meet(complement(join(complement(X_704),X_31)),X1) != meet(complement(join(complement(X_704),X_31)),X1)
| meet(complement(join(complement(X_704),X_31)),X1) = meet(meet(X_704,complement(X_31)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(X_704),X_31)),X1),meet(complement(join(complement(X_704),X_31)),X1)) ),[1,0],$fot(meet(X_704,complement(X_31)))]]) ).
cnf(refute_0_5161,plain,
( complement(join(complement(X_704),X_31)) != meet(X_704,complement(X_31))
| meet(complement(join(complement(X_704),X_31)),X1) = meet(meet(X_704,complement(X_31)),X1) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_704),X_31)),X1),meet(complement(join(complement(X_704),X_31)),X1)) )],[refute_0_5159,refute_0_5160]) ).
cnf(refute_0_5162,plain,
meet(complement(join(complement(X_704),X_31)),X1) = meet(meet(X_704,complement(X_31)),X1),
inference(resolve,[$cnf( $equal(complement(join(complement(X_704),X_31)),meet(X_704,complement(X_31))) )],[refute_0_5158,refute_0_5161]) ).
cnf(refute_0_5163,plain,
meet(complement(join(X0,X1)),X_678) = complement(join(join(X0,X1),complement(X_678))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(X_678)),bind(X_31,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5164,plain,
join(X0,join(X1,complement(X_678))) = join(join(X0,X1),complement(X_678)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(complement(X_678)))]]) ).
cnf(refute_0_5165,plain,
( join(X0,join(X1,complement(X_678))) != join(join(X0,X1),complement(X_678))
| join(join(X0,X1),complement(X_678)) = join(X0,join(X1,complement(X_678))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,complement(X_678))))),bind(Y,$fot(join(join(X0,X1),complement(X_678))))]]) ).
cnf(refute_0_5166,plain,
join(join(X0,X1),complement(X_678)) = join(X0,join(X1,complement(X_678))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_678))),join(join(X0,X1),complement(X_678))) )],[refute_0_5164,refute_0_5165]) ).
cnf(refute_0_5167,plain,
( join(join(X0,X1),complement(X_678)) != join(X0,join(X1,complement(X_678)))
| meet(complement(join(X0,X1)),X_678) != complement(join(join(X0,X1),complement(X_678)))
| meet(complement(join(X0,X1)),X_678) = complement(join(X0,join(X1,complement(X_678)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X0,X1)),X_678),complement(join(join(X0,X1),complement(X_678)))) ),[1,0],$fot(join(X0,join(X1,complement(X_678))))]]) ).
cnf(refute_0_5168,plain,
( meet(complement(join(X0,X1)),X_678) != complement(join(join(X0,X1),complement(X_678)))
| meet(complement(join(X0,X1)),X_678) = complement(join(X0,join(X1,complement(X_678)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_678)),join(X0,join(X1,complement(X_678)))) )],[refute_0_5166,refute_0_5167]) ).
cnf(refute_0_5169,plain,
meet(complement(join(X0,X1)),X_678) = complement(join(X0,join(X1,complement(X_678)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_678),complement(join(join(X0,X1),complement(X_678)))) )],[refute_0_5163,refute_0_5168]) ).
cnf(refute_0_5170,plain,
( meet(complement(join(X0,X1)),X_678) != complement(join(X0,join(X1,complement(X_678))))
| complement(join(X0,join(X1,complement(X_678)))) = meet(complement(join(X0,X1)),X_678) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(join(X0,X1)),X_678))),bind(Y,$fot(complement(join(X0,join(X1,complement(X_678))))))]]) ).
cnf(refute_0_5171,plain,
complement(join(X0,join(X1,complement(X_678)))) = meet(complement(join(X0,X1)),X_678),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_678),complement(join(X0,join(X1,complement(X_678))))) )],[refute_0_5169,refute_0_5170]) ).
cnf(refute_0_5172,plain,
complement(join(complement(X_704),join(X_31,complement(X1)))) = meet(complement(join(complement(X_704),X_31)),X1),
inference(subst,[],[refute_0_5171:[bind(X0,$fot(complement(X_704))),bind(X1,$fot(X_31)),bind(X_678,$fot(X1))]]) ).
cnf(refute_0_5173,plain,
( complement(join(complement(X_704),join(X_31,complement(X1)))) != meet(complement(join(complement(X_704),X_31)),X1)
| meet(complement(join(complement(X_704),X_31)),X1) != meet(meet(X_704,complement(X_31)),X1)
| complement(join(complement(X_704),join(X_31,complement(X1)))) = meet(meet(X_704,complement(X_31)),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X_704),join(X_31,complement(X1)))))),bind(Y,$fot(meet(complement(join(complement(X_704),X_31)),X1))),bind(Z,$fot(meet(meet(X_704,complement(X_31)),X1)))]]) ).
cnf(refute_0_5174,plain,
( meet(complement(join(complement(X_704),X_31)),X1) != meet(meet(X_704,complement(X_31)),X1)
| complement(join(complement(X_704),join(X_31,complement(X1)))) = meet(meet(X_704,complement(X_31)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_704),join(X_31,complement(X1)))),meet(complement(join(complement(X_704),X_31)),X1)) )],[refute_0_5172,refute_0_5173]) ).
cnf(refute_0_5175,plain,
complement(join(complement(X_704),join(X_31,complement(X1)))) = meet(meet(X_704,complement(X_31)),X1),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_704),X_31)),X1),meet(meet(X_704,complement(X_31)),X1)) )],[refute_0_5162,refute_0_5174]) ).
cnf(refute_0_5176,plain,
( complement(join(complement(X_704),join(X_31,complement(X1)))) != meet(meet(X_704,complement(X_31)),X1)
| meet(X_704,meet(complement(X_31),X1)) != complement(join(complement(X_704),join(X_31,complement(X1))))
| meet(X_704,meet(complement(X_31),X1)) = meet(meet(X_704,complement(X_31)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_704,meet(complement(X_31),X1)),complement(join(complement(X_704),join(X_31,complement(X1))))) ),[1],$fot(meet(meet(X_704,complement(X_31)),X1))]]) ).
cnf(refute_0_5177,plain,
( meet(X_704,meet(complement(X_31),X1)) != complement(join(complement(X_704),join(X_31,complement(X1))))
| meet(X_704,meet(complement(X_31),X1)) = meet(meet(X_704,complement(X_31)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_704),join(X_31,complement(X1)))),meet(meet(X_704,complement(X_31)),X1)) )],[refute_0_5175,refute_0_5176]) ).
cnf(refute_0_5178,plain,
meet(X_704,meet(complement(X_31),X1)) = meet(meet(X_704,complement(X_31)),X1),
inference(resolve,[$cnf( $equal(meet(X_704,meet(complement(X_31),X1)),complement(join(complement(X_704),join(X_31,complement(X1))))) )],[refute_0_5157,refute_0_5177]) ).
cnf(refute_0_5179,plain,
( meet(X_704,meet(complement(X_31),X1)) != meet(meet(X_704,complement(X_31)),X1)
| meet(meet(X_704,complement(X_31)),X1) = meet(X_704,meet(complement(X_31),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_704,meet(complement(X_31),X1)))),bind(Y,$fot(meet(meet(X_704,complement(X_31)),X1)))]]) ).
cnf(refute_0_5180,plain,
meet(meet(X_704,complement(X_31)),X1) = meet(X_704,meet(complement(X_31),X1)),
inference(resolve,[$cnf( $equal(meet(X_704,meet(complement(X_31),X1)),meet(meet(X_704,complement(X_31)),X1)) )],[refute_0_5178,refute_0_5179]) ).
cnf(refute_0_5181,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_5180:[bind(X1,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_31,$fot(skolemFOFtoCNF_X0)),bind(X_704,$fot(one))]]) ).
cnf(refute_0_5182,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5183,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5181,refute_0_5182]) ).
cnf(refute_0_5184,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5153,refute_0_5183]) ).
cnf(refute_0_5185,plain,
join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_5186,plain,
composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top))) = zero,
inference(subst,[],[refute_0_727:[bind(X0,$fot(join(X1,X0)))]]) ).
cnf(refute_0_5187,plain,
( composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top))) != zero
| converse(join(X1,X0)) != converse(join(X0,X1))
| composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top))),zero) ),[0,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_5188,plain,
( composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top))) != zero
| composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_461,refute_0_5187]) ).
cnf(refute_0_5189,plain,
composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top))),zero) )],[refute_0_5186,refute_0_5188]) ).
cnf(refute_0_5190,plain,
composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),top))) = zero,
inference(subst,[],[refute_0_5189:[bind(X0,$fot(meet(complement(X1),X_96))),bind(X1,$fot(complement(join(X1,X_96))))]]) ).
cnf(refute_0_5191,plain,
( composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),top))) != zero
| join(complement(join(X1,X_96)),meet(complement(X1),X_96)) != complement(X1)
| composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),top))),zero) ),[0,1,0,0],$fot(complement(X1))]]) ).
cnf(refute_0_5192,plain,
( composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),top))) != zero
| composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),complement(X1)) )],[refute_0_1236,refute_0_5191]) ).
cnf(refute_0_5193,plain,
composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),top))),zero) )],[refute_0_5190,refute_0_5192]) ).
cnf(refute_0_5194,plain,
converse(complement(X1)) = complement(converse(X1)),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(X1))]]) ).
cnf(refute_0_5195,plain,
converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),
introduced(tautology,[refl,[$fot(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))))]]) ).
cnf(refute_0_5196,plain,
( converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) != converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))
| join(complement(join(X1,X_96)),meet(complement(X1),X_96)) != complement(X1)
| converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = converse(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_5197,plain,
( join(complement(join(X1,X_96)),meet(complement(X1),X_96)) != complement(X1)
| converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = converse(complement(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))) )],[refute_0_5195,refute_0_5196]) ).
cnf(refute_0_5198,plain,
converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = converse(complement(X1)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),complement(X1)) )],[refute_0_1236,refute_0_5197]) ).
cnf(refute_0_5199,plain,
( converse(complement(X1)) != complement(converse(X1))
| converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) != converse(complement(X1))
| converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = complement(converse(X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))))),bind(Y,$fot(converse(complement(X1)))),bind(Z,$fot(complement(converse(X1))))]]) ).
cnf(refute_0_5200,plain,
( converse(complement(X1)) != complement(converse(X1))
| converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = complement(converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),converse(complement(X1))) )],[refute_0_5198,refute_0_5199]) ).
cnf(refute_0_5201,plain,
converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) = complement(converse(X1)),
inference(resolve,[$cnf( $equal(converse(complement(X1)),complement(converse(X1))) )],[refute_0_5194,refute_0_5200]) ).
cnf(refute_0_5202,plain,
composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) = composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))),
introduced(tautology,[refl,[$fot(composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))))]]) ).
cnf(refute_0_5203,plain,
( composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) != composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top)))
| converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) != complement(converse(X1))
| composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) = composition(complement(converse(X1)),complement(composition(complement(X1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))),composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top)))) ),[1,0],$fot(complement(converse(X1)))]]) ).
cnf(refute_0_5204,plain,
( converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))) != complement(converse(X1))
| composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) = composition(complement(converse(X1)),complement(composition(complement(X1),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))),composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top)))) )],[refute_0_5202,refute_0_5203]) ).
cnf(refute_0_5205,plain,
composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) = composition(complement(converse(X1)),complement(composition(complement(X1),top))),
inference(resolve,[$cnf( $equal(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(converse(X1))) )],[refute_0_5201,refute_0_5204]) ).
cnf(refute_0_5206,plain,
composition(join(converse(complement(composition(X_162,top))),converse(X1)),X_162) = composition(converse(X1),X_162),
inference(subst,[],[refute_0_2725:[bind(X_145,$fot(converse(X1))),bind(X_146,$fot(X_162))]]) ).
cnf(refute_0_5207,plain,
converse(join(complement(composition(X_162,top)),X1)) = join(converse(complement(composition(X_162,top))),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(complement(composition(X_162,top))))]]) ).
cnf(refute_0_5208,plain,
( converse(join(complement(composition(X_162,top)),X1)) != join(converse(complement(composition(X_162,top))),converse(X1))
| join(converse(complement(composition(X_162,top))),converse(X1)) = converse(join(complement(composition(X_162,top)),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(complement(composition(X_162,top)),X1)))),bind(Y,$fot(join(converse(complement(composition(X_162,top))),converse(X1))))]]) ).
cnf(refute_0_5209,plain,
join(converse(complement(composition(X_162,top))),converse(X1)) = converse(join(complement(composition(X_162,top)),X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(X_162,top)),X1)),join(converse(complement(composition(X_162,top))),converse(X1))) )],[refute_0_5207,refute_0_5208]) ).
cnf(refute_0_5210,plain,
( composition(join(converse(complement(composition(X_162,top))),converse(X1)),X_162) != composition(converse(X1),X_162)
| join(converse(complement(composition(X_162,top))),converse(X1)) != converse(join(complement(composition(X_162,top)),X1))
| composition(converse(join(complement(composition(X_162,top)),X1)),X_162) = composition(converse(X1),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_162,top))),converse(X1)),X_162),composition(converse(X1),X_162)) ),[0,0],$fot(converse(join(complement(composition(X_162,top)),X1)))]]) ).
cnf(refute_0_5211,plain,
( composition(join(converse(complement(composition(X_162,top))),converse(X1)),X_162) != composition(converse(X1),X_162)
| composition(converse(join(complement(composition(X_162,top)),X1)),X_162) = composition(converse(X1),X_162) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_162,top))),converse(X1)),converse(join(complement(composition(X_162,top)),X1))) )],[refute_0_5209,refute_0_5210]) ).
cnf(refute_0_5212,plain,
composition(converse(join(complement(composition(X_162,top)),X1)),X_162) = composition(converse(X1),X_162),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_162,top))),converse(X1)),X_162),composition(converse(X1),X_162)) )],[refute_0_5206,refute_0_5211]) ).
cnf(refute_0_5213,plain,
composition(converse(join(complement(composition(X_162,top)),join(X_661,X_659))),X_162) = composition(converse(join(X_661,X_659)),X_162),
inference(subst,[],[refute_0_5212:[bind(X1,$fot(join(X_661,X_659)))]]) ).
cnf(refute_0_5214,plain,
join(X_659,join(complement(composition(X_162,top)),X_661)) = join(complement(composition(X_162,top)),join(X_661,X_659)),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(X_659)),bind(X_55,$fot(complement(composition(X_162,top)))),bind(X_56,$fot(X_661))]]) ).
cnf(refute_0_5215,plain,
( join(X_659,join(complement(composition(X_162,top)),X_661)) != join(complement(composition(X_162,top)),join(X_661,X_659))
| join(complement(composition(X_162,top)),join(X_661,X_659)) = join(X_659,join(complement(composition(X_162,top)),X_661)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_659,join(complement(composition(X_162,top)),X_661)))),bind(Y,$fot(join(complement(composition(X_162,top)),join(X_661,X_659))))]]) ).
cnf(refute_0_5216,plain,
join(complement(composition(X_162,top)),join(X_661,X_659)) = join(X_659,join(complement(composition(X_162,top)),X_661)),
inference(resolve,[$cnf( $equal(join(X_659,join(complement(composition(X_162,top)),X_661)),join(complement(composition(X_162,top)),join(X_661,X_659))) )],[refute_0_5214,refute_0_5215]) ).
cnf(refute_0_5217,plain,
( composition(converse(join(complement(composition(X_162,top)),join(X_661,X_659))),X_162) != composition(converse(join(X_661,X_659)),X_162)
| join(complement(composition(X_162,top)),join(X_661,X_659)) != join(X_659,join(complement(composition(X_162,top)),X_661))
| composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) = composition(converse(join(X_661,X_659)),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(composition(X_162,top)),join(X_661,X_659))),X_162),composition(converse(join(X_661,X_659)),X_162)) ),[0,0,0],$fot(join(X_659,join(complement(composition(X_162,top)),X_661)))]]) ).
cnf(refute_0_5218,plain,
( composition(converse(join(complement(composition(X_162,top)),join(X_661,X_659))),X_162) != composition(converse(join(X_661,X_659)),X_162)
| composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) = composition(converse(join(X_661,X_659)),X_162) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_162,top)),join(X_661,X_659)),join(X_659,join(complement(composition(X_162,top)),X_661))) )],[refute_0_5216,refute_0_5217]) ).
cnf(refute_0_5219,plain,
composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) = composition(converse(join(X_661,X_659)),X_162),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(X_162,top)),join(X_661,X_659))),X_162),composition(converse(join(X_661,X_659)),X_162)) )],[refute_0_5213,refute_0_5218]) ).
cnf(refute_0_5220,plain,
composition(converse(join(complement(composition(X_615,top)),join(X_55,X_57))),X_615) = composition(converse(join(X_55,X_57)),X_615),
inference(subst,[],[refute_0_5212:[bind(X1,$fot(join(X_55,X_57))),bind(X_162,$fot(X_615))]]) ).
cnf(refute_0_5221,plain,
join(X_55,join(complement(composition(X_615,top)),X_57)) = join(complement(composition(X_615,top)),join(X_55,X_57)),
inference(subst,[],[refute_0_1696:[bind(X_56,$fot(complement(composition(X_615,top))))]]) ).
cnf(refute_0_5222,plain,
( join(X_55,join(complement(composition(X_615,top)),X_57)) != join(complement(composition(X_615,top)),join(X_55,X_57))
| join(complement(composition(X_615,top)),join(X_55,X_57)) = join(X_55,join(complement(composition(X_615,top)),X_57)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(complement(composition(X_615,top)),X_57)))),bind(Y,$fot(join(complement(composition(X_615,top)),join(X_55,X_57))))]]) ).
cnf(refute_0_5223,plain,
join(complement(composition(X_615,top)),join(X_55,X_57)) = join(X_55,join(complement(composition(X_615,top)),X_57)),
inference(resolve,[$cnf( $equal(join(X_55,join(complement(composition(X_615,top)),X_57)),join(complement(composition(X_615,top)),join(X_55,X_57))) )],[refute_0_5221,refute_0_5222]) ).
cnf(refute_0_5224,plain,
( composition(converse(join(complement(composition(X_615,top)),join(X_55,X_57))),X_615) != composition(converse(join(X_55,X_57)),X_615)
| join(complement(composition(X_615,top)),join(X_55,X_57)) != join(X_55,join(complement(composition(X_615,top)),X_57))
| composition(converse(join(X_55,join(complement(composition(X_615,top)),X_57))),X_615) = composition(converse(join(X_55,X_57)),X_615) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(composition(X_615,top)),join(X_55,X_57))),X_615),composition(converse(join(X_55,X_57)),X_615)) ),[0,0,0],$fot(join(X_55,join(complement(composition(X_615,top)),X_57)))]]) ).
cnf(refute_0_5225,plain,
( composition(converse(join(complement(composition(X_615,top)),join(X_55,X_57))),X_615) != composition(converse(join(X_55,X_57)),X_615)
| composition(converse(join(X_55,join(complement(composition(X_615,top)),X_57))),X_615) = composition(converse(join(X_55,X_57)),X_615) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_615,top)),join(X_55,X_57)),join(X_55,join(complement(composition(X_615,top)),X_57))) )],[refute_0_5223,refute_0_5224]) ).
cnf(refute_0_5226,plain,
composition(converse(join(X_55,join(complement(composition(X_615,top)),X_57))),X_615) = composition(converse(join(X_55,X_57)),X_615),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(X_615,top)),join(X_55,X_57))),X_615),composition(converse(join(X_55,X_57)),X_615)) )],[refute_0_5220,refute_0_5225]) ).
cnf(refute_0_5227,plain,
composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) = composition(converse(join(X_659,X_661)),X_162),
inference(subst,[],[refute_0_5226:[bind(X_55,$fot(X_659)),bind(X_57,$fot(X_661)),bind(X_615,$fot(X_162))]]) ).
cnf(refute_0_5228,plain,
( composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) != composition(converse(join(X_659,X_661)),X_162)
| composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) != composition(converse(join(X_661,X_659)),X_162)
| composition(converse(join(X_659,X_661)),X_162) = composition(converse(join(X_661,X_659)),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162),composition(converse(join(X_661,X_659)),X_162)) ),[0],$fot(composition(converse(join(X_659,X_661)),X_162))]]) ).
cnf(refute_0_5229,plain,
( composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162) != composition(converse(join(X_661,X_659)),X_162)
| composition(converse(join(X_659,X_661)),X_162) = composition(converse(join(X_661,X_659)),X_162) ),
inference(resolve,[$cnf( $equal(composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162),composition(converse(join(X_659,X_661)),X_162)) )],[refute_0_5227,refute_0_5228]) ).
cnf(refute_0_5230,plain,
composition(converse(join(X_659,X_661)),X_162) = composition(converse(join(X_661,X_659)),X_162),
inference(resolve,[$cnf( $equal(composition(converse(join(X_659,join(complement(composition(X_162,top)),X_661))),X_162),composition(converse(join(X_661,X_659)),X_162)) )],[refute_0_5219,refute_0_5229]) ).
cnf(refute_0_5231,plain,
( composition(converse(join(X_659,X_661)),X_162) != composition(converse(join(X_661,X_659)),X_162)
| composition(converse(join(X_661,X_659)),X_162) = composition(converse(join(X_659,X_661)),X_162) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(converse(join(X_659,X_661)),X_162))),bind(Y,$fot(composition(converse(join(X_661,X_659)),X_162)))]]) ).
cnf(refute_0_5232,plain,
composition(converse(join(X_661,X_659)),X_162) = composition(converse(join(X_659,X_661)),X_162),
inference(resolve,[$cnf( $equal(composition(converse(join(X_659,X_661)),X_162),composition(converse(join(X_661,X_659)),X_162)) )],[refute_0_5230,refute_0_5231]) ).
cnf(refute_0_5233,plain,
composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))),
inference(subst,[],[refute_0_5232:[bind(X_162,$fot(complement(composition(complement(X1),top)))),bind(X_659,$fot(complement(join(X1,X_96)))),bind(X_661,$fot(meet(complement(X1),X_96)))]]) ).
cnf(refute_0_5234,plain,
( composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) != composition(complement(converse(X1)),complement(composition(complement(X1),top)))
| composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) != composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top)))
| composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = composition(complement(converse(X1)),complement(composition(complement(X1),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))))),bind(Y,$fot(composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))))),bind(Z,$fot(composition(complement(converse(X1)),complement(composition(complement(X1),top)))))]]) ).
cnf(refute_0_5235,plain,
( composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))) != composition(complement(converse(X1)),complement(composition(complement(X1),top)))
| composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = composition(complement(converse(X1)),complement(composition(complement(X1),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))),composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top)))) )],[refute_0_5233,refute_0_5234]) ).
cnf(refute_0_5236,plain,
composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) = composition(complement(converse(X1)),complement(composition(complement(X1),top))),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),complement(composition(complement(X1),top))),composition(complement(converse(X1)),complement(composition(complement(X1),top)))) )],[refute_0_5205,refute_0_5235]) ).
cnf(refute_0_5237,plain,
( composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) != composition(complement(converse(X1)),complement(composition(complement(X1),top)))
| composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) != zero
| composition(complement(converse(X1)),complement(composition(complement(X1),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))),zero) ),[0],$fot(composition(complement(converse(X1)),complement(composition(complement(X1),top))))]]) ).
cnf(refute_0_5238,plain,
( composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))) != zero
| composition(complement(converse(X1)),complement(composition(complement(X1),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))),composition(complement(converse(X1)),complement(composition(complement(X1),top)))) )],[refute_0_5236,refute_0_5237]) ).
cnf(refute_0_5239,plain,
composition(complement(converse(X1)),complement(composition(complement(X1),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(join(meet(complement(X1),X_96),complement(join(X1,X_96)))),complement(composition(complement(X1),top))),zero) )],[refute_0_5193,refute_0_5238]) ).
cnf(refute_0_5240,plain,
composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = zero,
inference(subst,[],[refute_0_5239:[bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5241,plain,
( composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != zero
| converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),zero) ),[0,0,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5242,plain,
( composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != zero
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5120,refute_0_5241]) ).
cnf(refute_0_5243,plain,
composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),zero) )],[refute_0_5240,refute_0_5242]) ).
cnf(refute_0_5244,plain,
composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) = composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top),
introduced(tautology,[refl,[$fot(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))]]) ).
cnf(refute_0_5245,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) != composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top),composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5246,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top),composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) )],[refute_0_5244,refute_0_5245]) ).
cnf(refute_0_5247,plain,
composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5246]) ).
cnf(refute_0_5248,plain,
complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) = complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))]]) ).
cnf(refute_0_5249,plain,
( complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) != complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) ),[1,0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_5250,plain,
( composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) )],[refute_0_5248,refute_0_5249]) ).
cnf(refute_0_5251,plain,
complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5247,refute_0_5250]) ).
cnf(refute_0_5252,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))))]]) ).
cnf(refute_0_5253,plain,
( complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) != complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))) ),[1,1],$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_5254,plain,
( complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)) != complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))) )],[refute_0_5252,refute_0_5253]) ).
cnf(refute_0_5255,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_5251,refute_0_5254]) ).
cnf(refute_0_5256,plain,
composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),
introduced(tautology,[refl,[$fot(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))))]]) ).
cnf(refute_0_5257,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5258,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))) )],[refute_0_5256,refute_0_5257]) ).
cnf(refute_0_5259,plain,
composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5258]) ).
cnf(refute_0_5260,plain,
( composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))))),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))))),bind(Z,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_5261,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top)))) )],[refute_0_5259,refute_0_5260]) ).
cnf(refute_0_5262,plain,
composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_5255,refute_0_5261]) ).
cnf(refute_0_5263,plain,
( composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != zero
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),zero) ),[0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_5264,plain,
( composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))) != zero
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_5262,refute_0_5263]) ).
cnf(refute_0_5265,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),complement(composition(complement(join(skolemFOFtoCNF_X0,complement(one))),top))),zero) )],[refute_0_5243,refute_0_5264]) ).
cnf(refute_0_5266,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != zero
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5267,plain,
( join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),zero) )],[refute_0_5265,refute_0_5266]) ).
cnf(refute_0_5268,plain,
join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_5185,refute_0_5267]) ).
cnf(refute_0_5269,plain,
join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X1,$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5270,plain,
composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_145,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5271,plain,
composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_270,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5272,plain,
complement(X_300) = join(complement(join(X_300,X_301)),meet(complement(X_300),X_301)),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(X_300)),bind(X_96,$fot(X_301))]]) ).
cnf(refute_0_5273,plain,
meet(X_301,complement(X_300)) = meet(complement(X_300),X_301),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_301)),bind(X_28,$fot(complement(X_300)))]]) ).
cnf(refute_0_5274,plain,
( meet(X_301,complement(X_300)) != meet(complement(X_300),X_301)
| meet(complement(X_300),X_301) = meet(X_301,complement(X_300)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_301,complement(X_300)))),bind(Y,$fot(meet(complement(X_300),X_301)))]]) ).
cnf(refute_0_5275,plain,
meet(complement(X_300),X_301) = meet(X_301,complement(X_300)),
inference(resolve,[$cnf( $equal(meet(X_301,complement(X_300)),meet(complement(X_300),X_301)) )],[refute_0_5273,refute_0_5274]) ).
cnf(refute_0_5276,plain,
( complement(X_300) != join(complement(join(X_300,X_301)),meet(complement(X_300),X_301))
| meet(complement(X_300),X_301) != meet(X_301,complement(X_300))
| complement(X_300) = join(complement(join(X_300,X_301)),meet(X_301,complement(X_300))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_300),join(complement(join(X_300,X_301)),meet(complement(X_300),X_301))) ),[1,1],$fot(meet(X_301,complement(X_300)))]]) ).
cnf(refute_0_5277,plain,
( complement(X_300) != join(complement(join(X_300,X_301)),meet(complement(X_300),X_301))
| complement(X_300) = join(complement(join(X_300,X_301)),meet(X_301,complement(X_300))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_300),X_301),meet(X_301,complement(X_300))) )],[refute_0_5275,refute_0_5276]) ).
cnf(refute_0_5278,plain,
complement(X_300) = join(complement(join(X_300,X_301)),meet(X_301,complement(X_300))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(join(X_300,X_301)),meet(complement(X_300),X_301))) )],[refute_0_5272,refute_0_5277]) ).
cnf(refute_0_5279,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5278:[bind(X_300,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_301,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5280,plain,
join(complement(converse(meet(X_109,X_108))),converse(join(meet(X_109,X_108),meet(complement(X_109),X_108)))) = top,
inference(subst,[],[refute_0_1377:[bind(X1,$fot(meet(X_109,X_108))),bind(X_223,$fot(meet(complement(X_109),X_108)))]]) ).
cnf(refute_0_5281,plain,
( join(complement(converse(meet(X_109,X_108))),converse(join(meet(X_109,X_108),meet(complement(X_109),X_108)))) != top
| join(meet(X_109,X_108),meet(complement(X_109),X_108)) != X_108
| join(complement(converse(meet(X_109,X_108))),converse(X_108)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(X_109,X_108))),converse(join(meet(X_109,X_108),meet(complement(X_109),X_108)))),top) ),[0,1,0],$fot(X_108)]]) ).
cnf(refute_0_5282,plain,
( join(complement(converse(meet(X_109,X_108))),converse(join(meet(X_109,X_108),meet(complement(X_109),X_108)))) != top
| join(complement(converse(meet(X_109,X_108))),converse(X_108)) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_109,X_108),meet(complement(X_109),X_108)),X_108) )],[refute_0_1989,refute_0_5281]) ).
cnf(refute_0_5283,plain,
join(complement(converse(meet(X_109,X_108))),converse(X_108)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_109,X_108))),converse(join(meet(X_109,X_108),meet(complement(X_109),X_108)))),top) )],[refute_0_5280,refute_0_5282]) ).
cnf(refute_0_5284,plain,
join(complement(converse(meet(X_109,X_108))),converse(X_108)) = join(converse(X_108),complement(converse(meet(X_109,X_108)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(converse(meet(X_109,X_108))))),bind(X_20,$fot(converse(X_108)))]]) ).
cnf(refute_0_5285,plain,
( join(complement(converse(meet(X_109,X_108))),converse(X_108)) != join(converse(X_108),complement(converse(meet(X_109,X_108))))
| join(complement(converse(meet(X_109,X_108))),converse(X_108)) != top
| join(converse(X_108),complement(converse(meet(X_109,X_108)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(X_109,X_108))),converse(X_108)),top) ),[0],$fot(join(converse(X_108),complement(converse(meet(X_109,X_108)))))]]) ).
cnf(refute_0_5286,plain,
( join(complement(converse(meet(X_109,X_108))),converse(X_108)) != top
| join(converse(X_108),complement(converse(meet(X_109,X_108)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_109,X_108))),converse(X_108)),join(converse(X_108),complement(converse(meet(X_109,X_108))))) )],[refute_0_5284,refute_0_5285]) ).
cnf(refute_0_5287,plain,
join(converse(X_108),complement(converse(meet(X_109,X_108)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_109,X_108))),converse(X_108)),top) )],[refute_0_5283,refute_0_5286]) ).
cnf(refute_0_5288,plain,
join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) = top,
inference(subst,[],[refute_0_5287:[bind(X_108,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_109,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5289,plain,
( join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != top
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),top) ),[0,1,0,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5290,plain,
( join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) != top
| join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5153,refute_0_5289]) ).
cnf(refute_0_5291,plain,
join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_5288,refute_0_5290]) ).
cnf(refute_0_5292,plain,
converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5293,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5294,plain,
( converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5295,plain,
( converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5293,refute_0_5294]) ).
cnf(refute_0_5296,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5292,refute_0_5295]) ).
cnf(refute_0_5297,plain,
join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_95,$fot(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5298,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5299,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5297,refute_0_5298]) ).
cnf(refute_0_5300,plain,
join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5296,refute_0_5299]) ).
cnf(refute_0_5301,plain,
( join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) ),[0],$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5302,plain,
( join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5300,refute_0_5301]) ).
cnf(refute_0_5303,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_5291,refute_0_5302]) ).
cnf(refute_0_5304,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != top
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5305,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_5303,refute_0_5304]) ).
cnf(refute_0_5306,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5279,refute_0_5305]) ).
cnf(refute_0_5307,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5308,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5309,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5307,refute_0_5308]) ).
cnf(refute_0_5310,plain,
join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5311,plain,
meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_28,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5312,plain,
meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5313,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5314,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5312,refute_0_5313]) ).
cnf(refute_0_5315,plain,
meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5307,refute_0_5314]) ).
cnf(refute_0_5316,plain,
( meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5317,plain,
( meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5315,refute_0_5316]) ).
cnf(refute_0_5318,plain,
meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5311,refute_0_5317]) ).
cnf(refute_0_5319,plain,
join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5320,plain,
( join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5321,plain,
( meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5319,refute_0_5320]) ).
cnf(refute_0_5322,plain,
join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5318,refute_0_5321]) ).
cnf(refute_0_5323,plain,
join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5324,plain,
( complement(top) != zero
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5325,plain,
( complement(top) != zero
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5323,refute_0_5324]) ).
cnf(refute_0_5326,plain,
join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5325]) ).
cnf(refute_0_5327,plain,
( join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5328,plain,
( join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5326,refute_0_5327]) ).
cnf(refute_0_5329,plain,
join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5322,refute_0_5328]) ).
cnf(refute_0_5330,plain,
( join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5331,plain,
( join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5329,refute_0_5330]) ).
cnf(refute_0_5332,plain,
join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5310,refute_0_5331]) ).
cnf(refute_0_5333,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5334,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5332,refute_0_5333]) ).
cnf(refute_0_5335,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5309,refute_0_5334]) ).
cnf(refute_0_5336,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),meet(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5306,refute_0_5335]) ).
cnf(refute_0_5337,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5338,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5336,refute_0_5337]) ).
cnf(refute_0_5339,plain,
( composition(top,meet(one,complement(skolemFOFtoCNF_X0))) != join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5340,plain,
( composition(top,meet(one,complement(skolemFOFtoCNF_X0))) != join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5338,refute_0_5339]) ).
cnf(refute_0_5341,plain,
composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5271,refute_0_5340]) ).
cnf(refute_0_5342,plain,
join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_95,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5343,plain,
( composition(top,meet(one,complement(skolemFOFtoCNF_X0))) != join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5344,plain,
( composition(top,meet(one,complement(skolemFOFtoCNF_X0))) != join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5342,refute_0_5343]) ).
cnf(refute_0_5345,plain,
composition(top,meet(one,complement(skolemFOFtoCNF_X0))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),join(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5341,refute_0_5344]) ).
cnf(refute_0_5346,plain,
( composition(top,meet(one,complement(skolemFOFtoCNF_X0))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5347,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5345,refute_0_5346]) ).
cnf(refute_0_5348,plain,
( composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0,0],$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5349,plain,
( composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5347,refute_0_5348]) ).
cnf(refute_0_5350,plain,
composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5270,refute_0_5349]) ).
cnf(refute_0_5351,plain,
composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5352,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != zero
| zero = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_5353,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_5351,refute_0_5352]) ).
cnf(refute_0_5354,plain,
composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_803:[bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5355,plain,
converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5356,plain,
( composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5357,plain,
( composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5355,refute_0_5356]) ).
cnf(refute_0_5358,plain,
converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5354,refute_0_5357]) ).
cnf(refute_0_5359,plain,
complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5360,plain,
( complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5361,plain,
( converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5359,refute_0_5360]) ).
cnf(refute_0_5362,plain,
complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5358,refute_0_5361]) ).
cnf(refute_0_5363,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5364,plain,
( complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5365,plain,
( complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5363,refute_0_5364]) ).
cnf(refute_0_5366,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5362,refute_0_5365]) ).
cnf(refute_0_5367,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| zero != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5368,plain,
( zero != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5366,refute_0_5367]) ).
cnf(refute_0_5369,plain,
( composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5353,refute_0_5368]) ).
cnf(refute_0_5370,plain,
zero = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(composition(top,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5350,refute_0_5369]) ).
cnf(refute_0_5371,plain,
( zero != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5372,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5370,refute_0_5371]) ).
cnf(refute_0_5373,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != zero
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5374,plain,
( join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5372,refute_0_5373]) ).
cnf(refute_0_5375,plain,
join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5269,refute_0_5374]) ).
cnf(refute_0_5376,plain,
composition(join(X0,converse(X_414)),top) = join(composition(X0,top),composition(converse(X_414),top)),
inference(subst,[],[refute_0_715:[bind(X1,$fot(converse(X_414))),bind(X2,$fot(top))]]) ).
cnf(refute_0_5377,plain,
( composition(converse(X_414),top) != converse(composition(top,X_414))
| composition(join(X0,converse(X_414)),top) != join(composition(X0,top),composition(converse(X_414),top))
| composition(join(X0,converse(X_414)),top) = join(composition(X0,top),converse(composition(top,X_414))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,converse(X_414)),top),join(composition(X0,top),composition(converse(X_414),top))) ),[1,1],$fot(converse(composition(top,X_414)))]]) ).
cnf(refute_0_5378,plain,
( composition(join(X0,converse(X_414)),top) != join(composition(X0,top),composition(converse(X_414),top))
| composition(join(X0,converse(X_414)),top) = join(composition(X0,top),converse(composition(top,X_414))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_414),top),converse(composition(top,X_414))) )],[refute_0_2371,refute_0_5377]) ).
cnf(refute_0_5379,plain,
composition(join(X0,converse(X_414)),top) = join(composition(X0,top),converse(composition(top,X_414))),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(X_414)),top),join(composition(X0,top),composition(converse(X_414),top))) )],[refute_0_5376,refute_0_5378]) ).
cnf(refute_0_5380,plain,
( composition(join(X0,converse(X_414)),top) != join(composition(X0,top),converse(composition(top,X_414)))
| join(composition(X0,top),converse(composition(top,X_414))) = composition(join(X0,converse(X_414)),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X0,converse(X_414)),top))),bind(Y,$fot(join(composition(X0,top),converse(composition(top,X_414)))))]]) ).
cnf(refute_0_5381,plain,
join(composition(X0,top),converse(composition(top,X_414))) = composition(join(X0,converse(X_414)),top),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(X_414)),top),join(composition(X0,top),converse(composition(top,X_414)))) )],[refute_0_5379,refute_0_5380]) ).
cnf(refute_0_5382,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),
inference(subst,[],[refute_0_5381:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_414,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5383,plain,
join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),X_21)),
inference(subst,[],[refute_0_4507:[bind(X_22,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))))]]) ).
cnf(refute_0_5384,plain,
composition(join(X_294,meet(X_294,X1)),complement(converse(composition(top,X_294)))) = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))),
inference(subst,[],[refute_0_1972:[bind(X_144,$fot(X_294)),bind(X_145,$fot(meet(X_294,X1)))]]) ).
cnf(refute_0_5385,plain,
X_294 = join(X_294,meet(X_294,X1)),
inference(subst,[],[refute_0_2554:[bind(X_275,$fot(X_294))]]) ).
cnf(refute_0_5386,plain,
( X_294 != join(X_294,meet(X_294,X1))
| join(X_294,meet(X_294,X1)) = X_294 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_294)),bind(Y,$fot(join(X_294,meet(X_294,X1))))]]) ).
cnf(refute_0_5387,plain,
join(X_294,meet(X_294,X1)) = X_294,
inference(resolve,[$cnf( $equal(X_294,join(X_294,meet(X_294,X1))) )],[refute_0_5385,refute_0_5386]) ).
cnf(refute_0_5388,plain,
( composition(join(X_294,meet(X_294,X1)),complement(converse(composition(top,X_294)))) != composition(meet(X_294,X1),complement(converse(composition(top,X_294))))
| join(X_294,meet(X_294,X1)) != X_294
| composition(X_294,complement(converse(composition(top,X_294)))) = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_294,meet(X_294,X1)),complement(converse(composition(top,X_294)))),composition(meet(X_294,X1),complement(converse(composition(top,X_294))))) ),[0,0],$fot(X_294)]]) ).
cnf(refute_0_5389,plain,
( composition(join(X_294,meet(X_294,X1)),complement(converse(composition(top,X_294)))) != composition(meet(X_294,X1),complement(converse(composition(top,X_294))))
| composition(X_294,complement(converse(composition(top,X_294)))) = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))) ),
inference(resolve,[$cnf( $equal(join(X_294,meet(X_294,X1)),X_294) )],[refute_0_5387,refute_0_5388]) ).
cnf(refute_0_5390,plain,
composition(X_294,complement(converse(composition(top,X_294)))) = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))),
inference(resolve,[$cnf( $equal(composition(join(X_294,meet(X_294,X1)),complement(converse(composition(top,X_294)))),composition(meet(X_294,X1),complement(converse(composition(top,X_294))))) )],[refute_0_5384,refute_0_5389]) ).
cnf(refute_0_5391,plain,
composition(X_294,complement(converse(composition(top,X_294)))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(X_294))]]) ).
cnf(refute_0_5392,plain,
( composition(X_294,complement(converse(composition(top,X_294)))) != composition(meet(X_294,X1),complement(converse(composition(top,X_294))))
| composition(X_294,complement(converse(composition(top,X_294)))) != zero
| zero = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_294,complement(converse(composition(top,X_294)))),composition(meet(X_294,X1),complement(converse(composition(top,X_294))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_5393,plain,
( composition(X_294,complement(converse(composition(top,X_294)))) != composition(meet(X_294,X1),complement(converse(composition(top,X_294))))
| zero = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))) ),
inference(resolve,[$cnf( $equal(composition(X_294,complement(converse(composition(top,X_294)))),zero) )],[refute_0_5391,refute_0_5392]) ).
cnf(refute_0_5394,plain,
zero = composition(meet(X_294,X1),complement(converse(composition(top,X_294)))),
inference(resolve,[$cnf( $equal(composition(X_294,complement(converse(composition(top,X_294)))),composition(meet(X_294,X1),complement(converse(composition(top,X_294))))) )],[refute_0_5390,refute_0_5393]) ).
cnf(refute_0_5395,plain,
zero = composition(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5394:[bind(X1,$fot(converse(meet(skolemFOFtoCNF_X0,X_695)))),bind(X_294,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5396,plain,
converse(meet(skolemFOFtoCNF_X0,X_689)) = join(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))),
inference(subst,[],[refute_0_1143:[bind(X_108,$fot(converse(meet(skolemFOFtoCNF_X0,X_689)))),bind(X_109,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5397,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = complement(join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637))))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(converse(meet(skolemFOFtoCNF_X0,X_637)))),bind(X_31,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5398,plain,
join(complement(converse(meet(X_95,X_96))),converse(join(meet(X_95,X_96),meet(complement(X_96),X_95)))) = top,
inference(subst,[],[refute_0_1377:[bind(X1,$fot(meet(X_95,X_96))),bind(X_223,$fot(meet(complement(X_96),X_95)))]]) ).
cnf(refute_0_5399,plain,
( X_95 != join(meet(X_95,X_96),meet(complement(X_96),X_95))
| join(meet(X_95,X_96),meet(complement(X_96),X_95)) = X_95 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_95)),bind(Y,$fot(join(meet(X_95,X_96),meet(complement(X_96),X_95))))]]) ).
cnf(refute_0_5400,plain,
join(meet(X_95,X_96),meet(complement(X_96),X_95)) = X_95,
inference(resolve,[$cnf( $equal(X_95,join(meet(X_95,X_96),meet(complement(X_96),X_95))) )],[refute_0_1046,refute_0_5399]) ).
cnf(refute_0_5401,plain,
( join(complement(converse(meet(X_95,X_96))),converse(join(meet(X_95,X_96),meet(complement(X_96),X_95)))) != top
| join(meet(X_95,X_96),meet(complement(X_96),X_95)) != X_95
| join(complement(converse(meet(X_95,X_96))),converse(X_95)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(X_95,X_96))),converse(join(meet(X_95,X_96),meet(complement(X_96),X_95)))),top) ),[0,1,0],$fot(X_95)]]) ).
cnf(refute_0_5402,plain,
( join(complement(converse(meet(X_95,X_96))),converse(join(meet(X_95,X_96),meet(complement(X_96),X_95)))) != top
| join(complement(converse(meet(X_95,X_96))),converse(X_95)) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_95,X_96),meet(complement(X_96),X_95)),X_95) )],[refute_0_5400,refute_0_5401]) ).
cnf(refute_0_5403,plain,
join(complement(converse(meet(X_95,X_96))),converse(X_95)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_95,X_96))),converse(join(meet(X_95,X_96),meet(complement(X_96),X_95)))),top) )],[refute_0_5398,refute_0_5402]) ).
cnf(refute_0_5404,plain,
join(complement(converse(meet(X_95,X_96))),converse(X_95)) = join(converse(X_95),complement(converse(meet(X_95,X_96)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(converse(meet(X_95,X_96))))),bind(X_20,$fot(converse(X_95)))]]) ).
cnf(refute_0_5405,plain,
( join(complement(converse(meet(X_95,X_96))),converse(X_95)) != join(converse(X_95),complement(converse(meet(X_95,X_96))))
| join(complement(converse(meet(X_95,X_96))),converse(X_95)) != top
| join(converse(X_95),complement(converse(meet(X_95,X_96)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(X_95,X_96))),converse(X_95)),top) ),[0],$fot(join(converse(X_95),complement(converse(meet(X_95,X_96)))))]]) ).
cnf(refute_0_5406,plain,
( join(complement(converse(meet(X_95,X_96))),converse(X_95)) != top
| join(converse(X_95),complement(converse(meet(X_95,X_96)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_95,X_96))),converse(X_95)),join(converse(X_95),complement(converse(meet(X_95,X_96))))) )],[refute_0_5404,refute_0_5405]) ).
cnf(refute_0_5407,plain,
join(converse(X_95),complement(converse(meet(X_95,X_96)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_95,X_96))),converse(X_95)),top) )],[refute_0_5403,refute_0_5406]) ).
cnf(refute_0_5408,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) = top,
inference(subst,[],[refute_0_5407:[bind(X_95,$fot(skolemFOFtoCNF_X0)),bind(X_96,$fot(X_637))]]) ).
cnf(refute_0_5409,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(skolemFOFtoCNF_X0),complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) != top
| join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(meet(skolemFOFtoCNF_X0,X_637)))),top) ),[0,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5410,plain,
( join(converse(skolemFOFtoCNF_X0),complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) != top
| join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) = top ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_5409]) ).
cnf(refute_0_5411,plain,
join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) = top,
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(meet(skolemFOFtoCNF_X0,X_637)))),top) )],[refute_0_5408,refute_0_5410]) ).
cnf(refute_0_5412,plain,
( join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))) != top
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) != complement(join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))))
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))),complement(join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5413,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) != complement(join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))))
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))),top) )],[refute_0_5411,refute_0_5412]) ).
cnf(refute_0_5414,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))),complement(join(skolemFOFtoCNF_X0,complement(converse(meet(skolemFOFtoCNF_X0,X_637)))))) )],[refute_0_5397,refute_0_5413]) ).
cnf(refute_0_5415,plain,
( complement(top) != zero
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) != complement(top)
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_5416,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) != complement(top)
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5415]) ).
cnf(refute_0_5417,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_637))),complement(top)) )],[refute_0_5414,refute_0_5416]) ).
cnf(refute_0_5418,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))) = zero,
inference(subst,[],[refute_0_5417:[bind(X_637,$fot(X_689))]]) ).
cnf(refute_0_5419,plain,
( converse(meet(skolemFOFtoCNF_X0,X_689)) != join(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))
| meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))) != zero
| converse(meet(skolemFOFtoCNF_X0,X_689)) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,X_689)),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5420,plain,
( converse(meet(skolemFOFtoCNF_X0,X_689)) != join(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))
| converse(meet(skolemFOFtoCNF_X0,X_689)) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))),zero) )],[refute_0_5418,refute_0_5419]) ).
cnf(refute_0_5421,plain,
converse(meet(skolemFOFtoCNF_X0,X_689)) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))),
inference(resolve,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,X_689)),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))) )],[refute_0_5396,refute_0_5420]) ).
cnf(refute_0_5422,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) = meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))]]) ).
cnf(refute_0_5423,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) != meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5424,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) )],[refute_0_5422,refute_0_5423]) ).
cnf(refute_0_5425,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_5424]) ).
cnf(refute_0_5426,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) = meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))))]]) ).
cnf(refute_0_5427,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) != meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) != meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))))),bind(Y,$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))))]]) ).
cnf(refute_0_5428,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))) != meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) )],[refute_0_5426,refute_0_5427]) ).
cnf(refute_0_5429,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))),meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))) )],[refute_0_5425,refute_0_5428]) ).
cnf(refute_0_5430,plain,
( converse(meet(skolemFOFtoCNF_X0,X_689)) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))) != meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))
| converse(meet(skolemFOFtoCNF_X0,X_689)) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(skolemFOFtoCNF_X0,X_689)),meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))) ),[0],$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))))]]) ).
cnf(refute_0_5431,plain,
( converse(meet(skolemFOFtoCNF_X0,X_689)) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))
| converse(meet(skolemFOFtoCNF_X0,X_689)) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689)))),meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689)))) )],[refute_0_5429,refute_0_5430]) ).
cnf(refute_0_5432,plain,
converse(meet(skolemFOFtoCNF_X0,X_689)) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_689))),
inference(resolve,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,X_689)),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(meet(skolemFOFtoCNF_X0,X_689))))) )],[refute_0_5421,refute_0_5431]) ).
cnf(refute_0_5433,plain,
converse(meet(skolemFOFtoCNF_X0,X_695)) = meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),
inference(subst,[],[refute_0_5432:[bind(X_689,$fot(X_695))]]) ).
cnf(refute_0_5434,plain,
( converse(meet(skolemFOFtoCNF_X0,X_695)) != meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695)))
| meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))) = converse(meet(skolemFOFtoCNF_X0,X_695)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(meet(skolemFOFtoCNF_X0,X_695)))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695)))))]]) ).
cnf(refute_0_5435,plain,
meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))) = converse(meet(skolemFOFtoCNF_X0,X_695)),
inference(resolve,[$cnf( $equal(converse(meet(skolemFOFtoCNF_X0,X_695)),meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695)))) )],[refute_0_5433,refute_0_5434]) ).
cnf(refute_0_5436,plain,
( meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))) != converse(meet(skolemFOFtoCNF_X0,X_695))
| zero != composition(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| zero = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(meet(skolemFOFtoCNF_X0,X_695)))]]) ).
cnf(refute_0_5437,plain,
( zero != composition(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| zero = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),converse(meet(skolemFOFtoCNF_X0,X_695))) )],[refute_0_5435,refute_0_5436]) ).
cnf(refute_0_5438,plain,
zero = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(zero,composition(meet(skolemFOFtoCNF_X0,converse(meet(skolemFOFtoCNF_X0,X_695))),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5395,refute_0_5437]) ).
cnf(refute_0_5439,plain,
composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) = composition(converse(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_397,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5440,plain,
composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(converse(skolemFOFtoCNF_X0))),bind(X_145,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5441,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5442,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_3271,refute_0_5441]) ).
cnf(refute_0_5443,plain,
composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5440,refute_0_5442]) ).
cnf(refute_0_5444,plain,
composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5445,plain,
( composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5446,plain,
( composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5444,refute_0_5445]) ).
cnf(refute_0_5447,plain,
complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5443,refute_0_5446]) ).
cnf(refute_0_5448,plain,
( complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5449,plain,
composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5447,refute_0_5448]) ).
cnf(refute_0_5450,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(converse(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top),composition(converse(skolemFOFtoCNF_X0),top)) ),[0,0,1],$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5451,plain,
( composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(converse(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5449,refute_0_5450]) ).
cnf(refute_0_5452,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(converse(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top),composition(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_5439,refute_0_5451]) ).
cnf(refute_0_5453,plain,
composition(converse(skolemFOFtoCNF_X0),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5454,plain,
( composition(converse(skolemFOFtoCNF_X0),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(converse(skolemFOFtoCNF_X0),top)) ),[1],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5455,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) != composition(converse(skolemFOFtoCNF_X0),top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5453,refute_0_5454]) ).
cnf(refute_0_5456,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(converse(skolemFOFtoCNF_X0),top)) )],[refute_0_5452,refute_0_5455]) ).
cnf(refute_0_5457,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5458,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5459,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5457,refute_0_5458]) ).
cnf(refute_0_5460,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_5107,refute_0_5459]) ).
cnf(refute_0_5461,plain,
composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5462,plain,
( composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5463,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5461,refute_0_5462]) ).
cnf(refute_0_5464,plain,
composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5460,refute_0_5463]) ).
cnf(refute_0_5465,plain,
converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5466,plain,
( composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5467,plain,
( composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,meet(one,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5465,refute_0_5466]) ).
cnf(refute_0_5468,plain,
converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))),composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5464,refute_0_5467]) ).
cnf(refute_0_5469,plain,
complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5470,plain,
( complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5471,plain,
( converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5469,refute_0_5470]) ).
cnf(refute_0_5472,plain,
complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5468,refute_0_5471]) ).
cnf(refute_0_5473,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5474,plain,
( complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5475,plain,
( complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5473,refute_0_5474]) ).
cnf(refute_0_5476,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5472,refute_0_5475]) ).
cnf(refute_0_5477,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),
introduced(tautology,[refl,[$fot(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top))]]) ).
cnf(refute_0_5478,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) != composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top)
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top)) ),[1,0],$fot(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5479,plain,
( join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top)) )],[refute_0_5477,refute_0_5478]) ).
cnf(refute_0_5480,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5476,refute_0_5479]) ).
cnf(refute_0_5481,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) != composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),converse(composition(top,skolemFOFtoCNF_X0))) ),[0],$fot(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top))]]) ).
cnf(refute_0_5482,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)) )],[refute_0_5480,refute_0_5481]) ).
cnf(refute_0_5483,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5456,refute_0_5482]) ).
cnf(refute_0_5484,plain,
composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),top) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_397,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5485,plain,
composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(skolemFOFtoCNF_X0)),bind(X_145,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5486,plain,
( composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5487,plain,
( composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_2078,refute_0_5486]) ).
cnf(refute_0_5488,plain,
composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5485,refute_0_5487]) ).
cnf(refute_0_5489,plain,
composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5490,plain,
( composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5491,plain,
( composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5489,refute_0_5490]) ).
cnf(refute_0_5492,plain,
complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5488,refute_0_5491]) ).
cnf(refute_0_5493,plain,
( complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5494,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5492,refute_0_5493]) ).
cnf(refute_0_5495,plain,
( composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),top),composition(skolemFOFtoCNF_X0,top)) ),[0,0,1],$fot(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5496,plain,
( composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5494,refute_0_5495]) ).
cnf(refute_0_5497,plain,
composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5484,refute_0_5496]) ).
cnf(refute_0_5498,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5499,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5500,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5498,refute_0_5499]) ).
cnf(refute_0_5501,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_5500]) ).
cnf(refute_0_5502,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),
introduced(tautology,[refl,[$fot(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top))]]) ).
cnf(refute_0_5503,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)
| join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5504,plain,
( join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)) )],[refute_0_5502,refute_0_5503]) ).
cnf(refute_0_5505,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5501,refute_0_5504]) ).
cnf(refute_0_5506,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)
| composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5507,plain,
( composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top)) )],[refute_0_5505,refute_0_5506]) ).
cnf(refute_0_5508,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5497,refute_0_5507]) ).
cnf(refute_0_5509,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),converse(composition(top,skolemFOFtoCNF_X0))) ),[0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_5510,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,top) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5508,refute_0_5509]) ).
cnf(refute_0_5511,plain,
composition(skolemFOFtoCNF_X0,top) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5483,refute_0_5510]) ).
cnf(refute_0_5512,plain,
( composition(skolemFOFtoCNF_X0,top) != converse(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Y,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5513,plain,
converse(composition(top,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_5511,refute_0_5512]) ).
cnf(refute_0_5514,plain,
complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5515,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_5516,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_5514,refute_0_5515]) ).
cnf(refute_0_5517,plain,
complement(converse(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5513,refute_0_5516]) ).
cnf(refute_0_5518,plain,
composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5519,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5520,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5518,refute_0_5519]) ).
cnf(refute_0_5521,plain,
composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5517,refute_0_5520]) ).
cnf(refute_0_5522,plain,
( composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1],$fot(composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5523,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5521,refute_0_5522]) ).
cnf(refute_0_5524,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),composition(converse(X1),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_2341,refute_0_5523]) ).
cnf(refute_0_5525,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)))),bind(Y,$fot(composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5526,plain,
composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),X1)),composition(converse(X1),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5524,refute_0_5525]) ).
cnf(refute_0_5527,plain,
composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))),
inference(subst,[],[refute_0_5526:[bind(X1,$fot(meet(skolemFOFtoCNF_X0,X_695)))]]) ).
cnf(refute_0_5528,plain,
composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5529,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5530,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5528,refute_0_5529]) ).
cnf(refute_0_5531,plain,
composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5517,refute_0_5530]) ).
cnf(refute_0_5532,plain,
( composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695)))
| composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695)))))]]) ).
cnf(refute_0_5533,plain,
( composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695)))
| composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5531,refute_0_5532]) ).
cnf(refute_0_5534,plain,
composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))),
inference(resolve,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(composition(skolemFOFtoCNF_X0,top))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695)))) )],[refute_0_5527,refute_0_5533]) ).
cnf(refute_0_5535,plain,
( composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695)))
| zero != composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| zero = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[1],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))))]]) ).
cnf(refute_0_5536,plain,
( zero != composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| zero = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695)))) )],[refute_0_5534,refute_0_5535]) ).
cnf(refute_0_5537,plain,
zero = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_695))),
inference(resolve,[$cnf( $equal(zero,composition(converse(meet(skolemFOFtoCNF_X0,X_695)),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_5438,refute_0_5536]) ).
cnf(refute_0_5538,plain,
zero = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),
inference(subst,[],[refute_0_5537:[bind(X_695,$fot(X_696))]]) ).
cnf(refute_0_5539,plain,
( zero != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))))]]) ).
cnf(refute_0_5540,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))) = zero,
inference(resolve,[$cnf( $equal(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) )],[refute_0_5538,refute_0_5539]) ).
cnf(refute_0_5541,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))) != zero
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(converse(X0),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),X_21))
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),join(zero,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(X0),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),X_21))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_5542,plain,
( join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(converse(X0),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),X_21))
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),join(zero,X_21)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),zero) )],[refute_0_5540,refute_0_5541]) ).
cnf(refute_0_5543,plain,
join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),join(zero,X_21)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(X0),join(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),X_21))) )],[refute_0_5383,refute_0_5542]) ).
cnf(refute_0_5544,plain,
join(zero,join(X_21,converse(X0))) = join(X_21,converse(X0)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(join(X_21,converse(X0))))]]) ).
cnf(refute_0_5545,plain,
join(converse(X0),join(zero,X_21)) = join(zero,join(X_21,converse(X0))),
inference(subst,[],[refute_0_4699:[bind(X0,$fot(zero)),bind(X1,$fot(X_21)),bind(X_517,$fot(converse(X0)))]]) ).
cnf(refute_0_5546,plain,
( join(converse(X0),join(zero,X_21)) != join(zero,join(X_21,converse(X0)))
| join(zero,join(X_21,converse(X0))) != join(X_21,converse(X0))
| join(converse(X0),join(zero,X_21)) = join(X_21,converse(X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X0),join(zero,X_21)))),bind(Y,$fot(join(zero,join(X_21,converse(X0))))),bind(Z,$fot(join(X_21,converse(X0))))]]) ).
cnf(refute_0_5547,plain,
( join(zero,join(X_21,converse(X0))) != join(X_21,converse(X0))
| join(converse(X0),join(zero,X_21)) = join(X_21,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(zero,X_21)),join(zero,join(X_21,converse(X0)))) )],[refute_0_5545,refute_0_5546]) ).
cnf(refute_0_5548,plain,
join(converse(X0),join(zero,X_21)) = join(X_21,converse(X0)),
inference(resolve,[$cnf( $equal(join(zero,join(X_21,converse(X0))),join(X_21,converse(X0))) )],[refute_0_5544,refute_0_5547]) ).
cnf(refute_0_5549,plain,
( join(converse(X0),join(zero,X_21)) != join(X_21,converse(X0))
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(converse(X0),join(zero,X_21))
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(X_21,converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(X0),join(zero,X_21))) ),[1],$fot(join(X_21,converse(X0)))]]) ).
cnf(refute_0_5550,plain,
( join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(converse(X0),join(zero,X_21))
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(X_21,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(zero,X_21)),join(X_21,converse(X0))) )],[refute_0_5548,refute_0_5549]) ).
cnf(refute_0_5551,plain,
join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(X_21,converse(X0)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(X0),join(zero,X_21))) )],[refute_0_5543,refute_0_5550]) ).
cnf(refute_0_5552,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))))]]) ).
cnf(refute_0_5553,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))) != zero
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = join(converse(X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5554,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = join(converse(X0),zero) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))),zero) )],[refute_0_5540,refute_0_5553]) ).
cnf(refute_0_5555,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = join(converse(X0),zero),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696))))) )],[refute_0_5552,refute_0_5554]) ).
cnf(refute_0_5556,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) != join(converse(X0),zero)
| join(converse(X0),zero) != converse(X0)
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = converse(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),converse(X0)) ),[0],$fot(join(converse(X0),zero))]]) ).
cnf(refute_0_5557,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) != join(converse(X0),zero)
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = converse(X0) ),
inference(resolve,[$cnf( $equal(join(converse(X0),zero),converse(X0)) )],[refute_0_1119,refute_0_5556]) ).
cnf(refute_0_5558,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) = converse(X0),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),join(converse(X0),zero)) )],[refute_0_5555,refute_0_5557]) ).
cnf(refute_0_5559,plain,
join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),
introduced(tautology,[refl,[$fot(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21))]]) ).
cnf(refute_0_5560,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) != converse(X0)
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21)
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21)) ),[1,0],$fot(converse(X0))]]) ).
cnf(refute_0_5561,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))) != converse(X0)
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),X_21) ),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21)) )],[refute_0_5559,refute_0_5560]) ).
cnf(refute_0_5562,plain,
join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) = join(converse(X0),X_21),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),converse(X0)) )],[refute_0_5558,refute_0_5561]) ).
cnf(refute_0_5563,plain,
( join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(X_21,converse(X0))
| join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(converse(X0),X_21)
| join(converse(X0),X_21) = join(X_21,converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(X_21,converse(X0))) ),[0],$fot(join(converse(X0),X_21))]]) ).
cnf(refute_0_5564,plain,
( join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21) != join(X_21,converse(X0))
| join(converse(X0),X_21) = join(X_21,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(converse(X0),X_21)) )],[refute_0_5562,refute_0_5563]) ).
cnf(refute_0_5565,plain,
join(converse(X0),X_21) = join(X_21,converse(X0)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_696)))),X_21),join(X_21,converse(X0))) )],[refute_0_5551,refute_0_5564]) ).
cnf(refute_0_5566,plain,
join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5565:[bind(X0,$fot(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_21,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_5567,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)))]]) ).
cnf(refute_0_5568,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5566,refute_0_5567]) ).
cnf(refute_0_5569,plain,
join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) )],[refute_0_5382,refute_0_5568]) ).
cnf(refute_0_5570,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)))]]) ).
cnf(refute_0_5571,plain,
( complement(zero) != top
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5572,plain,
( complement(zero) != top
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero))) )],[refute_0_5570,refute_0_5571]) ).
cnf(refute_0_5573,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_5572]) ).
cnf(refute_0_5574,plain,
converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5575,plain,
composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))]]) ).
cnf(refute_0_5576,plain,
( composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))
| converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5577,plain,
( converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) )],[refute_0_5575,refute_0_5576]) ).
cnf(refute_0_5578,plain,
composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5574,refute_0_5577]) ).
cnf(refute_0_5579,plain,
( composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)))),bind(Z,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_5580,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero))) )],[refute_0_5578,refute_0_5579]) ).
cnf(refute_0_5581,plain,
composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(zero)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5573,refute_0_5580]) ).
cnf(refute_0_5582,plain,
join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))))]]) ).
cnf(refute_0_5583,plain,
( composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))) ),[1,1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_5584,plain,
( composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))) )],[refute_0_5582,refute_0_5583]) ).
cnf(refute_0_5585,plain,
join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5581,refute_0_5584]) ).
cnf(refute_0_5586,plain,
complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5587,plain,
join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))))]]) ).
cnf(refute_0_5588,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))) ),[1,0],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5589,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))) )],[refute_0_5587,refute_0_5588]) ).
cnf(refute_0_5590,plain,
join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5586,refute_0_5589]) ).
cnf(refute_0_5591,plain,
( join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))))),bind(Y,$fot(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))))),bind(Z,$fot(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_5592,plain,
( join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero)))) )],[refute_0_5590,refute_0_5591]) ).
cnf(refute_0_5593,plain,
join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_5585,refute_0_5592]) ).
cnf(refute_0_5594,plain,
( join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))))),bind(Y,$fot(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)))]]) ).
cnf(refute_0_5595,plain,
( join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_5593,refute_0_5594]) ).
cnf(refute_0_5596,plain,
join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) = composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(join(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) )],[refute_0_5569,refute_0_5595]) ).
cnf(refute_0_5597,plain,
( join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))]]) ).
cnf(refute_0_5598,plain,
( join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) )],[refute_0_5596,refute_0_5597]) ).
cnf(refute_0_5599,plain,
( complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5600,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5586,refute_0_5599]) ).
cnf(refute_0_5601,plain,
( join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5598,refute_0_5600]) ).
cnf(refute_0_5602,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),composition(converse(converse(meet(one,complement(skolemFOFtoCNF_X0)))),complement(zero))),complement(complement(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5375,refute_0_5601]) ).
cnf(refute_0_5603,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top))),bind(Z,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5604,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top)) )],[refute_0_5382,refute_0_5603]) ).
cnf(refute_0_5605,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5602,refute_0_5604]) ).
cnf(refute_0_5606,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5607,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))]]) ).
cnf(refute_0_5608,plain,
( complement(zero) != top
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$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_5609,plain,
( complement(zero) != top
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_5607,refute_0_5608]) ).
cnf(refute_0_5610,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_5609]) ).
cnf(refute_0_5611,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top)
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_5612,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( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_5610,refute_0_5611]) ).
cnf(refute_0_5613,plain,
composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5606,refute_0_5612]) ).
cnf(refute_0_5614,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),
introduced(tautology,[refl,[$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).
cnf(refute_0_5615,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,1],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5616,plain,
( composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_5614,refute_0_5615]) ).
cnf(refute_0_5617,plain,
join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5613,refute_0_5616]) ).
cnf(refute_0_5618,plain,
complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_5619,plain,
join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))]]) ).
cnf(refute_0_5620,plain,
( complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) ),[1,0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_5621,plain,
( complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_5619,refute_0_5620]) ).
cnf(refute_0_5622,plain,
join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5618,refute_0_5621]) ).
cnf(refute_0_5623,plain,
( join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Y,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Z,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5624,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero)))) )],[refute_0_5622,refute_0_5623]) ).
cnf(refute_0_5625,plain,
join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5617,refute_0_5624]) ).
cnf(refute_0_5626,plain,
( join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))))),bind(Y,$fot(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5627,plain,
( join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5625,refute_0_5626]) ).
cnf(refute_0_5628,plain,
join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) = converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5605,refute_0_5627]) ).
cnf(refute_0_5629,plain,
( join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[0],$fot(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5630,plain,
( join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5628,refute_0_5629]) ).
cnf(refute_0_5631,plain,
( complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_5632,plain,
( converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5618,refute_0_5631]) ).
cnf(refute_0_5633,plain,
( join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))) != complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_5630,refute_0_5632]) ).
cnf(refute_0_5634,plain,
converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(converse(meet(one,complement(skolemFOFtoCNF_X0))),complement(zero))),complement(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_5268,refute_0_5633]) ).
cnf(refute_0_5635,plain,
meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5636,plain,
( converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_5637,plain,
( converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5635,refute_0_5636]) ).
cnf(refute_0_5638,plain,
meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5634,refute_0_5637]) ).
cnf(refute_0_5639,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5640,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_5641,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5639,refute_0_5640]) ).
cnf(refute_0_5642,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_5638,refute_0_5641]) ).
cnf(refute_0_5643,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_5644,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_5642,refute_0_5643]) ).
cnf(refute_0_5645,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(composition(top,meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5184,refute_0_5644]) ).
cnf(refute_0_5646,plain,
composition(skolemFOFtoCNF_X0,join(one,top)) = composition(skolemFOFtoCNF_X0,join(one,top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,top)))]]) ).
cnf(refute_0_5647,plain,
( composition(skolemFOFtoCNF_X0,join(one,top)) != composition(skolemFOFtoCNF_X0,join(one,top))
| join(one,top) != top
| composition(skolemFOFtoCNF_X0,join(one,top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,top)),composition(skolemFOFtoCNF_X0,join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5648,plain,
( join(one,top) != top
| composition(skolemFOFtoCNF_X0,join(one,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,top)),composition(skolemFOFtoCNF_X0,join(one,top))) )],[refute_0_5646,refute_0_5647]) ).
cnf(refute_0_5649,plain,
composition(skolemFOFtoCNF_X0,join(one,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_5648]) ).
cnf(refute_0_5650,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,join(one,top)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(skolemFOFtoCNF_X0)),bind(X_426,$fot(top))]]) ).
cnf(refute_0_5651,plain,
( composition(skolemFOFtoCNF_X0,join(one,top)) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,join(one,top))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5652,plain,
( composition(skolemFOFtoCNF_X0,join(one,top)) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,join(one,top))) )],[refute_0_5650,refute_0_5651]) ).
cnf(refute_0_5653,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5649,refute_0_5652]) ).
cnf(refute_0_5654,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5655,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_5656,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5654,refute_0_5655]) ).
cnf(refute_0_5657,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5653,refute_0_5656]) ).
cnf(refute_0_5658,plain,
meet(complement(X_679),complement(X1)) = complement(join(X_679,complement(complement(X1)))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(complement(X1))),bind(X_31,$fot(X_679))]]) ).
cnf(refute_0_5659,plain,
( complement(complement(X1)) != X1
| meet(complement(X_679),complement(X1)) != complement(join(X_679,complement(complement(X1))))
| meet(complement(X_679),complement(X1)) = complement(join(X_679,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_679),complement(X1)),complement(join(X_679,complement(complement(X1))))) ),[1,0,1],$fot(X1)]]) ).
cnf(refute_0_5660,plain,
( meet(complement(X_679),complement(X1)) != complement(join(X_679,complement(complement(X1))))
| meet(complement(X_679),complement(X1)) = complement(join(X_679,X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_5659]) ).
cnf(refute_0_5661,plain,
meet(complement(X_679),complement(X1)) = complement(join(X_679,X1)),
inference(resolve,[$cnf( $equal(meet(complement(X_679),complement(X1)),complement(join(X_679,complement(complement(X1))))) )],[refute_0_5658,refute_0_5660]) ).
cnf(refute_0_5662,plain,
meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_5661:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_679,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5663,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5664,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5662,refute_0_5663]) ).
cnf(refute_0_5665,plain,
meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5657,refute_0_5664]) ).
cnf(refute_0_5666,plain,
composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_397,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5667,plain,
composition(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1972:[bind(X_144,$fot(converse(skolemFOFtoCNF_X0))),bind(X_145,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5668,plain,
complement(complement(one)) = join(complement(join(complement(one),converse(X_4))),meet(complement(complement(one)),converse(X_4))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(complement(one))),bind(X_96,$fot(converse(X_4)))]]) ).
cnf(refute_0_5669,plain,
( converse(join(X_4,complement(one))) != join(complement(one),converse(X_4))
| join(complement(one),converse(X_4)) = converse(join(X_4,complement(one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_4,complement(one))))),bind(Y,$fot(join(complement(one),converse(X_4))))]]) ).
cnf(refute_0_5670,plain,
join(complement(one),converse(X_4)) = converse(join(X_4,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(X_4,complement(one))),join(complement(one),converse(X_4))) )],[refute_0_1541,refute_0_5669]) ).
cnf(refute_0_5671,plain,
( complement(complement(one)) != join(complement(join(complement(one),converse(X_4))),meet(complement(complement(one)),converse(X_4)))
| join(complement(one),converse(X_4)) != converse(join(X_4,complement(one)))
| complement(complement(one)) = join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),converse(X_4))),meet(complement(complement(one)),converse(X_4)))) ),[1,0,0],$fot(converse(join(X_4,complement(one))))]]) ).
cnf(refute_0_5672,plain,
( complement(complement(one)) != join(complement(join(complement(one),converse(X_4))),meet(complement(complement(one)),converse(X_4)))
| complement(complement(one)) = join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(X_4)),converse(join(X_4,complement(one)))) )],[refute_0_5670,refute_0_5671]) ).
cnf(refute_0_5673,plain,
complement(complement(one)) = join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),converse(X_4))),meet(complement(complement(one)),converse(X_4)))) )],[refute_0_5668,refute_0_5672]) ).
cnf(refute_0_5674,plain,
( complement(complement(one)) != join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))
| complement(complement(one)) != one
| one = join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))) ),[0],$fot(one)]]) ).
cnf(refute_0_5675,plain,
( complement(complement(one)) != join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))
| one = join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_5674]) ).
cnf(refute_0_5676,plain,
join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))) = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(converse(join(X_4,complement(one)))))),bind(X_20,$fot(meet(one,converse(X_4))))]]) ).
cnf(refute_0_5677,plain,
meet(complement(complement(one)),converse(X_4)) = meet(complement(complement(one)),converse(X_4)),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(X_4)))]]) ).
cnf(refute_0_5678,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(X_4)) != meet(complement(complement(one)),converse(X_4))
| meet(complement(complement(one)),converse(X_4)) = meet(one,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(X_4)),meet(complement(complement(one)),converse(X_4))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5679,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(X_4)) = meet(one,converse(X_4)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(X_4)),meet(complement(complement(one)),converse(X_4))) )],[refute_0_5677,refute_0_5678]) ).
cnf(refute_0_5680,plain,
meet(complement(complement(one)),converse(X_4)) = meet(one,converse(X_4)),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_5679]) ).
cnf(refute_0_5681,plain,
join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))),
introduced(tautology,[refl,[$fot(join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))))]]) ).
cnf(refute_0_5682,plain,
( join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) != join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))
| meet(complement(complement(one)),converse(X_4)) != meet(one,converse(X_4))
| join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))),join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))) ),[1,1],$fot(meet(one,converse(X_4)))]]) ).
cnf(refute_0_5683,plain,
( meet(complement(complement(one)),converse(X_4)) != meet(one,converse(X_4))
| join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))),join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))) )],[refute_0_5681,refute_0_5682]) ).
cnf(refute_0_5684,plain,
join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(X_4)),meet(one,converse(X_4))) )],[refute_0_5680,refute_0_5683]) ).
cnf(refute_0_5685,plain,
( join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) != join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4)))
| join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))) != join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one)))))
| join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))))),bind(Y,$fot(join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))))),bind(Z,$fot(join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one)))))))]]) ).
cnf(refute_0_5686,plain,
( join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))) != join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one)))))
| join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))),join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4)))) )],[refute_0_5684,refute_0_5685]) ).
cnf(refute_0_5687,plain,
join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_4,complement(one)))),meet(one,converse(X_4))),join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one)))))) )],[refute_0_5676,refute_0_5686]) ).
cnf(refute_0_5688,plain,
( join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))) != join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one)))))
| one != join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))
| one = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))) ),[1],$fot(join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))))]]) ).
cnf(refute_0_5689,plain,
( one != join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))
| one = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4))),join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one)))))) )],[refute_0_5687,refute_0_5688]) ).
cnf(refute_0_5690,plain,
( complement(complement(one)) != join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))
| one = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))) )],[refute_0_5675,refute_0_5689]) ).
cnf(refute_0_5691,plain,
one = join(meet(one,converse(X_4)),complement(converse(join(X_4,complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(join(X_4,complement(one)))),meet(complement(complement(one)),converse(X_4)))) )],[refute_0_5673,refute_0_5690]) ).
cnf(refute_0_5692,plain,
one = join(meet(one,converse(skolemFOFtoCNF_X0)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_5691:[bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5693,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| one != join(meet(one,converse(skolemFOFtoCNF_X0)),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| one = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5694,plain,
( one != join(meet(one,converse(skolemFOFtoCNF_X0)),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| one = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_3266,refute_0_5693]) ).
cnf(refute_0_5695,plain,
one = join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5692,refute_0_5694]) ).
cnf(refute_0_5696,plain,
( one != join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5697,plain,
join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5695,refute_0_5696]) ).
cnf(refute_0_5698,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != one
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5699,plain,
( composition(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),one) )],[refute_0_5697,refute_0_5698]) ).
cnf(refute_0_5700,plain,
composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5667,refute_0_5699]) ).
cnf(refute_0_5701,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,converse(top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,converse(top)))]]) ).
cnf(refute_0_5702,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_5703,plain,
( converse(top) != top
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_5701,refute_0_5702]) ).
cnf(refute_0_5704,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_5703]) ).
cnf(refute_0_5705,plain,
converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(top)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_11,$fot(top))]]) ).
cnf(refute_0_5706,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(top,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(top))
| converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$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_5707,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_5705,refute_0_5706]) ).
cnf(refute_0_5708,plain,
converse(composition(top,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5704,refute_0_5707]) ).
cnf(refute_0_5709,plain,
complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) = complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5710,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))
| converse(composition(top,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_5711,plain,
( converse(composition(top,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) )],[refute_0_5709,refute_0_5710]) ).
cnf(refute_0_5712,plain,
complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5708,refute_0_5711]) ).
cnf(refute_0_5713,plain,
composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5714,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5715,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) )],[refute_0_5713,refute_0_5714]) ).
cnf(refute_0_5716,plain,
composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5712,refute_0_5715]) ).
cnf(refute_0_5717,plain,
( composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5718,plain,
( composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5716,refute_0_5717]) ).
cnf(refute_0_5719,plain,
composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5720,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5721,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5719,refute_0_5720]) ).
cnf(refute_0_5722,plain,
composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5712,refute_0_5721]) ).
cnf(refute_0_5723,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5724,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5722,refute_0_5723]) ).
cnf(refute_0_5725,plain,
( composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5718,refute_0_5724]) ).
cnf(refute_0_5726,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5700,refute_0_5725]) ).
cnf(refute_0_5727,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5728,plain,
composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5726,refute_0_5727]) ).
cnf(refute_0_5729,plain,
( composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) ),[0,0,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5730,plain,
( composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5728,refute_0_5729]) ).
cnf(refute_0_5731,plain,
composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top)))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_5666,refute_0_5730]) ).
cnf(refute_0_5732,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X1,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5733,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top),
introduced(tautology,[refl,[$fot(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top))]]) ).
cnf(refute_0_5734,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) ),[1,0],$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5735,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) )],[refute_0_5733,refute_0_5734]) ).
cnf(refute_0_5736,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5732,refute_0_5735]) ).
cnf(refute_0_5737,plain,
composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top),
inference(subst,[],[refute_0_3310:[bind(X_144,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X_145,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_146,$fot(top))]]) ).
cnf(refute_0_5738,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top)
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top))),bind(Y,$fot(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top))),bind(Z,$fot(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)))]]) ).
cnf(refute_0_5739,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) )],[refute_0_5737,refute_0_5738]) ).
cnf(refute_0_5740,plain,
composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) )],[refute_0_5736,refute_0_5739]) ).
cnf(refute_0_5741,plain,
( composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) ),[0],$fot(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top))]]) ).
cnf(refute_0_5742,plain,
( composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) )],[refute_0_5740,refute_0_5741]) ).
cnf(refute_0_5743,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_5731,refute_0_5742]) ).
cnf(refute_0_5744,plain,
meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5745,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5746,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5744,refute_0_5745]) ).
cnf(refute_0_5747,plain,
meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5120,refute_0_5746]) ).
cnf(refute_0_5748,plain,
complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5749,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5750,plain,
( meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5748,refute_0_5749]) ).
cnf(refute_0_5751,plain,
complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5747,refute_0_5750]) ).
cnf(refute_0_5752,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),
introduced(tautology,[refl,[$fot(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top))]]) ).
cnf(refute_0_5753,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) ),[1,0],$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5754,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top)) )],[refute_0_5752,refute_0_5753]) ).
cnf(refute_0_5755,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5751,refute_0_5754]) ).
cnf(refute_0_5756,plain,
( composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) ),[0],$fot(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top))]]) ).
cnf(refute_0_5757,plain,
( composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_5755,refute_0_5756]) ).
cnf(refute_0_5758,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5759,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5760,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_5758,refute_0_5759]) ).
cnf(refute_0_5761,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5120,refute_0_5760]) ).
cnf(refute_0_5762,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(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_5763,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5761,refute_0_5762]) ).
cnf(refute_0_5764,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5763]) ).
cnf(refute_0_5765,plain,
composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top))]]) ).
cnf(refute_0_5766,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5767,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_5765,refute_0_5766]) ).
cnf(refute_0_5768,plain,
composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5764,refute_0_5767]) ).
cnf(refute_0_5769,plain,
( composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) ),[1],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_5770,plain,
( composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5768,refute_0_5769]) ).
cnf(refute_0_5771,plain,
( composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top) != composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_5757,refute_0_5770]) ).
cnf(refute_0_5772,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),converse(join(skolemFOFtoCNF_X0,complement(one))))),top),composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_5743,refute_0_5771]) ).
cnf(refute_0_5773,plain,
converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5774,plain,
composition(top,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5775,plain,
join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X1,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5776,plain,
zero = composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))))))),
inference(subst,[],[refute_0_1791:[bind(X_256,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_292,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5777,plain,
join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))))))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5778,plain,
( composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))))))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))))))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[0,1,1,0,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5779,plain,
( join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))))))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5728,refute_0_5778]) ).
cnf(refute_0_5780,plain,
join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))))))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5777,refute_0_5779]) ).
cnf(refute_0_5781,plain,
complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5782,plain,
converse(complement(composition(skolemFOFtoCNF_X0,top))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5783,plain,
complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5784,plain,
( complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5785,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5783,refute_0_5784]) ).
cnf(refute_0_5786,plain,
complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5782,refute_0_5785]) ).
cnf(refute_0_5787,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != complement(complement(converse(composition(skolemFOFtoCNF_X0,top))))
| complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5788,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5786,refute_0_5787]) ).
cnf(refute_0_5789,plain,
complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5781,refute_0_5788]) ).
cnf(refute_0_5790,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_5791,plain,
( complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5792,plain,
( complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_5790,refute_0_5791]) ).
cnf(refute_0_5793,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5789,refute_0_5792]) ).
cnf(refute_0_5794,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),
introduced(tautology,[refl,[$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_5795,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))) ),[1,1],$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5796,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_5794,refute_0_5795]) ).
cnf(refute_0_5797,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5793,refute_0_5796]) ).
cnf(refute_0_5798,plain,
converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_5799,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_5800,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_5801,plain,
( converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5799,refute_0_5800]) ).
cnf(refute_0_5802,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5798,refute_0_5801]) ).
cnf(refute_0_5803,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(converse(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_5804,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_5802,refute_0_5803]) ).
cnf(refute_0_5805,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5128,refute_0_5804]) ).
cnf(refute_0_5806,plain,
converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_5807,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5808,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_5806,refute_0_5807]) ).
cnf(refute_0_5809,plain,
converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5805,refute_0_5808]) ).
cnf(refute_0_5810,plain,
complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_5811,plain,
( complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5812,plain,
( converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5810,refute_0_5811]) ).
cnf(refute_0_5813,plain,
complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5809,refute_0_5812]) ).
cnf(refute_0_5814,plain,
join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_5815,plain,
( complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))) ),[1,0],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5816,plain,
( complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_5814,refute_0_5815]) ).
cnf(refute_0_5817,plain,
join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5813,refute_0_5816]) ).
cnf(refute_0_5818,plain,
( join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))))),bind(Y,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))))),bind(Z,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_5819,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_5817,refute_0_5818]) ).
cnf(refute_0_5820,plain,
join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5797,refute_0_5819]) ).
cnf(refute_0_5821,plain,
( join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[0],$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5822,plain,
( join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5820,refute_0_5821]) ).
cnf(refute_0_5823,plain,
( complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5824,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5813,refute_0_5823]) ).
cnf(refute_0_5825,plain,
( join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))) != complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5822,refute_0_5824]) ).
cnf(refute_0_5826,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) = complement(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))))),complement(converse(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_5780,refute_0_5825]) ).
cnf(refute_0_5827,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))) != complement(meet(one,complement(skolemFOFtoCNF_X0)))
| zero != composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))))))
| zero = composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))))))) ),[1,1,0,0,1],$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5828,plain,
( zero != composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))))))
| zero = composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top)))),complement(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5826,refute_0_5827]) ).
cnf(refute_0_5829,plain,
zero = composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(zero,composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))))))))) )],[refute_0_5776,refute_0_5828]) ).
cnf(refute_0_5830,plain,
composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,top)))),bind(X2,$fot(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5831,plain,
( composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| zero != composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5832,plain,
( zero != composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5830,refute_0_5831]) ).
cnf(refute_0_5833,plain,
zero = composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(zero,composition(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5829,refute_0_5832]) ).
cnf(refute_0_5834,plain,
( zero != composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5835,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5833,refute_0_5834]) ).
cnf(refute_0_5836,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != zero
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_5837,plain,
( join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_5835,refute_0_5836]) ).
cnf(refute_0_5838,plain,
join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5775,refute_0_5837]) ).
cnf(refute_0_5839,plain,
join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(converse(composition(skolemFOFtoCNF_X0,top)))),bind(X_426,$fot(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5840,plain,
join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(composition(complement(composition(top,X_283)),converse(composition(top,X_283)))))) = complement(converse(composition(top,X_283))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(composition(top,X_283)))),bind(X1,$fot(converse(composition(top,X_283))))]]) ).
cnf(refute_0_5841,plain,
composition(complement(composition(top,X_177)),complement(converse(composition(top,complement(composition(top,X_177)))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(complement(composition(top,X_177))))]]) ).
cnf(refute_0_5842,plain,
( composition(complement(composition(top,X_177)),complement(converse(composition(top,complement(composition(top,X_177)))))) != zero
| composition(top,complement(composition(top,X_177))) != complement(composition(top,X_177))
| composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(composition(top,complement(composition(top,X_177)))))),zero) ),[0,1,0,0],$fot(complement(composition(top,X_177)))]]) ).
cnf(refute_0_5843,plain,
( composition(complement(composition(top,X_177)),complement(converse(composition(top,complement(composition(top,X_177)))))) != zero
| composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_177))),complement(composition(top,X_177))) )],[refute_0_2586,refute_0_5842]) ).
cnf(refute_0_5844,plain,
composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(composition(top,complement(composition(top,X_177)))))),zero) )],[refute_0_5841,refute_0_5843]) ).
cnf(refute_0_5845,plain,
complement(complement(converse(composition(top,X_177)))) = converse(composition(top,X_177)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,X_177))))]]) ).
cnf(refute_0_5846,plain,
converse(complement(composition(top,X_177))) = complement(converse(composition(top,X_177))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,X_177)))]]) ).
cnf(refute_0_5847,plain,
complement(converse(complement(composition(top,X_177)))) = complement(converse(complement(composition(top,X_177)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,X_177)))))]]) ).
cnf(refute_0_5848,plain,
( complement(converse(complement(composition(top,X_177)))) != complement(converse(complement(composition(top,X_177))))
| converse(complement(composition(top,X_177))) != complement(converse(composition(top,X_177)))
| complement(converse(complement(composition(top,X_177)))) = complement(complement(converse(composition(top,X_177)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,X_177)))),complement(converse(complement(composition(top,X_177))))) ),[1,0],$fot(complement(converse(composition(top,X_177))))]]) ).
cnf(refute_0_5849,plain,
( converse(complement(composition(top,X_177))) != complement(converse(composition(top,X_177)))
| complement(converse(complement(composition(top,X_177)))) = complement(complement(converse(composition(top,X_177)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_177)))),complement(converse(complement(composition(top,X_177))))) )],[refute_0_5847,refute_0_5848]) ).
cnf(refute_0_5850,plain,
complement(converse(complement(composition(top,X_177)))) = complement(complement(converse(composition(top,X_177)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,X_177))),complement(converse(composition(top,X_177)))) )],[refute_0_5846,refute_0_5849]) ).
cnf(refute_0_5851,plain,
( complement(complement(converse(composition(top,X_177)))) != converse(composition(top,X_177))
| complement(converse(complement(composition(top,X_177)))) != complement(complement(converse(composition(top,X_177))))
| complement(converse(complement(composition(top,X_177)))) = converse(composition(top,X_177)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(composition(top,X_177)))))),bind(Y,$fot(complement(complement(converse(composition(top,X_177)))))),bind(Z,$fot(converse(composition(top,X_177))))]]) ).
cnf(refute_0_5852,plain,
( complement(complement(converse(composition(top,X_177)))) != converse(composition(top,X_177))
| complement(converse(complement(composition(top,X_177)))) = converse(composition(top,X_177)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_177)))),complement(complement(converse(composition(top,X_177))))) )],[refute_0_5850,refute_0_5851]) ).
cnf(refute_0_5853,plain,
complement(converse(complement(composition(top,X_177)))) = converse(composition(top,X_177)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,X_177)))),converse(composition(top,X_177))) )],[refute_0_5845,refute_0_5852]) ).
cnf(refute_0_5854,plain,
composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))))]]) ).
cnf(refute_0_5855,plain,
( complement(converse(complement(composition(top,X_177)))) != converse(composition(top,X_177))
| composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) != composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177)))))
| composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = composition(complement(composition(top,X_177)),converse(composition(top,X_177))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))),composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177)))))) ),[1,1],$fot(converse(composition(top,X_177)))]]) ).
cnf(refute_0_5856,plain,
( complement(converse(complement(composition(top,X_177)))) != converse(composition(top,X_177))
| composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = composition(complement(composition(top,X_177)),converse(composition(top,X_177))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))),composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177)))))) )],[refute_0_5854,refute_0_5855]) ).
cnf(refute_0_5857,plain,
composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) = composition(complement(composition(top,X_177)),converse(composition(top,X_177))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,X_177)))),converse(composition(top,X_177))) )],[refute_0_5853,refute_0_5856]) ).
cnf(refute_0_5858,plain,
( composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) != composition(complement(composition(top,X_177)),converse(composition(top,X_177)))
| composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) != zero
| composition(complement(composition(top,X_177)),converse(composition(top,X_177))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))),zero) ),[0],$fot(composition(complement(composition(top,X_177)),converse(composition(top,X_177))))]]) ).
cnf(refute_0_5859,plain,
( composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))) != zero
| composition(complement(composition(top,X_177)),converse(composition(top,X_177))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))),composition(complement(composition(top,X_177)),converse(composition(top,X_177)))) )],[refute_0_5857,refute_0_5858]) ).
cnf(refute_0_5860,plain,
composition(complement(composition(top,X_177)),converse(composition(top,X_177))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_177)),complement(converse(complement(composition(top,X_177))))),zero) )],[refute_0_5844,refute_0_5859]) ).
cnf(refute_0_5861,plain,
composition(complement(composition(top,X_283)),converse(composition(top,X_283))) = zero,
inference(subst,[],[refute_0_5860:[bind(X_177,$fot(X_283))]]) ).
cnf(refute_0_5862,plain,
( composition(complement(composition(top,X_283)),converse(composition(top,X_283))) != zero
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(composition(complement(composition(top,X_283)),converse(composition(top,X_283)))))) != complement(converse(composition(top,X_283)))
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = complement(converse(composition(top,X_283))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(composition(complement(composition(top,X_283)),converse(composition(top,X_283)))))),complement(converse(composition(top,X_283)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_5863,plain,
( join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(composition(complement(composition(top,X_283)),converse(composition(top,X_283)))))) != complement(converse(composition(top,X_283)))
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = complement(converse(composition(top,X_283))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_283)),converse(composition(top,X_283))),zero) )],[refute_0_5861,refute_0_5862]) ).
cnf(refute_0_5864,plain,
join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = complement(converse(composition(top,X_283))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(composition(complement(composition(top,X_283)),converse(composition(top,X_283)))))),complement(converse(composition(top,X_283)))) )],[refute_0_5840,refute_0_5863]) ).
cnf(refute_0_5865,plain,
composition(complement(converse(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,X_283))),complement(zero)))]]) ).
cnf(refute_0_5866,plain,
( complement(zero) != top
| composition(complement(converse(composition(top,X_283))),complement(zero)) != composition(complement(converse(composition(top,X_283))),complement(zero))
| composition(complement(converse(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,X_283))),complement(zero)),composition(complement(converse(composition(top,X_283))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5867,plain,
( complement(zero) != top
| composition(complement(converse(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_283))),complement(zero)),composition(complement(converse(composition(top,X_283))),complement(zero))) )],[refute_0_5865,refute_0_5866]) ).
cnf(refute_0_5868,plain,
composition(complement(converse(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_5867]) ).
cnf(refute_0_5869,plain,
converse(complement(composition(top,X_283))) = complement(converse(composition(top,X_283))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,X_283)))]]) ).
cnf(refute_0_5870,plain,
composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(converse(complement(composition(top,X_283))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,X_283))),complement(zero)))]]) ).
cnf(refute_0_5871,plain,
( composition(converse(complement(composition(top,X_283))),complement(zero)) != composition(converse(complement(composition(top,X_283))),complement(zero))
| converse(complement(composition(top,X_283))) != complement(converse(composition(top,X_283)))
| composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,X_283))),complement(zero)),composition(converse(complement(composition(top,X_283))),complement(zero))) ),[1,0],$fot(complement(converse(composition(top,X_283))))]]) ).
cnf(refute_0_5872,plain,
( converse(complement(composition(top,X_283))) != complement(converse(composition(top,X_283)))
| composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,X_283))),complement(zero)),composition(converse(complement(composition(top,X_283))),complement(zero))) )],[refute_0_5870,refute_0_5871]) ).
cnf(refute_0_5873,plain,
composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,X_283))),complement(converse(composition(top,X_283)))) )],[refute_0_5869,refute_0_5872]) ).
cnf(refute_0_5874,plain,
( composition(complement(converse(composition(top,X_283))),complement(zero)) != composition(complement(converse(composition(top,X_283))),top)
| composition(converse(complement(composition(top,X_283))),complement(zero)) != composition(complement(converse(composition(top,X_283))),complement(zero))
| composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,X_283))),complement(zero)))),bind(Y,$fot(composition(complement(converse(composition(top,X_283))),complement(zero)))),bind(Z,$fot(composition(complement(converse(composition(top,X_283))),top)))]]) ).
cnf(refute_0_5875,plain,
( composition(complement(converse(composition(top,X_283))),complement(zero)) != composition(complement(converse(composition(top,X_283))),top)
| composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,X_283))),complement(zero)),composition(complement(converse(composition(top,X_283))),complement(zero))) )],[refute_0_5873,refute_0_5874]) ).
cnf(refute_0_5876,plain,
composition(converse(complement(composition(top,X_283))),complement(zero)) = composition(complement(converse(composition(top,X_283))),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_283))),complement(zero)),composition(complement(converse(composition(top,X_283))),top)) )],[refute_0_5868,refute_0_5875]) ).
cnf(refute_0_5877,plain,
join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))))]]) ).
cnf(refute_0_5878,plain,
( composition(converse(complement(composition(top,X_283))),complement(zero)) != composition(complement(converse(composition(top,X_283))),top)
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) != join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero)))
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))),join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero)))) ),[1,1],$fot(composition(complement(converse(composition(top,X_283))),top))]]) ).
cnf(refute_0_5879,plain,
( composition(converse(complement(composition(top,X_283))),complement(zero)) != composition(complement(converse(composition(top,X_283))),top)
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))),join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero)))) )],[refute_0_5877,refute_0_5878]) ).
cnf(refute_0_5880,plain,
join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) = join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,X_283))),complement(zero)),composition(complement(converse(composition(top,X_283))),top)) )],[refute_0_5876,refute_0_5879]) ).
cnf(refute_0_5881,plain,
( join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) != complement(converse(composition(top,X_283)))
| join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) != join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top))
| join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = complement(converse(composition(top,X_283))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))),complement(converse(composition(top,X_283)))) ),[0],$fot(join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)))]]) ).
cnf(refute_0_5882,plain,
( join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))) != complement(converse(composition(top,X_283)))
| join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = complement(converse(composition(top,X_283))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))),join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top))) )],[refute_0_5880,refute_0_5881]) ).
cnf(refute_0_5883,plain,
join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = complement(converse(composition(top,X_283))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(converse(complement(composition(top,X_283))),complement(zero))),complement(converse(composition(top,X_283)))) )],[refute_0_5864,refute_0_5882]) ).
cnf(refute_0_5884,plain,
composition(complement(converse(composition(top,X_283))),join(one,top)) = composition(complement(converse(composition(top,X_283))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,X_283))),join(one,top)))]]) ).
cnf(refute_0_5885,plain,
( composition(complement(converse(composition(top,X_283))),join(one,top)) != composition(complement(converse(composition(top,X_283))),join(one,top))
| join(one,top) != top
| composition(complement(converse(composition(top,X_283))),join(one,top)) = composition(complement(converse(composition(top,X_283))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,X_283))),join(one,top)),composition(complement(converse(composition(top,X_283))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5886,plain,
( join(one,top) != top
| composition(complement(converse(composition(top,X_283))),join(one,top)) = composition(complement(converse(composition(top,X_283))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_283))),join(one,top)),composition(complement(converse(composition(top,X_283))),join(one,top))) )],[refute_0_5884,refute_0_5885]) ).
cnf(refute_0_5887,plain,
composition(complement(converse(composition(top,X_283))),join(one,top)) = composition(complement(converse(composition(top,X_283))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_5886]) ).
cnf(refute_0_5888,plain,
join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = composition(complement(converse(composition(top,X_283))),join(one,top)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(complement(converse(composition(top,X_283))))),bind(X_426,$fot(top))]]) ).
cnf(refute_0_5889,plain,
( composition(complement(converse(composition(top,X_283))),join(one,top)) != composition(complement(converse(composition(top,X_283))),top)
| join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) != composition(complement(converse(composition(top,X_283))),join(one,top))
| join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = composition(complement(converse(composition(top,X_283))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)))),bind(Y,$fot(composition(complement(converse(composition(top,X_283))),join(one,top)))),bind(Z,$fot(composition(complement(converse(composition(top,X_283))),top)))]]) ).
cnf(refute_0_5890,plain,
( composition(complement(converse(composition(top,X_283))),join(one,top)) != composition(complement(converse(composition(top,X_283))),top)
| join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = composition(complement(converse(composition(top,X_283))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)),composition(complement(converse(composition(top,X_283))),join(one,top))) )],[refute_0_5888,refute_0_5889]) ).
cnf(refute_0_5891,plain,
join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) = composition(complement(converse(composition(top,X_283))),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_283))),join(one,top)),composition(complement(converse(composition(top,X_283))),top)) )],[refute_0_5887,refute_0_5890]) ).
cnf(refute_0_5892,plain,
( join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) != complement(converse(composition(top,X_283)))
| join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) != composition(complement(converse(composition(top,X_283))),top)
| composition(complement(converse(composition(top,X_283))),top) = complement(converse(composition(top,X_283))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)),complement(converse(composition(top,X_283)))) ),[0],$fot(composition(complement(converse(composition(top,X_283))),top))]]) ).
cnf(refute_0_5893,plain,
( join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)) != complement(converse(composition(top,X_283)))
| composition(complement(converse(composition(top,X_283))),top) = complement(converse(composition(top,X_283))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)),composition(complement(converse(composition(top,X_283))),top)) )],[refute_0_5891,refute_0_5892]) ).
cnf(refute_0_5894,plain,
composition(complement(converse(composition(top,X_283))),top) = complement(converse(composition(top,X_283))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X_283))),composition(complement(converse(composition(top,X_283))),top)),complement(converse(composition(top,X_283)))) )],[refute_0_5883,refute_0_5893]) ).
cnf(refute_0_5895,plain,
composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top) = complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_5894:[bind(X_283,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5896,plain,
composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))]]) ).
cnf(refute_0_5897,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) != composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))
| composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5898,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) )],[refute_0_5896,refute_0_5897]) ).
cnf(refute_0_5899,plain,
composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_5898]) ).
cnf(refute_0_5900,plain,
( composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) != composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top)
| composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top) != complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))),bind(Y,$fot(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top))),bind(Z,$fot(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5901,plain,
( composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top) != complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top)) )],[refute_0_5899,refute_0_5900]) ).
cnf(refute_0_5902,plain,
composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) = complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),top),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5895,refute_0_5901]) ).
cnf(refute_0_5903,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))))]]) ).
cnf(refute_0_5904,plain,
( composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) != complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))) ),[1,1],$fot(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5905,plain,
( composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))) != complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))) )],[refute_0_5903,refute_0_5904]) ).
cnf(refute_0_5906,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5902,refute_0_5905]) ).
cnf(refute_0_5907,plain,
composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(converse(composition(skolemFOFtoCNF_X0,top)))),bind(X1,$fot(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X2,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_5908,plain,
( composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))),bind(Y,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))))),bind(Z,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5909,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero))))) )],[refute_0_5907,refute_0_5908]) ).
cnf(refute_0_5910,plain,
composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(zero)))),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5906,refute_0_5909]) ).
cnf(refute_0_5911,plain,
join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))))]]) ).
cnf(refute_0_5912,plain,
( composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))) ),[1,1],$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5913,plain,
( composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))) )],[refute_0_5911,refute_0_5912]) ).
cnf(refute_0_5914,plain,
join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5910,refute_0_5913]) ).
cnf(refute_0_5915,plain,
join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))))]]) ).
cnf(refute_0_5916,plain,
( complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5917,plain,
( complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))) )],[refute_0_5915,refute_0_5916]) ).
cnf(refute_0_5918,plain,
join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5789,refute_0_5917]) ).
cnf(refute_0_5919,plain,
( join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))))),bind(Z,$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5920,plain,
( join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero))))) )],[refute_0_5918,refute_0_5919]) ).
cnf(refute_0_5921,plain,
join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5914,refute_0_5920]) ).
cnf(refute_0_5922,plain,
( join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5923,plain,
( join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5921,refute_0_5922]) ).
cnf(refute_0_5924,plain,
join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5839,refute_0_5923]) ).
cnf(refute_0_5925,plain,
( join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) ),[0],$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5926,plain,
( join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5924,refute_0_5925]) ).
cnf(refute_0_5927,plain,
( complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) ),[1],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5928,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5789,refute_0_5927]) ).
cnf(refute_0_5929,plain,
( join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5926,refute_0_5928]) ).
cnf(refute_0_5930,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(skolemFOFtoCNF_X0,top)))),composition(composition(converse(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),complement(converse(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5838,refute_0_5929]) ).
cnf(refute_0_5931,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(skolemFOFtoCNF_X0)),bind(X_467,$fot(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5932,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5933,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5931,refute_0_5932]) ).
cnf(refute_0_5934,plain,
composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5930,refute_0_5933]) ).
cnf(refute_0_5935,plain,
( composition(top,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[0,1,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5936,plain,
( composition(top,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5934,refute_0_5935]) ).
cnf(refute_0_5937,plain,
composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_5774,refute_0_5936]) ).
cnf(refute_0_5938,plain,
complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_5939,plain,
( complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(skolemFOFtoCNF_X0,top))
| complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5940,plain,
( composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(skolemFOFtoCNF_X0,top))
| complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_5938,refute_0_5939]) ).
cnf(refute_0_5941,plain,
complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5934,refute_0_5940]) ).
cnf(refute_0_5942,plain,
( complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5943,plain,
( composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5941,refute_0_5942]) ).
cnf(refute_0_5944,plain,
composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_5937,refute_0_5943]) ).
cnf(refute_0_5945,plain,
( composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))),composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))) ),[0,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5946,plain,
( converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5944,refute_0_5945]) ).
cnf(refute_0_5947,plain,
converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))),composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))) )],[refute_0_5773,refute_0_5946]) ).
cnf(refute_0_5948,plain,
converse(converse(composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5949,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5950,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(converse(composition(skolemFOFtoCNF_X0,top))))
| converse(converse(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(converse(composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_5951,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5949,refute_0_5950]) ).
cnf(refute_0_5952,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5948,refute_0_5951]) ).
cnf(refute_0_5953,plain,
converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5954,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(converse(composition(skolemFOFtoCNF_X0,top))))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5955,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_5953,refute_0_5954]) ).
cnf(refute_0_5956,plain,
converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,top)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5952,refute_0_5955]) ).
cnf(refute_0_5957,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5958,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5956,refute_0_5957]) ).
cnf(refute_0_5959,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)))]]) ).
cnf(refute_0_5960,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))
| converse(top) != top
| composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_5961,plain,
( converse(top) != top
| composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))) )],[refute_0_5959,refute_0_5960]) ).
cnf(refute_0_5962,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_5961]) ).
cnf(refute_0_5963,plain,
converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(X0)),
inference(subst,[],[refute_0_57:[bind(X1,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))]]) ).
cnf(refute_0_5964,plain,
converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))),bind(X1,$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_5965,plain,
join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)))) = complement(top),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_5966,plain,
composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_397,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5967,plain,
composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1972:[bind(X_144,$fot(converse(skolemFOFtoCNF_X0))),bind(X_145,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5968,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5969,plain,
( composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_3271,refute_0_5968]) ).
cnf(refute_0_5970,plain,
composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5967,refute_0_5969]) ).
cnf(refute_0_5971,plain,
( composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5972,plain,
( composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5716,refute_0_5971]) ).
cnf(refute_0_5973,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5974,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5975,plain,
( complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5973,refute_0_5974]) ).
cnf(refute_0_5976,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5712,refute_0_5975]) ).
cnf(refute_0_5977,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5978,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5976,refute_0_5977]) ).
cnf(refute_0_5979,plain,
( composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5972,refute_0_5978]) ).
cnf(refute_0_5980,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(skolemFOFtoCNF_X0))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5970,refute_0_5979]) ).
cnf(refute_0_5981,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_5982,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5980,refute_0_5981]) ).
cnf(refute_0_5983,plain,
( composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),top) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),[0,0,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_5984,plain,
( composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),top) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5982,refute_0_5983]) ).
cnf(refute_0_5985,plain,
composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_5966,refute_0_5984]) ).
cnf(refute_0_5986,plain,
composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(subst,[],[refute_0_3310:[bind(X_144,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_145,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_146,$fot(top))]]) ).
cnf(refute_0_5987,plain,
( composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),[0],$fot(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top))]]) ).
cnf(refute_0_5988,plain,
( composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_5986,refute_0_5987]) ).
cnf(refute_0_5989,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_5985,refute_0_5988]) ).
cnf(refute_0_5990,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)))) != complement(top)
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)))),complement(top)) ),[0,1,1,0],$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))]]) ).
cnf(refute_0_5991,plain,
( join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)))) != complement(top)
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_5989,refute_0_5990]) ).
cnf(refute_0_5992,plain,
join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top)))),complement(top)) )],[refute_0_5965,refute_0_5991]) ).
cnf(refute_0_5993,plain,
join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_5994,plain,
composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_5995,plain,
( composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_5996,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_5994,refute_0_5995]) ).
cnf(refute_0_5997,plain,
composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5782,refute_0_5996]) ).
cnf(refute_0_5998,plain,
composition(join(X_144,converse(X0)),complement(composition(X0,top))) = join(composition(X_144,complement(composition(X0,top))),composition(converse(X0),complement(composition(X0,top)))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(X_144)),bind(X1,$fot(converse(X0))),bind(X2,$fot(complement(composition(X0,top))))]]) ).
cnf(refute_0_5999,plain,
( composition(converse(X0),complement(composition(X0,top))) != zero
| composition(join(X_144,converse(X0)),complement(composition(X0,top))) != join(composition(X_144,complement(composition(X0,top))),composition(converse(X0),complement(composition(X0,top))))
| composition(join(X_144,converse(X0)),complement(composition(X0,top))) = join(composition(X_144,complement(composition(X0,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_144,converse(X0)),complement(composition(X0,top))),join(composition(X_144,complement(composition(X0,top))),composition(converse(X0),complement(composition(X0,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_6000,plain,
( composition(join(X_144,converse(X0)),complement(composition(X0,top))) != join(composition(X_144,complement(composition(X0,top))),composition(converse(X0),complement(composition(X0,top))))
| composition(join(X_144,converse(X0)),complement(composition(X0,top))) = join(composition(X_144,complement(composition(X0,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(X0,top))),zero) )],[refute_0_727,refute_0_5999]) ).
cnf(refute_0_6001,plain,
composition(join(X_144,converse(X0)),complement(composition(X0,top))) = join(composition(X_144,complement(composition(X0,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_144,converse(X0)),complement(composition(X0,top))),join(composition(X_144,complement(composition(X0,top))),composition(converse(X0),complement(composition(X0,top))))) )],[refute_0_5998,refute_0_6000]) ).
cnf(refute_0_6002,plain,
join(composition(X_144,complement(composition(X0,top))),zero) = composition(X_144,complement(composition(X0,top))),
inference(subst,[],[refute_0_765:[bind(X_97,$fot(composition(X_144,complement(composition(X0,top)))))]]) ).
cnf(refute_0_6003,plain,
( composition(join(X_144,converse(X0)),complement(composition(X0,top))) != join(composition(X_144,complement(composition(X0,top))),zero)
| join(composition(X_144,complement(composition(X0,top))),zero) != composition(X_144,complement(composition(X0,top)))
| composition(join(X_144,converse(X0)),complement(composition(X0,top))) = composition(X_144,complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_144,converse(X0)),complement(composition(X0,top))),composition(X_144,complement(composition(X0,top)))) ),[0],$fot(join(composition(X_144,complement(composition(X0,top))),zero))]]) ).
cnf(refute_0_6004,plain,
( composition(join(X_144,converse(X0)),complement(composition(X0,top))) != join(composition(X_144,complement(composition(X0,top))),zero)
| composition(join(X_144,converse(X0)),complement(composition(X0,top))) = composition(X_144,complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,complement(composition(X0,top))),zero),composition(X_144,complement(composition(X0,top)))) )],[refute_0_6002,refute_0_6003]) ).
cnf(refute_0_6005,plain,
composition(join(X_144,converse(X0)),complement(composition(X0,top))) = composition(X_144,complement(composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(join(X_144,converse(X0)),complement(composition(X0,top))),join(composition(X_144,complement(composition(X0,top))),zero)) )],[refute_0_6001,refute_0_6004]) ).
cnf(refute_0_6006,plain,
composition(join(converse(X0),converse(X_248)),complement(composition(X_248,top))) = composition(converse(X0),complement(composition(X_248,top))),
inference(subst,[],[refute_0_6005:[bind(X0,$fot(X_248)),bind(X_144,$fot(converse(X0)))]]) ).
cnf(refute_0_6007,plain,
converse(join(X0,X_248)) = join(converse(X0),converse(X_248)),
inference(subst,[],[refute_0_268:[bind(X1,$fot(X_248))]]) ).
cnf(refute_0_6008,plain,
( converse(join(X0,X_248)) != join(converse(X0),converse(X_248))
| join(converse(X0),converse(X_248)) = converse(join(X0,X_248)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,X_248)))),bind(Y,$fot(join(converse(X0),converse(X_248))))]]) ).
cnf(refute_0_6009,plain,
join(converse(X0),converse(X_248)) = converse(join(X0,X_248)),
inference(resolve,[$cnf( $equal(converse(join(X0,X_248)),join(converse(X0),converse(X_248))) )],[refute_0_6007,refute_0_6008]) ).
cnf(refute_0_6010,plain,
( composition(join(converse(X0),converse(X_248)),complement(composition(X_248,top))) != composition(converse(X0),complement(composition(X_248,top)))
| join(converse(X0),converse(X_248)) != converse(join(X0,X_248))
| composition(converse(join(X0,X_248)),complement(composition(X_248,top))) = composition(converse(X0),complement(composition(X_248,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X0),converse(X_248)),complement(composition(X_248,top))),composition(converse(X0),complement(composition(X_248,top)))) ),[0,0],$fot(converse(join(X0,X_248)))]]) ).
cnf(refute_0_6011,plain,
( composition(join(converse(X0),converse(X_248)),complement(composition(X_248,top))) != composition(converse(X0),complement(composition(X_248,top)))
| composition(converse(join(X0,X_248)),complement(composition(X_248,top))) = composition(converse(X0),complement(composition(X_248,top))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X_248)),converse(join(X0,X_248))) )],[refute_0_6009,refute_0_6010]) ).
cnf(refute_0_6012,plain,
composition(converse(join(X0,X_248)),complement(composition(X_248,top))) = composition(converse(X0),complement(composition(X_248,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),converse(X_248)),complement(composition(X_248,top))),composition(converse(X0),complement(composition(X_248,top)))) )],[refute_0_6006,refute_0_6011]) ).
cnf(refute_0_6013,plain,
composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(subst,[],[refute_0_6012:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_248,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6014,plain,
( composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),bind(Y,$fot(composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),bind(Z,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_6015,plain,
( composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_6013,refute_0_6014]) ).
cnf(refute_0_6016,plain,
composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_5997,refute_0_6015]) ).
cnf(refute_0_6017,plain,
join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_6018,plain,
( composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) ),[1,1],$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_6019,plain,
( composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6017,refute_0_6018]) ).
cnf(refute_0_6020,plain,
join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_6016,refute_0_6019]) ).
cnf(refute_0_6021,plain,
join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_6022,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6023,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6021,refute_0_6022]) ).
cnf(refute_0_6024,plain,
join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6023]) ).
cnf(refute_0_6025,plain,
( join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),bind(Y,$fot(join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),bind(Z,$fot(join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))]]) ).
cnf(refute_0_6026,plain,
( join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6024,refute_0_6025]) ).
cnf(refute_0_6027,plain,
join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6020,refute_0_6026]) ).
cnf(refute_0_6028,plain,
( join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),bind(Y,$fot(join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),bind(Z,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_6029,plain,
( join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6027,refute_0_6028]) ).
cnf(refute_0_6030,plain,
join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_5993,refute_0_6029]) ).
cnf(refute_0_6031,plain,
( join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != complement(top)
| join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),complement(top)) ),[0],$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_6032,plain,
( join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != complement(top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_6030,refute_0_6031]) ).
cnf(refute_0_6033,plain,
( complement(top) != zero
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != complement(top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6034,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != complement(top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6033]) ).
cnf(refute_0_6035,plain,
( join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != complement(top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),complement(top)) )],[refute_0_6032,refute_0_6034]) ).
cnf(refute_0_6036,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),complement(top)) )],[refute_0_5992,refute_0_6035]) ).
cnf(refute_0_6037,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != zero
| converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))
| converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_6038,plain,
( converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))
| converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),zero) )],[refute_0_6036,refute_0_6037]) ).
cnf(refute_0_6039,plain,
converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) )],[refute_0_5964,refute_0_6038]) ).
cnf(refute_0_6040,plain,
join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6041,plain,
converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_6042,plain,
( converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))))
| join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))),converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6043,plain,
( join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))),converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_6041,refute_0_6042]) ).
cnf(refute_0_6044,plain,
converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6040,refute_0_6043]) ).
cnf(refute_0_6045,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,top))))
| converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6046,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))),converse(complement(converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6044,refute_0_6045]) ).
cnf(refute_0_6047,plain,
converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5956,refute_0_6046]) ).
cnf(refute_0_6048,plain,
converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) = converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(zero)),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6049,plain,
( converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) != converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))))
| converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)))),bind(Y,$fot(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6050,plain,
( converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)),converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_6048,refute_0_6049]) ).
cnf(refute_0_6051,plain,
converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(converse(composition(skolemFOFtoCNF_X0,top))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6047,refute_0_6050]) ).
cnf(refute_0_6052,plain,
( converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero))
| converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),complement(composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)))]]) ).
cnf(refute_0_6053,plain,
( converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero))
| converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6051,refute_0_6052]) ).
cnf(refute_0_6054,plain,
converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(join(complement(converse(composition(skolemFOFtoCNF_X0,top))),zero))) )],[refute_0_6039,refute_0_6053]) ).
cnf(refute_0_6055,plain,
( converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(X0))
| converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(X0))) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6056,plain,
( converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(X0))
| converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6054,refute_0_6055]) ).
cnf(refute_0_6057,plain,
converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),converse(X0))) )],[refute_0_5963,refute_0_6056]) ).
cnf(refute_0_6058,plain,
converse(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))]]) ).
cnf(refute_0_6059,plain,
( converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) ),[0,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6060,plain,
( converse(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6054,refute_0_6059]) ).
cnf(refute_0_6061,plain,
converse(complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6058,refute_0_6060]) ).
cnf(refute_0_6062,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| complement(converse(composition(skolemFOFtoCNF_X0,top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) ),[0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6063,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| complement(converse(composition(skolemFOFtoCNF_X0,top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5782,refute_0_6062]) ).
cnf(refute_0_6064,plain,
complement(converse(composition(skolemFOFtoCNF_X0,top))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6061,refute_0_6063]) ).
cnf(refute_0_6065,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,top))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = complement(converse(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))]]) ).
cnf(refute_0_6066,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) )],[refute_0_6064,refute_0_6065]) ).
cnf(refute_0_6067,plain,
composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),
introduced(tautology,[refl,[$fot(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))]]) ).
cnf(refute_0_6068,plain,
( composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) ),[1,1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6069,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) )],[refute_0_6067,refute_0_6068]) ).
cnf(refute_0_6070,plain,
composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) = composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_6066,refute_0_6069]) ).
cnf(refute_0_6071,plain,
converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),
introduced(tautology,[refl,[$fot(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))))]]) ).
cnf(refute_0_6072,plain,
( composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))
| converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))
| converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))) ),[1,0],$fot(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6073,plain,
( composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))) != composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))
| converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))))) )],[refute_0_6071,refute_0_6072]) ).
cnf(refute_0_6074,plain,
converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) = converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))),composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6070,refute_0_6073]) ).
cnf(refute_0_6075,plain,
( converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0))
| converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0))) ),[0],$fot(converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_6076,plain,
( converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0))
| converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_6074,refute_0_6075]) ).
cnf(refute_0_6077,plain,
converse(composition(X0,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(X0))) )],[refute_0_6057,refute_0_6076]) ).
cnf(refute_0_6078,plain,
converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)),
inference(subst,[],[refute_0_6077:[bind(X0,$fot(top))]]) ).
cnf(refute_0_6079,plain,
composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6080,plain,
( composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) != converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))
| composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)))),bind(Y,$fot(converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))))]]) ).
cnf(refute_0_6081,plain,
( converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))
| composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)),converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_6079,refute_0_6080]) ).
cnf(refute_0_6082,plain,
composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))) )],[refute_0_6078,refute_0_6081]) ).
cnf(refute_0_6083,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))
| composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)))),bind(Y,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)))),bind(Z,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_6084,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top))) )],[refute_0_6082,refute_0_6083]) ).
cnf(refute_0_6085,plain,
composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),converse(top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_5962,refute_0_6084]) ).
cnf(refute_0_6086,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[0],$fot(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)))]]) ).
cnf(refute_0_6087,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_6085,refute_0_6086]) ).
cnf(refute_0_6088,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))) )],[refute_0_5958,refute_0_6087]) ).
cnf(refute_0_6089,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,top)))),converse(top))) )],[refute_0_5947,refute_0_6088]) ).
cnf(refute_0_6090,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_6091,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_6089,refute_0_6090]) ).
cnf(refute_0_6092,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_2554:[bind(X1,$fot(join(one,composition(skolemFOFtoCNF_X0,top)))),bind(X_275,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6093,plain,
meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = complement(join(complement(join(X1,X_96)),meet(complement(X1),X_96))),
inference(subst,[],[refute_0_903:[bind(X0,$fot(join(X1,X_96))),bind(X_31,$fot(meet(complement(X1),X_96)))]]) ).
cnf(refute_0_6094,plain,
( join(complement(join(X1,X_96)),meet(complement(X1),X_96)) != complement(X1)
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != complement(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),complement(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_6095,plain,
( meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != complement(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_96)),meet(complement(X1),X_96)),complement(X1)) )],[refute_0_1236,refute_0_6094]) ).
cnf(refute_0_6096,plain,
meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),complement(join(complement(join(X1,X_96)),meet(complement(X1),X_96)))) )],[refute_0_6093,refute_0_6095]) ).
cnf(refute_0_6097,plain,
join(X_679,complement(X_678)) = complement(complement(join(X_679,complement(X_678)))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(join(X_679,complement(X_678))))]]) ).
cnf(refute_0_6098,plain,
meet(complement(X_679),X_678) = complement(join(X_679,complement(X_678))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(X_678)),bind(X_31,$fot(X_679))]]) ).
cnf(refute_0_6099,plain,
( meet(complement(X_679),X_678) != complement(join(X_679,complement(X_678)))
| complement(join(X_679,complement(X_678))) = meet(complement(X_679),X_678) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(X_679),X_678))),bind(Y,$fot(complement(join(X_679,complement(X_678)))))]]) ).
cnf(refute_0_6100,plain,
complement(join(X_679,complement(X_678))) = meet(complement(X_679),X_678),
inference(resolve,[$cnf( $equal(meet(complement(X_679),X_678),complement(join(X_679,complement(X_678)))) )],[refute_0_6098,refute_0_6099]) ).
cnf(refute_0_6101,plain,
( complement(join(X_679,complement(X_678))) != meet(complement(X_679),X_678)
| join(X_679,complement(X_678)) != complement(complement(join(X_679,complement(X_678))))
| join(X_679,complement(X_678)) = complement(meet(complement(X_679),X_678)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_679,complement(X_678)),complement(complement(join(X_679,complement(X_678))))) ),[1,0],$fot(meet(complement(X_679),X_678))]]) ).
cnf(refute_0_6102,plain,
( join(X_679,complement(X_678)) != complement(complement(join(X_679,complement(X_678))))
| join(X_679,complement(X_678)) = complement(meet(complement(X_679),X_678)) ),
inference(resolve,[$cnf( $equal(complement(join(X_679,complement(X_678))),meet(complement(X_679),X_678)) )],[refute_0_6100,refute_0_6101]) ).
cnf(refute_0_6103,plain,
join(X_679,complement(X_678)) = complement(meet(complement(X_679),X_678)),
inference(resolve,[$cnf( $equal(join(X_679,complement(X_678)),complement(complement(join(X_679,complement(X_678))))) )],[refute_0_6097,refute_0_6102]) ).
cnf(refute_0_6104,plain,
( join(X_679,complement(X_678)) != complement(meet(complement(X_679),X_678))
| complement(meet(complement(X_679),X_678)) = join(X_679,complement(X_678)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_679,complement(X_678)))),bind(Y,$fot(complement(meet(complement(X_679),X_678))))]]) ).
cnf(refute_0_6105,plain,
complement(meet(complement(X_679),X_678)) = join(X_679,complement(X_678)),
inference(resolve,[$cnf( $equal(join(X_679,complement(X_678)),complement(meet(complement(X_679),X_678))) )],[refute_0_6103,refute_0_6104]) ).
cnf(refute_0_6106,plain,
complement(meet(complement(X1),X_96)) = join(X1,complement(X_96)),
inference(subst,[],[refute_0_6105:[bind(X_678,$fot(X_96)),bind(X_679,$fot(X1))]]) ).
cnf(refute_0_6107,plain,
meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = meet(join(X1,X_96),complement(meet(complement(X1),X_96))),
introduced(tautology,[refl,[$fot(meet(join(X1,X_96),complement(meet(complement(X1),X_96))))]]) ).
cnf(refute_0_6108,plain,
( complement(meet(complement(X1),X_96)) != join(X1,complement(X_96))
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != meet(join(X1,X_96),complement(meet(complement(X1),X_96)))
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = meet(join(X1,X_96),join(X1,complement(X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),meet(join(X1,X_96),complement(meet(complement(X1),X_96)))) ),[1,1],$fot(join(X1,complement(X_96)))]]) ).
cnf(refute_0_6109,plain,
( complement(meet(complement(X1),X_96)) != join(X1,complement(X_96))
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = meet(join(X1,X_96),join(X1,complement(X_96))) ),
inference(resolve,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),meet(join(X1,X_96),complement(meet(complement(X1),X_96)))) )],[refute_0_6107,refute_0_6108]) ).
cnf(refute_0_6110,plain,
meet(join(X1,X_96),complement(meet(complement(X1),X_96))) = meet(join(X1,X_96),join(X1,complement(X_96))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X1),X_96)),join(X1,complement(X_96))) )],[refute_0_6106,refute_0_6109]) ).
cnf(refute_0_6111,plain,
( meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != complement(complement(X1))
| meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != meet(join(X1,X_96),join(X1,complement(X_96)))
| meet(join(X1,X_96),join(X1,complement(X_96))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),complement(complement(X1))) ),[0],$fot(meet(join(X1,X_96),join(X1,complement(X_96))))]]) ).
cnf(refute_0_6112,plain,
( meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != complement(complement(X1))
| meet(join(X1,X_96),join(X1,complement(X_96))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),meet(join(X1,X_96),join(X1,complement(X_96)))) )],[refute_0_6110,refute_0_6111]) ).
cnf(refute_0_6113,plain,
( complement(complement(X1)) != X1
| meet(join(X1,X_96),join(X1,complement(X_96))) != complement(complement(X1))
| meet(join(X1,X_96),join(X1,complement(X_96))) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X1,X_96),join(X1,complement(X_96))),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_6114,plain,
( meet(join(X1,X_96),join(X1,complement(X_96))) != complement(complement(X1))
| meet(join(X1,X_96),join(X1,complement(X_96))) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_6113]) ).
cnf(refute_0_6115,plain,
( meet(join(X1,X_96),complement(meet(complement(X1),X_96))) != complement(complement(X1))
| meet(join(X1,X_96),join(X1,complement(X_96))) = X1 ),
inference(resolve,[$cnf( $equal(meet(join(X1,X_96),join(X1,complement(X_96))),complement(complement(X1))) )],[refute_0_6112,refute_0_6114]) ).
cnf(refute_0_6116,plain,
meet(join(X1,X_96),join(X1,complement(X_96))) = X1,
inference(resolve,[$cnf( $equal(meet(join(X1,X_96),complement(meet(complement(X1),X_96))),complement(complement(X1))) )],[refute_0_6096,refute_0_6115]) ).
cnf(refute_0_6117,plain,
meet(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_6116:[bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_96,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6118,plain,
meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(one)),bind(X_270,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6119,plain,
X_171 = meet(X_171,join(complement(complement(X1)),meet(complement(X1),X_171))),
inference(subst,[],[refute_0_4185:[bind(X_114,$fot(complement(X1))),bind(X_115,$fot(X_171))]]) ).
cnf(refute_0_6120,plain,
( X_171 != meet(X_171,join(complement(complement(X1)),meet(complement(X1),X_171)))
| complement(complement(X1)) != X1
| X_171 = meet(X_171,join(X1,meet(complement(X1),X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(X_171,meet(X_171,join(complement(complement(X1)),meet(complement(X1),X_171)))) ),[1,1,0],$fot(X1)]]) ).
cnf(refute_0_6121,plain,
( X_171 != meet(X_171,join(complement(complement(X1)),meet(complement(X1),X_171)))
| X_171 = meet(X_171,join(X1,meet(complement(X1),X_171))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_6120]) ).
cnf(refute_0_6122,plain,
X_171 = meet(X_171,join(X1,meet(complement(X1),X_171))),
inference(resolve,[$cnf( $equal(X_171,meet(X_171,join(complement(complement(X1)),meet(complement(X1),X_171)))) )],[refute_0_6119,refute_0_6121]) ).
cnf(refute_0_6123,plain,
join(X1,meet(complement(X1),X_298)) = join(join(X1,meet(complement(X1),X_298)),meet(X_298,join(X1,meet(complement(X1),X_298)))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(X_298)),bind(X_270,$fot(join(X1,meet(complement(X1),X_298))))]]) ).
cnf(refute_0_6124,plain,
X_298 = meet(X_298,join(X1,meet(complement(X1),X_298))),
inference(subst,[],[refute_0_6122:[bind(X_171,$fot(X_298))]]) ).
cnf(refute_0_6125,plain,
( X_298 != meet(X_298,join(X1,meet(complement(X1),X_298)))
| meet(X_298,join(X1,meet(complement(X1),X_298))) = X_298 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_298)),bind(Y,$fot(meet(X_298,join(X1,meet(complement(X1),X_298)))))]]) ).
cnf(refute_0_6126,plain,
meet(X_298,join(X1,meet(complement(X1),X_298))) = X_298,
inference(resolve,[$cnf( $equal(X_298,meet(X_298,join(X1,meet(complement(X1),X_298)))) )],[refute_0_6124,refute_0_6125]) ).
cnf(refute_0_6127,plain,
( join(X1,meet(complement(X1),X_298)) != join(join(X1,meet(complement(X1),X_298)),meet(X_298,join(X1,meet(complement(X1),X_298))))
| meet(X_298,join(X1,meet(complement(X1),X_298))) != X_298
| join(X1,meet(complement(X1),X_298)) = join(join(X1,meet(complement(X1),X_298)),X_298) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,meet(complement(X1),X_298)),join(join(X1,meet(complement(X1),X_298)),meet(X_298,join(X1,meet(complement(X1),X_298))))) ),[1,1],$fot(X_298)]]) ).
cnf(refute_0_6128,plain,
( join(X1,meet(complement(X1),X_298)) != join(join(X1,meet(complement(X1),X_298)),meet(X_298,join(X1,meet(complement(X1),X_298))))
| join(X1,meet(complement(X1),X_298)) = join(join(X1,meet(complement(X1),X_298)),X_298) ),
inference(resolve,[$cnf( $equal(meet(X_298,join(X1,meet(complement(X1),X_298))),X_298) )],[refute_0_6126,refute_0_6127]) ).
cnf(refute_0_6129,plain,
join(X1,meet(complement(X1),X_298)) = join(join(X1,meet(complement(X1),X_298)),X_298),
inference(resolve,[$cnf( $equal(join(X1,meet(complement(X1),X_298)),join(join(X1,meet(complement(X1),X_298)),meet(X_298,join(X1,meet(complement(X1),X_298))))) )],[refute_0_6123,refute_0_6128]) ).
cnf(refute_0_6130,plain,
join(X_298,join(X1,meet(complement(X1),X_298))) = join(X1,X_298),
inference(subst,[],[refute_0_4724:[bind(X_298,$fot(complement(X1))),bind(X_55,$fot(X_298)),bind(X_56,$fot(X1))]]) ).
cnf(refute_0_6131,plain,
join(join(X1,meet(complement(X1),X_298)),X_298) = join(X_298,join(X1,meet(complement(X1),X_298))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(X1,meet(complement(X1),X_298)))),bind(X_20,$fot(X_298))]]) ).
cnf(refute_0_6132,plain,
( join(X_298,join(X1,meet(complement(X1),X_298))) != join(X1,X_298)
| join(join(X1,meet(complement(X1),X_298)),X_298) != join(X_298,join(X1,meet(complement(X1),X_298)))
| join(join(X1,meet(complement(X1),X_298)),X_298) = join(X1,X_298) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X1,meet(complement(X1),X_298)),X_298))),bind(Y,$fot(join(X_298,join(X1,meet(complement(X1),X_298))))),bind(Z,$fot(join(X1,X_298)))]]) ).
cnf(refute_0_6133,plain,
( join(X_298,join(X1,meet(complement(X1),X_298))) != join(X1,X_298)
| join(join(X1,meet(complement(X1),X_298)),X_298) = join(X1,X_298) ),
inference(resolve,[$cnf( $equal(join(join(X1,meet(complement(X1),X_298)),X_298),join(X_298,join(X1,meet(complement(X1),X_298)))) )],[refute_0_6131,refute_0_6132]) ).
cnf(refute_0_6134,plain,
join(join(X1,meet(complement(X1),X_298)),X_298) = join(X1,X_298),
inference(resolve,[$cnf( $equal(join(X_298,join(X1,meet(complement(X1),X_298))),join(X1,X_298)) )],[refute_0_6130,refute_0_6133]) ).
cnf(refute_0_6135,plain,
( join(X1,meet(complement(X1),X_298)) != join(join(X1,meet(complement(X1),X_298)),X_298)
| join(join(X1,meet(complement(X1),X_298)),X_298) != join(X1,X_298)
| join(X1,meet(complement(X1),X_298)) = join(X1,X_298) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,meet(complement(X1),X_298)),join(X1,X_298)) ),[0],$fot(join(join(X1,meet(complement(X1),X_298)),X_298))]]) ).
cnf(refute_0_6136,plain,
( join(X1,meet(complement(X1),X_298)) != join(join(X1,meet(complement(X1),X_298)),X_298)
| join(X1,meet(complement(X1),X_298)) = join(X1,X_298) ),
inference(resolve,[$cnf( $equal(join(join(X1,meet(complement(X1),X_298)),X_298),join(X1,X_298)) )],[refute_0_6134,refute_0_6135]) ).
cnf(refute_0_6137,plain,
join(X1,meet(complement(X1),X_298)) = join(X1,X_298),
inference(resolve,[$cnf( $equal(join(X1,meet(complement(X1),X_298)),join(join(X1,meet(complement(X1),X_298)),X_298)) )],[refute_0_6129,refute_0_6136]) ).
cnf(refute_0_6138,plain,
join(X1,meet(complement(X1),X_171)) = join(X1,X_171),
inference(subst,[],[refute_0_6137:[bind(X_298,$fot(X_171))]]) ).
cnf(refute_0_6139,plain,
meet(X_171,join(X1,meet(complement(X1),X_171))) = meet(X_171,join(X1,meet(complement(X1),X_171))),
introduced(tautology,[refl,[$fot(meet(X_171,join(X1,meet(complement(X1),X_171))))]]) ).
cnf(refute_0_6140,plain,
( join(X1,meet(complement(X1),X_171)) != join(X1,X_171)
| meet(X_171,join(X1,meet(complement(X1),X_171))) != meet(X_171,join(X1,meet(complement(X1),X_171)))
| meet(X_171,join(X1,meet(complement(X1),X_171))) = meet(X_171,join(X1,X_171)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_171,join(X1,meet(complement(X1),X_171))),meet(X_171,join(X1,meet(complement(X1),X_171)))) ),[1,1],$fot(join(X1,X_171))]]) ).
cnf(refute_0_6141,plain,
( join(X1,meet(complement(X1),X_171)) != join(X1,X_171)
| meet(X_171,join(X1,meet(complement(X1),X_171))) = meet(X_171,join(X1,X_171)) ),
inference(resolve,[$cnf( $equal(meet(X_171,join(X1,meet(complement(X1),X_171))),meet(X_171,join(X1,meet(complement(X1),X_171)))) )],[refute_0_6139,refute_0_6140]) ).
cnf(refute_0_6142,plain,
meet(X_171,join(X1,meet(complement(X1),X_171))) = meet(X_171,join(X1,X_171)),
inference(resolve,[$cnf( $equal(join(X1,meet(complement(X1),X_171)),join(X1,X_171)) )],[refute_0_6138,refute_0_6141]) ).
cnf(refute_0_6143,plain,
( X_171 != meet(X_171,join(X1,meet(complement(X1),X_171)))
| meet(X_171,join(X1,meet(complement(X1),X_171))) != meet(X_171,join(X1,X_171))
| X_171 = meet(X_171,join(X1,X_171)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_171,meet(X_171,join(X1,X_171))) ),[0],$fot(meet(X_171,join(X1,meet(complement(X1),X_171))))]]) ).
cnf(refute_0_6144,plain,
( X_171 != meet(X_171,join(X1,meet(complement(X1),X_171)))
| X_171 = meet(X_171,join(X1,X_171)) ),
inference(resolve,[$cnf( $equal(meet(X_171,join(X1,meet(complement(X1),X_171))),meet(X_171,join(X1,X_171))) )],[refute_0_6142,refute_0_6143]) ).
cnf(refute_0_6145,plain,
X_171 = meet(X_171,join(X1,X_171)),
inference(resolve,[$cnf( $equal(X_171,meet(X_171,join(X1,meet(complement(X1),X_171)))) )],[refute_0_6122,refute_0_6144]) ).
cnf(refute_0_6146,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6145:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_171,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6147,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6148,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$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_6149,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( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_2078,refute_0_6148]) ).
cnf(refute_0_6150,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_6147,refute_0_6149]) ).
cnf(refute_0_6151,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6150:[bind(X2,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6152,plain,
join(one,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6153,plain,
complement(complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_96,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6154,plain,
converse(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6155,plain,
join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(one))),bind(X_270,$fot(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6156,plain,
complement(one) = join(complement(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6157,plain,
top = converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))))))),
inference(subst,[],[refute_0_4201:[bind(X_212,$fot(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))))]]) ).
cnf(refute_0_6158,plain,
top = join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),
inference(subst,[],[refute_0_1565:[bind(X_22,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6159,plain,
( top != join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))]]) ).
cnf(refute_0_6160,plain,
join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))) )],[refute_0_6158,refute_0_6159]) ).
cnf(refute_0_6161,plain,
( join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) != top
| top != converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))))
| top = converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))))) ),[1,0,1,1,0],$fot(top)]]) ).
cnf(refute_0_6162,plain,
( top != converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))))
| top = converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),top) )],[refute_0_6160,refute_0_6161]) ).
cnf(refute_0_6163,plain,
top = converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))))) )],[refute_0_6157,refute_0_6162]) ).
cnf(refute_0_6164,plain,
join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))))]]) ).
cnf(refute_0_6165,plain,
converse(converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_59:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6166,plain,
join(converse(converse(skolemFOFtoCNF_X0)),X_21) = join(converse(converse(skolemFOFtoCNF_X0)),X_21),
introduced(tautology,[refl,[$fot(join(converse(converse(skolemFOFtoCNF_X0)),X_21))]]) ).
cnf(refute_0_6167,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(converse(converse(skolemFOFtoCNF_X0)),X_21) != join(converse(converse(skolemFOFtoCNF_X0)),X_21)
| join(converse(converse(skolemFOFtoCNF_X0)),X_21) = join(skolemFOFtoCNF_X0,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(skolemFOFtoCNF_X0)),X_21),join(converse(converse(skolemFOFtoCNF_X0)),X_21)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6168,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(converse(converse(skolemFOFtoCNF_X0)),X_21) = join(skolemFOFtoCNF_X0,X_21) ),
inference(resolve,[$cnf( $equal(join(converse(converse(skolemFOFtoCNF_X0)),X_21),join(converse(converse(skolemFOFtoCNF_X0)),X_21)) )],[refute_0_6166,refute_0_6167]) ).
cnf(refute_0_6169,plain,
join(converse(converse(skolemFOFtoCNF_X0)),X_21) = join(skolemFOFtoCNF_X0,X_21),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_6165,refute_0_6168]) ).
cnf(refute_0_6170,plain,
complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) = complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)),
introduced(tautology,[refl,[$fot(complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))]]) ).
cnf(refute_0_6171,plain,
( complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) != complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))
| join(converse(converse(skolemFOFtoCNF_X0)),X_21) != join(skolemFOFtoCNF_X0,X_21)
| complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) = complement(join(skolemFOFtoCNF_X0,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)),complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,X_21))]]) ).
cnf(refute_0_6172,plain,
( join(converse(converse(skolemFOFtoCNF_X0)),X_21) != join(skolemFOFtoCNF_X0,X_21)
| complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) = complement(join(skolemFOFtoCNF_X0,X_21)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)),complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) )],[refute_0_6170,refute_0_6171]) ).
cnf(refute_0_6173,plain,
complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) = complement(join(skolemFOFtoCNF_X0,X_21)),
inference(resolve,[$cnf( $equal(join(converse(converse(skolemFOFtoCNF_X0)),X_21),join(skolemFOFtoCNF_X0,X_21)) )],[refute_0_6169,refute_0_6172]) ).
cnf(refute_0_6174,plain,
join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) = join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),
introduced(tautology,[refl,[$fot(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))]]) ).
cnf(refute_0_6175,plain,
( complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) != complement(join(skolemFOFtoCNF_X0,X_21))
| join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) != join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))
| join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,X_21)))]]) ).
cnf(refute_0_6176,plain,
( complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)) != complement(join(skolemFOFtoCNF_X0,X_21))
| join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))) ),
inference(resolve,[$cnf( $equal(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) )],[refute_0_6174,refute_0_6175]) ).
cnf(refute_0_6177,plain,
join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))),
inference(resolve,[$cnf( $equal(complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)),complement(join(skolemFOFtoCNF_X0,X_21))) )],[refute_0_6173,refute_0_6176]) ).
cnf(refute_0_6178,plain,
join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),
introduced(tautology,[refl,[$fot(join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))]]) ).
cnf(refute_0_6179,plain,
( join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) != join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))
| join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))
| join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) ),[1,1],$fot(join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))]]) ).
cnf(refute_0_6180,plain,
( join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))) != join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))
| join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) )],[refute_0_6178,refute_0_6179]) ).
cnf(refute_0_6181,plain,
join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(resolve,[$cnf( $equal(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) )],[refute_0_6177,refute_0_6180]) ).
cnf(refute_0_6182,plain,
join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))]]) ).
cnf(refute_0_6183,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6184,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) )],[refute_0_6182,refute_0_6183]) ).
cnf(refute_0_6185,plain,
join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_4242,refute_0_6184]) ).
cnf(refute_0_6186,plain,
( join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))
| join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))),bind(Y,$fot(join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))),bind(Z,$fot(join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))))]]) ).
cnf(refute_0_6187,plain,
( join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) )],[refute_0_6185,refute_0_6186]) ).
cnf(refute_0_6188,plain,
join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(resolve,[$cnf( $equal(join(zero,join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))) )],[refute_0_6181,refute_0_6187]) ).
cnf(refute_0_6189,plain,
( join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) != join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))),bind(Y,$fot(join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))))),bind(Z,$fot(join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))))]]) ).
cnf(refute_0_6190,plain,
( join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) != join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))
| join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))) )],[refute_0_6188,refute_0_6189]) ).
cnf(refute_0_6191,plain,
join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))),
inference(resolve,[$cnf( $equal(join(zero,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) )],[refute_0_6164,refute_0_6190]) ).
cnf(refute_0_6192,plain,
join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))))]]) ).
cnf(refute_0_6193,plain,
( join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))
| join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) != join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))) ),[1,1],$fot(join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))]]) ).
cnf(refute_0_6194,plain,
( join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))
| join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))) )],[refute_0_6192,refute_0_6193]) ).
cnf(refute_0_6195,plain,
join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) )],[refute_0_6191,refute_0_6194]) ).
cnf(refute_0_6196,plain,
join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),
inference(subst,[],[refute_0_3105:[bind(X_5,$fot(complement(top))),bind(X_57,$fot(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))]]) ).
cnf(refute_0_6197,plain,
join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) = join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),bind(X_20,$fot(converse(join(one,complement(top)))))]]) ).
cnf(refute_0_6198,plain,
( join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) != join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))
| join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))))),bind(Y,$fot(join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))),bind(Z,$fot(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))]]) ).
cnf(refute_0_6199,plain,
( join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))) != join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) ),
inference(resolve,[$cnf( $equal(join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))),join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) )],[refute_0_6197,refute_0_6198]) ).
cnf(refute_0_6200,plain,
join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(top))),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))) )],[refute_0_6196,refute_0_6199]) ).
cnf(refute_0_6201,plain,
converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),bind(X_180,$fot(complement(top))),bind(X_4,$fot(one))]]) ).
cnf(refute_0_6202,plain,
( converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) != join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top))))
| join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) != join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))))),bind(Y,$fot(join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))))),bind(Z,$fot(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))))]]) ).
cnf(refute_0_6203,plain,
( join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))) != join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))),join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top))))) )],[refute_0_6201,refute_0_6202]) ).
cnf(refute_0_6204,plain,
converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),
inference(resolve,[$cnf( $equal(join(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))),converse(join(one,complement(top)))),join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))) )],[refute_0_6200,refute_0_6203]) ).
cnf(refute_0_6205,plain,
( converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) != join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))
| join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) != join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))))),bind(Y,$fot(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))))),bind(Z,$fot(join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))))]]) ).
cnf(refute_0_6206,plain,
( join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))) != join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))),join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))))) )],[refute_0_6204,refute_0_6205]) ).
cnf(refute_0_6207,plain,
converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(top)),join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21))))),join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))) )],[refute_0_6195,refute_0_6206]) ).
cnf(refute_0_6208,plain,
( converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))) != join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| top != converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top))))
| top = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top))))) ),[1],$fot(join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))))]]) ).
cnf(refute_0_6209,plain,
( top != converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top))))
| top = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top)))),join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))) )],[refute_0_6207,refute_0_6208]) ).
cnf(refute_0_6210,plain,
top = join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(resolve,[$cnf( $equal(top,converse(join(one,join(converse(join(X_21,complement(join(converse(converse(skolemFOFtoCNF_X0)),X_21)))),complement(top))))) )],[refute_0_6163,refute_0_6209]) ).
cnf(refute_0_6211,plain,
top = join(one,join(X_235,complement(join(skolemFOFtoCNF_X0,X_235)))),
inference(subst,[],[refute_0_6210:[bind(X_21,$fot(X_235))]]) ).
cnf(refute_0_6212,plain,
join(X_235,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_235),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_235)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6213,plain,
( join(X_235,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_235)
| join(skolemFOFtoCNF_X0,X_235) = join(X_235,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_235,skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,X_235)))]]) ).
cnf(refute_0_6214,plain,
join(skolemFOFtoCNF_X0,X_235) = join(X_235,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(X_235,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_235)) )],[refute_0_6212,refute_0_6213]) ).
cnf(refute_0_6215,plain,
( join(skolemFOFtoCNF_X0,X_235) != join(X_235,skolemFOFtoCNF_X0)
| top != join(one,join(X_235,complement(join(skolemFOFtoCNF_X0,X_235))))
| top = join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(X_235,complement(join(skolemFOFtoCNF_X0,X_235))))) ),[1,1,1,0],$fot(join(X_235,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6216,plain,
( top != join(one,join(X_235,complement(join(skolemFOFtoCNF_X0,X_235))))
| top = join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_235),join(X_235,skolemFOFtoCNF_X0)) )],[refute_0_6214,refute_0_6215]) ).
cnf(refute_0_6217,plain,
top = join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(one,join(X_235,complement(join(skolemFOFtoCNF_X0,X_235))))) )],[refute_0_6211,refute_0_6216]) ).
cnf(refute_0_6218,plain,
( top != join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))
| join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6219,plain,
join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) )],[refute_0_6217,refute_0_6218]) ).
cnf(refute_0_6220,plain,
( complement(one) != join(complement(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))
| join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) != top
| complement(one) = join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6221,plain,
( complement(one) != join(complement(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))
| complement(one) = join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))),top) )],[refute_0_6219,refute_0_6220]) ).
cnf(refute_0_6222,plain,
complement(one) = join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))) )],[refute_0_6156,refute_0_6221]) ).
cnf(refute_0_6223,plain,
join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6224,plain,
join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6225,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6226,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))) )],[refute_0_6224,refute_0_6225]) ).
cnf(refute_0_6227,plain,
join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6226]) ).
cnf(refute_0_6228,plain,
( join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) != join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) != meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6229,plain,
( join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) != meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))) )],[refute_0_6227,refute_0_6228]) ).
cnf(refute_0_6230,plain,
join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) )],[refute_0_6223,refute_0_6229]) ).
cnf(refute_0_6231,plain,
( complement(one) != join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) != meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6232,plain,
( complement(one) != join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) )],[refute_0_6230,refute_0_6231]) ).
cnf(refute_0_6233,plain,
complement(one) = meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))))) )],[refute_0_6222,refute_0_6232]) ).
cnf(refute_0_6234,plain,
complement(one) = meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6233:[bind(X_235,$fot(X_307))]]) ).
cnf(refute_0_6235,plain,
( complement(one) != meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))
| meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6236,plain,
meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))) )],[refute_0_6234,refute_0_6235]) ).
cnf(refute_0_6237,plain,
( join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) != join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))))
| meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) != complement(one)
| join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_6238,plain,
( join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) != join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))))
| join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_6236,refute_0_6237]) ).
cnf(refute_0_6239,plain,
join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)),
inference(resolve,[$cnf( $equal(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),meet(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))))) )],[refute_0_6155,refute_0_6238]) ).
cnf(refute_0_6240,plain,
join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)) = join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_6241,plain,
( join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) != join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one))
| join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)) != join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))
| join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))) ),[0],$fot(join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)))]]) ).
cnf(refute_0_6242,plain,
( join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) != join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one))
| join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one)),join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))) )],[refute_0_6240,refute_0_6241]) ).
cnf(refute_0_6243,plain,
join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) = join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),join(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),complement(one))) )],[refute_0_6239,refute_0_6242]) ).
cnf(refute_0_6244,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6243:[bind(X_307,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6245,plain,
join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566) = join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),
inference(subst,[],[refute_0_4507:[bind(X0,$fot(complement(one))),bind(X_21,$fot(X_566)),bind(X_22,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6246,plain,
join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(subst,[],[refute_0_2895:[bind(X_23,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6247,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),complement(one)) ),[0,1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6248,plain,
( join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_5107,refute_0_6247]) ).
cnf(refute_0_6249,plain,
join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_6246,refute_0_6248]) ).
cnf(refute_0_6250,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6251,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| converse(complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_6250]) ).
cnf(refute_0_6252,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_5107,refute_0_6251]) ).
cnf(refute_0_6253,plain,
composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6254,plain,
( composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6255,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6253,refute_0_6254]) ).
cnf(refute_0_6256,plain,
composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_6252,refute_0_6255]) ).
cnf(refute_0_6257,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_11,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6258,plain,
converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = composition(converse(X_12),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_3501:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X_5,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6259,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_45,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))),bind(X_46,$fot(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6260,plain,
zero = composition(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_3936:[bind(X0,$fot(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6261,plain,
( composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(skolemFOFtoCNF_X0,top))
| zero != composition(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| zero = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,0,0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6262,plain,
( zero != composition(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| zero = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5934,refute_0_6261]) ).
cnf(refute_0_6263,plain,
zero = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6260,refute_0_6262]) ).
cnf(refute_0_6264,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(X_313))),bind(X_270,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))]]) ).
cnf(refute_0_6265,plain,
complement(X_300) = join(complement(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(X_300)),bind(X_96,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))]]) ).
cnf(refute_0_6266,plain,
top = join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))))),
inference(subst,[],[refute_0_1565:[bind(X_21,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))]]) ).
cnf(refute_0_6267,plain,
join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) = join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(one)),bind(X_56,$fot(X_21)),bind(X_57,$fot(complement(join(skolemFOFtoCNF_X0,X_21))))]]) ).
cnf(refute_0_6268,plain,
( join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))) != join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21))))
| top != join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| top = join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))) ),[1],$fot(join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21)))))]]) ).
cnf(refute_0_6269,plain,
( top != join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))
| top = join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21)))),join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21))))) )],[refute_0_6267,refute_0_6268]) ).
cnf(refute_0_6270,plain,
top = join(X_21,join(one,complement(join(skolemFOFtoCNF_X0,X_21)))),
inference(resolve,[$cnf( $equal(top,join(one,join(X_21,complement(join(skolemFOFtoCNF_X0,X_21))))) )],[refute_0_6210,refute_0_6269]) ).
cnf(refute_0_6271,plain,
top = join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))),
inference(subst,[],[refute_0_6270:[bind(X_21,$fot(converse(X_22)))]]) ).
cnf(refute_0_6272,plain,
( top != join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))
| join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))]]) ).
cnf(refute_0_6273,plain,
join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) )],[refute_0_6271,refute_0_6272]) ).
cnf(refute_0_6274,plain,
( join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) != top
| top != join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))))
| top = join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_6275,plain,
( top != join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))))
| top = join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))),top) )],[refute_0_6273,refute_0_6274]) ).
cnf(refute_0_6276,plain,
top = join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(converse(X_22),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))))) )],[refute_0_6266,refute_0_6275]) ).
cnf(refute_0_6277,plain,
meet(top,join(skolemFOFtoCNF_X0,converse(X_22))) = join(skolemFOFtoCNF_X0,converse(X_22)),
inference(subst,[],[refute_0_253:[bind(X_97,$fot(join(skolemFOFtoCNF_X0,converse(X_22))))]]) ).
cnf(refute_0_6278,plain,
complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))))]]) ).
cnf(refute_0_6279,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) != complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22))))
| meet(top,join(skolemFOFtoCNF_X0,converse(X_22))) != join(skolemFOFtoCNF_X0,converse(X_22))
| complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(join(skolemFOFtoCNF_X0,converse(X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))),complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(X_22)))]]) ).
cnf(refute_0_6280,plain,
( meet(top,join(skolemFOFtoCNF_X0,converse(X_22))) != join(skolemFOFtoCNF_X0,converse(X_22))
| complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(join(skolemFOFtoCNF_X0,converse(X_22))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))),complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22))))) )],[refute_0_6278,refute_0_6279]) ).
cnf(refute_0_6281,plain,
complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(join(skolemFOFtoCNF_X0,converse(X_22))),
inference(resolve,[$cnf( $equal(meet(top,join(skolemFOFtoCNF_X0,converse(X_22))),join(skolemFOFtoCNF_X0,converse(X_22))) )],[refute_0_6277,refute_0_6280]) ).
cnf(refute_0_6282,plain,
join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(top)),bind(X1,$fot(join(skolemFOFtoCNF_X0,converse(X_22))))]]) ).
cnf(refute_0_6283,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) != complement(join(skolemFOFtoCNF_X0,converse(X_22)))
| join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) != complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22))))
| join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(join(skolemFOFtoCNF_X0,converse(X_22))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),bind(Y,$fot(complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0,converse(X_22)))))]]) ).
cnf(refute_0_6284,plain,
( complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))) != complement(join(skolemFOFtoCNF_X0,converse(X_22)))
| join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(join(skolemFOFtoCNF_X0,converse(X_22))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22))))) )],[refute_0_6282,refute_0_6283]) ).
cnf(refute_0_6285,plain,
join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) = complement(join(skolemFOFtoCNF_X0,converse(X_22))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) )],[refute_0_6281,refute_0_6284]) ).
cnf(refute_0_6286,plain,
join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) = join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))))]]) ).
cnf(refute_0_6287,plain,
( join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) != complement(join(skolemFOFtoCNF_X0,converse(X_22)))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) != join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,converse(X_22))))]]) ).
cnf(refute_0_6288,plain,
( join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) != complement(join(skolemFOFtoCNF_X0,converse(X_22)))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))),join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) )],[refute_0_6286,refute_0_6287]) ).
cnf(refute_0_6289,plain,
join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(join(skolemFOFtoCNF_X0,converse(X_22)))) )],[refute_0_6285,refute_0_6288]) ).
cnf(refute_0_6290,plain,
converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))]]) ).
cnf(refute_0_6291,plain,
( converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))))
| join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))
| converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) ),[1,0],$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))]]) ).
cnf(refute_0_6292,plain,
( join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))
| converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) )],[refute_0_6290,refute_0_6291]) ).
cnf(refute_0_6293,plain,
converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) )],[refute_0_6289,refute_0_6292]) ).
cnf(refute_0_6294,plain,
converse(join(X0,join(X_257,X_258))) = join(converse(X0),converse(join(X_257,X_258))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(join(X_257,X_258)))]]) ).
cnf(refute_0_6295,plain,
join(X0,join(X_257,X_258)) = join(X_257,join(X0,X_258)),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(X0)),bind(X_56,$fot(X_257)),bind(X_57,$fot(X_258))]]) ).
cnf(refute_0_6296,plain,
( converse(join(X0,join(X_257,X_258))) != join(converse(X0),converse(join(X_257,X_258)))
| join(X0,join(X_257,X_258)) != join(X_257,join(X0,X_258))
| converse(join(X_257,join(X0,X_258))) = join(converse(X0),converse(join(X_257,X_258))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_257,X_258))),join(converse(X0),converse(join(X_257,X_258)))) ),[0,0],$fot(join(X_257,join(X0,X_258)))]]) ).
cnf(refute_0_6297,plain,
( converse(join(X0,join(X_257,X_258))) != join(converse(X0),converse(join(X_257,X_258)))
| converse(join(X_257,join(X0,X_258))) = join(converse(X0),converse(join(X_257,X_258))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_257,X_258)),join(X_257,join(X0,X_258))) )],[refute_0_6295,refute_0_6296]) ).
cnf(refute_0_6298,plain,
converse(join(X_257,join(X0,X_258))) = join(converse(X0),converse(join(X_257,X_258))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_257,X_258))),join(converse(X0),converse(join(X_257,X_258)))) )],[refute_0_6294,refute_0_6297]) ).
cnf(refute_0_6299,plain,
join(converse(X0),converse(join(X_257,X_258))) = converse(join(X0,join(X_257,X_258))),
inference(subst,[],[refute_0_308:[bind(X1,$fot(join(X_257,X_258)))]]) ).
cnf(refute_0_6300,plain,
( converse(join(X_257,join(X0,X_258))) != join(converse(X0),converse(join(X_257,X_258)))
| join(converse(X0),converse(join(X_257,X_258))) != converse(join(X0,join(X_257,X_258)))
| converse(join(X_257,join(X0,X_258))) = converse(join(X0,join(X_257,X_258))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_257,join(X0,X_258))),converse(join(X0,join(X_257,X_258)))) ),[0],$fot(join(converse(X0),converse(join(X_257,X_258))))]]) ).
cnf(refute_0_6301,plain,
( converse(join(X_257,join(X0,X_258))) != join(converse(X0),converse(join(X_257,X_258)))
| converse(join(X_257,join(X0,X_258))) = converse(join(X0,join(X_257,X_258))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_257,X_258))),converse(join(X0,join(X_257,X_258)))) )],[refute_0_6299,refute_0_6300]) ).
cnf(refute_0_6302,plain,
converse(join(X_257,join(X0,X_258))) = converse(join(X0,join(X_257,X_258))),
inference(resolve,[$cnf( $equal(converse(join(X_257,join(X0,X_258))),join(converse(X0),converse(join(X_257,X_258)))) )],[refute_0_6298,refute_0_6301]) ).
cnf(refute_0_6303,plain,
( converse(join(X_257,join(X0,X_258))) != converse(join(X0,join(X_257,X_258)))
| converse(join(X0,join(X_257,X_258))) = converse(join(X_257,join(X0,X_258))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_257,join(X0,X_258))))),bind(Y,$fot(converse(join(X0,join(X_257,X_258)))))]]) ).
cnf(refute_0_6304,plain,
converse(join(X0,join(X_257,X_258))) = converse(join(X_257,join(X0,X_258))),
inference(resolve,[$cnf( $equal(converse(join(X_257,join(X0,X_258))),converse(join(X0,join(X_257,X_258)))) )],[refute_0_6302,refute_0_6303]) ).
cnf(refute_0_6305,plain,
converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),
inference(subst,[],[refute_0_6304:[bind(X0,$fot(complement(top))),bind(X_257,$fot(one)),bind(X_258,$fot(complement(join(skolemFOFtoCNF_X0,converse(X_22)))))]]) ).
cnf(refute_0_6306,plain,
( converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) != converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))))
| converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))
| converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))),bind(Y,$fot(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))),bind(Z,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))]]) ).
cnf(refute_0_6307,plain,
( converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))
| converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) )],[refute_0_6305,refute_0_6306]) ).
cnf(refute_0_6308,plain,
converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(top),complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) )],[refute_0_6293,refute_0_6307]) ).
cnf(refute_0_6309,plain,
join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) = join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))),
introduced(tautology,[refl,[$fot(join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))))]]) ).
cnf(refute_0_6310,plain,
( converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))
| join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) != join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))
| join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))),join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))) ),[1,1],$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))]]) ).
cnf(refute_0_6311,plain,
( converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))
| join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))),join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))) )],[refute_0_6309,refute_0_6310]) ).
cnf(refute_0_6312,plain,
join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) )],[refute_0_6308,refute_0_6311]) ).
cnf(refute_0_6313,plain,
converse(join(converse(X0),join(X_19,X_20))) = join(X0,converse(join(X_19,X_20))),
inference(subst,[],[refute_0_272:[bind(X_5,$fot(join(X_19,X_20)))]]) ).
cnf(refute_0_6314,plain,
( converse(join(X_19,X_20)) != converse(join(X_20,X_19))
| converse(join(converse(X0),join(X_19,X_20))) != join(X0,converse(join(X_19,X_20)))
| converse(join(converse(X0),join(X_19,X_20))) = join(X0,converse(join(X_20,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_19,X_20))),join(X0,converse(join(X_19,X_20)))) ),[1,1],$fot(converse(join(X_20,X_19)))]]) ).
cnf(refute_0_6315,plain,
( converse(join(converse(X0),join(X_19,X_20))) != join(X0,converse(join(X_19,X_20)))
| converse(join(converse(X0),join(X_19,X_20))) = join(X0,converse(join(X_20,X_19))) ),
inference(resolve,[$cnf( $equal(converse(join(X_19,X_20)),converse(join(X_20,X_19))) )],[refute_0_322,refute_0_6314]) ).
cnf(refute_0_6316,plain,
converse(join(converse(X0),join(X_19,X_20))) = join(X0,converse(join(X_20,X_19))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_19,X_20))),join(X0,converse(join(X_19,X_20)))) )],[refute_0_6313,refute_0_6315]) ).
cnf(refute_0_6317,plain,
( converse(join(converse(X0),join(X_19,X_20))) != join(X0,converse(join(X_19,X_20)))
| converse(join(converse(X0),join(X_19,X_20))) != join(X0,converse(join(X_20,X_19)))
| join(X0,converse(join(X_19,X_20))) = join(X0,converse(join(X_20,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_19,X_20))),join(X0,converse(join(X_20,X_19)))) ),[0],$fot(join(X0,converse(join(X_19,X_20))))]]) ).
cnf(refute_0_6318,plain,
( converse(join(converse(X0),join(X_19,X_20))) != join(X0,converse(join(X_20,X_19)))
| join(X0,converse(join(X_19,X_20))) = join(X0,converse(join(X_20,X_19))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_19,X_20))),join(X0,converse(join(X_19,X_20)))) )],[refute_0_6313,refute_0_6317]) ).
cnf(refute_0_6319,plain,
join(X0,converse(join(X_19,X_20))) = join(X0,converse(join(X_20,X_19))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_19,X_20))),join(X0,converse(join(X_20,X_19)))) )],[refute_0_6316,refute_0_6318]) ).
cnf(refute_0_6320,plain,
( join(X0,converse(join(X_19,X_20))) != join(X0,converse(join(X_20,X_19)))
| join(X0,converse(join(X_20,X_19))) = join(X0,converse(join(X_19,X_20))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,converse(join(X_19,X_20))))),bind(Y,$fot(join(X0,converse(join(X_20,X_19)))))]]) ).
cnf(refute_0_6321,plain,
join(X0,converse(join(X_20,X_19))) = join(X0,converse(join(X_19,X_20))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_19,X_20))),join(X0,converse(join(X_20,X_19)))) )],[refute_0_6319,refute_0_6320]) ).
cnf(refute_0_6322,plain,
join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) = join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))),
inference(subst,[],[refute_0_6321:[bind(X0,$fot(X_22)),bind(X_19,$fot(complement(top))),bind(X_20,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))]]) ).
cnf(refute_0_6323,plain,
( join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) != join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))
| join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) != join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))
| join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))))),bind(Y,$fot(join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))))),bind(Z,$fot(join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))))]]) ).
cnf(refute_0_6324,plain,
( join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) != join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))
| join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))),join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))) )],[refute_0_6322,refute_0_6323]) ).
cnf(refute_0_6325,plain,
join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(complement(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))),join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) )],[refute_0_6312,refute_0_6324]) ).
cnf(refute_0_6326,plain,
( join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))) != join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))
| top != join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top))))
| top = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top))))) ),[1],$fot(join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))))]]) ).
cnf(refute_0_6327,plain,
( top != join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top))))
| top = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))) ),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top)))),join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22))))))) )],[refute_0_6325,refute_0_6326]) ).
cnf(refute_0_6328,plain,
top = join(X_22,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))))),
inference(resolve,[$cnf( $equal(top,join(X_22,converse(join(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_22)))),complement(top))))) )],[refute_0_6276,refute_0_6327]) ).
cnf(refute_0_6329,plain,
top = join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))),
inference(subst,[],[refute_0_6328:[bind(X_22,$fot(X_300))]]) ).
cnf(refute_0_6330,plain,
( top != join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))
| join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))]]) ).
cnf(refute_0_6331,plain,
join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) )],[refute_0_6329,refute_0_6330]) ).
cnf(refute_0_6332,plain,
( complement(X_300) != join(complement(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))
| join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) != top
| complement(X_300) = join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_300),join(complement(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6333,plain,
( complement(X_300) != join(complement(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))
| complement(X_300) = join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) ),
inference(resolve,[$cnf( $equal(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))),top) )],[refute_0_6331,refute_0_6332]) ).
cnf(refute_0_6334,plain,
complement(X_300) = join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(join(X_300,converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))) )],[refute_0_6265,refute_0_6333]) ).
cnf(refute_0_6335,plain,
join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))]]) ).
cnf(refute_0_6336,plain,
join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))]]) ).
cnf(refute_0_6337,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) != join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6338,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))) )],[refute_0_6336,refute_0_6337]) ).
cnf(refute_0_6339,plain,
join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6338]) ).
cnf(refute_0_6340,plain,
( join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) != join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))
| join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) != meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))),bind(Y,$fot(join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))),bind(Z,$fot(meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))]]) ).
cnf(refute_0_6341,plain,
( join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) != meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))) )],[refute_0_6339,refute_0_6340]) ).
cnf(refute_0_6342,plain,
join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) )],[refute_0_6335,refute_0_6341]) ).
cnf(refute_0_6343,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) != meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))
| complement(X_300) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_300),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) ),[0],$fot(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))))]]) ).
cnf(refute_0_6344,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))
| complement(X_300) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300))))))) )],[refute_0_6342,refute_0_6343]) ).
cnf(refute_0_6345,plain,
complement(X_300) = meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(top),meet(complement(X_300),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_300)))))))) )],[refute_0_6334,refute_0_6344]) ).
cnf(refute_0_6346,plain,
complement(X_313) = meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),
inference(subst,[],[refute_0_6345:[bind(X_300,$fot(X_313))]]) ).
cnf(refute_0_6347,plain,
( complement(X_313) != meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = complement(X_313) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_313))),bind(Y,$fot(meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))))]]) ).
cnf(refute_0_6348,plain,
meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = complement(X_313),
inference(resolve,[$cnf( $equal(complement(X_313),meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) )],[refute_0_6346,refute_0_6347]) ).
cnf(refute_0_6349,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))
| meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != complement(X_313)
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))) ),[1,1],$fot(complement(X_313))]]) ).
cnf(refute_0_6350,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),complement(X_313)) )],[refute_0_6348,refute_0_6349]) ).
cnf(refute_0_6351,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),meet(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))) )],[refute_0_6264,refute_0_6350]) ).
cnf(refute_0_6352,plain,
( X_171 != meet(X_171,join(X1,X_171))
| meet(X_171,join(X1,X_171)) = X_171 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_171)),bind(Y,$fot(meet(X_171,join(X1,X_171))))]]) ).
cnf(refute_0_6353,plain,
meet(X_171,join(X1,X_171)) = X_171,
inference(resolve,[$cnf( $equal(X_171,meet(X_171,join(X1,X_171))) )],[refute_0_6145,refute_0_6352]) ).
cnf(refute_0_6354,plain,
meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)) = X_313,
inference(subst,[],[refute_0_6353:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_171,$fot(X_313))]]) ).
cnf(refute_0_6355,plain,
complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) = complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))),
introduced(tautology,[refl,[$fot(complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))))]]) ).
cnf(refute_0_6356,plain,
( complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) != complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)))
| meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)) != X_313
| complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) = complement(X_313) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))),complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)))) ),[1,0],$fot(X_313)]]) ).
cnf(refute_0_6357,plain,
( meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)) != X_313
| complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) = complement(X_313) ),
inference(resolve,[$cnf( $equal(complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))),complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)))) )],[refute_0_6355,refute_0_6356]) ).
cnf(refute_0_6358,plain,
complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) = complement(X_313),
inference(resolve,[$cnf( $equal(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)),X_313) )],[refute_0_6354,refute_0_6357]) ).
cnf(refute_0_6359,plain,
join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) = complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(X_313)),bind(X1,$fot(join(converse(skolemFOFtoCNF_X0),X_313)))]]) ).
cnf(refute_0_6360,plain,
( complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) != complement(X_313)
| join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) != complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)))
| join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) = complement(X_313) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))))),bind(Y,$fot(complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))))),bind(Z,$fot(complement(X_313)))]]) ).
cnf(refute_0_6361,plain,
( complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))) != complement(X_313)
| join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) = complement(X_313) ),
inference(resolve,[$cnf( $equal(join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))),complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313)))) )],[refute_0_6359,refute_0_6360]) ).
cnf(refute_0_6362,plain,
join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) = complement(X_313),
inference(resolve,[$cnf( $equal(complement(meet(X_313,join(converse(skolemFOFtoCNF_X0),X_313))),complement(X_313)) )],[refute_0_6358,refute_0_6361]) ).
cnf(refute_0_6363,plain,
converse(join(skolemFOFtoCNF_X0,converse(X_313))) = join(converse(skolemFOFtoCNF_X0),X_313),
inference(subst,[],[refute_0_400:[bind(X0,$fot(X_313)),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6364,plain,
complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))),
introduced(tautology,[refl,[$fot(complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))))]]) ).
cnf(refute_0_6365,plain,
( complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) != complement(converse(join(skolemFOFtoCNF_X0,converse(X_313))))
| converse(join(skolemFOFtoCNF_X0,converse(X_313))) != join(converse(skolemFOFtoCNF_X0),X_313)
| complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(join(converse(skolemFOFtoCNF_X0),X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(converse(join(skolemFOFtoCNF_X0,converse(X_313))))) ),[1,0],$fot(join(converse(skolemFOFtoCNF_X0),X_313))]]) ).
cnf(refute_0_6366,plain,
( converse(join(skolemFOFtoCNF_X0,converse(X_313))) != join(converse(skolemFOFtoCNF_X0),X_313)
| complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(join(converse(skolemFOFtoCNF_X0),X_313)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(converse(join(skolemFOFtoCNF_X0,converse(X_313))))) )],[refute_0_6364,refute_0_6365]) ).
cnf(refute_0_6367,plain,
complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(join(converse(skolemFOFtoCNF_X0),X_313)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(X_313))),join(converse(skolemFOFtoCNF_X0),X_313)) )],[refute_0_6363,refute_0_6366]) ).
cnf(refute_0_6368,plain,
converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(join(skolemFOFtoCNF_X0,converse(X_313))))]]) ).
cnf(refute_0_6369,plain,
( complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) != complement(join(converse(skolemFOFtoCNF_X0),X_313))
| converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) != complement(converse(join(skolemFOFtoCNF_X0,converse(X_313))))
| converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(join(converse(skolemFOFtoCNF_X0),X_313)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),bind(Y,$fot(complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))))),bind(Z,$fot(complement(join(converse(skolemFOFtoCNF_X0),X_313))))]]) ).
cnf(refute_0_6370,plain,
( complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))) != complement(join(converse(skolemFOFtoCNF_X0),X_313))
| converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(join(converse(skolemFOFtoCNF_X0),X_313)) ),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(converse(join(skolemFOFtoCNF_X0,converse(X_313))))) )],[refute_0_6368,refute_0_6369]) ).
cnf(refute_0_6371,plain,
converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) = complement(join(converse(skolemFOFtoCNF_X0),X_313)),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(join(converse(skolemFOFtoCNF_X0),X_313))) )],[refute_0_6367,refute_0_6370]) ).
cnf(refute_0_6372,plain,
join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))),
introduced(tautology,[refl,[$fot(join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))]]) ).
cnf(refute_0_6373,plain,
( converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) != complement(join(converse(skolemFOFtoCNF_X0),X_313))
| join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))
| join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) ),[1,1],$fot(complement(join(converse(skolemFOFtoCNF_X0),X_313)))]]) ).
cnf(refute_0_6374,plain,
( converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))) != complement(join(converse(skolemFOFtoCNF_X0),X_313))
| join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) ),
inference(resolve,[$cnf( $equal(join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) )],[refute_0_6372,refute_0_6373]) ).
cnf(refute_0_6375,plain,
join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(join(converse(skolemFOFtoCNF_X0),X_313))) )],[refute_0_6371,refute_0_6374]) ).
cnf(refute_0_6376,plain,
( join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) != complement(X_313)
| join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313)))
| join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = complement(X_313) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))),bind(Y,$fot(join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))))),bind(Z,$fot(complement(X_313)))]]) ).
cnf(refute_0_6377,plain,
( join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))) != complement(X_313)
| join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = complement(X_313) ),
inference(resolve,[$cnf( $equal(join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313)))) )],[refute_0_6375,refute_0_6376]) ).
cnf(refute_0_6378,plain,
join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = complement(X_313),
inference(resolve,[$cnf( $equal(join(complement(X_313),complement(join(converse(skolemFOFtoCNF_X0),X_313))),complement(X_313)) )],[refute_0_6362,refute_0_6377]) ).
cnf(refute_0_6379,plain,
join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))]]) ).
cnf(refute_0_6380,plain,
( join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != complement(X_313)
| join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,complement(X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) ),[1,1],$fot(complement(X_313))]]) ).
cnf(refute_0_6381,plain,
( join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != complement(X_313)
| join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,complement(X_313)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) )],[refute_0_6379,refute_0_6380]) ).
cnf(refute_0_6382,plain,
join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,complement(X_313)),
inference(resolve,[$cnf( $equal(join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) )],[refute_0_6378,refute_0_6381]) ).
cnf(refute_0_6383,plain,
converse(converse(join(one,join(X_289,X_288)))) = join(one,join(X_289,X_288)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,join(X_289,X_288))))]]) ).
cnf(refute_0_6384,plain,
join(one,converse(join(X_285,X_284))) = join(converse(X_285),join(one,converse(X_284))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(X_284)),bind(X_6,$fot(X_285)),bind(X_7,$fot(one))]]) ).
cnf(refute_0_6385,plain,
converse(join(one,join(X_285,X_284))) = join(one,converse(join(X_285,X_284))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(join(X_285,X_284)))]]) ).
cnf(refute_0_6386,plain,
( converse(join(one,join(X_285,X_284))) != join(one,converse(join(X_285,X_284)))
| join(one,converse(join(X_285,X_284))) = converse(join(one,join(X_285,X_284))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,join(X_285,X_284))))),bind(Y,$fot(join(one,converse(join(X_285,X_284)))))]]) ).
cnf(refute_0_6387,plain,
join(one,converse(join(X_285,X_284))) = converse(join(one,join(X_285,X_284))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_285,X_284))),join(one,converse(join(X_285,X_284)))) )],[refute_0_6385,refute_0_6386]) ).
cnf(refute_0_6388,plain,
( join(one,converse(join(X_285,X_284))) != converse(join(one,join(X_285,X_284)))
| join(one,converse(join(X_285,X_284))) != join(converse(X_285),join(one,converse(X_284)))
| converse(join(one,join(X_285,X_284))) = join(converse(X_285),join(one,converse(X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(join(X_285,X_284))),join(converse(X_285),join(one,converse(X_284)))) ),[0],$fot(converse(join(one,join(X_285,X_284))))]]) ).
cnf(refute_0_6389,plain,
( join(one,converse(join(X_285,X_284))) != join(converse(X_285),join(one,converse(X_284)))
| converse(join(one,join(X_285,X_284))) = join(converse(X_285),join(one,converse(X_284))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_285,X_284))),converse(join(one,join(X_285,X_284)))) )],[refute_0_6387,refute_0_6388]) ).
cnf(refute_0_6390,plain,
converse(join(one,join(X_285,X_284))) = join(converse(X_285),join(one,converse(X_284))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_285,X_284))),join(converse(X_285),join(one,converse(X_284)))) )],[refute_0_6384,refute_0_6389]) ).
cnf(refute_0_6391,plain,
join(one,converse(join(X_284,X_285))) = converse(join(one,join(X_284,X_285))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(X_284,X_285)))]]) ).
cnf(refute_0_6392,plain,
join(one,join(converse(X_284),converse(X_285))) = join(one,join(converse(X_284),converse(X_285))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_284),converse(X_285))))]]) ).
cnf(refute_0_6393,plain,
( join(converse(X_284),converse(X_285)) != converse(join(X_284,X_285))
| join(one,join(converse(X_284),converse(X_285))) != join(one,join(converse(X_284),converse(X_285)))
| join(one,join(converse(X_284),converse(X_285))) = join(one,converse(join(X_284,X_285))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_284),converse(X_285))),join(one,join(converse(X_284),converse(X_285)))) ),[1,1],$fot(converse(join(X_284,X_285)))]]) ).
cnf(refute_0_6394,plain,
( join(converse(X_284),converse(X_285)) != converse(join(X_284,X_285))
| join(one,join(converse(X_284),converse(X_285))) = join(one,converse(join(X_284,X_285))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),converse(X_285))),join(one,join(converse(X_284),converse(X_285)))) )],[refute_0_6392,refute_0_6393]) ).
cnf(refute_0_6395,plain,
join(one,join(converse(X_284),converse(X_285))) = join(one,converse(join(X_284,X_285))),
inference(resolve,[$cnf( $equal(join(converse(X_284),converse(X_285)),converse(join(X_284,X_285))) )],[refute_0_4870,refute_0_6394]) ).
cnf(refute_0_6396,plain,
( join(one,converse(join(X_284,X_285))) != converse(join(one,join(X_284,X_285)))
| join(one,join(converse(X_284),converse(X_285))) != join(one,converse(join(X_284,X_285)))
| join(one,join(converse(X_284),converse(X_285))) = converse(join(one,join(X_284,X_285))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_284),converse(X_285))))),bind(Y,$fot(join(one,converse(join(X_284,X_285))))),bind(Z,$fot(converse(join(one,join(X_284,X_285)))))]]) ).
cnf(refute_0_6397,plain,
( join(one,converse(join(X_284,X_285))) != converse(join(one,join(X_284,X_285)))
| join(one,join(converse(X_284),converse(X_285))) = converse(join(one,join(X_284,X_285))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),converse(X_285))),join(one,converse(join(X_284,X_285)))) )],[refute_0_6395,refute_0_6396]) ).
cnf(refute_0_6398,plain,
join(one,join(converse(X_284),converse(X_285))) = converse(join(one,join(X_284,X_285))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_284,X_285))),converse(join(one,join(X_284,X_285)))) )],[refute_0_6391,refute_0_6397]) ).
cnf(refute_0_6399,plain,
join(converse(X_285),join(one,converse(X_284))) = join(one,join(converse(X_284),converse(X_285))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(one)),bind(X_257,$fot(converse(X_285))),bind(X_258,$fot(converse(X_284)))]]) ).
cnf(refute_0_6400,plain,
( join(converse(X_285),join(one,converse(X_284))) != join(one,join(converse(X_284),converse(X_285)))
| join(one,join(converse(X_284),converse(X_285))) != converse(join(one,join(X_284,X_285)))
| join(converse(X_285),join(one,converse(X_284))) = converse(join(one,join(X_284,X_285))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_285),join(one,converse(X_284))))),bind(Y,$fot(join(one,join(converse(X_284),converse(X_285))))),bind(Z,$fot(converse(join(one,join(X_284,X_285)))))]]) ).
cnf(refute_0_6401,plain,
( join(one,join(converse(X_284),converse(X_285))) != converse(join(one,join(X_284,X_285)))
| join(converse(X_285),join(one,converse(X_284))) = converse(join(one,join(X_284,X_285))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(one,converse(X_284))),join(one,join(converse(X_284),converse(X_285)))) )],[refute_0_6399,refute_0_6400]) ).
cnf(refute_0_6402,plain,
join(converse(X_285),join(one,converse(X_284))) = converse(join(one,join(X_284,X_285))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),converse(X_285))),converse(join(one,join(X_284,X_285)))) )],[refute_0_6398,refute_0_6401]) ).
cnf(refute_0_6403,plain,
( converse(join(one,join(X_285,X_284))) != join(converse(X_285),join(one,converse(X_284)))
| join(converse(X_285),join(one,converse(X_284))) != converse(join(one,join(X_284,X_285)))
| converse(join(one,join(X_285,X_284))) = converse(join(one,join(X_284,X_285))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(X_285,X_284))),converse(join(one,join(X_284,X_285)))) ),[0],$fot(join(converse(X_285),join(one,converse(X_284))))]]) ).
cnf(refute_0_6404,plain,
( converse(join(one,join(X_285,X_284))) != join(converse(X_285),join(one,converse(X_284)))
| converse(join(one,join(X_285,X_284))) = converse(join(one,join(X_284,X_285))) ),
inference(resolve,[$cnf( $equal(join(converse(X_285),join(one,converse(X_284))),converse(join(one,join(X_284,X_285)))) )],[refute_0_6402,refute_0_6403]) ).
cnf(refute_0_6405,plain,
converse(join(one,join(X_285,X_284))) = converse(join(one,join(X_284,X_285))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_285,X_284))),join(converse(X_285),join(one,converse(X_284)))) )],[refute_0_6390,refute_0_6404]) ).
cnf(refute_0_6406,plain,
converse(join(one,join(X_289,X_288))) = converse(join(one,join(X_288,X_289))),
inference(subst,[],[refute_0_6405:[bind(X_284,$fot(X_288)),bind(X_285,$fot(X_289))]]) ).
cnf(refute_0_6407,plain,
( converse(converse(join(one,join(X_289,X_288)))) != join(one,join(X_289,X_288))
| converse(join(one,join(X_289,X_288))) != converse(join(one,join(X_288,X_289)))
| converse(converse(join(one,join(X_288,X_289)))) = join(one,join(X_289,X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(X_289,X_288)))),join(one,join(X_289,X_288))) ),[0,0],$fot(converse(join(one,join(X_288,X_289))))]]) ).
cnf(refute_0_6408,plain,
( converse(converse(join(one,join(X_289,X_288)))) != join(one,join(X_289,X_288))
| converse(converse(join(one,join(X_288,X_289)))) = join(one,join(X_289,X_288)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_289,X_288))),converse(join(one,join(X_288,X_289)))) )],[refute_0_6406,refute_0_6407]) ).
cnf(refute_0_6409,plain,
converse(converse(join(one,join(X_288,X_289)))) = join(one,join(X_289,X_288)),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(X_289,X_288)))),join(one,join(X_289,X_288))) )],[refute_0_6383,refute_0_6408]) ).
cnf(refute_0_6410,plain,
converse(converse(join(one,join(X_288,X_289)))) = join(one,join(X_288,X_289)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,join(X_288,X_289))))]]) ).
cnf(refute_0_6411,plain,
( converse(converse(join(one,join(X_288,X_289)))) != join(one,join(X_288,X_289))
| converse(converse(join(one,join(X_288,X_289)))) != join(one,join(X_289,X_288))
| join(one,join(X_288,X_289)) = join(one,join(X_289,X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(X_288,X_289)))),join(one,join(X_289,X_288))) ),[0],$fot(join(one,join(X_288,X_289)))]]) ).
cnf(refute_0_6412,plain,
( converse(converse(join(one,join(X_288,X_289)))) != join(one,join(X_289,X_288))
| join(one,join(X_288,X_289)) = join(one,join(X_289,X_288)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(X_288,X_289)))),join(one,join(X_288,X_289))) )],[refute_0_6410,refute_0_6411]) ).
cnf(refute_0_6413,plain,
join(one,join(X_288,X_289)) = join(one,join(X_289,X_288)),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(X_288,X_289)))),join(one,join(X_289,X_288))) )],[refute_0_6409,refute_0_6412]) ).
cnf(refute_0_6414,plain,
( join(one,join(X_288,X_289)) != join(one,join(X_289,X_288))
| join(one,join(X_289,X_288)) = join(one,join(X_288,X_289)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(X_288,X_289)))),bind(Y,$fot(join(one,join(X_289,X_288))))]]) ).
cnf(refute_0_6415,plain,
join(one,join(X_289,X_288)) = join(one,join(X_288,X_289)),
inference(resolve,[$cnf( $equal(join(one,join(X_288,X_289)),join(one,join(X_289,X_288))) )],[refute_0_6413,refute_0_6414]) ).
cnf(refute_0_6416,plain,
join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313))) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),
inference(subst,[],[refute_0_6415:[bind(X_288,$fot(complement(X_313))),bind(X_289,$fot(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))]]) ).
cnf(refute_0_6417,plain,
converse(join(one,join(converse(join(X_290,one)),X_284))) = converse(join(one,join(X_284,converse(join(X_290,one))))),
inference(subst,[],[refute_0_6405:[bind(X_285,$fot(converse(join(X_290,one))))]]) ).
cnf(refute_0_6418,plain,
join(X_284,converse(join(X_290,one))) = join(one,join(converse(X_290),X_284)),
inference(subst,[],[refute_0_4753:[bind(X_285,$fot(X_290)),bind(X_286,$fot(X_284))]]) ).
cnf(refute_0_6419,plain,
( converse(join(one,join(converse(join(X_290,one)),X_284))) != converse(join(one,join(X_284,converse(join(X_290,one)))))
| join(X_284,converse(join(X_290,one))) != join(one,join(converse(X_290),X_284))
| converse(join(one,join(converse(join(X_290,one)),X_284))) = converse(join(one,join(one,join(converse(X_290),X_284)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(join(X_290,one)),X_284))),converse(join(one,join(X_284,converse(join(X_290,one)))))) ),[1,0,1],$fot(join(one,join(converse(X_290),X_284)))]]) ).
cnf(refute_0_6420,plain,
( converse(join(one,join(converse(join(X_290,one)),X_284))) != converse(join(one,join(X_284,converse(join(X_290,one)))))
| converse(join(one,join(converse(join(X_290,one)),X_284))) = converse(join(one,join(one,join(converse(X_290),X_284)))) ),
inference(resolve,[$cnf( $equal(join(X_284,converse(join(X_290,one))),join(one,join(converse(X_290),X_284))) )],[refute_0_6418,refute_0_6419]) ).
cnf(refute_0_6421,plain,
converse(join(one,join(converse(join(X_290,one)),X_284))) = converse(join(one,join(one,join(converse(X_290),X_284)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_290,one)),X_284))),converse(join(one,join(X_284,converse(join(X_290,one)))))) )],[refute_0_6417,refute_0_6420]) ).
cnf(refute_0_6422,plain,
join(converse(X_284),join(X_290,one)) = join(one,join(converse(X_284),X_290)),
inference(subst,[],[refute_0_2010:[bind(X_256,$fot(converse(X_284))),bind(X_257,$fot(one)),bind(X_258,$fot(X_290))]]) ).
cnf(refute_0_6423,plain,
join(one,join(converse(X_284),join(X_290,one))) = join(converse(X_284),join(X_290,one)),
inference(subst,[],[refute_0_4689:[bind(X_261,$fot(X_290)),bind(X_55,$fot(one)),bind(X_56,$fot(converse(X_284)))]]) ).
cnf(refute_0_6424,plain,
( join(converse(X_284),join(X_290,one)) != join(one,join(converse(X_284),X_290))
| join(one,join(converse(X_284),join(X_290,one))) != join(converse(X_284),join(X_290,one))
| join(one,join(converse(X_284),join(X_290,one))) = join(one,join(converse(X_284),X_290)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_284),join(X_290,one))))),bind(Y,$fot(join(converse(X_284),join(X_290,one)))),bind(Z,$fot(join(one,join(converse(X_284),X_290))))]]) ).
cnf(refute_0_6425,plain,
( join(converse(X_284),join(X_290,one)) != join(one,join(converse(X_284),X_290))
| join(one,join(converse(X_284),join(X_290,one))) = join(one,join(converse(X_284),X_290)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),join(X_290,one))),join(converse(X_284),join(X_290,one))) )],[refute_0_6423,refute_0_6424]) ).
cnf(refute_0_6426,plain,
join(one,join(converse(X_284),join(X_290,one))) = join(one,join(converse(X_284),X_290)),
inference(resolve,[$cnf( $equal(join(converse(X_284),join(X_290,one)),join(one,join(converse(X_284),X_290))) )],[refute_0_6422,refute_0_6425]) ).
cnf(refute_0_6427,plain,
converse(join(one,join(X_289,converse(X_5)))) = converse(join(one,join(converse(X_5),X_289))),
inference(subst,[],[refute_0_6405:[bind(X_284,$fot(converse(X_5))),bind(X_285,$fot(X_289))]]) ).
cnf(refute_0_6428,plain,
join(X_289,join(one,converse(X_5))) = join(one,join(X_289,converse(X_5))),
inference(subst,[],[refute_0_372:[bind(X_19,$fot(one)),bind(X_20,$fot(X_289))]]) ).
cnf(refute_0_6429,plain,
( join(X_289,join(one,converse(X_5))) != join(one,join(X_289,converse(X_5)))
| join(one,join(X_289,converse(X_5))) = join(X_289,join(one,converse(X_5))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_289,join(one,converse(X_5))))),bind(Y,$fot(join(one,join(X_289,converse(X_5)))))]]) ).
cnf(refute_0_6430,plain,
join(one,join(X_289,converse(X_5))) = join(X_289,join(one,converse(X_5))),
inference(resolve,[$cnf( $equal(join(X_289,join(one,converse(X_5))),join(one,join(X_289,converse(X_5)))) )],[refute_0_6428,refute_0_6429]) ).
cnf(refute_0_6431,plain,
( converse(join(one,join(X_289,converse(X_5)))) != converse(join(one,join(converse(X_5),X_289)))
| join(one,join(X_289,converse(X_5))) != join(X_289,join(one,converse(X_5)))
| converse(join(X_289,join(one,converse(X_5)))) = converse(join(one,join(converse(X_5),X_289))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_289,converse(X_5)))),converse(join(one,join(converse(X_5),X_289)))) ),[0,0],$fot(join(X_289,join(one,converse(X_5))))]]) ).
cnf(refute_0_6432,plain,
( converse(join(one,join(X_289,converse(X_5)))) != converse(join(one,join(converse(X_5),X_289)))
| converse(join(X_289,join(one,converse(X_5)))) = converse(join(one,join(converse(X_5),X_289))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_289,converse(X_5))),join(X_289,join(one,converse(X_5)))) )],[refute_0_6430,refute_0_6431]) ).
cnf(refute_0_6433,plain,
converse(join(X_289,join(one,converse(X_5)))) = converse(join(one,join(converse(X_5),X_289))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_289,converse(X_5)))),converse(join(one,join(converse(X_5),X_289)))) )],[refute_0_6427,refute_0_6432]) ).
cnf(refute_0_6434,plain,
converse(join(one,join(X_178,converse(X_180)))) = join(one,converse(join(X_178,converse(X_180)))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(join(X_178,converse(X_180))))]]) ).
cnf(refute_0_6435,plain,
join(one,join(X_178,converse(X_180))) = join(X_178,join(one,converse(X_180))),
inference(subst,[],[refute_0_372:[bind(X_19,$fot(X_178)),bind(X_20,$fot(one)),bind(X_5,$fot(X_180))]]) ).
cnf(refute_0_6436,plain,
( converse(join(one,join(X_178,converse(X_180)))) != join(one,converse(join(X_178,converse(X_180))))
| join(one,join(X_178,converse(X_180))) != join(X_178,join(one,converse(X_180)))
| converse(join(X_178,join(one,converse(X_180)))) = join(one,converse(join(X_178,converse(X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_178,converse(X_180)))),join(one,converse(join(X_178,converse(X_180))))) ),[0,0],$fot(join(X_178,join(one,converse(X_180))))]]) ).
cnf(refute_0_6437,plain,
( converse(join(one,join(X_178,converse(X_180)))) != join(one,converse(join(X_178,converse(X_180))))
| converse(join(X_178,join(one,converse(X_180)))) = join(one,converse(join(X_178,converse(X_180)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_178,converse(X_180))),join(X_178,join(one,converse(X_180)))) )],[refute_0_6435,refute_0_6436]) ).
cnf(refute_0_6438,plain,
converse(join(X_178,join(one,converse(X_180)))) = join(one,converse(join(X_178,converse(X_180)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_178,converse(X_180)))),join(one,converse(join(X_178,converse(X_180))))) )],[refute_0_6434,refute_0_6437]) ).
cnf(refute_0_6439,plain,
converse(join(X_178,join(one,converse(X_180)))) = join(converse(join(X_178,one)),X_180),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_180)),bind(X_55,$fot(X_178)),bind(X_56,$fot(one))]]) ).
cnf(refute_0_6440,plain,
( converse(join(X_178,join(one,converse(X_180)))) != join(converse(join(X_178,one)),X_180)
| converse(join(X_178,join(one,converse(X_180)))) != join(one,converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,one)),X_180) = join(one,converse(join(X_178,converse(X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_178,join(one,converse(X_180)))),join(one,converse(join(X_178,converse(X_180))))) ),[0],$fot(join(converse(join(X_178,one)),X_180))]]) ).
cnf(refute_0_6441,plain,
( converse(join(X_178,join(one,converse(X_180)))) != join(one,converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,one)),X_180) = join(one,converse(join(X_178,converse(X_180)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_178,join(one,converse(X_180)))),join(converse(join(X_178,one)),X_180)) )],[refute_0_6439,refute_0_6440]) ).
cnf(refute_0_6442,plain,
join(converse(join(one,X_178)),X_180) = join(one,join(converse(X_178),X_180)),
inference(subst,[],[refute_0_3105:[bind(X_5,$fot(X_178)),bind(X_57,$fot(X_180))]]) ).
cnf(refute_0_6443,plain,
converse(join(one,join(X_178,converse(X_180)))) = join(converse(join(one,X_178)),X_180),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_180)),bind(X_55,$fot(one)),bind(X_56,$fot(X_178))]]) ).
cnf(refute_0_6444,plain,
( converse(join(one,join(X_178,converse(X_180)))) != join(converse(join(one,X_178)),X_180)
| join(converse(join(one,X_178)),X_180) != join(one,join(converse(X_178),X_180))
| converse(join(one,join(X_178,converse(X_180)))) = join(one,join(converse(X_178),X_180)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(X_178,converse(X_180)))))),bind(Y,$fot(join(converse(join(one,X_178)),X_180))),bind(Z,$fot(join(one,join(converse(X_178),X_180))))]]) ).
cnf(refute_0_6445,plain,
( join(converse(join(one,X_178)),X_180) != join(one,join(converse(X_178),X_180))
| converse(join(one,join(X_178,converse(X_180)))) = join(one,join(converse(X_178),X_180)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_178,converse(X_180)))),join(converse(join(one,X_178)),X_180)) )],[refute_0_6443,refute_0_6444]) ).
cnf(refute_0_6446,plain,
converse(join(one,join(X_178,converse(X_180)))) = join(one,join(converse(X_178),X_180)),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_178)),X_180),join(one,join(converse(X_178),X_180))) )],[refute_0_6442,refute_0_6445]) ).
cnf(refute_0_6447,plain,
join(one,converse(join(X_178,converse(X_180)))) = converse(join(one,join(X_178,converse(X_180)))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(X_178,converse(X_180))))]]) ).
cnf(refute_0_6448,plain,
( converse(join(one,join(X_178,converse(X_180)))) != join(one,join(converse(X_178),X_180))
| join(one,converse(join(X_178,converse(X_180)))) != converse(join(one,join(X_178,converse(X_180))))
| join(one,converse(join(X_178,converse(X_180)))) = join(one,join(converse(X_178),X_180)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(join(X_178,converse(X_180)))))),bind(Y,$fot(converse(join(one,join(X_178,converse(X_180)))))),bind(Z,$fot(join(one,join(converse(X_178),X_180))))]]) ).
cnf(refute_0_6449,plain,
( converse(join(one,join(X_178,converse(X_180)))) != join(one,join(converse(X_178),X_180))
| join(one,converse(join(X_178,converse(X_180)))) = join(one,join(converse(X_178),X_180)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_178,converse(X_180)))),converse(join(one,join(X_178,converse(X_180))))) )],[refute_0_6447,refute_0_6448]) ).
cnf(refute_0_6450,plain,
join(one,converse(join(X_178,converse(X_180)))) = join(one,join(converse(X_178),X_180)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_178,converse(X_180)))),join(one,join(converse(X_178),X_180))) )],[refute_0_6446,refute_0_6449]) ).
cnf(refute_0_6451,plain,
( join(converse(join(X_178,one)),X_180) != join(one,converse(join(X_178,converse(X_180))))
| join(one,converse(join(X_178,converse(X_180)))) != join(one,join(converse(X_178),X_180))
| join(converse(join(X_178,one)),X_180) = join(one,join(converse(X_178),X_180)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(join(X_178,one)),X_180),join(one,join(converse(X_178),X_180))) ),[0],$fot(join(one,converse(join(X_178,converse(X_180)))))]]) ).
cnf(refute_0_6452,plain,
( join(converse(join(X_178,one)),X_180) != join(one,converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,one)),X_180) = join(one,join(converse(X_178),X_180)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_178,converse(X_180)))),join(one,join(converse(X_178),X_180))) )],[refute_0_6450,refute_0_6451]) ).
cnf(refute_0_6453,plain,
( converse(join(X_178,join(one,converse(X_180)))) != join(one,converse(join(X_178,converse(X_180))))
| join(converse(join(X_178,one)),X_180) = join(one,join(converse(X_178),X_180)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_178,one)),X_180),join(one,converse(join(X_178,converse(X_180))))) )],[refute_0_6441,refute_0_6452]) ).
cnf(refute_0_6454,plain,
join(converse(join(X_178,one)),X_180) = join(one,join(converse(X_178),X_180)),
inference(resolve,[$cnf( $equal(converse(join(X_178,join(one,converse(X_180)))),join(one,converse(join(X_178,converse(X_180))))) )],[refute_0_6438,refute_0_6453]) ).
cnf(refute_0_6455,plain,
join(converse(join(X_289,one)),X_5) = join(one,join(converse(X_289),X_5)),
inference(subst,[],[refute_0_6454:[bind(X_178,$fot(X_289)),bind(X_180,$fot(X_5))]]) ).
cnf(refute_0_6456,plain,
converse(join(X_289,join(one,converse(X_5)))) = join(converse(join(X_289,one)),X_5),
inference(subst,[],[refute_0_4503:[bind(X0,$fot(X_5)),bind(X_55,$fot(X_289)),bind(X_56,$fot(one))]]) ).
cnf(refute_0_6457,plain,
( converse(join(X_289,join(one,converse(X_5)))) != join(converse(join(X_289,one)),X_5)
| join(converse(join(X_289,one)),X_5) != join(one,join(converse(X_289),X_5))
| converse(join(X_289,join(one,converse(X_5)))) = join(one,join(converse(X_289),X_5)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_289,join(one,converse(X_5)))))),bind(Y,$fot(join(converse(join(X_289,one)),X_5))),bind(Z,$fot(join(one,join(converse(X_289),X_5))))]]) ).
cnf(refute_0_6458,plain,
( join(converse(join(X_289,one)),X_5) != join(one,join(converse(X_289),X_5))
| converse(join(X_289,join(one,converse(X_5)))) = join(one,join(converse(X_289),X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(X_289,join(one,converse(X_5)))),join(converse(join(X_289,one)),X_5)) )],[refute_0_6456,refute_0_6457]) ).
cnf(refute_0_6459,plain,
converse(join(X_289,join(one,converse(X_5)))) = join(one,join(converse(X_289),X_5)),
inference(resolve,[$cnf( $equal(join(converse(join(X_289,one)),X_5),join(one,join(converse(X_289),X_5))) )],[refute_0_6455,refute_0_6458]) ).
cnf(refute_0_6460,plain,
( converse(join(X_289,join(one,converse(X_5)))) != converse(join(one,join(converse(X_5),X_289)))
| converse(join(X_289,join(one,converse(X_5)))) != join(one,join(converse(X_289),X_5))
| join(one,join(converse(X_289),X_5)) = converse(join(one,join(converse(X_5),X_289))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_289,join(one,converse(X_5)))),converse(join(one,join(converse(X_5),X_289)))) ),[0],$fot(join(one,join(converse(X_289),X_5)))]]) ).
cnf(refute_0_6461,plain,
( converse(join(X_289,join(one,converse(X_5)))) != converse(join(one,join(converse(X_5),X_289)))
| join(one,join(converse(X_289),X_5)) = converse(join(one,join(converse(X_5),X_289))) ),
inference(resolve,[$cnf( $equal(converse(join(X_289,join(one,converse(X_5)))),join(one,join(converse(X_289),X_5))) )],[refute_0_6459,refute_0_6460]) ).
cnf(refute_0_6462,plain,
converse(join(one,join(converse(X_5),X_289))) = join(X_5,converse(join(one,X_289))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(X_5)),bind(X_180,$fot(X_289)),bind(X_4,$fot(one))]]) ).
cnf(refute_0_6463,plain,
( converse(join(one,join(converse(X_5),X_289))) != join(X_5,converse(join(one,X_289)))
| join(one,join(converse(X_289),X_5)) != converse(join(one,join(converse(X_5),X_289)))
| join(one,join(converse(X_289),X_5)) = join(X_5,converse(join(one,X_289))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_289),X_5)),converse(join(one,join(converse(X_5),X_289)))) ),[1],$fot(join(X_5,converse(join(one,X_289))))]]) ).
cnf(refute_0_6464,plain,
( join(one,join(converse(X_289),X_5)) != converse(join(one,join(converse(X_5),X_289)))
| join(one,join(converse(X_289),X_5)) = join(X_5,converse(join(one,X_289))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_5),X_289))),join(X_5,converse(join(one,X_289)))) )],[refute_0_6462,refute_0_6463]) ).
cnf(refute_0_6465,plain,
( converse(join(X_289,join(one,converse(X_5)))) != converse(join(one,join(converse(X_5),X_289)))
| join(one,join(converse(X_289),X_5)) = join(X_5,converse(join(one,X_289))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_289),X_5)),converse(join(one,join(converse(X_5),X_289)))) )],[refute_0_6461,refute_0_6464]) ).
cnf(refute_0_6466,plain,
join(one,join(converse(X_289),X_5)) = join(X_5,converse(join(one,X_289))),
inference(resolve,[$cnf( $equal(converse(join(X_289,join(one,converse(X_5)))),converse(join(one,join(converse(X_5),X_289)))) )],[refute_0_6433,refute_0_6465]) ).
cnf(refute_0_6467,plain,
( join(one,join(converse(X_289),X_5)) != join(X_5,converse(join(one,X_289)))
| join(X_5,converse(join(one,X_289))) = join(one,join(converse(X_289),X_5)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(converse(X_289),X_5)))),bind(Y,$fot(join(X_5,converse(join(one,X_289)))))]]) ).
cnf(refute_0_6468,plain,
join(X_5,converse(join(one,X_289))) = join(one,join(converse(X_289),X_5)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_289),X_5)),join(X_5,converse(join(one,X_289)))) )],[refute_0_6466,refute_0_6467]) ).
cnf(refute_0_6469,plain,
join(join(X_290,one),converse(join(one,X_284))) = join(one,join(converse(X_284),join(X_290,one))),
inference(subst,[],[refute_0_6468:[bind(X_289,$fot(X_284)),bind(X_5,$fot(join(X_290,one)))]]) ).
cnf(refute_0_6470,plain,
( join(join(X_290,one),converse(join(one,X_284))) != join(one,join(converse(X_284),join(X_290,one)))
| join(one,join(converse(X_284),join(X_290,one))) != join(one,join(converse(X_284),X_290))
| join(join(X_290,one),converse(join(one,X_284))) = join(one,join(converse(X_284),X_290)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_290,one),converse(join(one,X_284))))),bind(Y,$fot(join(one,join(converse(X_284),join(X_290,one))))),bind(Z,$fot(join(one,join(converse(X_284),X_290))))]]) ).
cnf(refute_0_6471,plain,
( join(one,join(converse(X_284),join(X_290,one))) != join(one,join(converse(X_284),X_290))
| join(join(X_290,one),converse(join(one,X_284))) = join(one,join(converse(X_284),X_290)) ),
inference(resolve,[$cnf( $equal(join(join(X_290,one),converse(join(one,X_284))),join(one,join(converse(X_284),join(X_290,one)))) )],[refute_0_6469,refute_0_6470]) ).
cnf(refute_0_6472,plain,
join(join(X_290,one),converse(join(one,X_284))) = join(one,join(converse(X_284),X_290)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),join(X_290,one))),join(one,join(converse(X_284),X_290))) )],[refute_0_6426,refute_0_6471]) ).
cnf(refute_0_6473,plain,
converse(join(one,join(converse(join(X_290,one)),X_284))) = join(join(X_290,one),converse(join(one,X_284))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(join(X_290,one))),bind(X_180,$fot(X_284)),bind(X_4,$fot(one))]]) ).
cnf(refute_0_6474,plain,
( converse(join(one,join(converse(join(X_290,one)),X_284))) != join(join(X_290,one),converse(join(one,X_284)))
| join(join(X_290,one),converse(join(one,X_284))) != join(one,join(converse(X_284),X_290))
| converse(join(one,join(converse(join(X_290,one)),X_284))) = join(one,join(converse(X_284),X_290)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(join(X_290,one)),X_284))))),bind(Y,$fot(join(join(X_290,one),converse(join(one,X_284))))),bind(Z,$fot(join(one,join(converse(X_284),X_290))))]]) ).
cnf(refute_0_6475,plain,
( join(join(X_290,one),converse(join(one,X_284))) != join(one,join(converse(X_284),X_290))
| converse(join(one,join(converse(join(X_290,one)),X_284))) = join(one,join(converse(X_284),X_290)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_290,one)),X_284))),join(join(X_290,one),converse(join(one,X_284)))) )],[refute_0_6473,refute_0_6474]) ).
cnf(refute_0_6476,plain,
converse(join(one,join(converse(join(X_290,one)),X_284))) = join(one,join(converse(X_284),X_290)),
inference(resolve,[$cnf( $equal(join(join(X_290,one),converse(join(one,X_284))),join(one,join(converse(X_284),X_290))) )],[refute_0_6472,refute_0_6475]) ).
cnf(refute_0_6477,plain,
( converse(join(one,join(converse(join(X_290,one)),X_284))) != converse(join(one,join(one,join(converse(X_290),X_284))))
| converse(join(one,join(converse(join(X_290,one)),X_284))) != join(one,join(converse(X_284),X_290))
| join(one,join(converse(X_284),X_290)) = converse(join(one,join(one,join(converse(X_290),X_284)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(join(X_290,one)),X_284))),converse(join(one,join(one,join(converse(X_290),X_284))))) ),[0],$fot(join(one,join(converse(X_284),X_290)))]]) ).
cnf(refute_0_6478,plain,
( converse(join(one,join(converse(join(X_290,one)),X_284))) != converse(join(one,join(one,join(converse(X_290),X_284))))
| join(one,join(converse(X_284),X_290)) = converse(join(one,join(one,join(converse(X_290),X_284)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_290,one)),X_284))),join(one,join(converse(X_284),X_290))) )],[refute_0_6476,refute_0_6477]) ).
cnf(refute_0_6479,plain,
converse(join(one,join(converse(X_290),X_284))) = join(X_290,converse(join(one,X_284))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(X_290)),bind(X_180,$fot(X_284)),bind(X_4,$fot(one))]]) ).
cnf(refute_0_6480,plain,
join(one,join(one,join(converse(X_290),X_284))) = join(one,join(converse(X_290),X_284)),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(one)),bind(X_133,$fot(join(converse(X_290),X_284)))]]) ).
cnf(refute_0_6481,plain,
converse(join(one,join(one,join(converse(X_290),X_284)))) = converse(join(one,join(one,join(converse(X_290),X_284)))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,join(converse(X_290),X_284)))))]]) ).
cnf(refute_0_6482,plain,
( converse(join(one,join(one,join(converse(X_290),X_284)))) != converse(join(one,join(one,join(converse(X_290),X_284))))
| join(one,join(one,join(converse(X_290),X_284))) != join(one,join(converse(X_290),X_284))
| converse(join(one,join(one,join(converse(X_290),X_284)))) = converse(join(one,join(converse(X_290),X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(converse(X_290),X_284)))),converse(join(one,join(one,join(converse(X_290),X_284))))) ),[1,0],$fot(join(one,join(converse(X_290),X_284)))]]) ).
cnf(refute_0_6483,plain,
( join(one,join(one,join(converse(X_290),X_284))) != join(one,join(converse(X_290),X_284))
| converse(join(one,join(one,join(converse(X_290),X_284)))) = converse(join(one,join(converse(X_290),X_284))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(converse(X_290),X_284)))),converse(join(one,join(one,join(converse(X_290),X_284))))) )],[refute_0_6481,refute_0_6482]) ).
cnf(refute_0_6484,plain,
converse(join(one,join(one,join(converse(X_290),X_284)))) = converse(join(one,join(converse(X_290),X_284))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(converse(X_290),X_284))),join(one,join(converse(X_290),X_284))) )],[refute_0_6480,refute_0_6483]) ).
cnf(refute_0_6485,plain,
( converse(join(one,join(converse(X_290),X_284))) != join(X_290,converse(join(one,X_284)))
| converse(join(one,join(one,join(converse(X_290),X_284)))) != converse(join(one,join(converse(X_290),X_284)))
| converse(join(one,join(one,join(converse(X_290),X_284)))) = join(X_290,converse(join(one,X_284))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(one,join(converse(X_290),X_284)))))),bind(Y,$fot(converse(join(one,join(converse(X_290),X_284))))),bind(Z,$fot(join(X_290,converse(join(one,X_284)))))]]) ).
cnf(refute_0_6486,plain,
( converse(join(one,join(converse(X_290),X_284))) != join(X_290,converse(join(one,X_284)))
| converse(join(one,join(one,join(converse(X_290),X_284)))) = join(X_290,converse(join(one,X_284))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(converse(X_290),X_284)))),converse(join(one,join(converse(X_290),X_284)))) )],[refute_0_6484,refute_0_6485]) ).
cnf(refute_0_6487,plain,
converse(join(one,join(one,join(converse(X_290),X_284)))) = join(X_290,converse(join(one,X_284))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_290),X_284))),join(X_290,converse(join(one,X_284)))) )],[refute_0_6479,refute_0_6486]) ).
cnf(refute_0_6488,plain,
( converse(join(one,join(one,join(converse(X_290),X_284)))) != join(X_290,converse(join(one,X_284)))
| join(one,join(converse(X_284),X_290)) != converse(join(one,join(one,join(converse(X_290),X_284))))
| join(one,join(converse(X_284),X_290)) = join(X_290,converse(join(one,X_284))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_284),X_290)),converse(join(one,join(one,join(converse(X_290),X_284))))) ),[1],$fot(join(X_290,converse(join(one,X_284))))]]) ).
cnf(refute_0_6489,plain,
( join(one,join(converse(X_284),X_290)) != converse(join(one,join(one,join(converse(X_290),X_284))))
| join(one,join(converse(X_284),X_290)) = join(X_290,converse(join(one,X_284))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(converse(X_290),X_284)))),join(X_290,converse(join(one,X_284)))) )],[refute_0_6487,refute_0_6488]) ).
cnf(refute_0_6490,plain,
( converse(join(one,join(converse(join(X_290,one)),X_284))) != converse(join(one,join(one,join(converse(X_290),X_284))))
| join(one,join(converse(X_284),X_290)) = join(X_290,converse(join(one,X_284))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),X_290)),converse(join(one,join(one,join(converse(X_290),X_284))))) )],[refute_0_6478,refute_0_6489]) ).
cnf(refute_0_6491,plain,
join(one,join(converse(X_284),X_290)) = join(X_290,converse(join(one,X_284))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(join(X_290,one)),X_284))),converse(join(one,join(one,join(converse(X_290),X_284))))) )],[refute_0_6421,refute_0_6490]) ).
cnf(refute_0_6492,plain,
( join(one,join(converse(X_284),X_290)) != join(X_290,converse(join(one,X_284)))
| join(X_290,converse(join(one,X_284))) = join(one,join(converse(X_284),X_290)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(converse(X_284),X_290)))),bind(Y,$fot(join(X_290,converse(join(one,X_284)))))]]) ).
cnf(refute_0_6493,plain,
join(X_290,converse(join(one,X_284))) = join(one,join(converse(X_284),X_290)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_284),X_290)),join(X_290,converse(join(one,X_284)))) )],[refute_0_6491,refute_0_6492]) ).
cnf(refute_0_6494,plain,
join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313))),
inference(subst,[],[refute_0_6493:[bind(X_284,$fot(complement(join(skolemFOFtoCNF_X0,converse(X_313))))),bind(X_290,$fot(complement(X_313)))]]) ).
cnf(refute_0_6495,plain,
( join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313)))
| join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313))) != join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))),bind(Y,$fot(join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313))))),bind(Z,$fot(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))))]]) ).
cnf(refute_0_6496,plain,
( join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313))) != join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313)))) )],[refute_0_6494,refute_0_6495]) ).
cnf(refute_0_6497,plain,
join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))),complement(X_313))),join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) )],[refute_0_6416,refute_0_6496]) ).
cnf(refute_0_6498,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))),bind(X_20,$fot(complement(X_313)))]]) ).
cnf(refute_0_6499,plain,
( join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) != join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)))),bind(Y,$fot(join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))),bind(Z,$fot(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))))]]) ).
cnf(refute_0_6500,plain,
( join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)),join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) )],[refute_0_6498,refute_0_6499]) ).
cnf(refute_0_6501,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),
inference(resolve,[$cnf( $equal(join(complement(X_313),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) )],[refute_0_6497,refute_0_6500]) ).
cnf(refute_0_6502,plain,
( join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) != join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))
| join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != join(one,complement(X_313))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(one,complement(X_313)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)))),bind(Y,$fot(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))))),bind(Z,$fot(join(one,complement(X_313))))]]) ).
cnf(refute_0_6503,plain,
( join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) != join(one,complement(X_313))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(one,complement(X_313)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)),join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313))))))) )],[refute_0_6501,refute_0_6502]) ).
cnf(refute_0_6504,plain,
join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) = join(one,complement(X_313)),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_313),converse(complement(join(skolemFOFtoCNF_X0,converse(X_313)))))),join(one,complement(X_313))) )],[refute_0_6382,refute_0_6503]) ).
cnf(refute_0_6505,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313))
| join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)) != join(one,complement(X_313))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(one,complement(X_313)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(one,complement(X_313))) ),[0],$fot(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)))]]) ).
cnf(refute_0_6506,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(one,complement(X_313)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313)),join(one,complement(X_313))) )],[refute_0_6504,refute_0_6505]) ).
cnf(refute_0_6507,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = join(one,complement(X_313)),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),complement(X_313))) )],[refute_0_6351,refute_0_6506]) ).
cnf(refute_0_6508,plain,
join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(X_324))),bind(X_270,$fot(join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))]]) ).
cnf(refute_0_6509,plain,
complement(X_300) = join(complement(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(X_300)),bind(X_96,$fot(join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))]]) ).
cnf(refute_0_6510,plain,
top = join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300)))),
inference(subst,[],[refute_0_6270:[bind(X_21,$fot(X_300))]]) ).
cnf(refute_0_6511,plain,
( top != join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))
| join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))]]) ).
cnf(refute_0_6512,plain,
join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) )],[refute_0_6510,refute_0_6511]) ).
cnf(refute_0_6513,plain,
( complement(X_300) != join(complement(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))
| join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) != top
| complement(X_300) = join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_300),join(complement(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6514,plain,
( complement(X_300) != join(complement(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))
| complement(X_300) = join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) ),
inference(resolve,[$cnf( $equal(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300)))),top) )],[refute_0_6512,refute_0_6513]) ).
cnf(refute_0_6515,plain,
complement(X_300) = join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(join(X_300,join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))) )],[refute_0_6509,refute_0_6514]) ).
cnf(refute_0_6516,plain,
join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))]]) ).
cnf(refute_0_6517,plain,
join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))]]) ).
cnf(refute_0_6518,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) != join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6519,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))) )],[refute_0_6517,refute_0_6518]) ).
cnf(refute_0_6520,plain,
join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6519]) ).
cnf(refute_0_6521,plain,
( join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) != join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))
| join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) != meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))),bind(Y,$fot(join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))),bind(Z,$fot(meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))]]) ).
cnf(refute_0_6522,plain,
( join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) != meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))) )],[refute_0_6520,refute_0_6521]) ).
cnf(refute_0_6523,plain,
join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) )],[refute_0_6516,refute_0_6522]) ).
cnf(refute_0_6524,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) != meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))
| complement(X_300) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_300),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) ),[0],$fot(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))))]]) ).
cnf(refute_0_6525,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))
| complement(X_300) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300))))) )],[refute_0_6523,refute_0_6524]) ).
cnf(refute_0_6526,plain,
complement(X_300) = meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(top),meet(complement(X_300),join(one,complement(join(skolemFOFtoCNF_X0,X_300)))))) )],[refute_0_6515,refute_0_6525]) ).
cnf(refute_0_6527,plain,
complement(X_324) = meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))),
inference(subst,[],[refute_0_6526:[bind(X_300,$fot(X_324))]]) ).
cnf(refute_0_6528,plain,
( complement(X_324) != meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324))))
| meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) = complement(X_324) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_324))),bind(Y,$fot(meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324))))))]]) ).
cnf(refute_0_6529,plain,
meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) = complement(X_324),
inference(resolve,[$cnf( $equal(complement(X_324),meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324))))) )],[refute_0_6527,refute_0_6528]) ).
cnf(refute_0_6530,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,X_324))) != join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))
| meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) != complement(X_324)
| join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))) ),[1,1],$fot(complement(X_324))]]) ).
cnf(refute_0_6531,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,X_324))) != join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))
| join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))),complement(X_324)) )],[refute_0_6529,refute_0_6530]) ).
cnf(refute_0_6532,plain,
join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),meet(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))) )],[refute_0_6508,refute_0_6531]) ).
cnf(refute_0_6533,plain,
meet(X_324,join(skolemFOFtoCNF_X0,X_324)) = X_324,
inference(subst,[],[refute_0_6353:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_171,$fot(X_324))]]) ).
cnf(refute_0_6534,plain,
complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) = complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))),
introduced(tautology,[refl,[$fot(complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))))]]) ).
cnf(refute_0_6535,plain,
( complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) != complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324)))
| meet(X_324,join(skolemFOFtoCNF_X0,X_324)) != X_324
| complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) = complement(X_324) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))),complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324)))) ),[1,0],$fot(X_324)]]) ).
cnf(refute_0_6536,plain,
( meet(X_324,join(skolemFOFtoCNF_X0,X_324)) != X_324
| complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) = complement(X_324) ),
inference(resolve,[$cnf( $equal(complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))),complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324)))) )],[refute_0_6534,refute_0_6535]) ).
cnf(refute_0_6537,plain,
complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) = complement(X_324),
inference(resolve,[$cnf( $equal(meet(X_324,join(skolemFOFtoCNF_X0,X_324)),X_324) )],[refute_0_6533,refute_0_6536]) ).
cnf(refute_0_6538,plain,
join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) = complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(X_324)),bind(X1,$fot(join(skolemFOFtoCNF_X0,X_324)))]]) ).
cnf(refute_0_6539,plain,
( complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) != complement(X_324)
| join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) != complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324)))
| join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) = complement(X_324) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))),bind(Y,$fot(complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))))),bind(Z,$fot(complement(X_324)))]]) ).
cnf(refute_0_6540,plain,
( complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))) != complement(X_324)
| join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) = complement(X_324) ),
inference(resolve,[$cnf( $equal(join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))),complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324)))) )],[refute_0_6538,refute_0_6539]) ).
cnf(refute_0_6541,plain,
join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) = complement(X_324),
inference(resolve,[$cnf( $equal(complement(meet(X_324,join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) )],[refute_0_6537,refute_0_6540]) ).
cnf(refute_0_6542,plain,
join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))))]]) ).
cnf(refute_0_6543,plain,
( join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) != complement(X_324)
| join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) != join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))
| join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,complement(X_324)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))) ),[1,1],$fot(complement(X_324))]]) ).
cnf(refute_0_6544,plain,
( join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))) != complement(X_324)
| join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,complement(X_324)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))) )],[refute_0_6542,refute_0_6543]) ).
cnf(refute_0_6545,plain,
join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,complement(X_324)),
inference(resolve,[$cnf( $equal(join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) )],[refute_0_6541,refute_0_6544]) ).
cnf(refute_0_6546,plain,
join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324))) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),
inference(subst,[],[refute_0_6415:[bind(X_288,$fot(complement(X_324))),bind(X_289,$fot(complement(join(skolemFOFtoCNF_X0,X_324))))]]) ).
cnf(refute_0_6547,plain,
join(X_291,converse(join(converse(X0),one))) = join(one,join(converse(converse(X0)),X_291)),
inference(subst,[],[refute_0_4753:[bind(X_285,$fot(converse(X0))),bind(X_286,$fot(X_291))]]) ).
cnf(refute_0_6548,plain,
( converse(converse(X0)) != X0
| join(X_291,converse(join(converse(X0),one))) != join(one,join(converse(converse(X0)),X_291))
| join(X_291,converse(join(converse(X0),one))) = join(one,join(X0,X_291)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_291,converse(join(converse(X0),one))),join(one,join(converse(converse(X0)),X_291))) ),[1,1,0],$fot(X0)]]) ).
cnf(refute_0_6549,plain,
( join(X_291,converse(join(converse(X0),one))) != join(one,join(converse(converse(X0)),X_291))
| join(X_291,converse(join(converse(X0),one))) = join(one,join(X0,X_291)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_6548]) ).
cnf(refute_0_6550,plain,
join(X_291,converse(join(converse(X0),one))) = join(one,join(X0,X_291)),
inference(resolve,[$cnf( $equal(join(X_291,converse(join(converse(X0),one))),join(one,join(converse(converse(X0)),X_291))) )],[refute_0_6547,refute_0_6549]) ).
cnf(refute_0_6551,plain,
join(X_291,converse(join(one,converse(X0)))) = join(X_291,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X_291,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_6552,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| join(X_291,converse(join(one,converse(X0)))) != join(X_291,converse(join(one,converse(X0))))
| join(X_291,converse(join(one,converse(X0)))) = join(X_291,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_291,converse(join(one,converse(X0)))),join(X_291,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_6553,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| join(X_291,converse(join(one,converse(X0)))) = join(X_291,join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(X_291,converse(join(one,converse(X0)))),join(X_291,converse(join(one,converse(X0))))) )],[refute_0_6551,refute_0_6552]) ).
cnf(refute_0_6554,plain,
join(X_291,converse(join(one,converse(X0)))) = join(X_291,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_2818,refute_0_6553]) ).
cnf(refute_0_6555,plain,
join(X_291,converse(join(converse(X0),one))) = join(X_291,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_4883:[bind(X_284,$fot(one)),bind(X_285,$fot(converse(X0))),bind(X_286,$fot(X_291))]]) ).
cnf(refute_0_6556,plain,
( join(X_291,converse(join(converse(X0),one))) != join(X_291,converse(join(one,converse(X0))))
| join(X_291,converse(join(one,converse(X0)))) != join(X_291,join(one,X0))
| join(X_291,converse(join(converse(X0),one))) = join(X_291,join(one,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_291,converse(join(converse(X0),one))))),bind(Y,$fot(join(X_291,converse(join(one,converse(X0)))))),bind(Z,$fot(join(X_291,join(one,X0))))]]) ).
cnf(refute_0_6557,plain,
( join(X_291,converse(join(one,converse(X0)))) != join(X_291,join(one,X0))
| join(X_291,converse(join(converse(X0),one))) = join(X_291,join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(X_291,converse(join(converse(X0),one))),join(X_291,converse(join(one,converse(X0))))) )],[refute_0_6555,refute_0_6556]) ).
cnf(refute_0_6558,plain,
join(X_291,converse(join(converse(X0),one))) = join(X_291,join(one,X0)),
inference(resolve,[$cnf( $equal(join(X_291,converse(join(one,converse(X0)))),join(X_291,join(one,X0))) )],[refute_0_6554,refute_0_6557]) ).
cnf(refute_0_6559,plain,
( join(X_291,converse(join(converse(X0),one))) != join(X_291,join(one,X0))
| join(X_291,converse(join(converse(X0),one))) != join(one,join(X0,X_291))
| join(X_291,join(one,X0)) = join(one,join(X0,X_291)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_291,converse(join(converse(X0),one))),join(one,join(X0,X_291))) ),[0],$fot(join(X_291,join(one,X0)))]]) ).
cnf(refute_0_6560,plain,
( join(X_291,converse(join(converse(X0),one))) != join(one,join(X0,X_291))
| join(X_291,join(one,X0)) = join(one,join(X0,X_291)) ),
inference(resolve,[$cnf( $equal(join(X_291,converse(join(converse(X0),one))),join(X_291,join(one,X0))) )],[refute_0_6558,refute_0_6559]) ).
cnf(refute_0_6561,plain,
join(X_291,join(one,X0)) = join(one,join(X0,X_291)),
inference(resolve,[$cnf( $equal(join(X_291,converse(join(converse(X0),one))),join(one,join(X0,X_291))) )],[refute_0_6550,refute_0_6560]) ).
cnf(refute_0_6562,plain,
join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324))),
inference(subst,[],[refute_0_6561:[bind(X0,$fot(complement(join(skolemFOFtoCNF_X0,X_324)))),bind(X_291,$fot(complement(X_324)))]]) ).
cnf(refute_0_6563,plain,
( join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) != join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324)))
| join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324))) != join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))
| join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))),bind(Y,$fot(join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324))))),bind(Z,$fot(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))))]]) ).
cnf(refute_0_6564,plain,
( join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324))) != join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))
| join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))),join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324)))) )],[refute_0_6562,refute_0_6563]) ).
cnf(refute_0_6565,plain,
join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(skolemFOFtoCNF_X0,X_324)),complement(X_324))),join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))) )],[refute_0_6546,refute_0_6564]) ).
cnf(refute_0_6566,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(one,complement(join(skolemFOFtoCNF_X0,X_324))))),bind(X_20,$fot(complement(X_324)))]]) ).
cnf(refute_0_6567,plain,
( join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) != join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))
| join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) != join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324))))
| join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)))),bind(Y,$fot(join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))))),bind(Z,$fot(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))))]]) ).
cnf(refute_0_6568,plain,
( join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))) != join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))
| join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)),join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324))))) )],[refute_0_6566,refute_0_6567]) ).
cnf(refute_0_6569,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),
inference(resolve,[$cnf( $equal(join(complement(X_324),join(one,complement(join(skolemFOFtoCNF_X0,X_324)))),join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))) )],[refute_0_6565,refute_0_6568]) ).
cnf(refute_0_6570,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) != join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))
| join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) != join(one,complement(X_324))
| join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(one,complement(X_324)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)))),bind(Y,$fot(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))))),bind(Z,$fot(join(one,complement(X_324))))]]) ).
cnf(refute_0_6571,plain,
( join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))) != join(one,complement(X_324))
| join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(one,complement(X_324)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)),join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324))))) )],[refute_0_6569,refute_0_6570]) ).
cnf(refute_0_6572,plain,
join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) = join(one,complement(X_324)),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_324),complement(join(skolemFOFtoCNF_X0,X_324)))),join(one,complement(X_324))) )],[refute_0_6545,refute_0_6571]) ).
cnf(refute_0_6573,plain,
( join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)) != join(one,complement(X_324))
| join(one,complement(join(skolemFOFtoCNF_X0,X_324))) != join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324))
| join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(one,complement(X_324)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324))) ),[1],$fot(join(one,complement(X_324)))]]) ).
cnf(refute_0_6574,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,X_324))) != join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324))
| join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(one,complement(X_324)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324)),join(one,complement(X_324))) )],[refute_0_6572,refute_0_6573]) ).
cnf(refute_0_6575,plain,
join(one,complement(join(skolemFOFtoCNF_X0,X_324))) = join(one,complement(X_324)),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),join(join(one,complement(join(skolemFOFtoCNF_X0,X_324))),complement(X_324))) )],[refute_0_6532,refute_0_6574]) ).
cnf(refute_0_6576,plain,
join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))) = join(one,complement(converse(X_313))),
inference(subst,[],[refute_0_6575:[bind(X_324,$fot(converse(X_313)))]]) ).
cnf(refute_0_6577,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))))]]) ).
cnf(refute_0_6578,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))
| join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))) != join(one,complement(converse(X_313)))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = converse(join(one,complement(converse(X_313)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) ),[1,0],$fot(join(one,complement(converse(X_313))))]]) ).
cnf(refute_0_6579,plain,
( join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))) != join(one,complement(converse(X_313)))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = converse(join(one,complement(converse(X_313)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))))) )],[refute_0_6577,refute_0_6578]) ).
cnf(refute_0_6580,plain,
converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) = converse(join(one,complement(converse(X_313)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313)))),join(one,complement(converse(X_313)))) )],[refute_0_6576,refute_0_6579]) ).
cnf(refute_0_6581,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != converse(join(one,complement(converse(X_313))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(one,complement(X_313))
| converse(join(one,complement(converse(X_313)))) = join(one,complement(X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(one,complement(X_313))) ),[0],$fot(converse(join(one,complement(converse(X_313)))))]]) ).
cnf(refute_0_6582,plain,
( converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))) != join(one,complement(X_313))
| converse(join(one,complement(converse(X_313)))) = join(one,complement(X_313)) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),converse(join(one,complement(converse(X_313))))) )],[refute_0_6580,refute_0_6581]) ).
cnf(refute_0_6583,plain,
converse(join(one,complement(converse(X_313)))) = join(one,complement(X_313)),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(X_313))))),join(one,complement(X_313))) )],[refute_0_6507,refute_0_6582]) ).
cnf(refute_0_6584,plain,
converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_6583:[bind(X_313,$fot(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6585,plain,
composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) = composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6586,plain,
( composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) != composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0)
| converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) = composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0),composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0)) ),[1,0],$fot(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6587,plain,
( converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) = composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0),composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0)) )],[refute_0_6585,refute_0_6586]) ).
cnf(refute_0_6588,plain,
composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) = composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6584,refute_0_6587]) ).
cnf(refute_0_6589,plain,
converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_62:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_12,$fot(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6590,plain,
( composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) != composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)
| converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0)
| converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0))),bind(Z,$fot(composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6591,plain,
( composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0) != composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)
| converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0)) )],[refute_0_6589,refute_0_6590]) ).
cnf(refute_0_6592,plain,
converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),skolemFOFtoCNF_X0),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) )],[refute_0_6588,refute_0_6591]) ).
cnf(refute_0_6593,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_6594,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,1],$fot(composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6595,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6593,refute_0_6594]) ).
cnf(refute_0_6596,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) )],[refute_0_6592,refute_0_6595]) ).
cnf(refute_0_6597,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))
| zero != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| zero = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1],$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6598,plain,
( zero != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| zero = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))) )],[refute_0_6596,refute_0_6597]) ).
cnf(refute_0_6599,plain,
zero = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(converse(skolemFOFtoCNF_X0),join(one,complement(converse(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6263,refute_0_6598]) ).
cnf(refute_0_6600,plain,
( zero != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6601,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))) )],[refute_0_6599,refute_0_6600]) ).
cnf(refute_0_6602,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != zero
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_6603,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),zero) )],[refute_0_6601,refute_0_6602]) ).
cnf(refute_0_6604,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6259,refute_0_6603]) ).
cnf(refute_0_6605,plain,
composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)) = composition(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_6606,plain,
( composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)) != composition(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),X2)
| composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)),composition(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),X2)) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_6607,plain,
( composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)) != composition(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),X2)
| composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5944,refute_0_6606]) ).
cnf(refute_0_6608,plain,
composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),X2)),composition(composition(top,complement(converse(composition(skolemFOFtoCNF_X0,top)))),X2)) )],[refute_0_6605,refute_0_6607]) ).
cnf(refute_0_6609,plain,
composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_6608:[bind(X2,$fot(join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6610,plain,
converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6611,plain,
( composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6612,plain,
( composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6610,refute_0_6611]) ).
cnf(refute_0_6613,plain,
converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6609,refute_0_6612]) ).
cnf(refute_0_6614,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) = converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6615,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) != converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top))),bind(Y,$fot(converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6616,plain,
( converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top),converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6614,refute_0_6615]) ).
cnf(refute_0_6617,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6613,refute_0_6616]) ).
cnf(refute_0_6618,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)))]]) ).
cnf(refute_0_6619,plain,
( complement(zero) != top
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) != composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_6620,plain,
( complement(zero) != top
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) )],[refute_0_6618,refute_0_6619]) ).
cnf(refute_0_6621,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_6620]) ).
cnf(refute_0_6622,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) != composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top)
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) != converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)))),bind(Y,$fot(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top))),bind(Z,$fot(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6623,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top) != converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top)) )],[refute_0_6621,refute_0_6622]) ).
cnf(refute_0_6624,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) = converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),top),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6617,refute_0_6623]) ).
cnf(refute_0_6625,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))))]]) ).
cnf(refute_0_6626,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) != converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) != join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)))
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)))) ),[1,1],$fot(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6627,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)) != converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))),join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)))) )],[refute_0_6625,refute_0_6626]) ).
cnf(refute_0_6628,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) = join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero)),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6624,refute_0_6627]) ).
cnf(refute_0_6629,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) != join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6630,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6628,refute_0_6629]) ).
cnf(refute_0_6631,plain,
join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(zero))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6604,refute_0_6630]) ).
cnf(refute_0_6632,plain,
( converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) != composition(converse(X_12),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != complement(skolemFOFtoCNF_X0)
| converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),composition(converse(X_12),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6633,plain,
( converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) != composition(converse(X_12),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6631,refute_0_6632]) ).
cnf(refute_0_6634,plain,
converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),composition(converse(X_12),join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6258,refute_0_6633]) ).
cnf(refute_0_6635,plain,
converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6636,plain,
( converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) != complement(skolemFOFtoCNF_X0)
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6637,plain,
( converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_6631,refute_0_6636]) ).
cnf(refute_0_6638,plain,
converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6635,refute_0_6637]) ).
cnf(refute_0_6639,plain,
join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6640,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6641,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6639,refute_0_6640]) ).
cnf(refute_0_6642,plain,
join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_6641]) ).
cnf(refute_0_6643,plain,
converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_400:[bind(X0,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(X_4,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6644,plain,
( converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))))),bind(Z,$fot(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6645,plain,
( converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6635,refute_0_6644]) ).
cnf(refute_0_6646,plain,
converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6643,refute_0_6645]) ).
cnf(refute_0_6647,plain,
( converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6648,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6646,refute_0_6647]) ).
cnf(refute_0_6649,plain,
converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6642,refute_0_6648]) ).
cnf(refute_0_6650,plain,
( converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6651,plain,
( converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6649,refute_0_6650]) ).
cnf(refute_0_6652,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(complement(skolemFOFtoCNF_X0))) ),[1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6653,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_6652]) ).
cnf(refute_0_6654,plain,
( converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6651,refute_0_6653]) ).
cnf(refute_0_6655,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6638,refute_0_6654]) ).
cnf(refute_0_6656,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6657,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != complement(converse(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6642,refute_0_6656]) ).
cnf(refute_0_6658,plain,
join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_6655,refute_0_6657]) ).
cnf(refute_0_6659,plain,
composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) = composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12),
introduced(tautology,[refl,[$fot(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12))]]) ).
cnf(refute_0_6660,plain,
( composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) != composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)
| join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != complement(converse(skolemFOFtoCNF_X0))
| composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) = composition(complement(converse(skolemFOFtoCNF_X0)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12),composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6661,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))) != complement(converse(skolemFOFtoCNF_X0))
| composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) = composition(complement(converse(skolemFOFtoCNF_X0)),X_12) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12),composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) )],[refute_0_6659,refute_0_6660]) ).
cnf(refute_0_6662,plain,
composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) = composition(complement(converse(skolemFOFtoCNF_X0)),X_12),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_6658,refute_0_6661]) ).
cnf(refute_0_6663,plain,
converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)))]]) ).
cnf(refute_0_6664,plain,
( composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) != composition(complement(converse(skolemFOFtoCNF_X0)),X_12)
| converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) != converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12))
| converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12))) ),[1,0],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))]]) ).
cnf(refute_0_6665,plain,
( composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12) != composition(complement(converse(skolemFOFtoCNF_X0)),X_12)
| converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12))) )],[refute_0_6663,refute_0_6664]) ).
cnf(refute_0_6666,plain,
converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) = converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12),composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) )],[refute_0_6662,refute_0_6665]) ).
cnf(refute_0_6667,plain,
( converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) != composition(converse(X_12),complement(skolemFOFtoCNF_X0))
| converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) != converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))
| converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),composition(converse(X_12),complement(skolemFOFtoCNF_X0))) ),[0],$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)))]]) ).
cnf(refute_0_6668,plain,
( converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)) != composition(converse(X_12),complement(skolemFOFtoCNF_X0))
| converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))) )],[refute_0_6666,refute_0_6667]) ).
cnf(refute_0_6669,plain,
converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,top))),join(one,complement(composition(top,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),X_12)),composition(converse(X_12),complement(skolemFOFtoCNF_X0))) )],[refute_0_6634,refute_0_6668]) ).
cnf(refute_0_6670,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),X_12) = composition(complement(converse(skolemFOFtoCNF_X0)),X_12),
introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))]]) ).
cnf(refute_0_6671,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(complement(converse(skolemFOFtoCNF_X0)),X_12) != composition(complement(converse(skolemFOFtoCNF_X0)),X_12)
| composition(complement(converse(skolemFOFtoCNF_X0)),X_12) = composition(complement(skolemFOFtoCNF_X0),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),X_12),composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6672,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(complement(converse(skolemFOFtoCNF_X0)),X_12) = composition(complement(skolemFOFtoCNF_X0),X_12) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),X_12),composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) )],[refute_0_6670,refute_0_6671]) ).
cnf(refute_0_6673,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),X_12) = composition(complement(skolemFOFtoCNF_X0),X_12),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_5107,refute_0_6672]) ).
cnf(refute_0_6674,plain,
converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)))]]) ).
cnf(refute_0_6675,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),X_12) != composition(complement(skolemFOFtoCNF_X0),X_12)
| converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) != converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))
| converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = converse(composition(complement(skolemFOFtoCNF_X0),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),X_12))]]) ).
cnf(refute_0_6676,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),X_12) != composition(complement(skolemFOFtoCNF_X0),X_12)
| converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = converse(composition(complement(skolemFOFtoCNF_X0),X_12)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12))) )],[refute_0_6674,refute_0_6675]) ).
cnf(refute_0_6677,plain,
converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) = converse(composition(complement(skolemFOFtoCNF_X0),X_12)),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),X_12),composition(complement(skolemFOFtoCNF_X0),X_12)) )],[refute_0_6673,refute_0_6676]) ).
cnf(refute_0_6678,plain,
( converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) != composition(converse(X_12),complement(skolemFOFtoCNF_X0))
| converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) != converse(composition(complement(skolemFOFtoCNF_X0),X_12))
| converse(composition(complement(skolemFOFtoCNF_X0),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),composition(converse(X_12),complement(skolemFOFtoCNF_X0))) ),[0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),X_12)))]]) ).
cnf(refute_0_6679,plain,
( converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)) != composition(converse(X_12),complement(skolemFOFtoCNF_X0))
| converse(composition(complement(skolemFOFtoCNF_X0),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),converse(composition(complement(skolemFOFtoCNF_X0),X_12))) )],[refute_0_6677,refute_0_6678]) ).
cnf(refute_0_6680,plain,
converse(composition(complement(skolemFOFtoCNF_X0),X_12)) = composition(converse(X_12),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(skolemFOFtoCNF_X0)),X_12)),composition(converse(X_12),complement(skolemFOFtoCNF_X0))) )],[refute_0_6669,refute_0_6679]) ).
cnf(refute_0_6681,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),X_12)) != composition(converse(X_12),complement(skolemFOFtoCNF_X0))
| composition(converse(X_12),complement(skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),X_12)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),X_12)))),bind(Y,$fot(composition(converse(X_12),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6682,plain,
composition(converse(X_12),complement(skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),X_12)),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),X_12)),composition(converse(X_12),complement(skolemFOFtoCNF_X0))) )],[refute_0_6680,refute_0_6681]) ).
cnf(refute_0_6683,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6682:[bind(X_12,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6684,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6685,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_6683,refute_0_6684]) ).
cnf(refute_0_6686,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6257,refute_0_6685]) ).
cnf(refute_0_6687,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6688,plain,
( composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6686,refute_0_6687]) ).
cnf(refute_0_6689,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_6256,refute_0_6688]) ).
cnf(refute_0_6690,plain,
join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6691,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) != join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)))
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))),join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6692,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))),join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_6690,refute_0_6691]) ).
cnf(refute_0_6693,plain,
join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) = join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_6689,refute_0_6692]) ).
cnf(refute_0_6694,plain,
( join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) != complement(one)
| join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) != join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))),complement(one)) ),[0],$fot(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6695,plain,
( join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))) != complement(one)
| join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))),join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6693,refute_0_6694]) ).
cnf(refute_0_6696,plain,
join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_6249,refute_0_6695]) ).
cnf(refute_0_6697,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(one)
| join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(converse(complement(one)),X_566) = join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566),join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_6698,plain,
( join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(converse(complement(one)),X_566) = join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_6696,refute_0_6697]) ).
cnf(refute_0_6699,plain,
join(converse(complement(one)),X_566) = join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566),join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) )],[refute_0_6245,refute_0_6698]) ).
cnf(refute_0_6700,plain,
join(converse(complement(one)),X_566) = join(converse(complement(one)),X_566),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),X_566))]]) ).
cnf(refute_0_6701,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X_566) != join(converse(complement(one)),X_566)
| join(converse(complement(one)),X_566) = join(complement(one),X_566) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),X_566),join(converse(complement(one)),X_566)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6702,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X_566) = join(complement(one),X_566) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_566),join(converse(complement(one)),X_566)) )],[refute_0_6700,refute_0_6701]) ).
cnf(refute_0_6703,plain,
join(converse(complement(one)),X_566) = join(complement(one),X_566),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_6702]) ).
cnf(refute_0_6704,plain,
( join(converse(complement(one)),X_566) != join(complement(one),X_566)
| join(converse(complement(one)),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(complement(one),X_566) = join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),X_566),join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) ),[0],$fot(join(complement(one),X_566))]]) ).
cnf(refute_0_6705,plain,
( join(converse(complement(one)),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(complement(one),X_566) = join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_566),join(complement(one),X_566)) )],[refute_0_6703,refute_0_6704]) ).
cnf(refute_0_6706,plain,
converse(join(join(X_4,converse(X0)),complement(one))) = join(complement(one),converse(join(X_4,converse(X0)))),
inference(subst,[],[refute_0_1541:[bind(X_4,$fot(join(X_4,converse(X0))))]]) ).
cnf(refute_0_6707,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
| converse(join(join(X_4,converse(X0)),complement(one))) != join(complement(one),converse(join(X_4,converse(X0))))
| converse(join(join(X_4,converse(X0)),complement(one))) = join(complement(one),join(converse(X_4),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_4,converse(X0)),complement(one))),join(complement(one),converse(join(X_4,converse(X0))))) ),[1,1],$fot(join(converse(X_4),X0))]]) ).
cnf(refute_0_6708,plain,
( converse(join(join(X_4,converse(X0)),complement(one))) != join(complement(one),converse(join(X_4,converse(X0))))
| converse(join(join(X_4,converse(X0)),complement(one))) = join(complement(one),join(converse(X_4),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_400,refute_0_6707]) ).
cnf(refute_0_6709,plain,
converse(join(join(X_4,converse(X0)),complement(one))) = join(complement(one),join(converse(X_4),X0)),
inference(resolve,[$cnf( $equal(converse(join(join(X_4,converse(X0)),complement(one))),join(complement(one),converse(join(X_4,converse(X0))))) )],[refute_0_6706,refute_0_6708]) ).
cnf(refute_0_6710,plain,
converse(join(complement(one),join(X_4,converse(X0)))) = join(converse(join(complement(one),X_4)),X0),
inference(subst,[],[refute_0_4503:[bind(X_55,$fot(complement(one))),bind(X_56,$fot(X_4))]]) ).
cnf(refute_0_6711,plain,
converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = join(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6712,plain,
join(complement(one),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))) = join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))),
inference(subst,[],[refute_0_2913:[bind(X_57,$fot(converse(meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6713,plain,
converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(meet(complement(one),complement(converse(composition(top,zero)))))),bind(X1,$fot(converse(composition(top,zero))))]]) ).
cnf(refute_0_6714,plain,
complement(one) = join(meet(complement(one),converse(composition(top,zero))),meet(complement(converse(composition(top,zero))),complement(one))),
inference(subst,[],[refute_0_1046:[bind(X_95,$fot(complement(one))),bind(X_96,$fot(converse(composition(top,zero))))]]) ).
cnf(refute_0_6715,plain,
converse(composition(top,zero)) = join(meet(one,converse(composition(top,zero))),meet(converse(composition(top,zero)),complement(one))),
inference(subst,[],[refute_0_913:[bind(X_95,$fot(converse(composition(top,zero)))),bind(X_96,$fot(one))]]) ).
cnf(refute_0_6716,plain,
meet(one,converse(composition(top,zero))) = complement(complement(meet(one,converse(composition(top,zero))))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(one,converse(composition(top,zero)))))]]) ).
cnf(refute_0_6717,plain,
converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(converse(join(zero,complement(converse(composition(top,zero))))))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_6718,plain,
join(complement(one),join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))) = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))),
inference(subst,[],[refute_0_2913:[bind(X_57,$fot(converse(join(zero,complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6719,plain,
top = join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero)))))),
inference(subst,[],[refute_0_959:[bind(X_50,$fot(composition(top,zero)))]]) ).
cnf(refute_0_6720,plain,
( top != join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))
| join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))))]]) ).
cnf(refute_0_6721,plain,
join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero)))))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))) )],[refute_0_6719,refute_0_6720]) ).
cnf(refute_0_6722,plain,
( join(complement(one),join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))) != join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))
| join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero)))))) != top
| join(complement(one),top) = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))),join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_6723,plain,
( join(complement(one),join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))) != join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))
| join(complement(one),top) = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero)))))),top) )],[refute_0_6721,refute_0_6722]) ).
cnf(refute_0_6724,plain,
join(complement(one),top) = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),converse(join(zero,complement(converse(composition(top,zero))))))),join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) )],[refute_0_6718,refute_0_6723]) ).
cnf(refute_0_6725,plain,
( join(complement(one),top) != join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))
| join(complement(one),top) != top
| top = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),top),join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_6726,plain,
( join(complement(one),top) != join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))
| top = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),top),top) )],[refute_0_3189,refute_0_6725]) ).
cnf(refute_0_6727,plain,
top = join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) )],[refute_0_6724,refute_0_6726]) ).
cnf(refute_0_6728,plain,
( top != join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))
| join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))))]]) ).
cnf(refute_0_6729,plain,
join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) )],[refute_0_6727,refute_0_6728]) ).
cnf(refute_0_6730,plain,
( converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))))
| join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))) != top
| converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))),converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6731,plain,
( converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))))
| converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))),top) )],[refute_0_6729,refute_0_6730]) ).
cnf(refute_0_6732,plain,
converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))),converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))))) )],[refute_0_6717,refute_0_6731]) ).
cnf(refute_0_6733,plain,
join(zero,join(join(X_67,zero),X2)) = join(join(zero,join(X_67,zero)),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(zero)),bind(X1,$fot(join(X_67,zero)))]]) ).
cnf(refute_0_6734,plain,
join(zero,join(X_67,zero)) = join(zero,X_67),
inference(subst,[],[refute_0_753:[bind(X_62,$fot(X_67))]]) ).
cnf(refute_0_6735,plain,
( join(zero,join(X_67,zero)) != join(zero,X_67)
| join(zero,join(join(X_67,zero),X2)) != join(join(zero,join(X_67,zero)),X2)
| join(zero,join(join(X_67,zero),X2)) = join(join(zero,X_67),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(join(zero,join(X_67,zero)),X2)) ),[1,0],$fot(join(zero,X_67))]]) ).
cnf(refute_0_6736,plain,
( join(zero,join(join(X_67,zero),X2)) != join(join(zero,join(X_67,zero)),X2)
| join(zero,join(join(X_67,zero),X2)) = join(join(zero,X_67),X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_67,zero)),join(zero,X_67)) )],[refute_0_6734,refute_0_6735]) ).
cnf(refute_0_6737,plain,
join(zero,join(join(X_67,zero),X2)) = join(join(zero,X_67),X2),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(join(zero,join(X_67,zero)),X2)) )],[refute_0_6733,refute_0_6736]) ).
cnf(refute_0_6738,plain,
join(X0,join(zero,join(zero,X_62))) = join(join(X0,zero),join(zero,X_62)),
inference(subst,[],[refute_0_46:[bind(X1,$fot(zero)),bind(X2,$fot(join(zero,X_62)))]]) ).
cnf(refute_0_6739,plain,
( join(X0,join(zero,join(zero,X_62))) != join(join(X0,zero),join(zero,X_62))
| join(zero,join(zero,X_62)) != join(zero,X_62)
| join(X0,join(zero,X_62)) = join(join(X0,zero),join(zero,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(zero,join(zero,X_62))),join(join(X0,zero),join(zero,X_62))) ),[0,1],$fot(join(zero,X_62))]]) ).
cnf(refute_0_6740,plain,
( join(X0,join(zero,join(zero,X_62))) != join(join(X0,zero),join(zero,X_62))
| join(X0,join(zero,X_62)) = join(join(X0,zero),join(zero,X_62)) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_62)),join(zero,X_62)) )],[refute_0_746,refute_0_6739]) ).
cnf(refute_0_6741,plain,
join(X0,join(zero,X_62)) = join(join(X0,zero),join(zero,X_62)),
inference(resolve,[$cnf( $equal(join(X0,join(zero,join(zero,X_62))),join(join(X0,zero),join(zero,X_62))) )],[refute_0_6738,refute_0_6740]) ).
cnf(refute_0_6742,plain,
join(join(X0,zero),X_62) = join(X0,join(zero,X_62)),
inference(subst,[],[refute_0_168:[bind(X1,$fot(zero)),bind(X2,$fot(X_62))]]) ).
cnf(refute_0_6743,plain,
join(zero,join(join(X0,zero),X_62)) = join(zero,join(join(X0,zero),X_62)),
introduced(tautology,[refl,[$fot(join(zero,join(join(X0,zero),X_62)))]]) ).
cnf(refute_0_6744,plain,
( join(join(X0,zero),X_62) != join(X0,join(zero,X_62))
| join(zero,join(join(X0,zero),X_62)) != join(zero,join(join(X0,zero),X_62))
| join(zero,join(join(X0,zero),X_62)) = join(zero,join(X0,join(zero,X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X0,zero),X_62)),join(zero,join(join(X0,zero),X_62))) ),[1,1],$fot(join(X0,join(zero,X_62)))]]) ).
cnf(refute_0_6745,plain,
( join(join(X0,zero),X_62) != join(X0,join(zero,X_62))
| join(zero,join(join(X0,zero),X_62)) = join(zero,join(X0,join(zero,X_62))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X0,zero),X_62)),join(zero,join(join(X0,zero),X_62))) )],[refute_0_6743,refute_0_6744]) ).
cnf(refute_0_6746,plain,
join(zero,join(join(X0,zero),X_62)) = join(zero,join(X0,join(zero,X_62))),
inference(resolve,[$cnf( $equal(join(join(X0,zero),X_62),join(X0,join(zero,X_62))) )],[refute_0_6742,refute_0_6745]) ).
cnf(refute_0_6747,plain,
join(join(X0,zero),join(zero,X_62)) = join(zero,join(join(X0,zero),X_62)),
inference(subst,[],[refute_0_1742:[bind(X_55,$fot(zero)),bind(X_56,$fot(join(X0,zero))),bind(X_57,$fot(X_62))]]) ).
cnf(refute_0_6748,plain,
( join(join(X0,zero),join(zero,X_62)) != join(zero,join(join(X0,zero),X_62))
| join(zero,join(join(X0,zero),X_62)) != join(zero,join(X0,join(zero,X_62)))
| join(join(X0,zero),join(zero,X_62)) = join(zero,join(X0,join(zero,X_62))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,zero),join(zero,X_62)))),bind(Y,$fot(join(zero,join(join(X0,zero),X_62)))),bind(Z,$fot(join(zero,join(X0,join(zero,X_62)))))]]) ).
cnf(refute_0_6749,plain,
( join(zero,join(join(X0,zero),X_62)) != join(zero,join(X0,join(zero,X_62)))
| join(join(X0,zero),join(zero,X_62)) = join(zero,join(X0,join(zero,X_62))) ),
inference(resolve,[$cnf( $equal(join(join(X0,zero),join(zero,X_62)),join(zero,join(join(X0,zero),X_62))) )],[refute_0_6747,refute_0_6748]) ).
cnf(refute_0_6750,plain,
join(join(X0,zero),join(zero,X_62)) = join(zero,join(X0,join(zero,X_62))),
inference(resolve,[$cnf( $equal(join(zero,join(join(X0,zero),X_62)),join(zero,join(X0,join(zero,X_62)))) )],[refute_0_6746,refute_0_6749]) ).
cnf(refute_0_6751,plain,
( join(X0,join(zero,X_62)) != join(join(X0,zero),join(zero,X_62))
| join(join(X0,zero),join(zero,X_62)) != join(zero,join(X0,join(zero,X_62)))
| join(X0,join(zero,X_62)) = join(zero,join(X0,join(zero,X_62))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(zero,X_62)),join(zero,join(X0,join(zero,X_62)))) ),[0],$fot(join(join(X0,zero),join(zero,X_62)))]]) ).
cnf(refute_0_6752,plain,
( join(X0,join(zero,X_62)) != join(join(X0,zero),join(zero,X_62))
| join(X0,join(zero,X_62)) = join(zero,join(X0,join(zero,X_62))) ),
inference(resolve,[$cnf( $equal(join(join(X0,zero),join(zero,X_62)),join(zero,join(X0,join(zero,X_62)))) )],[refute_0_6750,refute_0_6751]) ).
cnf(refute_0_6753,plain,
join(X0,join(zero,X_62)) = join(zero,join(X0,join(zero,X_62))),
inference(resolve,[$cnf( $equal(join(X0,join(zero,X_62)),join(join(X0,zero),join(zero,X_62))) )],[refute_0_6741,refute_0_6752]) ).
cnf(refute_0_6754,plain,
( join(X0,join(zero,X_62)) != join(zero,join(X0,join(zero,X_62)))
| join(zero,join(X0,join(zero,X_62))) = join(X0,join(zero,X_62)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(zero,X_62)))),bind(Y,$fot(join(zero,join(X0,join(zero,X_62)))))]]) ).
cnf(refute_0_6755,plain,
join(zero,join(X0,join(zero,X_62))) = join(X0,join(zero,X_62)),
inference(resolve,[$cnf( $equal(join(X0,join(zero,X_62)),join(zero,join(X0,join(zero,X_62)))) )],[refute_0_6753,refute_0_6754]) ).
cnf(refute_0_6756,plain,
join(zero,join(X_67,join(zero,X2))) = join(X_67,join(zero,X2)),
inference(subst,[],[refute_0_6755:[bind(X0,$fot(X_67)),bind(X_62,$fot(X2))]]) ).
cnf(refute_0_6757,plain,
join(join(X_67,zero),X2) = join(X_67,join(zero,X2)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_67)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_6758,plain,
join(zero,join(join(X_67,zero),X2)) = join(zero,join(join(X_67,zero),X2)),
introduced(tautology,[refl,[$fot(join(zero,join(join(X_67,zero),X2)))]]) ).
cnf(refute_0_6759,plain,
( join(join(X_67,zero),X2) != join(X_67,join(zero,X2))
| join(zero,join(join(X_67,zero),X2)) != join(zero,join(join(X_67,zero),X2))
| join(zero,join(join(X_67,zero),X2)) = join(zero,join(X_67,join(zero,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(zero,join(join(X_67,zero),X2))) ),[1,1],$fot(join(X_67,join(zero,X2)))]]) ).
cnf(refute_0_6760,plain,
( join(join(X_67,zero),X2) != join(X_67,join(zero,X2))
| join(zero,join(join(X_67,zero),X2)) = join(zero,join(X_67,join(zero,X2))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(zero,join(join(X_67,zero),X2))) )],[refute_0_6758,refute_0_6759]) ).
cnf(refute_0_6761,plain,
join(zero,join(join(X_67,zero),X2)) = join(zero,join(X_67,join(zero,X2))),
inference(resolve,[$cnf( $equal(join(join(X_67,zero),X2),join(X_67,join(zero,X2))) )],[refute_0_6757,refute_0_6760]) ).
cnf(refute_0_6762,plain,
( join(zero,join(X_67,join(zero,X2))) != join(X_67,join(zero,X2))
| join(zero,join(join(X_67,zero),X2)) != join(zero,join(X_67,join(zero,X2)))
| join(zero,join(join(X_67,zero),X2)) = join(X_67,join(zero,X2)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,join(join(X_67,zero),X2)))),bind(Y,$fot(join(zero,join(X_67,join(zero,X2))))),bind(Z,$fot(join(X_67,join(zero,X2))))]]) ).
cnf(refute_0_6763,plain,
( join(zero,join(X_67,join(zero,X2))) != join(X_67,join(zero,X2))
| join(zero,join(join(X_67,zero),X2)) = join(X_67,join(zero,X2)) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(zero,join(X_67,join(zero,X2)))) )],[refute_0_6761,refute_0_6762]) ).
cnf(refute_0_6764,plain,
join(zero,join(join(X_67,zero),X2)) = join(X_67,join(zero,X2)),
inference(resolve,[$cnf( $equal(join(zero,join(X_67,join(zero,X2))),join(X_67,join(zero,X2))) )],[refute_0_6756,refute_0_6763]) ).
cnf(refute_0_6765,plain,
( join(zero,join(join(X_67,zero),X2)) != join(X_67,join(zero,X2))
| join(zero,join(join(X_67,zero),X2)) != join(join(zero,X_67),X2)
| join(X_67,join(zero,X2)) = join(join(zero,X_67),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(join(zero,X_67),X2)) ),[0],$fot(join(X_67,join(zero,X2)))]]) ).
cnf(refute_0_6766,plain,
( join(zero,join(join(X_67,zero),X2)) != join(join(zero,X_67),X2)
| join(X_67,join(zero,X2)) = join(join(zero,X_67),X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(X_67,join(zero,X2))) )],[refute_0_6764,refute_0_6765]) ).
cnf(refute_0_6767,plain,
join(join(zero,X_67),X2) = join(zero,join(X_67,X2)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(zero)),bind(X1,$fot(X_67))]]) ).
cnf(refute_0_6768,plain,
( join(X_67,join(zero,X2)) != join(join(zero,X_67),X2)
| join(join(zero,X_67),X2) != join(zero,join(X_67,X2))
| join(X_67,join(zero,X2)) = join(zero,join(X_67,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_67,join(zero,X2)),join(zero,join(X_67,X2))) ),[0],$fot(join(join(zero,X_67),X2))]]) ).
cnf(refute_0_6769,plain,
( join(X_67,join(zero,X2)) != join(join(zero,X_67),X2)
| join(X_67,join(zero,X2)) = join(zero,join(X_67,X2)) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_67),X2),join(zero,join(X_67,X2))) )],[refute_0_6767,refute_0_6768]) ).
cnf(refute_0_6770,plain,
( join(zero,join(join(X_67,zero),X2)) != join(join(zero,X_67),X2)
| join(X_67,join(zero,X2)) = join(zero,join(X_67,X2)) ),
inference(resolve,[$cnf( $equal(join(X_67,join(zero,X2)),join(join(zero,X_67),X2)) )],[refute_0_6766,refute_0_6769]) ).
cnf(refute_0_6771,plain,
join(X_67,join(zero,X2)) = join(zero,join(X_67,X2)),
inference(resolve,[$cnf( $equal(join(zero,join(join(X_67,zero),X2)),join(join(zero,X_67),X2)) )],[refute_0_6737,refute_0_6770]) ).
cnf(refute_0_6772,plain,
join(converse(complement(one)),join(zero,complement(converse(composition(top,zero))))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),
inference(subst,[],[refute_0_6771:[bind(X2,$fot(complement(converse(composition(top,zero))))),bind(X_67,$fot(converse(complement(one))))]]) ).
cnf(refute_0_6773,plain,
converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) = join(converse(complement(one)),join(zero,complement(converse(composition(top,zero))))),
inference(subst,[],[refute_0_400:[bind(X0,$fot(join(zero,complement(converse(composition(top,zero)))))),bind(X_4,$fot(complement(one)))]]) ).
cnf(refute_0_6774,plain,
( converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) != join(converse(complement(one)),join(zero,complement(converse(composition(top,zero)))))
| join(converse(complement(one)),join(zero,complement(converse(composition(top,zero))))) != join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))
| converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))))),bind(Y,$fot(join(converse(complement(one)),join(zero,complement(converse(composition(top,zero))))))),bind(Z,$fot(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6775,plain,
( join(converse(complement(one)),join(zero,complement(converse(composition(top,zero))))) != join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))
| converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))),join(converse(complement(one)),join(zero,complement(converse(composition(top,zero)))))) )],[refute_0_6773,refute_0_6774]) ).
cnf(refute_0_6776,plain,
converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(zero,complement(converse(composition(top,zero))))),join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))) )],[refute_0_6772,refute_0_6775]) ).
cnf(refute_0_6777,plain,
( converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) != join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))
| converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))))
| converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))))),bind(Y,$fot(converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))))),bind(Z,$fot(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6778,plain,
( converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))) != join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))
| converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))),converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero)))))))) )],[refute_0_6717,refute_0_6777]) ).
cnf(refute_0_6779,plain,
converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) = join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(join(zero,complement(converse(composition(top,zero))))))),join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))) )],[refute_0_6776,refute_0_6778]) ).
cnf(refute_0_6780,plain,
( converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != converse(top)
| converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))),converse(top)) ),[0],$fot(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6781,plain,
( converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != converse(top)
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))),join(zero,join(converse(complement(one)),complement(converse(composition(top,zero)))))) )],[refute_0_6779,refute_0_6780]) ).
cnf(refute_0_6782,plain,
( converse(top) != top
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) != converse(top)
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_6783,plain,
( join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) != converse(top)
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_6782]) ).
cnf(refute_0_6784,plain,
( converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))) != converse(top)
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),converse(top)) )],[refute_0_6781,refute_0_6783]) ).
cnf(refute_0_6785,plain,
join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(composition(top,zero))))),complement(one))),converse(top)) )],[refute_0_6732,refute_0_6784]) ).
cnf(refute_0_6786,plain,
join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) = join(converse(complement(one)),complement(converse(composition(top,zero)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(join(converse(complement(one)),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6787,plain,
( join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) != join(converse(complement(one)),complement(converse(composition(top,zero))))
| join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) != top
| join(converse(complement(one)),complement(converse(composition(top,zero)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),top) ),[0],$fot(join(converse(complement(one)),complement(converse(composition(top,zero)))))]]) ).
cnf(refute_0_6788,plain,
( join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))) != top
| join(converse(complement(one)),complement(converse(composition(top,zero)))) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),join(converse(complement(one)),complement(converse(composition(top,zero))))) )],[refute_0_6786,refute_0_6787]) ).
cnf(refute_0_6789,plain,
join(converse(complement(one)),complement(converse(composition(top,zero)))) = top,
inference(resolve,[$cnf( $equal(join(zero,join(converse(complement(one)),complement(converse(composition(top,zero))))),top) )],[refute_0_6785,refute_0_6788]) ).
cnf(refute_0_6790,plain,
join(complement(one),complement(converse(composition(top,zero)))) = complement(meet(one,converse(composition(top,zero)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(converse(composition(top,zero))))]]) ).
cnf(refute_0_6791,plain,
join(converse(complement(one)),complement(converse(composition(top,zero)))) = join(converse(complement(one)),complement(converse(composition(top,zero)))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),complement(converse(composition(top,zero)))))]]) ).
cnf(refute_0_6792,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),complement(converse(composition(top,zero)))) != join(converse(complement(one)),complement(converse(composition(top,zero))))
| join(converse(complement(one)),complement(converse(composition(top,zero)))) = join(complement(one),complement(converse(composition(top,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,zero)))),join(converse(complement(one)),complement(converse(composition(top,zero))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6793,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),complement(converse(composition(top,zero)))) = join(complement(one),complement(converse(composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,zero)))),join(converse(complement(one)),complement(converse(composition(top,zero))))) )],[refute_0_6791,refute_0_6792]) ).
cnf(refute_0_6794,plain,
join(converse(complement(one)),complement(converse(composition(top,zero)))) = join(complement(one),complement(converse(composition(top,zero)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_6793]) ).
cnf(refute_0_6795,plain,
( join(complement(one),complement(converse(composition(top,zero)))) != complement(meet(one,converse(composition(top,zero))))
| join(converse(complement(one)),complement(converse(composition(top,zero)))) != join(complement(one),complement(converse(composition(top,zero))))
| join(converse(complement(one)),complement(converse(composition(top,zero)))) = complement(meet(one,converse(composition(top,zero)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),complement(converse(composition(top,zero)))))),bind(Y,$fot(join(complement(one),complement(converse(composition(top,zero)))))),bind(Z,$fot(complement(meet(one,converse(composition(top,zero))))))]]) ).
cnf(refute_0_6796,plain,
( join(complement(one),complement(converse(composition(top,zero)))) != complement(meet(one,converse(composition(top,zero))))
| join(converse(complement(one)),complement(converse(composition(top,zero)))) = complement(meet(one,converse(composition(top,zero)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,zero)))),join(complement(one),complement(converse(composition(top,zero))))) )],[refute_0_6794,refute_0_6795]) ).
cnf(refute_0_6797,plain,
join(converse(complement(one)),complement(converse(composition(top,zero)))) = complement(meet(one,converse(composition(top,zero)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(top,zero)))),complement(meet(one,converse(composition(top,zero))))) )],[refute_0_6790,refute_0_6796]) ).
cnf(refute_0_6798,plain,
( join(converse(complement(one)),complement(converse(composition(top,zero)))) != complement(meet(one,converse(composition(top,zero))))
| join(converse(complement(one)),complement(converse(composition(top,zero)))) != top
| complement(meet(one,converse(composition(top,zero)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,zero)))),top) ),[0],$fot(complement(meet(one,converse(composition(top,zero)))))]]) ).
cnf(refute_0_6799,plain,
( join(converse(complement(one)),complement(converse(composition(top,zero)))) != top
| complement(meet(one,converse(composition(top,zero)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,zero)))),complement(meet(one,converse(composition(top,zero))))) )],[refute_0_6797,refute_0_6798]) ).
cnf(refute_0_6800,plain,
complement(meet(one,converse(composition(top,zero)))) = top,
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(top,zero)))),top) )],[refute_0_6789,refute_0_6799]) ).
cnf(refute_0_6801,plain,
( complement(meet(one,converse(composition(top,zero)))) != top
| meet(one,converse(composition(top,zero))) != complement(complement(meet(one,converse(composition(top,zero)))))
| meet(one,converse(composition(top,zero))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(composition(top,zero))),complement(complement(meet(one,converse(composition(top,zero)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6802,plain,
( meet(one,converse(composition(top,zero))) != complement(complement(meet(one,converse(composition(top,zero)))))
| meet(one,converse(composition(top,zero))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(top,zero)))),top) )],[refute_0_6800,refute_0_6801]) ).
cnf(refute_0_6803,plain,
meet(one,converse(composition(top,zero))) = complement(top),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(top,zero))),complement(complement(meet(one,converse(composition(top,zero)))))) )],[refute_0_6716,refute_0_6802]) ).
cnf(refute_0_6804,plain,
( complement(top) != zero
| meet(one,converse(composition(top,zero))) != complement(top)
| meet(one,converse(composition(top,zero))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(composition(top,zero))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_6805,plain,
( meet(one,converse(composition(top,zero))) != complement(top)
| meet(one,converse(composition(top,zero))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6804]) ).
cnf(refute_0_6806,plain,
meet(one,converse(composition(top,zero))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(composition(top,zero))),complement(top)) )],[refute_0_6803,refute_0_6805]) ).
cnf(refute_0_6807,plain,
( converse(composition(top,zero)) != join(meet(one,converse(composition(top,zero))),meet(converse(composition(top,zero)),complement(one)))
| meet(one,converse(composition(top,zero))) != zero
| converse(composition(top,zero)) = join(zero,meet(converse(composition(top,zero)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,zero)),join(meet(one,converse(composition(top,zero))),meet(converse(composition(top,zero)),complement(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6808,plain,
( converse(composition(top,zero)) != join(meet(one,converse(composition(top,zero))),meet(converse(composition(top,zero)),complement(one)))
| converse(composition(top,zero)) = join(zero,meet(converse(composition(top,zero)),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(top,zero))),zero) )],[refute_0_6806,refute_0_6807]) ).
cnf(refute_0_6809,plain,
converse(composition(top,zero)) = join(zero,meet(converse(composition(top,zero)),complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),join(meet(one,converse(composition(top,zero))),meet(converse(composition(top,zero)),complement(one)))) )],[refute_0_6715,refute_0_6808]) ).
cnf(refute_0_6810,plain,
meet(converse(composition(top,zero)),complement(one)) = meet(complement(one),converse(composition(top,zero))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(one))),bind(X_28,$fot(converse(composition(top,zero))))]]) ).
cnf(refute_0_6811,plain,
join(zero,meet(converse(composition(top,zero)),complement(one))) = meet(converse(composition(top,zero)),complement(one)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(converse(composition(top,zero)),complement(one))))]]) ).
cnf(refute_0_6812,plain,
( join(zero,meet(converse(composition(top,zero)),complement(one))) != meet(converse(composition(top,zero)),complement(one))
| meet(converse(composition(top,zero)),complement(one)) != meet(complement(one),converse(composition(top,zero)))
| join(zero,meet(converse(composition(top,zero)),complement(one))) = meet(complement(one),converse(composition(top,zero))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(converse(composition(top,zero)),complement(one))))),bind(Y,$fot(meet(converse(composition(top,zero)),complement(one)))),bind(Z,$fot(meet(complement(one),converse(composition(top,zero)))))]]) ).
cnf(refute_0_6813,plain,
( meet(converse(composition(top,zero)),complement(one)) != meet(complement(one),converse(composition(top,zero)))
| join(zero,meet(converse(composition(top,zero)),complement(one))) = meet(complement(one),converse(composition(top,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(composition(top,zero)),complement(one))),meet(converse(composition(top,zero)),complement(one))) )],[refute_0_6811,refute_0_6812]) ).
cnf(refute_0_6814,plain,
join(zero,meet(converse(composition(top,zero)),complement(one))) = meet(complement(one),converse(composition(top,zero))),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,zero)),complement(one)),meet(complement(one),converse(composition(top,zero)))) )],[refute_0_6810,refute_0_6813]) ).
cnf(refute_0_6815,plain,
( converse(composition(top,zero)) != join(zero,meet(converse(composition(top,zero)),complement(one)))
| join(zero,meet(converse(composition(top,zero)),complement(one))) != meet(complement(one),converse(composition(top,zero)))
| converse(composition(top,zero)) = meet(complement(one),converse(composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(top,zero)),meet(complement(one),converse(composition(top,zero)))) ),[0],$fot(join(zero,meet(converse(composition(top,zero)),complement(one))))]]) ).
cnf(refute_0_6816,plain,
( converse(composition(top,zero)) != join(zero,meet(converse(composition(top,zero)),complement(one)))
| converse(composition(top,zero)) = meet(complement(one),converse(composition(top,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(composition(top,zero)),complement(one))),meet(complement(one),converse(composition(top,zero)))) )],[refute_0_6814,refute_0_6815]) ).
cnf(refute_0_6817,plain,
converse(composition(top,zero)) = meet(complement(one),converse(composition(top,zero))),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),join(zero,meet(converse(composition(top,zero)),complement(one)))) )],[refute_0_6809,refute_0_6816]) ).
cnf(refute_0_6818,plain,
( converse(composition(top,zero)) != meet(complement(one),converse(composition(top,zero)))
| meet(complement(one),converse(composition(top,zero))) = converse(composition(top,zero)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,zero)))),bind(Y,$fot(meet(complement(one),converse(composition(top,zero)))))]]) ).
cnf(refute_0_6819,plain,
meet(complement(one),converse(composition(top,zero))) = converse(composition(top,zero)),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),meet(complement(one),converse(composition(top,zero)))) )],[refute_0_6817,refute_0_6818]) ).
cnf(refute_0_6820,plain,
( complement(one) != join(meet(complement(one),converse(composition(top,zero))),meet(complement(converse(composition(top,zero))),complement(one)))
| meet(complement(one),converse(composition(top,zero))) != converse(composition(top,zero))
| complement(one) = join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(meet(complement(one),converse(composition(top,zero))),meet(complement(converse(composition(top,zero))),complement(one)))) ),[1,0],$fot(converse(composition(top,zero)))]]) ).
cnf(refute_0_6821,plain,
( complement(one) != join(meet(complement(one),converse(composition(top,zero))),meet(complement(converse(composition(top,zero))),complement(one)))
| complement(one) = join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(top,zero))),converse(composition(top,zero))) )],[refute_0_6819,refute_0_6820]) ).
cnf(refute_0_6822,plain,
complement(one) = join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(meet(complement(one),converse(composition(top,zero))),meet(complement(converse(composition(top,zero))),complement(one)))) )],[refute_0_6714,refute_0_6821]) ).
cnf(refute_0_6823,plain,
meet(complement(converse(composition(top,zero))),complement(one)) = meet(complement(one),complement(converse(composition(top,zero)))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(one))),bind(X_28,$fot(complement(converse(composition(top,zero)))))]]) ).
cnf(refute_0_6824,plain,
join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) = join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))))]]) ).
cnf(refute_0_6825,plain,
( join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) != join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one)))
| meet(complement(converse(composition(top,zero))),complement(one)) != meet(complement(one),complement(converse(composition(top,zero))))
| join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) = join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))),join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one)))) ),[1,1],$fot(meet(complement(one),complement(converse(composition(top,zero)))))]]) ).
cnf(refute_0_6826,plain,
( meet(complement(converse(composition(top,zero))),complement(one)) != meet(complement(one),complement(converse(composition(top,zero))))
| join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) = join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))),join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one)))) )],[refute_0_6824,refute_0_6825]) ).
cnf(refute_0_6827,plain,
join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) = join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,zero))),complement(one)),meet(complement(one),complement(converse(composition(top,zero))))) )],[refute_0_6823,refute_0_6826]) ).
cnf(refute_0_6828,plain,
( complement(one) != join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one)))
| join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))) != join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))
| complement(one) = join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))) ),[0],$fot(join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))))]]) ).
cnf(refute_0_6829,plain,
( complement(one) != join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one)))
| complement(one) = join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one))),join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))) )],[refute_0_6827,refute_0_6828]) ).
cnf(refute_0_6830,plain,
complement(one) = join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))),
inference(resolve,[$cnf( $equal(complement(one),join(converse(composition(top,zero)),meet(complement(converse(composition(top,zero))),complement(one)))) )],[refute_0_6822,refute_0_6829]) ).
cnf(refute_0_6831,plain,
( complement(one) != join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))
| join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6832,plain,
join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))) )],[refute_0_6830,refute_0_6831]) ).
cnf(refute_0_6833,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))))
| join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))) != complement(one)
| converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))),converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6834,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))))
| converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))),complement(one)) )],[refute_0_6832,refute_0_6833]) ).
cnf(refute_0_6835,plain,
converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))),converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6713,refute_0_6834]) ).
cnf(refute_0_6836,plain,
converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))) = join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(composition(top,zero))),bind(X_5,$fot(meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6837,plain,
( converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))) != join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))))
| converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))))),bind(Y,$fot(converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))))),bind(Z,$fot(join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))))]]) ).
cnf(refute_0_6838,plain,
( converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))) != join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))),converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6713,refute_0_6837]) ).
cnf(refute_0_6839,plain,
converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) = join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(top,zero)),meet(complement(one),complement(converse(composition(top,zero)))))),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6836,refute_0_6838]) ).
cnf(refute_0_6840,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != converse(complement(one))
| converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = converse(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))),converse(complement(one))) ),[0],$fot(join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6841,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != converse(complement(one))
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = converse(complement(one)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6839,refute_0_6840]) ).
cnf(refute_0_6842,plain,
( converse(complement(one)) != complement(one)
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) != converse(complement(one))
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))),converse(complement(one))) ),[1],$fot(complement(one))]]) ).
cnf(refute_0_6843,plain,
( join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) != converse(complement(one))
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_6842]) ).
cnf(refute_0_6844,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))) != converse(complement(one))
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))),converse(complement(one))) )],[refute_0_6841,refute_0_6843]) ).
cnf(refute_0_6845,plain,
join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = complement(one),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),converse(composition(top,zero)))),converse(complement(one))) )],[refute_0_6835,refute_0_6844]) ).
cnf(refute_0_6846,plain,
( join(complement(one),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))) != complement(one)
| join(complement(one),complement(one)) = join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))),join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))) ),[0,1],$fot(complement(one))]]) ).
cnf(refute_0_6847,plain,
( join(complement(one),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| join(complement(one),complement(one)) = join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero)))))),complement(one)) )],[refute_0_6845,refute_0_6846]) ).
cnf(refute_0_6848,plain,
join(complement(one),complement(one)) = join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(composition(top,zero),converse(meet(complement(one),complement(converse(composition(top,zero))))))),join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6712,refute_0_6847]) ).
cnf(refute_0_6849,plain,
complement(complement(X_28)) = X_28,
inference(subst,[],[refute_0_292:[bind(X1,$fot(X_28))]]) ).
cnf(refute_0_6850,plain,
( complement(complement(X_28)) != X_28
| meet(X_28,X_28) != complement(complement(X_28))
| meet(X_28,X_28) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_28,X_28),complement(complement(X_28))) ),[1],$fot(X_28)]]) ).
cnf(refute_0_6851,plain,
( meet(X_28,X_28) != complement(complement(X_28))
| meet(X_28,X_28) = X_28 ),
inference(resolve,[$cnf( $equal(complement(complement(X_28)),X_28) )],[refute_0_6849,refute_0_6850]) ).
cnf(refute_0_6852,plain,
meet(X_28,X_28) = X_28,
inference(resolve,[$cnf( $equal(meet(X_28,X_28),complement(complement(X_28))) )],[refute_0_178,refute_0_6851]) ).
cnf(refute_0_6853,plain,
meet(one,one) = one,
inference(subst,[],[refute_0_6852:[bind(X_28,$fot(one))]]) ).
cnf(refute_0_6854,plain,
complement(meet(one,one)) = complement(meet(one,one)),
introduced(tautology,[refl,[$fot(complement(meet(one,one)))]]) ).
cnf(refute_0_6855,plain,
( complement(meet(one,one)) != complement(meet(one,one))
| meet(one,one) != one
| complement(meet(one,one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,one)),complement(meet(one,one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6856,plain,
( meet(one,one) != one
| complement(meet(one,one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(one,one)),complement(meet(one,one))) )],[refute_0_6854,refute_0_6855]) ).
cnf(refute_0_6857,plain,
complement(meet(one,one)) = complement(one),
inference(resolve,[$cnf( $equal(meet(one,one),one) )],[refute_0_6853,refute_0_6856]) ).
cnf(refute_0_6858,plain,
join(complement(one),complement(one)) = complement(meet(one,one)),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(one))]]) ).
cnf(refute_0_6859,plain,
( complement(meet(one,one)) != complement(one)
| join(complement(one),complement(one)) != complement(meet(one,one))
| join(complement(one),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),complement(one)))),bind(Y,$fot(complement(meet(one,one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_6860,plain,
( complement(meet(one,one)) != complement(one)
| join(complement(one),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(one)),complement(meet(one,one))) )],[refute_0_6858,refute_0_6859]) ).
cnf(refute_0_6861,plain,
join(complement(one),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(complement(meet(one,one)),complement(one)) )],[refute_0_6857,refute_0_6860]) ).
cnf(refute_0_6862,plain,
( join(complement(one),complement(one)) != complement(one)
| join(complement(one),complement(one)) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| complement(one) = join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(one)),join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))) ),[0],$fot(complement(one))]]) ).
cnf(refute_0_6863,plain,
( join(complement(one),complement(one)) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| complement(one) = join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(one)),complement(one)) )],[refute_0_6861,refute_0_6862]) ).
cnf(refute_0_6864,plain,
converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one))) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6865,plain,
join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one))),
inference(subst,[],[refute_0_5670:[bind(X_4,$fot(meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6866,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one))) != converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))
| join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) != converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one)))
| join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))))),bind(Y,$fot(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one))))),bind(Z,$fot(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))]]) ).
cnf(refute_0_6867,plain,
( converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one))) != converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))
| join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))),converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one)))) )],[refute_0_6865,refute_0_6866]) ).
cnf(refute_0_6868,plain,
join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(one),complement(converse(composition(top,zero)))),complement(one))),converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6864,refute_0_6867]) ).
cnf(refute_0_6869,plain,
( complement(one) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))) != converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))
| complement(one) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))) ),[0],$fot(join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6870,plain,
( complement(one) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| complement(one) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero)))))),converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6868,refute_0_6869]) ).
cnf(refute_0_6871,plain,
( join(complement(one),complement(one)) != join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))
| complement(one) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6863,refute_0_6870]) ).
cnf(refute_0_6872,plain,
complement(one) = converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(one)),join(complement(one),converse(meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6848,refute_0_6871]) ).
cnf(refute_0_6873,plain,
( complement(one) != converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))
| converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))]]) ).
cnf(refute_0_6874,plain,
converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6872,refute_0_6873]) ).
cnf(refute_0_6875,plain,
( converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) != complement(one)
| converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != join(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),converse(X1))
| converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = join(complement(one),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),join(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),converse(X1))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6876,plain,
( converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != join(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),converse(X1))
| converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = join(complement(one),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),complement(one)) )],[refute_0_6874,refute_0_6875]) ).
cnf(refute_0_6877,plain,
converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = join(complement(one),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),join(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),converse(X1))) )],[refute_0_6711,refute_0_6876]) ).
cnf(refute_0_6878,plain,
join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1) = join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(complement(one),complement(converse(composition(top,zero)))))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_6879,plain,
converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)))]]) ).
cnf(refute_0_6880,plain,
( converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1))
| join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1) != join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))
| converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1))) ),[1,0],$fot(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)))]]) ).
cnf(refute_0_6881,plain,
( join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1) != join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))
| converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1))) )],[refute_0_6879,refute_0_6880]) ).
cnf(refute_0_6882,plain,
converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) = converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),
inference(resolve,[$cnf( $equal(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1),join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) )],[refute_0_6878,refute_0_6881]) ).
cnf(refute_0_6883,plain,
( converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)))
| converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != join(complement(one),converse(X1))
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = join(complement(one),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),join(complement(one),converse(X1))) ),[0],$fot(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))))]]) ).
cnf(refute_0_6884,plain,
( converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != join(complement(one),converse(X1))
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = join(complement(one),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)))) )],[refute_0_6882,refute_0_6883]) ).
cnf(refute_0_6885,plain,
join(complement(one),converse(X1)) = converse(join(X1,complement(one))),
inference(subst,[],[refute_0_5670:[bind(X_4,$fot(X1))]]) ).
cnf(refute_0_6886,plain,
( converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) != join(complement(one),converse(X1))
| join(complement(one),converse(X1)) != converse(join(X1,complement(one)))
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(X1,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),converse(join(X1,complement(one)))) ),[0],$fot(join(complement(one),converse(X1)))]]) ).
cnf(refute_0_6887,plain,
( converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) != join(complement(one),converse(X1))
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(X1,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(X1)),converse(join(X1,complement(one)))) )],[refute_0_6885,refute_0_6886]) ).
cnf(refute_0_6888,plain,
( converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)) != join(complement(one),converse(X1))
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(X1,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),join(complement(one),converse(X1))) )],[refute_0_6884,refute_0_6887]) ).
cnf(refute_0_6889,plain,
converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(X1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X1)),join(complement(one),converse(X1))) )],[refute_0_6877,refute_0_6888]) ).
cnf(refute_0_6890,plain,
join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)) = join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6891,plain,
join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))) = complement(one),
inference(subst,[],[refute_0_3508:[bind(X0,$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6892,plain,
( converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) != complement(one)
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))) != complement(one)
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))),complement(one)) ),[0,1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_6893,plain,
( join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))) != complement(one)
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),complement(one)) )],[refute_0_6874,refute_0_6892]) ).
cnf(refute_0_6894,plain,
join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(converse(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))))),complement(one)) )],[refute_0_6891,refute_0_6893]) ).
cnf(refute_0_6895,plain,
join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(complement(one))),bind(X_133,$fot(meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6896,plain,
composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),
inference(subst,[],[refute_0_64:[bind(X0,$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6897,plain,
composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))),
introduced(tautology,[refl,[$fot(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))))]]) ).
cnf(refute_0_6898,plain,
( complement(complement(one)) != one
| composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) != composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))
| composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_6899,plain,
( complement(complement(one)) != one
| composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) )],[refute_0_6897,refute_0_6898]) ).
cnf(refute_0_6900,plain,
composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_6899]) ).
cnf(refute_0_6901,plain,
( composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) != composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one)
| composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))))),bind(Y,$fot(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one))),bind(Z,$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6902,plain,
( composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one)) )],[refute_0_6900,refute_0_6901]) ).
cnf(refute_0_6903,plain,
composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) )],[refute_0_6896,refute_0_6902]) ).
cnf(refute_0_6904,plain,
join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))))]]) ).
cnf(refute_0_6905,plain,
( composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) != join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))))
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))))) ),[1,1],$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6906,plain,
( composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))))) )],[refute_0_6904,refute_0_6905]) ).
cnf(refute_0_6907,plain,
join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one))),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) )],[refute_0_6903,refute_0_6906]) ).
cnf(refute_0_6908,plain,
( join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) != join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))
| join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))))),bind(Y,$fot(join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))))),bind(Z,$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))))]]) ).
cnf(refute_0_6909,plain,
( join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))) )],[refute_0_6907,refute_0_6908]) ).
cnf(refute_0_6910,plain,
join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) = join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) )],[refute_0_6895,refute_0_6909]) ).
cnf(refute_0_6911,plain,
( join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) != complement(one)
| join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) != join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))
| join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),complement(one)) ),[0],$fot(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_6912,plain,
( join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))) != complement(one)
| join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),join(complement(one),meet(complement(one),complement(converse(composition(top,zero)))))) )],[refute_0_6910,refute_0_6911]) ).
cnf(refute_0_6913,plain,
join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(complement(one)))),complement(one)) )],[refute_0_6894,refute_0_6912]) ).
cnf(refute_0_6914,plain,
( join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)) != join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X2)
| join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))) != complement(one)
| join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)) = join(complement(one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)),join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X2)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6915,plain,
( join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)) != join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X2)
| join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)) = join(complement(one),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),complement(one)) )],[refute_0_6913,refute_0_6914]) ).
cnf(refute_0_6916,plain,
join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)) = join(complement(one),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X2)),join(join(complement(one),meet(complement(one),complement(converse(composition(top,zero))))),X2)) )],[refute_0_6890,refute_0_6915]) ).
cnf(refute_0_6917,plain,
join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)) = join(complement(one),X1),
inference(subst,[],[refute_0_6916:[bind(X2,$fot(X1))]]) ).
cnf(refute_0_6918,plain,
converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))))]]) ).
cnf(refute_0_6919,plain,
( converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) != converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)))
| join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)) != join(complement(one),X1)
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(complement(one),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)))) ),[1,0],$fot(join(complement(one),X1))]]) ).
cnf(refute_0_6920,plain,
( join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)) != join(complement(one),X1)
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(complement(one),X1)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)))) )],[refute_0_6918,refute_0_6919]) ).
cnf(refute_0_6921,plain,
converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) = converse(join(complement(one),X1)),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1)),join(complement(one),X1)) )],[refute_0_6917,refute_0_6920]) ).
cnf(refute_0_6922,plain,
( converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) != converse(join(X1,complement(one)))
| converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) != converse(join(complement(one),X1))
| converse(join(complement(one),X1)) = converse(join(X1,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),converse(join(X1,complement(one)))) ),[0],$fot(converse(join(complement(one),X1)))]]) ).
cnf(refute_0_6923,plain,
( converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))) != converse(join(X1,complement(one)))
| converse(join(complement(one),X1)) = converse(join(X1,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),converse(join(complement(one),X1))) )],[refute_0_6921,refute_0_6922]) ).
cnf(refute_0_6924,plain,
converse(join(complement(one),X1)) = converse(join(X1,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),complement(converse(composition(top,zero)))),X1))),converse(join(X1,complement(one)))) )],[refute_0_6889,refute_0_6923]) ).
cnf(refute_0_6925,plain,
( converse(join(complement(one),X1)) != converse(join(X1,complement(one)))
| converse(join(X1,complement(one))) = converse(join(complement(one),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(complement(one),X1)))),bind(Y,$fot(converse(join(X1,complement(one)))))]]) ).
cnf(refute_0_6926,plain,
converse(join(X1,complement(one))) = converse(join(complement(one),X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),X1)),converse(join(X1,complement(one)))) )],[refute_0_6924,refute_0_6925]) ).
cnf(refute_0_6927,plain,
converse(join(join(X_4,converse(X0)),complement(one))) = converse(join(complement(one),join(X_4,converse(X0)))),
inference(subst,[],[refute_0_6926:[bind(X1,$fot(join(X_4,converse(X0))))]]) ).
cnf(refute_0_6928,plain,
( converse(join(complement(one),join(X_4,converse(X0)))) != join(converse(join(complement(one),X_4)),X0)
| converse(join(join(X_4,converse(X0)),complement(one))) != converse(join(complement(one),join(X_4,converse(X0))))
| converse(join(join(X_4,converse(X0)),complement(one))) = join(converse(join(complement(one),X_4)),X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(X_4,converse(X0)),complement(one))))),bind(Y,$fot(converse(join(complement(one),join(X_4,converse(X0)))))),bind(Z,$fot(join(converse(join(complement(one),X_4)),X0)))]]) ).
cnf(refute_0_6929,plain,
( converse(join(complement(one),join(X_4,converse(X0)))) != join(converse(join(complement(one),X_4)),X0)
| converse(join(join(X_4,converse(X0)),complement(one))) = join(converse(join(complement(one),X_4)),X0) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_4,converse(X0)),complement(one))),converse(join(complement(one),join(X_4,converse(X0))))) )],[refute_0_6927,refute_0_6928]) ).
cnf(refute_0_6930,plain,
converse(join(join(X_4,converse(X0)),complement(one))) = join(converse(join(complement(one),X_4)),X0),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_4,converse(X0)))),join(converse(join(complement(one),X_4)),X0)) )],[refute_0_6710,refute_0_6929]) ).
cnf(refute_0_6931,plain,
( converse(join(join(X_4,converse(X0)),complement(one))) != join(complement(one),join(converse(X_4),X0))
| converse(join(join(X_4,converse(X0)),complement(one))) != join(converse(join(complement(one),X_4)),X0)
| join(converse(join(complement(one),X_4)),X0) = join(complement(one),join(converse(X_4),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_4,converse(X0)),complement(one))),join(complement(one),join(converse(X_4),X0))) ),[0],$fot(join(converse(join(complement(one),X_4)),X0))]]) ).
cnf(refute_0_6932,plain,
( converse(join(join(X_4,converse(X0)),complement(one))) != join(complement(one),join(converse(X_4),X0))
| join(converse(join(complement(one),X_4)),X0) = join(complement(one),join(converse(X_4),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_4,converse(X0)),complement(one))),join(converse(join(complement(one),X_4)),X0)) )],[refute_0_6930,refute_0_6931]) ).
cnf(refute_0_6933,plain,
join(converse(join(complement(one),X_4)),X0) = join(complement(one),join(converse(X_4),X0)),
inference(resolve,[$cnf( $equal(converse(join(join(X_4,converse(X0)),complement(one))),join(complement(one),join(converse(X_4),X0))) )],[refute_0_6709,refute_0_6932]) ).
cnf(refute_0_6934,plain,
join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),
inference(subst,[],[refute_0_6933:[bind(X0,$fot(X_566)),bind(X_4,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6935,plain,
join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) = join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566),
inference(subst,[],[refute_0_4509:[bind(X0,$fot(complement(one))),bind(X_21,$fot(X_566)),bind(X_22,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6936,plain,
( join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) != join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566)
| join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)))),bind(Y,$fot(join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566))),bind(Z,$fot(join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))))]]) ).
cnf(refute_0_6937,plain,
( join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566)) )],[refute_0_6935,refute_0_6936]) ).
cnf(refute_0_6938,plain,
join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_566),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) )],[refute_0_6934,refute_0_6937]) ).
cnf(refute_0_6939,plain,
( join(complement(one),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(complement(one),X_566) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),X_566),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) ),[0],$fot(join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)))]]) ).
cnf(refute_0_6940,plain,
( join(complement(one),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(complement(one),X_566) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) )],[refute_0_6938,refute_0_6939]) ).
cnf(refute_0_6941,plain,
( join(converse(complement(one)),X_566) != join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))
| join(complement(one),X_566) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(complement(one),X_566),join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) )],[refute_0_6705,refute_0_6940]) ).
cnf(refute_0_6942,plain,
join(complement(one),X_566) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_566),join(converse(complement(one)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X_566))) )],[refute_0_6699,refute_0_6941]) ).
cnf(refute_0_6943,plain,
join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6942:[bind(X_566,$fot(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6944,plain,
( join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6945,plain,
join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_6943,refute_0_6944]) ).
cnf(refute_0_6946,plain,
( join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) ),[1],$fot(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6947,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6945,refute_0_6946]) ).
cnf(refute_0_6948,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_6244,refute_0_6947]) ).
cnf(refute_0_6949,plain,
join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) = join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5),
introduced(tautology,[refl,[$fot(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5))]]) ).
cnf(refute_0_6950,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) != join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) = join(complement(composition(skolemFOFtoCNF_X0,top)),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5),join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_6951,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) = join(complement(composition(skolemFOFtoCNF_X0,top)),X_5) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5),join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) )],[refute_0_6949,refute_0_6950]) ).
cnf(refute_0_6952,plain,
join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) = join(complement(composition(skolemFOFtoCNF_X0,top)),X_5),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5517,refute_0_6951]) ).
cnf(refute_0_6953,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)))]]) ).
cnf(refute_0_6954,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) != converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5))
| join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) != join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5))) ),[1,0],$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5))]]) ).
cnf(refute_0_6955,plain,
( join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5) != join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5))) )],[refute_0_6953,refute_0_6954]) ).
cnf(refute_0_6956,plain,
converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5),join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) )],[refute_0_6952,refute_0_6955]) ).
cnf(refute_0_6957,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5))
| converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))) ),[0],$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)))]]) ).
cnf(refute_0_6958,plain,
( converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5))) )],[refute_0_6956,refute_0_6957]) ).
cnf(refute_0_6959,plain,
converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(top,skolemFOFtoCNF_X0))),X_5)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))) )],[refute_0_4547,refute_0_6958]) ).
cnf(refute_0_6960,plain,
( converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))
| join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))))]]) ).
cnf(refute_0_6961,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5)) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),X_5)),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(X_5))) )],[refute_0_6959,refute_0_6960]) ).
cnf(refute_0_6962,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6961:[bind(X_5,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6963,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X_95,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6964,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6965,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6963,refute_0_6964]) ).
cnf(refute_0_6966,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6962,refute_0_6965]) ).
cnf(refute_0_6967,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) = composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X1,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6968,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_6969,plain,
( composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[0,1,1,0,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6970,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2330,refute_0_6969]) ).
cnf(refute_0_6971,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_6968,refute_0_6970]) ).
cnf(refute_0_6972,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6973,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6974,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6972,refute_0_6973]) ).
cnf(refute_0_6975,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4576,refute_0_6974]) ).
cnf(refute_0_6976,plain,
join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) = join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(one)),bind(X_133,$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_6977,plain,
composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6978,plain,
( composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_6979,plain,
( join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) != join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6977,refute_0_6978]) ).
cnf(refute_0_6980,plain,
composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_6976,refute_0_6979]) ).
cnf(refute_0_6981,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6982,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6980,refute_0_6981]) ).
cnf(refute_0_6983,plain,
composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_6975,refute_0_6982]) ).
cnf(refute_0_6984,plain,
composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) = composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X1,$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6985,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X_146,$fot(complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6986,plain,
( composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6987,plain,
( composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))),composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6985,refute_0_6986]) ).
cnf(refute_0_6988,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),one),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6984,refute_0_6987]) ).
cnf(refute_0_6989,plain,
( composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6990,plain,
( composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))),composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_6988,refute_0_6989]) ).
cnf(refute_0_6991,plain,
join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_6983,refute_0_6990]) ).
cnf(refute_0_6992,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6993,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) = complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_6991,refute_0_6992]) ).
cnf(refute_0_6994,plain,
( complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))) != converse(composition(top,skolemFOFtoCNF_X0))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) ),[1],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6995,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_4576,refute_0_6994]) ).
cnf(refute_0_6996,plain,
( join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))) != complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_6993,refute_0_6995]) ).
cnf(refute_0_6997,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_6971,refute_0_6996]) ).
cnf(refute_0_6998,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))) != converse(composition(top,skolemFOFtoCNF_X0))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(converse(composition(top,skolemFOFtoCNF_X0))) = composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[0,0],$fot(converse(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6999,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(converse(composition(top,skolemFOFtoCNF_X0))) = composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_6997,refute_0_6998]) ).
cnf(refute_0_7000,plain,
converse(converse(composition(top,skolemFOFtoCNF_X0))) = composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))),composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_6967,refute_0_6999]) ).
cnf(refute_0_7001,plain,
( converse(converse(composition(top,skolemFOFtoCNF_X0))) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(converse(composition(top,skolemFOFtoCNF_X0))) != composition(top,skolemFOFtoCNF_X0)
| composition(top,skolemFOFtoCNF_X0) = composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,skolemFOFtoCNF_X0))),composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7002,plain,
( converse(converse(composition(top,skolemFOFtoCNF_X0))) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,skolemFOFtoCNF_X0))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_2095,refute_0_7001]) ).
cnf(refute_0_7003,plain,
composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))]]) ).
cnf(refute_0_7004,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) = composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(composition(top,skolemFOFtoCNF_X0))),bind(X_11,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_7005,plain,
( composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) != composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))))]]) ).
cnf(refute_0_7006,plain,
( composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))),composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_7004,refute_0_7005]) ).
cnf(refute_0_7007,plain,
converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
inference(resolve,[$cnf( $equal(composition(composition(top,skolemFOFtoCNF_X0),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_7003,refute_0_7006]) ).
cnf(refute_0_7008,plain,
composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X1,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7009,plain,
( composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))))
| converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))),bind(Y,$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))))]]) ).
cnf(refute_0_7010,plain,
( converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_7008,refute_0_7009]) ).
cnf(refute_0_7011,plain,
composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),converse(composition(top,skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_7007,refute_0_7010]) ).
cnf(refute_0_7012,plain,
( composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| composition(top,skolemFOFtoCNF_X0) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),[1],$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))]]) ).
cnf(refute_0_7013,plain,
( composition(top,skolemFOFtoCNF_X0) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_7011,refute_0_7012]) ).
cnf(refute_0_7014,plain,
( converse(converse(composition(top,skolemFOFtoCNF_X0))) != composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) ),
inference(resolve,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_7002,refute_0_7013]) ).
cnf(refute_0_7015,plain,
composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,skolemFOFtoCNF_X0))),composition(converse(converse(composition(top,skolemFOFtoCNF_X0))),converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) )],[refute_0_7000,refute_0_7014]) ).
cnf(refute_0_7016,plain,
composition(join(X_399,composition(X_399,X_399)),top) = composition(X_399,top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(X_399)),bind(X_397,$fot(X_399))]]) ).
cnf(refute_0_7017,plain,
composition(join(X_399,one),X_399) = join(X_399,composition(X_399,X_399)),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(X_399)),bind(X_146,$fot(X_399))]]) ).
cnf(refute_0_7018,plain,
( composition(join(X_399,one),X_399) != join(X_399,composition(X_399,X_399))
| join(X_399,composition(X_399,X_399)) = composition(join(X_399,one),X_399) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_399,one),X_399))),bind(Y,$fot(join(X_399,composition(X_399,X_399))))]]) ).
cnf(refute_0_7019,plain,
join(X_399,composition(X_399,X_399)) = composition(join(X_399,one),X_399),
inference(resolve,[$cnf( $equal(composition(join(X_399,one),X_399),join(X_399,composition(X_399,X_399))) )],[refute_0_7017,refute_0_7018]) ).
cnf(refute_0_7020,plain,
( composition(join(X_399,composition(X_399,X_399)),top) != composition(X_399,top)
| join(X_399,composition(X_399,X_399)) != composition(join(X_399,one),X_399)
| composition(composition(join(X_399,one),X_399),top) = composition(X_399,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_399,composition(X_399,X_399)),top),composition(X_399,top)) ),[0,0],$fot(composition(join(X_399,one),X_399))]]) ).
cnf(refute_0_7021,plain,
( composition(join(X_399,composition(X_399,X_399)),top) != composition(X_399,top)
| composition(composition(join(X_399,one),X_399),top) = composition(X_399,top) ),
inference(resolve,[$cnf( $equal(join(X_399,composition(X_399,X_399)),composition(join(X_399,one),X_399)) )],[refute_0_7019,refute_0_7020]) ).
cnf(refute_0_7022,plain,
composition(composition(join(X_399,one),X_399),top) = composition(X_399,top),
inference(resolve,[$cnf( $equal(composition(join(X_399,composition(X_399,X_399)),top),composition(X_399,top)) )],[refute_0_7016,refute_0_7021]) ).
cnf(refute_0_7023,plain,
composition(composition(join(X_399,one),X_399),top) = composition(join(X_399,one),composition(X_399,top)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(join(X_399,one))),bind(X1,$fot(X_399)),bind(X2,$fot(top))]]) ).
cnf(refute_0_7024,plain,
( composition(composition(join(X_399,one),X_399),top) != composition(X_399,top)
| composition(composition(join(X_399,one),X_399),top) != composition(join(X_399,one),composition(X_399,top))
| composition(join(X_399,one),composition(X_399,top)) = composition(X_399,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(join(X_399,one),X_399),top),composition(X_399,top)) ),[0],$fot(composition(join(X_399,one),composition(X_399,top)))]]) ).
cnf(refute_0_7025,plain,
( composition(composition(join(X_399,one),X_399),top) != composition(X_399,top)
| composition(join(X_399,one),composition(X_399,top)) = composition(X_399,top) ),
inference(resolve,[$cnf( $equal(composition(composition(join(X_399,one),X_399),top),composition(join(X_399,one),composition(X_399,top))) )],[refute_0_7023,refute_0_7024]) ).
cnf(refute_0_7026,plain,
composition(join(X_399,one),composition(X_399,top)) = composition(X_399,top),
inference(resolve,[$cnf( $equal(composition(composition(join(X_399,one),X_399),top),composition(X_399,top)) )],[refute_0_7022,refute_0_7025]) ).
cnf(refute_0_7027,plain,
composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) = composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top),
inference(subst,[],[refute_0_7026:[bind(X_399,$fot(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_7028,plain,
composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),top) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),bind(X_397,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7029,plain,
composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(skolemFOFtoCNF_X0)),bind(X_145,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7030,plain,
( composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_7031,plain,
( composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_3284,refute_0_7030]) ).
cnf(refute_0_7032,plain,
composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7029,refute_0_7031]) ).
cnf(refute_0_7033,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)))]]) ).
cnf(refute_0_7034,plain,
( composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top))
| converse(top) != top
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7035,plain,
( converse(top) != top
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top))) )],[refute_0_7033,refute_0_7034]) ).
cnf(refute_0_7036,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_7035]) ).
cnf(refute_0_7037,plain,
converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_11,$fot(top))]]) ).
cnf(refute_0_7038,plain,
( composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top))
| converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)))),bind(Z,$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_7039,plain,
( composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top))) )],[refute_0_7037,refute_0_7038]) ).
cnf(refute_0_7040,plain,
converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(top)),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_7036,refute_0_7039]) ).
cnf(refute_0_7041,plain,
complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7042,plain,
( complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))]]) ).
cnf(refute_0_7043,plain,
( converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7041,refute_0_7042]) ).
cnf(refute_0_7044,plain,
complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_7040,refute_0_7043]) ).
cnf(refute_0_7045,plain,
composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7046,plain,
( complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_7047,plain,
( complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7045,refute_0_7046]) ).
cnf(refute_0_7048,plain,
composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7044,refute_0_7047]) ).
cnf(refute_0_7049,plain,
( composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[0],$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_7050,plain,
( composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7048,refute_0_7049]) ).
cnf(refute_0_7051,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7052,plain,
( complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_7053,plain,
( complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7051,refute_0_7052]) ).
cnf(refute_0_7054,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7044,refute_0_7053]) ).
cnf(refute_0_7055,plain,
( complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7056,plain,
( complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_7054,refute_0_7055]) ).
cnf(refute_0_7057,plain,
( composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7050,refute_0_7056]) ).
cnf(refute_0_7058,plain,
complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7032,refute_0_7057]) ).
cnf(refute_0_7059,plain,
( complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) != composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_7060,plain,
composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_7058,refute_0_7059]) ).
cnf(refute_0_7061,plain,
( composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),top),composition(skolemFOFtoCNF_X0,top)) ),[0,0,1],$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_7062,plain,
( composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7060,refute_0_7061]) ).
cnf(refute_0_7063,plain,
composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7028,refute_0_7062]) ).
cnf(refute_0_7064,plain,
( composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) ),[0,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_7065,plain,
( composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7063,refute_0_7064]) ).
cnf(refute_0_7066,plain,
composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) )],[refute_0_7027,refute_0_7065]) ).
cnf(refute_0_7067,plain,
join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) = join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_7068,plain,
composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7069,plain,
( composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top))
| join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)),composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top))) ),[1,0],$fot(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_7070,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) != join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)),composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7068,refute_0_7069]) ).
cnf(refute_0_7071,plain,
composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_7067,refute_0_7070]) ).
cnf(refute_0_7072,plain,
composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_3661:[bind(X_146,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_161,$fot(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))))]]) ).
cnf(refute_0_7073,plain,
( composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top))
| composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))
| composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7074,plain,
( composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))
| composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)),composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7072,refute_0_7073]) ).
cnf(refute_0_7075,plain,
composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(join(one,join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))),composition(skolemFOFtoCNF_X0,top)),composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7071,refute_0_7074]) ).
cnf(refute_0_7076,plain,
( composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))
| composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) ),[0],$fot(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7077,plain,
( composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)),composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7075,refute_0_7076]) ).
cnf(refute_0_7078,plain,
( composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top))]]) ).
cnf(refute_0_7079,plain,
( composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7063,refute_0_7078]) ).
cnf(refute_0_7080,plain,
( composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)) != composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) )],[refute_0_7077,refute_0_7079]) ).
cnf(refute_0_7081,plain,
composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),one),composition(skolemFOFtoCNF_X0,top)),composition(join(skolemFOFtoCNF_X0,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),top)) )],[refute_0_7066,refute_0_7080]) ).
cnf(refute_0_7082,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) = composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),
introduced(tautology,[refl,[$fot(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))]]) ).
cnf(refute_0_7083,plain,
( composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) != composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7084,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) )],[refute_0_7082,refute_0_7083]) ).
cnf(refute_0_7085,plain,
composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5460,refute_0_7084]) ).
cnf(refute_0_7086,plain,
complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),
introduced(tautology,[refl,[$fot(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_7087,plain,
( complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) != complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))
| composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) ),[1,0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_7088,plain,
( composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7086,refute_0_7087]) ).
cnf(refute_0_7089,plain,
complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) = complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_7085,refute_0_7088]) ).
cnf(refute_0_7090,plain,
join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),
introduced(tautology,[refl,[$fot(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))))]]) ).
cnf(refute_0_7091,plain,
( complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) != complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))
| join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) ),[1,1],$fot(complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_7092,plain,
( complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)) != complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)))) )],[refute_0_7090,refute_0_7091]) ).
cnf(refute_0_7093,plain,
join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) = join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top)),complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_7089,refute_0_7092]) ).
cnf(refute_0_7094,plain,
composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7095,plain,
( composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))
| join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))) ),[1,0],$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_7096,plain,
( join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))) != join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7094,refute_0_7095]) ).
cnf(refute_0_7097,plain,
composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_7093,refute_0_7096]) ).
cnf(refute_0_7098,plain,
( composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top))
| composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) ),[0],$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7099,plain,
( composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7097,refute_0_7098]) ).
cnf(refute_0_7100,plain,
composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(converse(skolemFOFtoCNF_X0))),top))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7081,refute_0_7099]) ).
cnf(refute_0_7101,plain,
composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) = composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(top))]]) ).
cnf(refute_0_7102,plain,
( composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) != composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top))
| composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top))),bind(Y,$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7103,plain,
( composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top),composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7101,refute_0_7102]) ).
cnf(refute_0_7104,plain,
composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7100,refute_0_7103]) ).
cnf(refute_0_7105,plain,
converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) = converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7106,plain,
( composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) != converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top))
| converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)),converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_7107,plain,
( composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)),converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top))) )],[refute_0_7105,refute_0_7106]) ).
cnf(refute_0_7108,plain,
converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7104,refute_0_7107]) ).
cnf(refute_0_7109,plain,
composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) = converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7110,plain,
( composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) != converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top))
| converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7111,plain,
( converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))),converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top))) )],[refute_0_7109,refute_0_7110]) ).
cnf(refute_0_7112,plain,
composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0),top)),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7108,refute_0_7111]) ).
cnf(refute_0_7113,plain,
converse(composition(X_11,converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(X_11)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7114,plain,
( converse(composition(X_11,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(X_11))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| converse(composition(X_11,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(X_11))) ),[0,0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_7115,plain,
( converse(composition(X_11,converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(X_11))
| converse(composition(X_11,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_7114]) ).
cnf(refute_0_7116,plain,
converse(composition(X_11,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(X_11))) )],[refute_0_7113,refute_0_7115]) ).
cnf(refute_0_7117,plain,
( converse(composition(X_11,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,converse(X_11))
| composition(skolemFOFtoCNF_X0,converse(X_11)) = converse(composition(X_11,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_11,skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(X_11))))]]) ).
cnf(refute_0_7118,plain,
composition(skolemFOFtoCNF_X0,converse(X_11)) = converse(composition(X_11,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(X_11))) )],[refute_0_7116,refute_0_7117]) ).
cnf(refute_0_7119,plain,
composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) = converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_7118:[bind(X_11,$fot(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_7120,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),
introduced(tautology,[refl,[$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))]]) ).
cnf(refute_0_7121,plain,
( composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))
| composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) ),[1,1],$fot(converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7122,plain,
( composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))) != converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))
| composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_7120,refute_0_7121]) ).
cnf(refute_0_7123,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))),converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) )],[refute_0_7119,refute_0_7122]) ).
cnf(refute_0_7124,plain,
( composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0)))
| composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))))),bind(Y,$fot(composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7125,plain,
( composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0)))) )],[refute_0_7123,refute_0_7124]) ).
cnf(refute_0_7126,plain,
composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7112,refute_0_7125]) ).
cnf(refute_0_7127,plain,
( composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(top,skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| composition(top,skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) ),[1],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7128,plain,
( composition(top,skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))
| composition(top,skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7126,refute_0_7127]) ).
cnf(refute_0_7129,plain,
composition(top,skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,converse(join(one,complement(composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))))) )],[refute_0_7015,refute_0_7128]) ).
cnf(refute_0_7130,plain,
( composition(top,skolemFOFtoCNF_X0) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,skolemFOFtoCNF_X0))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7131,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7129,refute_0_7130]) ).
cnf(refute_0_7132,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7133,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0)))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7134,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7132,refute_0_7133]) ).
cnf(refute_0_7135,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2037,refute_0_7134]) ).
cnf(refute_0_7136,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(skolemFOFtoCNF_X0)),bind(X_426,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7137,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7138,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7136,refute_0_7137]) ).
cnf(refute_0_7139,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7135,refute_0_7138]) ).
cnf(refute_0_7140,plain,
converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7141,plain,
( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_7142,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7140,refute_0_7141]) ).
cnf(refute_0_7143,plain,
converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7139,refute_0_7142]) ).
cnf(refute_0_7144,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,skolemFOFtoCNF_X0)
| converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7145,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,skolemFOFtoCNF_X0)
| converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_7143,refute_0_7144]) ).
cnf(refute_0_7146,plain,
converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_7131,refute_0_7145]) ).
cnf(refute_0_7147,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(converse(X_6),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(X_7,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7148,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7149,plain,
join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(X1,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7150,plain,
composition(complement(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero,
inference(subst,[],[refute_0_5860:[bind(X_177,$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7151,plain,
composition(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(one)),bind(X_145,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7152,plain,
converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7153,plain,
( converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != top
| converse(top) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_7154,plain,
( converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(top) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_4224,refute_0_7153]) ).
cnf(refute_0_7155,plain,
converse(top) = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7152,refute_0_7154]) ).
cnf(refute_0_7156,plain,
( converse(top) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(top) != top
| top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_7157,plain,
( converse(top) != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_7156]) ).
cnf(refute_0_7158,plain,
top = join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7155,refute_0_7157]) ).
cnf(refute_0_7159,plain,
( top != join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7160,plain,
join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7158,refute_0_7159]) ).
cnf(refute_0_7161,plain,
( composition(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != top
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_7162,plain,
( composition(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_7160,refute_0_7161]) ).
cnf(refute_0_7163,plain,
composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7151,refute_0_7162]) ).
cnf(refute_0_7164,plain,
composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7165,plain,
( composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7166,plain,
( composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7164,refute_0_7165]) ).
cnf(refute_0_7167,plain,
composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7163,refute_0_7166]) ).
cnf(refute_0_7168,plain,
( composition(complement(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),zero) ),[0,0,0],$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7169,plain,
( composition(complement(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7167,refute_0_7168]) ).
cnf(refute_0_7170,plain,
composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),zero) )],[refute_0_7150,refute_0_7169]) ).
cnf(refute_0_7171,plain,
converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7172,plain,
complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7173,plain,
( complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7174,plain,
( converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7172,refute_0_7173]) ).
cnf(refute_0_7175,plain,
complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7171,refute_0_7174]) ).
cnf(refute_0_7176,plain,
converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7177,plain,
( complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7178,plain,
( complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7176,refute_0_7177]) ).
cnf(refute_0_7179,plain,
converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7175,refute_0_7178]) ).
cnf(refute_0_7180,plain,
converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7181,plain,
( composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7182,plain,
( composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7180,refute_0_7181]) ).
cnf(refute_0_7183,plain,
converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7167,refute_0_7182]) ).
cnf(refute_0_7184,plain,
( converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7185,plain,
( converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7183,refute_0_7184]) ).
cnf(refute_0_7186,plain,
converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7179,refute_0_7185]) ).
cnf(refute_0_7187,plain,
composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_7188,plain,
( composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7189,plain,
( converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7187,refute_0_7188]) ).
cnf(refute_0_7190,plain,
composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7186,refute_0_7189]) ).
cnf(refute_0_7191,plain,
complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7192,plain,
composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_7193,plain,
( complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7194,plain,
( complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7192,refute_0_7193]) ).
cnf(refute_0_7195,plain,
composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7191,refute_0_7194]) ).
cnf(refute_0_7196,plain,
( composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7197,plain,
( composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7195,refute_0_7196]) ).
cnf(refute_0_7198,plain,
composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7190,refute_0_7197]) ).
cnf(refute_0_7199,plain,
( composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),zero) ),[0],$fot(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7200,plain,
( composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7198,refute_0_7199]) ).
cnf(refute_0_7201,plain,
composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),zero) )],[refute_0_7170,refute_0_7200]) ).
cnf(refute_0_7202,plain,
composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7203,plain,
composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7204,plain,
( composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7205,plain,
( composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7203,refute_0_7204]) ).
cnf(refute_0_7206,plain,
composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7202,refute_0_7205]) ).
cnf(refute_0_7207,plain,
converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_400:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7208,plain,
( converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7209,plain,
( join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_7207,refute_0_7208]) ).
cnf(refute_0_7210,plain,
converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_4207,refute_0_7209]) ).
cnf(refute_0_7211,plain,
complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7212,plain,
( complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7213,plain,
( converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7211,refute_0_7212]) ).
cnf(refute_0_7214,plain,
complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7210,refute_0_7213]) ).
cnf(refute_0_7215,plain,
converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7216,plain,
( complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7217,plain,
( complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7215,refute_0_7216]) ).
cnf(refute_0_7218,plain,
converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_7214,refute_0_7217]) ).
cnf(refute_0_7219,plain,
composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7220,plain,
( composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7221,plain,
( converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7219,refute_0_7220]) ).
cnf(refute_0_7222,plain,
composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_7218,refute_0_7221]) ).
cnf(refute_0_7223,plain,
( composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7224,plain,
( composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7222,refute_0_7223]) ).
cnf(refute_0_7225,plain,
composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7206,refute_0_7224]) ).
cnf(refute_0_7226,plain,
composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X_414,$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7227,plain,
( composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7228,plain,
( composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7226,refute_0_7227]) ).
cnf(refute_0_7229,plain,
composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7225,refute_0_7228]) ).
cnf(refute_0_7230,plain,
( composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != zero
| composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),zero) ),[0],$fot(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7231,plain,
( composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != zero
| composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7229,refute_0_7230]) ).
cnf(refute_0_7232,plain,
composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_7201,refute_0_7231]) ).
cnf(refute_0_7233,plain,
( composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != zero
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_7234,plain,
( join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_7232,refute_0_7233]) ).
cnf(refute_0_7235,plain,
join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(composition(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7149,refute_0_7234]) ).
cnf(refute_0_7236,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7237,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(X1,$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7238,plain,
composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7239,plain,
( composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) != zero
| composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),zero) ),[0,1,0,0],$fot(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7240,plain,
( composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) != zero
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7167,refute_0_7239]) ).
cnf(refute_0_7241,plain,
composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),zero) )],[refute_0_7238,refute_0_7240]) ).
cnf(refute_0_7242,plain,
complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7243,plain,
complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7244,plain,
( complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7245,plain,
( converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7243,refute_0_7244]) ).
cnf(refute_0_7246,plain,
complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7179,refute_0_7245]) ).
cnf(refute_0_7247,plain,
( complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7248,plain,
( complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7246,refute_0_7247]) ).
cnf(refute_0_7249,plain,
complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7242,refute_0_7248]) ).
cnf(refute_0_7250,plain,
composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_7251,plain,
( complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7252,plain,
( complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7250,refute_0_7251]) ).
cnf(refute_0_7253,plain,
composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7249,refute_0_7252]) ).
cnf(refute_0_7254,plain,
( composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),zero) ),[0],$fot(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7255,plain,
( composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != zero
| composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7253,refute_0_7254]) ).
cnf(refute_0_7256,plain,
composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),complement(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),zero) )],[refute_0_7241,refute_0_7255]) ).
cnf(refute_0_7257,plain,
( composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != zero
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_7258,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_7256,refute_0_7257]) ).
cnf(refute_0_7259,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7237,refute_0_7258]) ).
cnf(refute_0_7260,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)))]]) ).
cnf(refute_0_7261,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero))
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7262,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero))) )],[refute_0_7260,refute_0_7261]) ).
cnf(refute_0_7263,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_7262]) ).
cnf(refute_0_7264,plain,
composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)))]]) ).
cnf(refute_0_7265,plain,
( composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) != composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))
| converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7266,plain,
( converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) )],[refute_0_7264,refute_0_7265]) ).
cnf(refute_0_7267,plain,
composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7179,refute_0_7266]) ).
cnf(refute_0_7268,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero))
| composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_7269,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero))) )],[refute_0_7267,refute_0_7268]) ).
cnf(refute_0_7270,plain,
composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(zero)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_7263,refute_0_7269]) ).
cnf(refute_0_7271,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))))]]) ).
cnf(refute_0_7272,plain,
( composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) != join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top))]]) ).
cnf(refute_0_7273,plain,
( composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)))) )],[refute_0_7271,refute_0_7272]) ).
cnf(refute_0_7274,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) = join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_7270,refute_0_7273]) ).
cnf(refute_0_7275,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) != join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_7276,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top))) )],[refute_0_7274,refute_0_7275]) ).
cnf(refute_0_7277,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(zero))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7259,refute_0_7276]) ).
cnf(refute_0_7278,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)))]]) ).
cnf(refute_0_7279,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top))
| join(one,top) != top
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7280,plain,
( join(one,top) != top
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top))) )],[refute_0_7278,refute_0_7279]) ).
cnf(refute_0_7281,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_7280]) ).
cnf(refute_0_7282,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X_426,$fot(top))]]) ).
cnf(refute_0_7283,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)))),bind(Y,$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)))),bind(Z,$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_7284,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top))) )],[refute_0_7282,refute_0_7283]) ).
cnf(refute_0_7285,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(one,top)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_7281,refute_0_7284]) ).
cnf(refute_0_7286,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top))]]) ).
cnf(refute_0_7287,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_7285,refute_0_7286]) ).
cnf(refute_0_7288,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7277,refute_0_7287]) ).
cnf(refute_0_7289,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))]]) ).
cnf(refute_0_7290,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7291,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) )],[refute_0_7289,refute_0_7290]) ).
cnf(refute_0_7292,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_7291]) ).
cnf(refute_0_7293,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) != composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))),bind(Y,$fot(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top))),bind(Z,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7294,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_7292,refute_0_7293]) ).
cnf(refute_0_7295,plain,
composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),top),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7288,refute_0_7294]) ).
cnf(refute_0_7296,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))))]]) ).
cnf(refute_0_7297,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))) ),[1,1],$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7298,plain,
( composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))) )],[refute_0_7296,refute_0_7297]) ).
cnf(refute_0_7299,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7295,refute_0_7298]) ).
cnf(refute_0_7300,plain,
complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7301,plain,
complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7302,plain,
( complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7303,plain,
( converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7301,refute_0_7302]) ).
cnf(refute_0_7304,plain,
complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_7218,refute_0_7303]) ).
cnf(refute_0_7305,plain,
( complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7306,plain,
( complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_7304,refute_0_7305]) ).
cnf(refute_0_7307,plain,
complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7300,refute_0_7306]) ).
cnf(refute_0_7308,plain,
join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))))]]) ).
cnf(refute_0_7309,plain,
( complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7310,plain,
( complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))) )],[refute_0_7308,refute_0_7309]) ).
cnf(refute_0_7311,plain,
join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7307,refute_0_7310]) ).
cnf(refute_0_7312,plain,
( join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))))),bind(Y,$fot(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))))),bind(Z,$fot(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7313,plain,
( join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero))))) )],[refute_0_7311,refute_0_7312]) ).
cnf(refute_0_7314,plain,
join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7299,refute_0_7313]) ).
cnf(refute_0_7315,plain,
( join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))))),bind(Y,$fot(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7316,plain,
( join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7314,refute_0_7315]) ).
cnf(refute_0_7317,plain,
join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7236,refute_0_7316]) ).
cnf(refute_0_7318,plain,
( join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7319,plain,
( join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7317,refute_0_7318]) ).
cnf(refute_0_7320,plain,
( complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7321,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7307,refute_0_7320]) ).
cnf(refute_0_7322,plain,
( join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))) != complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7319,refute_0_7321]) ).
cnf(refute_0_7323,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),composition(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(converse(zero)))),complement(converse(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7235,refute_0_7322]) ).
cnf(refute_0_7324,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7325,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7323,refute_0_7324]) ).
cnf(refute_0_7326,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7148,refute_0_7325]) ).
cnf(refute_0_7327,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7328,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_7329,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7148,refute_0_7328]) ).
cnf(refute_0_7330,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7327,refute_0_7329]) ).
cnf(refute_0_7331,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7332,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7330,refute_0_7331]) ).
cnf(refute_0_7333,plain,
( converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[1],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7334,plain,
( join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7210,refute_0_7333]) ).
cnf(refute_0_7335,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_7332,refute_0_7334]) ).
cnf(refute_0_7336,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_7326,refute_0_7335]) ).
cnf(refute_0_7337,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(converse(X_6),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(converse(X_6),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7338,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(converse(X_6),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7336,refute_0_7337]) ).
cnf(refute_0_7339,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(converse(X_6),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7147,refute_0_7338]) ).
cnf(refute_0_7340,plain,
join(converse(skolemFOFtoCNF_X0),converse(X_6)) = converse(join(skolemFOFtoCNF_X0,X_6)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_6))]]) ).
cnf(refute_0_7341,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))))]]) ).
cnf(refute_0_7342,plain,
( join(converse(skolemFOFtoCNF_X0),converse(X_6)) != converse(join(skolemFOFtoCNF_X0,X_6))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6)))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6)))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,X_6)))]]) ).
cnf(refute_0_7343,plain,
( join(converse(skolemFOFtoCNF_X0),converse(X_6)) != converse(join(skolemFOFtoCNF_X0,X_6))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6)))) )],[refute_0_7341,refute_0_7342]) ).
cnf(refute_0_7344,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(X_6)),converse(join(skolemFOFtoCNF_X0,X_6))) )],[refute_0_7340,refute_0_7343]) ).
cnf(refute_0_7345,plain,
join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7346,plain,
( join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[0,1],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7347,plain,
( join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7323,refute_0_7346]) ).
cnf(refute_0_7348,plain,
join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7345,refute_0_7347]) ).
cnf(refute_0_7349,plain,
join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7350,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X2)
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X2)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7351,plain,
( join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X2)
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_7323,refute_0_7350]) ).
cnf(refute_0_7352,plain,
join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),X2)) )],[refute_0_7349,refute_0_7351]) ).
cnf(refute_0_7353,plain,
join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2) = join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7354,plain,
join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)))]]) ).
cnf(refute_0_7355,plain,
( join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2) != join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2))
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2))) ),[1,1],$fot(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2)))]]) ).
cnf(refute_0_7356,plain,
( join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2) != join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2))) )],[refute_0_7354,refute_0_7355]) ).
cnf(refute_0_7357,plain,
join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2),join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) )],[refute_0_7353,refute_0_7356]) ).
cnf(refute_0_7358,plain,
( join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)
| join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2)))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) ),[0],$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))))]]) ).
cnf(refute_0_7359,plain,
( join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) = join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2)))) )],[refute_0_7357,refute_0_7358]) ).
cnf(refute_0_7360,plain,
join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7361,plain,
( join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) ),[1],$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_7362,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2))) )],[refute_0_7360,refute_0_7361]) ).
cnf(refute_0_7363,plain,
( join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)) != join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) )],[refute_0_7359,refute_0_7362]) ).
cnf(refute_0_7364,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X2))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),X2)),join(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),X2)) )],[refute_0_7352,refute_0_7363]) ).
cnf(refute_0_7365,plain,
join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)),
inference(subst,[],[refute_0_7364:[bind(X2,$fot(X0))]]) ).
cnf(refute_0_7366,plain,
join(X0,join(X1,join(X_261,X1))) = join(join(X0,X1),join(X_261,X1)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(join(X_261,X1)))]]) ).
cnf(refute_0_7367,plain,
join(X_261,X1) = join(X1,join(X_261,X1)),
inference(subst,[],[refute_0_1781:[bind(X_256,$fot(X_261)),bind(X_258,$fot(X1))]]) ).
cnf(refute_0_7368,plain,
( join(X_261,X1) != join(X1,join(X_261,X1))
| join(X1,join(X_261,X1)) = join(X_261,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_261,X1))),bind(Y,$fot(join(X1,join(X_261,X1))))]]) ).
cnf(refute_0_7369,plain,
join(X1,join(X_261,X1)) = join(X_261,X1),
inference(resolve,[$cnf( $equal(join(X_261,X1),join(X1,join(X_261,X1))) )],[refute_0_7367,refute_0_7368]) ).
cnf(refute_0_7370,plain,
( join(X0,join(X1,join(X_261,X1))) != join(join(X0,X1),join(X_261,X1))
| join(X1,join(X_261,X1)) != join(X_261,X1)
| join(X0,join(X_261,X1)) = join(join(X0,X1),join(X_261,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_261,X1))),join(join(X0,X1),join(X_261,X1))) ),[0,1],$fot(join(X_261,X1))]]) ).
cnf(refute_0_7371,plain,
( join(X0,join(X1,join(X_261,X1))) != join(join(X0,X1),join(X_261,X1))
| join(X0,join(X_261,X1)) = join(join(X0,X1),join(X_261,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_261,X1)),join(X_261,X1)) )],[refute_0_7369,refute_0_7370]) ).
cnf(refute_0_7372,plain,
join(X0,join(X_261,X1)) = join(join(X0,X1),join(X_261,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_261,X1))),join(join(X0,X1),join(X_261,X1))) )],[refute_0_7366,refute_0_7371]) ).
cnf(refute_0_7373,plain,
join(X0,join(join(X_261,X0),X2)) = join(join(X0,join(X_261,X0)),X2),
inference(subst,[],[refute_0_46:[bind(X1,$fot(join(X_261,X0)))]]) ).
cnf(refute_0_7374,plain,
join(X_261,X0) = join(X0,join(X_261,X0)),
inference(subst,[],[refute_0_1781:[bind(X_256,$fot(X_261)),bind(X_258,$fot(X0))]]) ).
cnf(refute_0_7375,plain,
( join(X_261,X0) != join(X0,join(X_261,X0))
| join(X0,join(X_261,X0)) = join(X_261,X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_261,X0))),bind(Y,$fot(join(X0,join(X_261,X0))))]]) ).
cnf(refute_0_7376,plain,
join(X0,join(X_261,X0)) = join(X_261,X0),
inference(resolve,[$cnf( $equal(join(X_261,X0),join(X0,join(X_261,X0))) )],[refute_0_7374,refute_0_7375]) ).
cnf(refute_0_7377,plain,
( join(X0,join(X_261,X0)) != join(X_261,X0)
| join(X0,join(join(X_261,X0),X2)) != join(join(X0,join(X_261,X0)),X2)
| join(X0,join(join(X_261,X0),X2)) = join(join(X_261,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(join(X0,join(X_261,X0)),X2)) ),[1,0],$fot(join(X_261,X0))]]) ).
cnf(refute_0_7378,plain,
( join(X0,join(join(X_261,X0),X2)) != join(join(X0,join(X_261,X0)),X2)
| join(X0,join(join(X_261,X0),X2)) = join(join(X_261,X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_261,X0)),join(X_261,X0)) )],[refute_0_7376,refute_0_7377]) ).
cnf(refute_0_7379,plain,
join(X0,join(join(X_261,X0),X2)) = join(join(X_261,X0),X2),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(join(X0,join(X_261,X0)),X2)) )],[refute_0_7373,refute_0_7378]) ).
cnf(refute_0_7380,plain,
join(join(X_261,X0),X2) = join(X_261,join(X0,X2)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_261)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_7381,plain,
join(X0,join(join(X_261,X0),X2)) = join(X0,join(join(X_261,X0),X2)),
introduced(tautology,[refl,[$fot(join(X0,join(join(X_261,X0),X2)))]]) ).
cnf(refute_0_7382,plain,
( join(X0,join(join(X_261,X0),X2)) != join(X0,join(join(X_261,X0),X2))
| join(join(X_261,X0),X2) != join(X_261,join(X0,X2))
| join(X0,join(join(X_261,X0),X2)) = join(X0,join(X_261,join(X0,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(X0,join(join(X_261,X0),X2))) ),[1,1],$fot(join(X_261,join(X0,X2)))]]) ).
cnf(refute_0_7383,plain,
( join(join(X_261,X0),X2) != join(X_261,join(X0,X2))
| join(X0,join(join(X_261,X0),X2)) = join(X0,join(X_261,join(X0,X2))) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(X0,join(join(X_261,X0),X2))) )],[refute_0_7381,refute_0_7382]) ).
cnf(refute_0_7384,plain,
join(X0,join(join(X_261,X0),X2)) = join(X0,join(X_261,join(X0,X2))),
inference(resolve,[$cnf( $equal(join(join(X_261,X0),X2),join(X_261,join(X0,X2))) )],[refute_0_7380,refute_0_7383]) ).
cnf(refute_0_7385,plain,
( join(X0,join(join(X_261,X0),X2)) != join(X0,join(X_261,join(X0,X2)))
| join(X0,join(join(X_261,X0),X2)) != join(join(X_261,X0),X2)
| join(X0,join(X_261,join(X0,X2))) = join(join(X_261,X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(join(X_261,X0),X2)) ),[0],$fot(join(X0,join(X_261,join(X0,X2))))]]) ).
cnf(refute_0_7386,plain,
( join(X0,join(join(X_261,X0),X2)) != join(join(X_261,X0),X2)
| join(X0,join(X_261,join(X0,X2))) = join(join(X_261,X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(X0,join(X_261,join(X0,X2)))) )],[refute_0_7384,refute_0_7385]) ).
cnf(refute_0_7387,plain,
( join(X0,join(X_261,join(X0,X2))) != join(join(X_261,X0),X2)
| join(join(X_261,X0),X2) != join(X_261,join(X0,X2))
| join(X0,join(X_261,join(X0,X2))) = join(X_261,join(X0,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_261,join(X0,X2))),join(X_261,join(X0,X2))) ),[0],$fot(join(join(X_261,X0),X2))]]) ).
cnf(refute_0_7388,plain,
( join(X0,join(X_261,join(X0,X2))) != join(join(X_261,X0),X2)
| join(X0,join(X_261,join(X0,X2))) = join(X_261,join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_261,X0),X2),join(X_261,join(X0,X2))) )],[refute_0_7380,refute_0_7387]) ).
cnf(refute_0_7389,plain,
( join(X0,join(join(X_261,X0),X2)) != join(join(X_261,X0),X2)
| join(X0,join(X_261,join(X0,X2))) = join(X_261,join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_261,join(X0,X2))),join(join(X_261,X0),X2)) )],[refute_0_7386,refute_0_7388]) ).
cnf(refute_0_7390,plain,
join(X0,join(X_261,join(X0,X2))) = join(X_261,join(X0,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(join(X_261,X0),X2)),join(join(X_261,X0),X2)) )],[refute_0_7379,refute_0_7389]) ).
cnf(refute_0_7391,plain,
join(X1,join(X0,join(X1,X_261))) = join(X0,join(X1,X_261)),
inference(subst,[],[refute_0_7390:[bind(X0,$fot(X1)),bind(X2,$fot(X_261)),bind(X_261,$fot(X0))]]) ).
cnf(refute_0_7392,plain,
join(join(X0,X1),X_261) = join(X0,join(X1,X_261)),
inference(subst,[],[refute_0_168:[bind(X2,$fot(X_261))]]) ).
cnf(refute_0_7393,plain,
join(X1,join(join(X0,X1),X_261)) = join(X1,join(join(X0,X1),X_261)),
introduced(tautology,[refl,[$fot(join(X1,join(join(X0,X1),X_261)))]]) ).
cnf(refute_0_7394,plain,
( join(X1,join(join(X0,X1),X_261)) != join(X1,join(join(X0,X1),X_261))
| join(join(X0,X1),X_261) != join(X0,join(X1,X_261))
| join(X1,join(join(X0,X1),X_261)) = join(X1,join(X0,join(X1,X_261))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(join(X0,X1),X_261)),join(X1,join(join(X0,X1),X_261))) ),[1,1],$fot(join(X0,join(X1,X_261)))]]) ).
cnf(refute_0_7395,plain,
( join(join(X0,X1),X_261) != join(X0,join(X1,X_261))
| join(X1,join(join(X0,X1),X_261)) = join(X1,join(X0,join(X1,X_261))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_261)),join(X1,join(join(X0,X1),X_261))) )],[refute_0_7393,refute_0_7394]) ).
cnf(refute_0_7396,plain,
join(X1,join(join(X0,X1),X_261)) = join(X1,join(X0,join(X1,X_261))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_261),join(X0,join(X1,X_261))) )],[refute_0_7392,refute_0_7395]) ).
cnf(refute_0_7397,plain,
( join(X1,join(X0,join(X1,X_261))) != join(X0,join(X1,X_261))
| join(X1,join(join(X0,X1),X_261)) != join(X1,join(X0,join(X1,X_261)))
| join(X1,join(join(X0,X1),X_261)) = join(X0,join(X1,X_261)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(join(X0,X1),X_261)))),bind(Y,$fot(join(X1,join(X0,join(X1,X_261))))),bind(Z,$fot(join(X0,join(X1,X_261))))]]) ).
cnf(refute_0_7398,plain,
( join(X1,join(X0,join(X1,X_261))) != join(X0,join(X1,X_261))
| join(X1,join(join(X0,X1),X_261)) = join(X0,join(X1,X_261)) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_261)),join(X1,join(X0,join(X1,X_261)))) )],[refute_0_7396,refute_0_7397]) ).
cnf(refute_0_7399,plain,
join(X1,join(join(X0,X1),X_261)) = join(X0,join(X1,X_261)),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,X_261))),join(X0,join(X1,X_261))) )],[refute_0_7391,refute_0_7398]) ).
cnf(refute_0_7400,plain,
join(join(X0,X1),join(X_261,X1)) = join(X1,join(join(X0,X1),X_261)),
inference(subst,[],[refute_0_2010:[bind(X_256,$fot(join(X0,X1))),bind(X_257,$fot(X1)),bind(X_258,$fot(X_261))]]) ).
cnf(refute_0_7401,plain,
( join(X1,join(join(X0,X1),X_261)) != join(X0,join(X1,X_261))
| join(join(X0,X1),join(X_261,X1)) != join(X1,join(join(X0,X1),X_261))
| join(join(X0,X1),join(X_261,X1)) = join(X0,join(X1,X_261)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X_261,X1)))),bind(Y,$fot(join(X1,join(join(X0,X1),X_261)))),bind(Z,$fot(join(X0,join(X1,X_261))))]]) ).
cnf(refute_0_7402,plain,
( join(X1,join(join(X0,X1),X_261)) != join(X0,join(X1,X_261))
| join(join(X0,X1),join(X_261,X1)) = join(X0,join(X1,X_261)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_261,X1)),join(X1,join(join(X0,X1),X_261))) )],[refute_0_7400,refute_0_7401]) ).
cnf(refute_0_7403,plain,
join(join(X0,X1),join(X_261,X1)) = join(X0,join(X1,X_261)),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),X_261)),join(X0,join(X1,X_261))) )],[refute_0_7399,refute_0_7402]) ).
cnf(refute_0_7404,plain,
( join(X0,join(X_261,X1)) != join(join(X0,X1),join(X_261,X1))
| join(join(X0,X1),join(X_261,X1)) != join(X0,join(X1,X_261))
| join(X0,join(X_261,X1)) = join(X0,join(X1,X_261)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_261,X1)),join(X0,join(X1,X_261))) ),[0],$fot(join(join(X0,X1),join(X_261,X1)))]]) ).
cnf(refute_0_7405,plain,
( join(X0,join(X_261,X1)) != join(join(X0,X1),join(X_261,X1))
| join(X0,join(X_261,X1)) = join(X0,join(X1,X_261)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_261,X1)),join(X0,join(X1,X_261))) )],[refute_0_7403,refute_0_7404]) ).
cnf(refute_0_7406,plain,
join(X0,join(X_261,X1)) = join(X0,join(X1,X_261)),
inference(resolve,[$cnf( $equal(join(X0,join(X_261,X1)),join(join(X0,X1),join(X_261,X1))) )],[refute_0_7372,refute_0_7405]) ).
cnf(refute_0_7407,plain,
( join(X0,join(X_261,X1)) != join(X0,join(X1,X_261))
| join(X0,join(X1,X_261)) = join(X0,join(X_261,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X_261,X1)))),bind(Y,$fot(join(X0,join(X1,X_261))))]]) ).
cnf(refute_0_7408,plain,
join(X0,join(X1,X_261)) = join(X0,join(X_261,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_261,X1)),join(X0,join(X1,X_261))) )],[refute_0_7406,refute_0_7407]) ).
cnf(refute_0_7409,plain,
join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))),
inference(subst,[],[refute_0_7408:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))),bind(X_261,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7410,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)))
| join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))))]]) ).
cnf(refute_0_7411,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)))) )],[refute_0_7409,refute_0_7410]) ).
cnf(refute_0_7412,plain,
join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_7365,refute_0_7411]) ).
cnf(refute_0_7413,plain,
join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) = join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(skolemFOFtoCNF_X0)),bind(X_257,$fot(converse(skolemFOFtoCNF_X0))),bind(X_258,$fot(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)))]]) ).
cnf(refute_0_7414,plain,
( join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) != join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))))]]) ).
cnf(refute_0_7415,plain,
( join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))),join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7413,refute_0_7414]) ).
cnf(refute_0_7416,plain,
join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_7412,refute_0_7415]) ).
cnf(refute_0_7417,plain,
join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)),
inference(subst,[],[refute_0_2010:[bind(X_256,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),bind(X_257,$fot(skolemFOFtoCNF_X0)),bind(X_258,$fot(X0))]]) ).
cnf(refute_0_7418,plain,
join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7419,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))
| join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) != join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))),join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)))]]) ).
cnf(refute_0_7420,plain,
( join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))
| join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))),join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)))) )],[refute_0_7418,refute_0_7419]) ).
cnf(refute_0_7421,plain,
join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) )],[refute_0_7417,refute_0_7420]) ).
cnf(refute_0_7422,plain,
( join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) != join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)))
| join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))))]]) ).
cnf(refute_0_7423,plain,
( join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))),join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0)))) )],[refute_0_7421,refute_0_7422]) ).
cnf(refute_0_7424,plain,
join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_7416,refute_0_7423]) ).
cnf(refute_0_7425,plain,
join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2012:[bind(X_256,$fot(converse(skolemFOFtoCNF_X0))),bind(X_257,$fot(join(X0,skolemFOFtoCNF_X0))),bind(X_258,$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7426,plain,
( join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))))]]) ).
cnf(refute_0_7427,plain,
( join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0)))) )],[refute_0_7425,refute_0_7426]) ).
cnf(refute_0_7428,plain,
join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),join(X0,skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_7424,refute_0_7427]) ).
cnf(refute_0_7429,plain,
( join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))
| join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))) ),[0],$fot(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7430,plain,
( join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_7428,refute_0_7429]) ).
cnf(refute_0_7431,plain,
join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(join(X0,skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7348,refute_0_7430]) ).
cnf(refute_0_7432,plain,
join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))),
inference(subst,[],[refute_0_7431:[bind(X0,$fot(converse(X_6)))]]) ).
cnf(refute_0_7433,plain,
( join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6)))
| join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))))]]) ).
cnf(refute_0_7434,plain,
( join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6)))) )],[refute_0_7432,refute_0_7433]) ).
cnf(refute_0_7435,plain,
join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(skolemFOFtoCNF_X0),converse(X_6))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_7344,refute_0_7434]) ).
cnf(refute_0_7436,plain,
( join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[1],$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))))]]) ).
cnf(refute_0_7437,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_7435,refute_0_7436]) ).
cnf(refute_0_7438,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(converse(X_6),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_7339,refute_0_7437]) ).
cnf(refute_0_7439,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7440,plain,
join(complement(X_24),composition(converse(composition(converse(X0),X_12)),complement(composition(composition(converse(X0),X_12),X_24)))) = complement(X_24),
inference(subst,[],[refute_0_55:[bind(X0,$fot(composition(converse(X0),X_12))),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_7441,plain,
( converse(composition(converse(X0),X_12)) != composition(converse(X_12),X0)
| join(complement(X_24),composition(converse(composition(converse(X0),X_12)),complement(composition(composition(converse(X0),X_12),X_24)))) != complement(X_24)
| join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = complement(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(converse(composition(converse(X0),X_12)),complement(composition(composition(converse(X0),X_12),X_24)))),complement(X_24)) ),[0,1,0],$fot(composition(converse(X_12),X0))]]) ).
cnf(refute_0_7442,plain,
( join(complement(X_24),composition(converse(composition(converse(X0),X_12)),complement(composition(composition(converse(X0),X_12),X_24)))) != complement(X_24)
| join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = complement(X_24) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_12)),composition(converse(X_12),X0)) )],[refute_0_62,refute_0_7441]) ).
cnf(refute_0_7443,plain,
join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = complement(X_24),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(converse(composition(converse(X0),X_12)),complement(composition(composition(converse(X0),X_12),X_24)))),complement(X_24)) )],[refute_0_7440,refute_0_7442]) ).
cnf(refute_0_7444,plain,
composition(composition(converse(X0),X_12),X_24) = composition(converse(X0),composition(X_12,X_24)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_12)),bind(X2,$fot(X_24))]]) ).
cnf(refute_0_7445,plain,
complement(composition(composition(converse(X0),X_12),X_24)) = complement(composition(composition(converse(X0),X_12),X_24)),
introduced(tautology,[refl,[$fot(complement(composition(composition(converse(X0),X_12),X_24)))]]) ).
cnf(refute_0_7446,plain,
( complement(composition(composition(converse(X0),X_12),X_24)) != complement(composition(composition(converse(X0),X_12),X_24))
| composition(composition(converse(X0),X_12),X_24) != composition(converse(X0),composition(X_12,X_24))
| complement(composition(composition(converse(X0),X_12),X_24)) = complement(composition(converse(X0),composition(X_12,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(converse(X0),X_12),X_24)),complement(composition(composition(converse(X0),X_12),X_24))) ),[1,0],$fot(composition(converse(X0),composition(X_12,X_24)))]]) ).
cnf(refute_0_7447,plain,
( composition(composition(converse(X0),X_12),X_24) != composition(converse(X0),composition(X_12,X_24))
| complement(composition(composition(converse(X0),X_12),X_24)) = complement(composition(converse(X0),composition(X_12,X_24))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(converse(X0),X_12),X_24)),complement(composition(composition(converse(X0),X_12),X_24))) )],[refute_0_7445,refute_0_7446]) ).
cnf(refute_0_7448,plain,
complement(composition(composition(converse(X0),X_12),X_24)) = complement(composition(converse(X0),composition(X_12,X_24))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X0),X_12),X_24),composition(converse(X0),composition(X_12,X_24))) )],[refute_0_7444,refute_0_7447]) ).
cnf(refute_0_7449,plain,
composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) = composition(X0,complement(composition(composition(converse(X0),X_12),X_24))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(composition(converse(X0),X_12),X_24))))]]) ).
cnf(refute_0_7450,plain,
( complement(composition(composition(converse(X0),X_12),X_24)) != complement(composition(converse(X0),composition(X_12,X_24)))
| composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) != composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))
| composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) = composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(composition(converse(X0),X_12),X_24))),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) ),[1,1],$fot(complement(composition(converse(X0),composition(X_12,X_24))))]]) ).
cnf(refute_0_7451,plain,
( complement(composition(composition(converse(X0),X_12),X_24)) != complement(composition(converse(X0),composition(X_12,X_24)))
| composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) = composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))) ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(composition(converse(X0),X_12),X_24))),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) )],[refute_0_7449,refute_0_7450]) ).
cnf(refute_0_7452,plain,
composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) = composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))),
inference(resolve,[$cnf( $equal(complement(composition(composition(converse(X0),X_12),X_24)),complement(composition(converse(X0),composition(X_12,X_24)))) )],[refute_0_7448,refute_0_7451]) ).
cnf(refute_0_7453,plain,
composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) = composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))),
introduced(tautology,[refl,[$fot(composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))))]]) ).
cnf(refute_0_7454,plain,
( composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) != composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))
| composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) != composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24))))
| composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) = composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))),composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24))))) ),[1,1],$fot(composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))]]) ).
cnf(refute_0_7455,plain,
( composition(X0,complement(composition(composition(converse(X0),X_12),X_24))) != composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))
| composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) = composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))),composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24))))) )],[refute_0_7453,refute_0_7454]) ).
cnf(refute_0_7456,plain,
composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) = composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(composition(converse(X0),X_12),X_24))),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))) )],[refute_0_7452,refute_0_7455]) ).
cnf(refute_0_7457,plain,
composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) = composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(converse(X_12))),bind(X1,$fot(X0)),bind(X2,$fot(complement(composition(composition(converse(X0),X_12),X_24))))]]) ).
cnf(refute_0_7458,plain,
( composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) != composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24))))
| composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) != composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))
| composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) = composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))))),bind(Y,$fot(composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))))),bind(Z,$fot(composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))))]]) ).
cnf(refute_0_7459,plain,
( composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))) != composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))
| composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) = composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))),composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24))))) )],[refute_0_7457,refute_0_7458]) ).
cnf(refute_0_7460,plain,
composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) = composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))),
inference(resolve,[$cnf( $equal(composition(converse(X_12),composition(X0,complement(composition(composition(converse(X0),X_12),X_24)))),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) )],[refute_0_7456,refute_0_7459]) ).
cnf(refute_0_7461,plain,
join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))),
introduced(tautology,[refl,[$fot(join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))))]]) ).
cnf(refute_0_7462,plain,
( composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) != composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))
| join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) != join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))))
| join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))),join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))))) ),[1,1],$fot(composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))))]]) ).
cnf(refute_0_7463,plain,
( composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))) != composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))
| join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))),join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))))) )],[refute_0_7461,refute_0_7462]) ).
cnf(refute_0_7464,plain,
join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) = join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24))),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) )],[refute_0_7460,refute_0_7463]) ).
cnf(refute_0_7465,plain,
( join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) != complement(X_24)
| join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) != join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))))
| join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) = complement(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))),complement(X_24)) ),[0],$fot(join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))))]]) ).
cnf(refute_0_7466,plain,
( join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))) != complement(X_24)
| join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) = complement(X_24) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))),join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24))))))) )],[refute_0_7464,refute_0_7465]) ).
cnf(refute_0_7467,plain,
join(complement(X_24),composition(converse(X_12),composition(X0,complement(composition(converse(X0),composition(X_12,X_24)))))) = complement(X_24),
inference(resolve,[$cnf( $equal(join(complement(X_24),composition(composition(converse(X_12),X0),complement(composition(composition(converse(X0),X_12),X_24)))),complement(X_24)) )],[refute_0_7443,refute_0_7466]) ).
cnf(refute_0_7468,plain,
join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(complement(skolemFOFtoCNF_X0),top)))))) = complement(top),
inference(subst,[],[refute_0_7467:[bind(X0,$fot(X_529)),bind(X_12,$fot(complement(skolemFOFtoCNF_X0))),bind(X_24,$fot(top))]]) ).
cnf(refute_0_7469,plain,
converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7470,plain,
composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),
inference(subst,[],[refute_0_7026:[bind(X_399,$fot(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7471,plain,
join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7472,plain,
join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top)))) = complement(top),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_7473,plain,
composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),top) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_1962:[bind(X0,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(X_397,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7474,plain,
composition(join(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(one)),bind(X_145,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7475,plain,
( composition(join(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_7476,plain,
( composition(join(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2037,refute_0_7475]) ).
cnf(refute_0_7477,plain,
composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7474,refute_0_7476]) ).
cnf(refute_0_7478,plain,
composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7479,plain,
( composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7480,plain,
( composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7478,refute_0_7479]) ).
cnf(refute_0_7481,plain,
composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(one,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7477,refute_0_7480]) ).
cnf(refute_0_7482,plain,
composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3876:[bind(X_292,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7483,plain,
( composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7484,plain,
( composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7482,refute_0_7483]) ).
cnf(refute_0_7485,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7481,refute_0_7484]) ).
cnf(refute_0_7486,plain,
( composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),top),composition(skolemFOFtoCNF_X0,top)) ),[0,0,1],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7487,plain,
( composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),top) != composition(skolemFOFtoCNF_X0,top)
| composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7485,refute_0_7486]) ).
cnf(refute_0_7488,plain,
composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7473,refute_0_7487]) ).
cnf(refute_0_7489,plain,
( composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top) != composition(skolemFOFtoCNF_X0,top)
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top)))) != complement(top)
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top)))),complement(top)) ),[0,1,1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_7490,plain,
( join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top)))) != complement(top)
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7488,refute_0_7489]) ).
cnf(refute_0_7491,plain,
join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),top)))),complement(top)) )],[refute_0_7472,refute_0_7490]) ).
cnf(refute_0_7492,plain,
join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7493,plain,
complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7494,plain,
( complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7495,plain,
( converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7493,refute_0_7494]) ).
cnf(refute_0_7496,plain,
complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_7469,refute_0_7495]) ).
cnf(refute_0_7497,plain,
converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7498,plain,
( complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7499,plain,
( complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7497,refute_0_7498]) ).
cnf(refute_0_7500,plain,
converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7496,refute_0_7499]) ).
cnf(refute_0_7501,plain,
composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7502,plain,
( composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))
| converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7503,plain,
( converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7501,refute_0_7502]) ).
cnf(refute_0_7504,plain,
composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7500,refute_0_7503]) ).
cnf(refute_0_7505,plain,
composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_2122:[bind(X1,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(X_250,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7506,plain,
( composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7507,plain,
( composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7505,refute_0_7506]) ).
cnf(refute_0_7508,plain,
composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7504,refute_0_7507]) ).
cnf(refute_0_7509,plain,
join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7510,plain,
( composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7511,plain,
( composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7509,refute_0_7510]) ).
cnf(refute_0_7512,plain,
join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7508,refute_0_7511]) ).
cnf(refute_0_7513,plain,
join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7514,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7515,plain,
( complement(top) != zero
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7513,refute_0_7514]) ).
cnf(refute_0_7516,plain,
join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_7515]) ).
cnf(refute_0_7517,plain,
( join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_7518,plain,
( join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7516,refute_0_7517]) ).
cnf(refute_0_7519,plain,
join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7512,refute_0_7518]) ).
cnf(refute_0_7520,plain,
( join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7521,plain,
( join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7519,refute_0_7520]) ).
cnf(refute_0_7522,plain,
join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7492,refute_0_7521]) ).
cnf(refute_0_7523,plain,
( join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) ),[0],$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7524,plain,
( join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7522,refute_0_7523]) ).
cnf(refute_0_7525,plain,
( complement(top) != zero
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) != complement(top)
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_7526,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) != complement(top)
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_7525]) ).
cnf(refute_0_7527,plain,
( join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),complement(top)) )],[refute_0_7524,refute_0_7526]) ).
cnf(refute_0_7528,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(join(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) )],[refute_0_7491,refute_0_7527]) ).
cnf(refute_0_7529,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) != zero
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_7530,plain,
( join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))),zero) )],[refute_0_7528,refute_0_7529]) ).
cnf(refute_0_7531,plain,
join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7471,refute_0_7530]) ).
cnf(refute_0_7532,plain,
join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7533,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7534,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_7535,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( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7533,refute_0_7534]) ).
cnf(refute_0_7536,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_7535]) ).
cnf(refute_0_7537,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7538,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( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7536,refute_0_7537]) ).
cnf(refute_0_7539,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7532,refute_0_7538]) ).
cnf(refute_0_7540,plain,
composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top),
introduced(tautology,[refl,[$fot(composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top))]]) ).
cnf(refute_0_7541,plain,
( composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top)) ),[1,0],$fot(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7542,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))
| composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7540,refute_0_7541]) ).
cnf(refute_0_7543,plain,
composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7539,refute_0_7542]) ).
cnf(refute_0_7544,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top),
inference(subst,[],[refute_0_4562:[bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_414,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7545,plain,
( composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top)
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),bind(Y,$fot(composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top))),bind(Z,$fot(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)))]]) ).
cnf(refute_0_7546,plain,
( composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7544,refute_0_7545]) ).
cnf(refute_0_7547,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),top),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7543,refute_0_7546]) ).
cnf(refute_0_7548,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))]]) ).
cnf(refute_0_7549,plain,
( complement(converse(zero)) != top
| composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7550,plain,
( complement(converse(zero)) != top
| composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) )],[refute_0_7548,refute_0_7549]) ).
cnf(refute_0_7551,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_7550]) ).
cnf(refute_0_7552,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_7553,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top))]]) ).
cnf(refute_0_7554,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))) )],[refute_0_7552,refute_0_7553]) ).
cnf(refute_0_7555,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_7551,refute_0_7554]) ).
cnf(refute_0_7556,plain,
complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7557,plain,
converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7558,plain,
complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7559,plain,
( complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7560,plain,
( converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7558,refute_0_7559]) ).
cnf(refute_0_7561,plain,
complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7557,refute_0_7560]) ).
cnf(refute_0_7562,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7563,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7561,refute_0_7562]) ).
cnf(refute_0_7564,plain,
complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7556,refute_0_7563]) ).
cnf(refute_0_7565,plain,
join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_7566,plain,
( complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7567,plain,
( complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))) )],[refute_0_7565,refute_0_7566]) ).
cnf(refute_0_7568,plain,
join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7564,refute_0_7567]) ).
cnf(refute_0_7569,plain,
( join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))))),bind(Y,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))))),bind(Z,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top))))]]) ).
cnf(refute_0_7570,plain,
( join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero))))) )],[refute_0_7568,refute_0_7569]) ).
cnf(refute_0_7571,plain,
join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) )],[refute_0_7555,refute_0_7570]) ).
cnf(refute_0_7572,plain,
( join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))))),bind(Y,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),bind(Z,$fot(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)))]]) ).
cnf(refute_0_7573,plain,
( join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top))) )],[refute_0_7571,refute_0_7572]) ).
cnf(refute_0_7574,plain,
join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7547,refute_0_7573]) ).
cnf(refute_0_7575,plain,
( join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top))]]) ).
cnf(refute_0_7576,plain,
( join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7574,refute_0_7575]) ).
cnf(refute_0_7577,plain,
( complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7578,plain,
( composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7564,refute_0_7577]) ).
cnf(refute_0_7579,plain,
( join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7576,refute_0_7578]) ).
cnf(refute_0_7580,plain,
composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(composition(skolemFOFtoCNF_X0,top)),complement(converse(zero)))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7531,refute_0_7579]) ).
cnf(refute_0_7581,plain,
( composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) ),[0,1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7582,plain,
( composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7580,refute_0_7581]) ).
cnf(refute_0_7583,plain,
composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),
inference(resolve,[$cnf( $equal(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7470,refute_0_7582]) ).
cnf(refute_0_7584,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(complement(skolemFOFtoCNF_X0))),bind(X_146,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7585,plain,
composition(join(converse(X_250),complement(converse(X_250))),complement(composition(X_250,top))) = composition(complement(converse(X_250)),complement(composition(X_250,top))),
inference(subst,[],[refute_0_2115:[bind(X0,$fot(X_250)),bind(X_145,$fot(complement(converse(X_250))))]]) ).
cnf(refute_0_7586,plain,
top = join(converse(X_250),complement(converse(X_250))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(X_250)))]]) ).
cnf(refute_0_7587,plain,
( top != join(converse(X_250),complement(converse(X_250)))
| join(converse(X_250),complement(converse(X_250))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_250),complement(converse(X_250)))))]]) ).
cnf(refute_0_7588,plain,
join(converse(X_250),complement(converse(X_250))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_250),complement(converse(X_250)))) )],[refute_0_7586,refute_0_7587]) ).
cnf(refute_0_7589,plain,
( composition(join(converse(X_250),complement(converse(X_250))),complement(composition(X_250,top))) != composition(complement(converse(X_250)),complement(composition(X_250,top)))
| join(converse(X_250),complement(converse(X_250))) != top
| composition(top,complement(composition(X_250,top))) = composition(complement(converse(X_250)),complement(composition(X_250,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X_250),complement(converse(X_250))),complement(composition(X_250,top))),composition(complement(converse(X_250)),complement(composition(X_250,top)))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_7590,plain,
( composition(join(converse(X_250),complement(converse(X_250))),complement(composition(X_250,top))) != composition(complement(converse(X_250)),complement(composition(X_250,top)))
| composition(top,complement(composition(X_250,top))) = composition(complement(converse(X_250)),complement(composition(X_250,top))) ),
inference(resolve,[$cnf( $equal(join(converse(X_250),complement(converse(X_250))),top) )],[refute_0_7588,refute_0_7589]) ).
cnf(refute_0_7591,plain,
composition(top,complement(composition(X_250,top))) = composition(complement(converse(X_250)),complement(composition(X_250,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X_250),complement(converse(X_250))),complement(composition(X_250,top))),composition(complement(converse(X_250)),complement(composition(X_250,top)))) )],[refute_0_7585,refute_0_7590]) ).
cnf(refute_0_7592,plain,
composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),
inference(subst,[],[refute_0_7591:[bind(X_250,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7593,plain,
converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = composition(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),top),
inference(subst,[],[refute_0_1662:[bind(X_12,$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_7594,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1847:[bind(X0,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))),bind(X1,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7595,plain,
converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),
inference(subst,[],[refute_0_1662:[bind(X_12,$fot(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7596,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(one))),bind(X1,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7597,plain,
composition(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(complement(one))),bind(X_145,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7598,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(one))),bind(X_270,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7599,plain,
complement(one) = join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7600,plain,
join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(join(zero,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7601,plain,
( top != join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))
| join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7602,plain,
join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(zero,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2886,refute_0_7601]) ).
cnf(refute_0_7603,plain,
( join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))) != top
| join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7604,plain,
( join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_7602,refute_0_7603]) ).
cnf(refute_0_7605,plain,
join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(join(one,join(zero,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_7600,refute_0_7604]) ).
cnf(refute_0_7606,plain,
join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2) = join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(zero)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7607,plain,
join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),
introduced(tautology,[refl,[$fot(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)))]]) ).
cnf(refute_0_7608,plain,
( join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2) != join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))
| join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2))
| join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2))) ),[1,1],$fot(join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_7609,plain,
( join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2) != join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))
| join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2))) )],[refute_0_7607,refute_0_7608]) ).
cnf(refute_0_7610,plain,
join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(resolve,[$cnf( $equal(join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2),join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_7606,refute_0_7609]) ).
cnf(refute_0_7611,plain,
( join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(top,X2)
| join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(top,X2)) ),[0],$fot(join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_7612,plain,
( join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(top,X2)
| join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_7610,refute_0_7611]) ).
cnf(refute_0_7613,plain,
join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(join(zero,complement(converse(skolemFOFtoCNF_X0))),X2)),join(top,X2)) )],[refute_0_7605,refute_0_7612]) ).
cnf(refute_0_7614,plain,
join(top,X2) = top,
inference(subst,[],[refute_0_1304:[bind(X_82,$fot(X2))]]) ).
cnf(refute_0_7615,plain,
( join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != join(top,X2)
| join(top,X2) != top
| join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_7616,plain,
( join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != join(top,X2)
| join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_0_7614,refute_0_7615]) ).
cnf(refute_0_7617,plain,
join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = top,
inference(resolve,[$cnf( $equal(join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))),join(top,X2)) )],[refute_0_7613,refute_0_7616]) ).
cnf(refute_0_7618,plain,
join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),
inference(subst,[],[refute_0_3224:[bind(X2,$fot(join(complement(converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_7619,plain,
( join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))
| join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != top
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))),top) ),[0],$fot(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_7620,plain,
( join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))) != top
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = top ),
inference(resolve,[$cnf( $equal(join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))),join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_7618,refute_0_7619]) ).
cnf(refute_0_7621,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(zero,join(complement(converse(skolemFOFtoCNF_X0)),X2))),top) )],[refute_0_7617,refute_0_7620]) ).
cnf(refute_0_7622,plain,
join(one,join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(subst,[],[refute_0_7621:[bind(X2,$fot(composition(X_144,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7623,plain,
composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))) = join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_834:[bind(X_146,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7624,plain,
( composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))) != join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0)))) = composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7625,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0)))) = composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))),join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7623,refute_0_7624]) ).
cnf(refute_0_7626,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0)))) != composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0)))
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))) != top
| join(one,composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))),top) ),[0,1],$fot(composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7627,plain,
( join(one,join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))) != top
| join(one,composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0)))),composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7625,refute_0_7626]) ).
cnf(refute_0_7628,plain,
join(one,composition(join(X_144,one),complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),composition(X_144,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_7622,refute_0_7627]) ).
cnf(refute_0_7629,plain,
join(one,composition(join(top,one),complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_7628:[bind(X_144,$fot(top))]]) ).
cnf(refute_0_7630,plain,
( join(one,composition(join(top,one),complement(converse(skolemFOFtoCNF_X0)))) != top
| join(top,one) != top
| join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(top,one),complement(converse(skolemFOFtoCNF_X0)))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_7631,plain,
( join(one,composition(join(top,one),complement(converse(skolemFOFtoCNF_X0)))) != top
| join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_3817,refute_0_7630]) ).
cnf(refute_0_7632,plain,
join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(one,composition(join(top,one),complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_7629,refute_0_7631]) ).
cnf(refute_0_7633,plain,
( complement(one) != join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != top
| complement(one) = join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_7634,plain,
( complement(one) != join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| complement(one) = join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_7632,refute_0_7633]) ).
cnf(refute_0_7635,plain,
complement(one) = join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7599,refute_0_7634]) ).
cnf(refute_0_7636,plain,
join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7637,plain,
join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7638,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7639,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7637,refute_0_7638]) ).
cnf(refute_0_7640,plain,
join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_7639]) ).
cnf(refute_0_7641,plain,
( join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7642,plain,
( join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7640,refute_0_7641]) ).
cnf(refute_0_7643,plain,
join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7636,refute_0_7642]) ).
cnf(refute_0_7644,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7645,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7643,refute_0_7644]) ).
cnf(refute_0_7646,plain,
complement(one) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7635,refute_0_7645]) ).
cnf(refute_0_7647,plain,
( complement(one) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7648,plain,
meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7646,refute_0_7647]) ).
cnf(refute_0_7649,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_7650,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_7648,refute_0_7649]) ).
cnf(refute_0_7651,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7598,refute_0_7650]) ).
cnf(refute_0_7652,plain,
join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)) = join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_7653,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one))
| join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)) != join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)))]]) ).
cnf(refute_0_7654,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7652,refute_0_7653]) ).
cnf(refute_0_7655,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one))) )],[refute_0_7651,refute_0_7654]) ).
cnf(refute_0_7656,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7657,plain,
join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7655,refute_0_7656]) ).
cnf(refute_0_7658,plain,
( composition(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0,0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7659,plain,
( composition(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7657,refute_0_7658]) ).
cnf(refute_0_7660,plain,
composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7597,refute_0_7659]) ).
cnf(refute_0_7661,plain,
composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7662,plain,
( composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != zero
| zero = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_7663,plain,
( composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| zero = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_7661,refute_0_7662]) ).
cnf(refute_0_7664,plain,
composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_803:[bind(X2,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7665,plain,
converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7666,plain,
( composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7667,plain,
( composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7665,refute_0_7666]) ).
cnf(refute_0_7668,plain,
converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7664,refute_0_7667]) ).
cnf(refute_0_7669,plain,
complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7670,plain,
( complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7671,plain,
( converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7669,refute_0_7670]) ).
cnf(refute_0_7672,plain,
complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7668,refute_0_7671]) ).
cnf(refute_0_7673,plain,
composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7674,plain,
( complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7675,plain,
( complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7673,refute_0_7674]) ).
cnf(refute_0_7676,plain,
composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7672,refute_0_7675]) ).
cnf(refute_0_7677,plain,
( composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| zero != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| zero = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7678,plain,
( zero != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| zero = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7676,refute_0_7677]) ).
cnf(refute_0_7679,plain,
( composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| zero = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(zero,composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7663,refute_0_7678]) ).
cnf(refute_0_7680,plain,
zero = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7660,refute_0_7679]) ).
cnf(refute_0_7681,plain,
( zero != composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7682,plain,
composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7680,refute_0_7681]) ).
cnf(refute_0_7683,plain,
( composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != zero
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_7684,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_7682,refute_0_7683]) ).
cnf(refute_0_7685,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7596,refute_0_7684]) ).
cnf(refute_0_7686,plain,
converse(join(composition(complement(one),top),X1)) = join(converse(composition(complement(one),top)),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_7687,plain,
( converse(composition(complement(one),top)) != composition(top,complement(one))
| converse(join(composition(complement(one),top),X1)) != join(converse(composition(complement(one),top)),converse(X1))
| converse(join(composition(complement(one),top),X1)) = join(composition(top,complement(one)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),join(converse(composition(complement(one),top)),converse(X1))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_7688,plain,
( converse(join(composition(complement(one),top),X1)) != join(converse(composition(complement(one),top)),converse(X1))
| converse(join(composition(complement(one),top),X1)) = join(composition(top,complement(one)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_3561,refute_0_7687]) ).
cnf(refute_0_7689,plain,
converse(join(composition(complement(one),top),X1)) = join(composition(top,complement(one)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),join(converse(composition(complement(one),top)),converse(X1))) )],[refute_0_7686,refute_0_7688]) ).
cnf(refute_0_7690,plain,
join(composition(complement(one),top),X1) = join(composition(complement(one),top),X1),
introduced(tautology,[refl,[$fot(join(composition(complement(one),top),X1))]]) ).
cnf(refute_0_7691,plain,
( composition(complement(one),top) != composition(top,complement(one))
| join(composition(complement(one),top),X1) != join(composition(complement(one),top),X1)
| join(composition(complement(one),top),X1) = join(composition(top,complement(one)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(one),top),X1),join(composition(complement(one),top),X1)) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_7692,plain,
( composition(complement(one),top) != composition(top,complement(one))
| join(composition(complement(one),top),X1) = join(composition(top,complement(one)),X1) ),
inference(resolve,[$cnf( $equal(join(composition(complement(one),top),X1),join(composition(complement(one),top),X1)) )],[refute_0_7690,refute_0_7691]) ).
cnf(refute_0_7693,plain,
join(composition(complement(one),top),X1) = join(composition(top,complement(one)),X1),
inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_3861,refute_0_7692]) ).
cnf(refute_0_7694,plain,
converse(join(composition(complement(one),top),X1)) = converse(join(composition(complement(one),top),X1)),
introduced(tautology,[refl,[$fot(converse(join(composition(complement(one),top),X1)))]]) ).
cnf(refute_0_7695,plain,
( converse(join(composition(complement(one),top),X1)) != converse(join(composition(complement(one),top),X1))
| join(composition(complement(one),top),X1) != join(composition(top,complement(one)),X1)
| converse(join(composition(complement(one),top),X1)) = converse(join(composition(top,complement(one)),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),converse(join(composition(complement(one),top),X1))) ),[1,0],$fot(join(composition(top,complement(one)),X1))]]) ).
cnf(refute_0_7696,plain,
( join(composition(complement(one),top),X1) != join(composition(top,complement(one)),X1)
| converse(join(composition(complement(one),top),X1)) = converse(join(composition(top,complement(one)),X1)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),converse(join(composition(complement(one),top),X1))) )],[refute_0_7694,refute_0_7695]) ).
cnf(refute_0_7697,plain,
converse(join(composition(complement(one),top),X1)) = converse(join(composition(top,complement(one)),X1)),
inference(resolve,[$cnf( $equal(join(composition(complement(one),top),X1),join(composition(top,complement(one)),X1)) )],[refute_0_7693,refute_0_7696]) ).
cnf(refute_0_7698,plain,
( converse(join(composition(complement(one),top),X1)) != converse(join(composition(top,complement(one)),X1))
| converse(join(composition(complement(one),top),X1)) != join(composition(top,complement(one)),converse(X1))
| converse(join(composition(top,complement(one)),X1)) = join(composition(top,complement(one)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),join(composition(top,complement(one)),converse(X1))) ),[0],$fot(converse(join(composition(top,complement(one)),X1)))]]) ).
cnf(refute_0_7699,plain,
( converse(join(composition(complement(one),top),X1)) != join(composition(top,complement(one)),converse(X1))
| converse(join(composition(top,complement(one)),X1)) = join(composition(top,complement(one)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),converse(join(composition(top,complement(one)),X1))) )],[refute_0_7697,refute_0_7698]) ).
cnf(refute_0_7700,plain,
converse(join(composition(top,complement(one)),X1)) = join(composition(top,complement(one)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(one),top),X1)),join(composition(top,complement(one)),converse(X1))) )],[refute_0_7689,refute_0_7699]) ).
cnf(refute_0_7701,plain,
( converse(join(composition(top,complement(one)),X1)) != join(composition(top,complement(one)),converse(X1))
| join(composition(top,complement(one)),converse(X1)) = converse(join(composition(top,complement(one)),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(composition(top,complement(one)),X1)))),bind(Y,$fot(join(composition(top,complement(one)),converse(X1))))]]) ).
cnf(refute_0_7702,plain,
join(composition(top,complement(one)),converse(X1)) = converse(join(composition(top,complement(one)),X1)),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(one)),X1)),join(composition(top,complement(one)),converse(X1))) )],[refute_0_7700,refute_0_7701]) ).
cnf(refute_0_7703,plain,
join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7702:[bind(X1,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7704,plain,
complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7705,plain,
join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7706,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7707,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7705,refute_0_7706]) ).
cnf(refute_0_7708,plain,
join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7704,refute_0_7707]) ).
cnf(refute_0_7709,plain,
composition(complement(one),complement(zero)) = composition(complement(one),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(one),complement(zero)))]]) ).
cnf(refute_0_7710,plain,
( complement(zero) != top
| composition(complement(one),complement(zero)) != composition(complement(one),complement(zero))
| composition(complement(one),complement(zero)) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(zero)),composition(complement(one),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7711,plain,
( complement(zero) != top
| composition(complement(one),complement(zero)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(zero)),composition(complement(one),complement(zero))) )],[refute_0_7709,refute_0_7710]) ).
cnf(refute_0_7712,plain,
composition(complement(one),complement(zero)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_7711]) ).
cnf(refute_0_7713,plain,
composition(converse(complement(one)),complement(zero)) = composition(converse(complement(one)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(one)),complement(zero)))]]) ).
cnf(refute_0_7714,plain,
( composition(converse(complement(one)),complement(zero)) != composition(converse(complement(one)),complement(zero))
| converse(complement(one)) != complement(one)
| composition(converse(complement(one)),complement(zero)) = composition(complement(one),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(one)),complement(zero)),composition(converse(complement(one)),complement(zero))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7715,plain,
( converse(complement(one)) != complement(one)
| composition(converse(complement(one)),complement(zero)) = composition(complement(one),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(zero)),composition(converse(complement(one)),complement(zero))) )],[refute_0_7713,refute_0_7714]) ).
cnf(refute_0_7716,plain,
composition(converse(complement(one)),complement(zero)) = composition(complement(one),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1534,refute_0_7715]) ).
cnf(refute_0_7717,plain,
( composition(complement(one),complement(zero)) != composition(complement(one),top)
| composition(converse(complement(one)),complement(zero)) != composition(complement(one),complement(zero))
| composition(converse(complement(one)),complement(zero)) = composition(complement(one),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(one)),complement(zero)))),bind(Y,$fot(composition(complement(one),complement(zero)))),bind(Z,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_7718,plain,
( composition(complement(one),complement(zero)) != composition(complement(one),top)
| composition(converse(complement(one)),complement(zero)) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(zero)),composition(complement(one),complement(zero))) )],[refute_0_7716,refute_0_7717]) ).
cnf(refute_0_7719,plain,
composition(converse(complement(one)),complement(zero)) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(zero)),composition(complement(one),top)) )],[refute_0_7712,refute_0_7718]) ).
cnf(refute_0_7720,plain,
( composition(complement(one),top) != composition(top,complement(one))
| composition(converse(complement(one)),complement(zero)) != composition(complement(one),top)
| composition(converse(complement(one)),complement(zero)) = composition(top,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(one)),complement(zero)))),bind(Y,$fot(composition(complement(one),top))),bind(Z,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_7721,plain,
( composition(complement(one),top) != composition(top,complement(one))
| composition(converse(complement(one)),complement(zero)) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(zero)),composition(complement(one),top)) )],[refute_0_7719,refute_0_7720]) ).
cnf(refute_0_7722,plain,
composition(converse(complement(one)),complement(zero)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(composition(complement(one),top),composition(top,complement(one))) )],[refute_0_3861,refute_0_7721]) ).
cnf(refute_0_7723,plain,
join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7724,plain,
( composition(converse(complement(one)),complement(zero)) != composition(top,complement(one))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_7725,plain,
( composition(converse(complement(one)),complement(zero)) != composition(top,complement(one))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7723,refute_0_7724]) ).
cnf(refute_0_7726,plain,
join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(one)),complement(zero)),composition(top,complement(one))) )],[refute_0_7722,refute_0_7725]) ).
cnf(refute_0_7727,plain,
( join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7728,plain,
( join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7726,refute_0_7727]) ).
cnf(refute_0_7729,plain,
join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7708,refute_0_7728]) ).
cnf(refute_0_7730,plain,
( join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7731,plain,
( join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7729,refute_0_7730]) ).
cnf(refute_0_7732,plain,
join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(composition(top,complement(one)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7703,refute_0_7731]) ).
cnf(refute_0_7733,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_20,$fot(composition(converse(complement(one)),complement(zero))))]]) ).
cnf(refute_0_7734,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) != join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))))),bind(Y,$fot(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7735,plain,
( join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))),join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7733,refute_0_7734]) ).
cnf(refute_0_7736,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) = converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(composition(converse(complement(one)),complement(zero)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7732,refute_0_7735]) ).
cnf(refute_0_7737,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) != converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7738,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))),converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7736,refute_0_7737]) ).
cnf(refute_0_7739,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7740,plain,
( converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7704,refute_0_7739]) ).
cnf(refute_0_7741,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7738,refute_0_7740]) ).
cnf(refute_0_7742,plain,
converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(one)),complement(zero))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7685,refute_0_7741]) ).
cnf(refute_0_7743,plain,
( converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) ),[1,0],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7744,plain,
( converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7742,refute_0_7743]) ).
cnf(refute_0_7745,plain,
converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),top)) )],[refute_0_7595,refute_0_7744]) ).
cnf(refute_0_7746,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,top)))]]) ).
cnf(refute_0_7747,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),composition(top,top))
| composition(top,top) != top
| composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7748,plain,
( composition(top,top) != top
| composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) )],[refute_0_7746,refute_0_7747]) ).
cnf(refute_0_7749,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_800,refute_0_7748]) ).
cnf(refute_0_7750,plain,
complement(converse(converse(skolemFOFtoCNF_X0))) = complement(converse(converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7751,plain,
( complement(converse(converse(skolemFOFtoCNF_X0))) != complement(converse(converse(skolemFOFtoCNF_X0)))
| converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(skolemFOFtoCNF_X0))),complement(converse(converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_7752,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(skolemFOFtoCNF_X0))),complement(converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7750,refute_0_7751]) ).
cnf(refute_0_7753,plain,
complement(converse(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_6165,refute_0_7752]) ).
cnf(refute_0_7754,plain,
converse(complement(converse(skolemFOFtoCNF_X0))) = complement(converse(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7755,plain,
( complement(converse(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(complement(converse(skolemFOFtoCNF_X0))) != complement(converse(converse(skolemFOFtoCNF_X0)))
| converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(converse(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7756,plain,
( complement(converse(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7754,refute_0_7755]) ).
cnf(refute_0_7757,plain,
converse(complement(converse(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(converse(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_7753,refute_0_7756]) ).
cnf(refute_0_7758,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)))]]) ).
cnf(refute_0_7759,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) != composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top))
| converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7760,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top))) )],[refute_0_7758,refute_0_7759]) ).
cnf(refute_0_7761,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_7757,refute_0_7760]) ).
cnf(refute_0_7762,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),composition(top,top))
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7763,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) )],[refute_0_7761,refute_0_7762]) ).
cnf(refute_0_7764,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7749,refute_0_7763]) ).
cnf(refute_0_7765,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(top)),bind(X_414,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7766,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) != composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))),bind(Y,$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7767,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top))) )],[refute_0_7765,refute_0_7766]) ).
cnf(refute_0_7768,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7764,refute_0_7767]) ).
cnf(refute_0_7769,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_7770,plain,
( converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7768,refute_0_7769]) ).
cnf(refute_0_7771,plain,
converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_7745,refute_0_7770]) ).
cnf(refute_0_7772,plain,
converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(X0)),
inference(subst,[],[refute_0_57:[bind(X1,$fot(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7773,plain,
( converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(X0))
| converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(X0))) ),[1,0],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7774,plain,
( converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(X0))
| converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7742,refute_0_7773]) ).
cnf(refute_0_7775,plain,
converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(X0))) )],[refute_0_7772,refute_0_7774]) ).
cnf(refute_0_7776,plain,
composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) = composition(converse(top),complement(converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7777,plain,
( composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) != composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))
| converse(top) != top
| composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(converse(skolemFOFtoCNF_X0))),composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7778,plain,
( converse(top) != top
| composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(skolemFOFtoCNF_X0))),composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7776,refute_0_7777]) ).
cnf(refute_0_7779,plain,
composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_7778]) ).
cnf(refute_0_7780,plain,
composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) = composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7781,plain,
( composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) != composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) = composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))),composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7782,plain,
( composition(converse(top),complement(converse(skolemFOFtoCNF_X0))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) = composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))),composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7780,refute_0_7781]) ).
cnf(refute_0_7783,plain,
composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) = composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7779,refute_0_7782]) ).
cnf(refute_0_7784,plain,
converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7785,plain,
( composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) != composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))),converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7786,plain,
( composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))) != composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))),converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7784,refute_0_7785]) ).
cnf(refute_0_7787,plain,
converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))),composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7783,refute_0_7786]) ).
cnf(refute_0_7788,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0))) = converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2366:[bind(X_13,$fot(top)),bind(X_14,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7789,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0))),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(converse(X0))),bind(X_414,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7790,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0))) != converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) != composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0)))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)))),bind(Y,$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0))))),bind(Z,$fot(converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7791,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0))) != converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0)))) )],[refute_0_7789,refute_0_7790]) ).
cnf(refute_0_7792,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,converse(X0))),converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7788,refute_0_7791]) ).
cnf(refute_0_7793,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) != converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)))),bind(Y,$fot(converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7794,plain,
( converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)),converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7792,refute_0_7793]) ).
cnf(refute_0_7795,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(top),complement(converse(skolemFOFtoCNF_X0))))),converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7787,refute_0_7794]) ).
cnf(refute_0_7796,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)) != converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0))
| converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0))) ),[1],$fot(converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7797,plain,
( converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0))
| converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0)),converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7795,refute_0_7796]) ).
cnf(refute_0_7798,plain,
converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(X0,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(X0))) )],[refute_0_7775,refute_0_7797]) ).
cnf(refute_0_7799,plain,
converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7798:[bind(X0,$fot(top))]]) ).
cnf(refute_0_7800,plain,
( converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7801,plain,
( converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7799,refute_0_7800]) ).
cnf(refute_0_7802,plain,
converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7668,refute_0_7801]) ).
cnf(refute_0_7803,plain,
( converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),top)) ),[0],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7804,plain,
( converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7802,refute_0_7803]) ).
cnf(refute_0_7805,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7771,refute_0_7804]) ).
cnf(refute_0_7806,plain,
complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7807,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_7808,plain,
( converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7806,refute_0_7807]) ).
cnf(refute_0_7809,plain,
complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7805,refute_0_7808]) ).
cnf(refute_0_7810,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7811,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7812,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7810,refute_0_7811]) ).
cnf(refute_0_7813,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7809,refute_0_7812]) ).
cnf(refute_0_7814,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != zero
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),zero) ),[0],$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7815,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != zero
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7813,refute_0_7814]) ).
cnf(refute_0_7816,plain,
composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_4809,refute_0_7815]) ).
cnf(refute_0_7817,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != zero
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_7818,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_7816,refute_0_7817]) ).
cnf(refute_0_7819,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7594,refute_0_7818]) ).
cnf(refute_0_7820,plain,
composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7821,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != top
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_7822,plain,
( join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != top
| composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7820,refute_0_7821]) ).
cnf(refute_0_7823,plain,
composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),
inference(resolve,[$cnf( $equal(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_7632,refute_0_7822]) ).
cnf(refute_0_7824,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7825,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))]]) ).
cnf(refute_0_7826,plain,
( composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7824,refute_0_7825]) ).
cnf(refute_0_7827,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) )],[refute_0_7823,refute_0_7826]) ).
cnf(refute_0_7828,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))) ),[0],$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))]]) ).
cnf(refute_0_7829,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_7827,refute_0_7828]) ).
cnf(refute_0_7830,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7831,plain,
join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7832,plain,
converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7833,plain,
( converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))))
| join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7834,plain,
( join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7832,refute_0_7833]) ).
cnf(refute_0_7835,plain,
converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7831,refute_0_7834]) ).
cnf(refute_0_7836,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7837,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))),converse(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7835,refute_0_7836]) ).
cnf(refute_0_7838,plain,
converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),top))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7830,refute_0_7837]) ).
cnf(refute_0_7839,plain,
converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) = converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7840,plain,
( converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) != converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)))),bind(Y,$fot(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7841,plain,
( converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)),converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7839,refute_0_7840]) ).
cnf(refute_0_7842,plain,
converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(join(zero,complement(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7838,refute_0_7841]) ).
cnf(refute_0_7843,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))
| converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0],$fot(converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)))]]) ).
cnf(refute_0_7844,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7842,refute_0_7843]) ).
cnf(refute_0_7845,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))
| converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))) )],[refute_0_7829,refute_0_7844]) ).
cnf(refute_0_7846,plain,
converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(complement(composition(complement(skolemFOFtoCNF_X0),top)),zero))) )],[refute_0_7819,refute_0_7845]) ).
cnf(refute_0_7847,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != composition(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),top)
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),composition(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),top)) ),[1,0],$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7848,plain,
( converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != composition(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),top)
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7846,refute_0_7847]) ).
cnf(refute_0_7849,plain,
converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),composition(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),top)) )],[refute_0_7593,refute_0_7848]) ).
cnf(refute_0_7850,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2))]]) ).
cnf(refute_0_7851,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7852,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_7850,refute_0_7851]) ).
cnf(refute_0_7853,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7809,refute_0_7852]) ).
cnf(refute_0_7854,plain,
composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)))]]) ).
cnf(refute_0_7855,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2))
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2))) ),[1,1],$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2))]]) ).
cnf(refute_0_7856,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2))) )],[refute_0_7854,refute_0_7855]) ).
cnf(refute_0_7857,plain,
composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) = composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) )],[refute_0_7853,refute_0_7856]) ).
cnf(refute_0_7858,plain,
( composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)
| composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2))
| composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) ),[0],$fot(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)))]]) ).
cnf(refute_0_7859,plain,
( composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)
| composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2))) )],[refute_0_7857,refute_0_7858]) ).
cnf(refute_0_7860,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)
| composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)
| composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) ),[1],$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2))]]) ).
cnf(refute_0_7861,plain,
( composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)
| composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) )],[refute_0_7853,refute_0_7860]) ).
cnf(refute_0_7862,plain,
( composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)
| composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_7859,refute_0_7861]) ).
cnf(refute_0_7863,plain,
composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),X2),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_4817,refute_0_7862]) ).
cnf(refute_0_7864,plain,
composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) = composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top),
inference(subst,[],[refute_0_7863:[bind(X2,$fot(top))]]) ).
cnf(refute_0_7865,plain,
converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))]]) ).
cnf(refute_0_7866,plain,
( composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) ),[1,0],$fot(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))]]) ).
cnf(refute_0_7867,plain,
( composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))) )],[refute_0_7865,refute_0_7866]) ).
cnf(refute_0_7868,plain,
converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) )],[refute_0_7864,refute_0_7867]) ).
cnf(refute_0_7869,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))))),bind(Y,$fot(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)))),bind(Z,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7870,plain,
( converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) )],[refute_0_7868,refute_0_7869]) ).
cnf(refute_0_7871,plain,
converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top)),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7846,refute_0_7870]) ).
cnf(refute_0_7872,plain,
( converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)
| complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) ),[0],$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7873,plain,
( converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))) != composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)
| complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7871,refute_0_7872]) ).
cnf(refute_0_7874,plain,
complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(composition(complement(skolemFOFtoCNF_X0),top)),top))),composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) )],[refute_0_7849,refute_0_7873]) ).
cnf(refute_0_7875,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)
| composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))]]) ).
cnf(refute_0_7876,plain,
composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) = complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) )],[refute_0_7874,refute_0_7875]) ).
cnf(refute_0_7877,plain,
( composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))) ),[1,1,0],$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7878,plain,
( composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7876,refute_0_7877]) ).
cnf(refute_0_7879,plain,
composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))) )],[refute_0_7592,refute_0_7878]) ).
cnf(refute_0_7880,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),composition(top,top)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_0_7881,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),composition(top,top))
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),top))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7882,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(complement(skolemFOFtoCNF_X0),composition(top,top))) )],[refute_0_7880,refute_0_7881]) ).
cnf(refute_0_7883,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),top) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7749,refute_0_7882]) ).
cnf(refute_0_7884,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)))]]) ).
cnf(refute_0_7885,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) != converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_7886,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))) )],[refute_0_7884,refute_0_7885]) ).
cnf(refute_0_7887,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7883,refute_0_7886]) ).
cnf(refute_0_7888,plain,
composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7889,plain,
( composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7890,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top))) )],[refute_0_7888,refute_0_7889]) ).
cnf(refute_0_7891,plain,
composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7887,refute_0_7890]) ).
cnf(refute_0_7892,plain,
complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7893,plain,
complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))]]) ).
cnf(refute_0_7894,plain,
( complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) != complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))
| composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) ),[1,0],$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7895,plain,
( composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top) != complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)),complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) )],[refute_0_7893,refute_0_7894]) ).
cnf(refute_0_7896,plain,
complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top),complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7876,refute_0_7895]) ).
cnf(refute_0_7897,plain,
( complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) != complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))),bind(Y,$fot(complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7898,plain,
( complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7896,refute_0_7897]) ).
cnf(refute_0_7899,plain,
complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7892,refute_0_7898]) ).
cnf(refute_0_7900,plain,
composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),
introduced(tautology,[refl,[$fot(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))))]]) ).
cnf(refute_0_7901,plain,
( complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7902,plain,
( complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)))) )],[refute_0_7900,refute_0_7901]) ).
cnf(refute_0_7903,plain,
composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7899,refute_0_7902]) ).
cnf(refute_0_7904,plain,
( composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))))),bind(Y,$fot(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7905,plain,
( composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7903,refute_0_7904]) ).
cnf(refute_0_7906,plain,
composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7891,refute_0_7905]) ).
cnf(refute_0_7907,plain,
( composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7908,plain,
( composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7906,refute_0_7907]) ).
cnf(refute_0_7909,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7910,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7911,plain,
( composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7909,refute_0_7910]) ).
cnf(refute_0_7912,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7891,refute_0_7911]) ).
cnf(refute_0_7913,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7914,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7915,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7913,refute_0_7914]) ).
cnf(refute_0_7916,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7912,refute_0_7915]) ).
cnf(refute_0_7917,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_7918,plain,
( complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7919,plain,
( complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7917,refute_0_7918]) ).
cnf(refute_0_7920,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7892,refute_0_7919]) ).
cnf(refute_0_7921,plain,
complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7922,plain,
converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7923,plain,
complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7924,plain,
( complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_7925,plain,
( converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7923,refute_0_7924]) ).
cnf(refute_0_7926,plain,
complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7922,refute_0_7925]) ).
cnf(refute_0_7927,plain,
converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7928,plain,
( complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(complement(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7929,plain,
( complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7927,refute_0_7928]) ).
cnf(refute_0_7930,plain,
converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = complement(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7926,refute_0_7929]) ).
cnf(refute_0_7931,plain,
complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_7932,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7933,plain,
( converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != complement(composition(complement(skolemFOFtoCNF_X0),top))
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7931,refute_0_7932]) ).
cnf(refute_0_7934,plain,
complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))),complement(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7930,refute_0_7933]) ).
cnf(refute_0_7935,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7936,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7934,refute_0_7935]) ).
cnf(refute_0_7937,plain,
complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7921,refute_0_7936]) ).
cnf(refute_0_7938,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_7939,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_7940,plain,
( complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7938,refute_0_7939]) ).
cnf(refute_0_7941,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7937,refute_0_7940]) ).
cnf(refute_0_7942,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Z,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7943,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7941,refute_0_7942]) ).
cnf(refute_0_7944,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7920,refute_0_7943]) ).
cnf(refute_0_7945,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Y,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7946,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7944,refute_0_7945]) ).
cnf(refute_0_7947,plain,
composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7916,refute_0_7946]) ).
cnf(refute_0_7948,plain,
( composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7949,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7947,refute_0_7948]) ).
cnf(refute_0_7950,plain,
( composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))) != composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7908,refute_0_7949]) ).
cnf(refute_0_7951,plain,
converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))),top))),composition(complement(converse(complement(converse(composition(complement(skolemFOFtoCNF_X0),top))))),complement(complement(converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7879,refute_0_7950]) ).
cnf(refute_0_7952,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_7953,plain,
composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7951,refute_0_7952]) ).
cnf(refute_0_7954,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7955,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7953,refute_0_7954]) ).
cnf(refute_0_7956,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7584,refute_0_7955]) ).
cnf(refute_0_7957,plain,
composition(join(X_418,one),composition(X_418,top)) = composition(X_418,top),
inference(subst,[],[refute_0_7026:[bind(X_399,$fot(X_418))]]) ).
cnf(refute_0_7958,plain,
join(one,X_418) = join(X_418,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_418))]]) ).
cnf(refute_0_7959,plain,
( join(one,X_418) != join(X_418,one)
| join(X_418,one) = join(one,X_418) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_418))),bind(Y,$fot(join(X_418,one)))]]) ).
cnf(refute_0_7960,plain,
join(X_418,one) = join(one,X_418),
inference(resolve,[$cnf( $equal(join(one,X_418),join(X_418,one)) )],[refute_0_7958,refute_0_7959]) ).
cnf(refute_0_7961,plain,
( composition(join(X_418,one),composition(X_418,top)) != composition(X_418,top)
| join(X_418,one) != join(one,X_418)
| composition(join(one,X_418),composition(X_418,top)) = composition(X_418,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_418,one),composition(X_418,top)),composition(X_418,top)) ),[0,0],$fot(join(one,X_418))]]) ).
cnf(refute_0_7962,plain,
( composition(join(X_418,one),composition(X_418,top)) != composition(X_418,top)
| composition(join(one,X_418),composition(X_418,top)) = composition(X_418,top) ),
inference(resolve,[$cnf( $equal(join(X_418,one),join(one,X_418)) )],[refute_0_7960,refute_0_7961]) ).
cnf(refute_0_7963,plain,
composition(join(one,X_418),composition(X_418,top)) = composition(X_418,top),
inference(resolve,[$cnf( $equal(composition(join(X_418,one),composition(X_418,top)),composition(X_418,top)) )],[refute_0_7957,refute_0_7962]) ).
cnf(refute_0_7964,plain,
composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_7963:[bind(X_418,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7965,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7966,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) != composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7967,plain,
( composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)),composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7965,refute_0_7966]) ).
cnf(refute_0_7968,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7964,refute_0_7967]) ).
cnf(refute_0_7969,plain,
converse(composition(X_11,converse(composition(X_18,converse(X_17))))) = composition(composition(X_18,converse(X_17)),converse(X_11)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(composition(X_18,converse(X_17))))]]) ).
cnf(refute_0_7970,plain,
converse(composition(X_18,converse(X_17))) = composition(X_17,converse(X_18)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(X_17)),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_7971,plain,
( converse(composition(X_11,converse(composition(X_18,converse(X_17))))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_18,converse(X_17))) != composition(X_17,converse(X_18))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(composition(X_18,converse(X_17)),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,converse(composition(X_18,converse(X_17))))),composition(composition(X_18,converse(X_17)),converse(X_11))) ),[0,0,1],$fot(composition(X_17,converse(X_18)))]]) ).
cnf(refute_0_7972,plain,
( converse(composition(X_11,converse(composition(X_18,converse(X_17))))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(composition(X_18,converse(X_17)),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(X_17))),composition(X_17,converse(X_18))) )],[refute_0_7970,refute_0_7971]) ).
cnf(refute_0_7973,plain,
converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(composition(X_18,converse(X_17)),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,converse(composition(X_18,converse(X_17))))),composition(composition(X_18,converse(X_17)),converse(X_11))) )],[refute_0_7969,refute_0_7972]) ).
cnf(refute_0_7974,plain,
composition(converse(X_17),converse(X_11)) = converse(composition(X_11,X_17)),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(X_11)),bind(X1,$fot(X_17))]]) ).
cnf(refute_0_7975,plain,
composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,composition(converse(X_17),converse(X_11))),
introduced(tautology,[refl,[$fot(composition(X_18,composition(converse(X_17),converse(X_11))))]]) ).
cnf(refute_0_7976,plain,
( composition(X_18,composition(converse(X_17),converse(X_11))) != composition(X_18,composition(converse(X_17),converse(X_11)))
| composition(converse(X_17),converse(X_11)) != converse(composition(X_11,X_17))
| composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,converse(composition(X_11,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_18,composition(converse(X_17),converse(X_11))),composition(X_18,composition(converse(X_17),converse(X_11)))) ),[1,1],$fot(converse(composition(X_11,X_17)))]]) ).
cnf(refute_0_7977,plain,
( composition(converse(X_17),converse(X_11)) != converse(composition(X_11,X_17))
| composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(resolve,[$cnf( $equal(composition(X_18,composition(converse(X_17),converse(X_11))),composition(X_18,composition(converse(X_17),converse(X_11)))) )],[refute_0_7975,refute_0_7976]) ).
cnf(refute_0_7978,plain,
composition(X_18,composition(converse(X_17),converse(X_11))) = composition(X_18,converse(composition(X_11,X_17))),
inference(resolve,[$cnf( $equal(composition(converse(X_17),converse(X_11)),converse(composition(X_11,X_17))) )],[refute_0_7974,refute_0_7977]) ).
cnf(refute_0_7979,plain,
composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,composition(converse(X_17),converse(X_11))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(X_18)),bind(X1,$fot(converse(X_17))),bind(X2,$fot(converse(X_11)))]]) ).
cnf(refute_0_7980,plain,
( composition(X_18,composition(converse(X_17),converse(X_11))) != composition(X_18,converse(composition(X_11,X_17)))
| composition(composition(X_18,converse(X_17)),converse(X_11)) != composition(X_18,composition(converse(X_17),converse(X_11)))
| composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(X_18,converse(X_17)),converse(X_11)))),bind(Y,$fot(composition(X_18,composition(converse(X_17),converse(X_11))))),bind(Z,$fot(composition(X_18,converse(composition(X_11,X_17)))))]]) ).
cnf(refute_0_7981,plain,
( composition(X_18,composition(converse(X_17),converse(X_11))) != composition(X_18,converse(composition(X_11,X_17)))
| composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_18,converse(X_17)),converse(X_11)),composition(X_18,composition(converse(X_17),converse(X_11)))) )],[refute_0_7979,refute_0_7980]) ).
cnf(refute_0_7982,plain,
composition(composition(X_18,converse(X_17)),converse(X_11)) = composition(X_18,converse(composition(X_11,X_17))),
inference(resolve,[$cnf( $equal(composition(X_18,composition(converse(X_17),converse(X_11))),composition(X_18,converse(composition(X_11,X_17)))) )],[refute_0_7978,refute_0_7981]) ).
cnf(refute_0_7983,plain,
( composition(composition(X_18,converse(X_17)),converse(X_11)) != composition(X_18,converse(composition(X_11,X_17)))
| converse(composition(X_11,composition(X_17,converse(X_18)))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(X_18,converse(composition(X_11,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,composition(X_17,converse(X_18)))),composition(composition(X_18,converse(X_17)),converse(X_11))) ),[1],$fot(composition(X_18,converse(composition(X_11,X_17))))]]) ).
cnf(refute_0_7984,plain,
( converse(composition(X_11,composition(X_17,converse(X_18)))) != composition(composition(X_18,converse(X_17)),converse(X_11))
| converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(X_18,converse(composition(X_11,X_17))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_18,converse(X_17)),converse(X_11)),composition(X_18,converse(composition(X_11,X_17)))) )],[refute_0_7982,refute_0_7983]) ).
cnf(refute_0_7985,plain,
converse(composition(X_11,composition(X_17,converse(X_18)))) = composition(X_18,converse(composition(X_11,X_17))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,composition(X_17,converse(X_18)))),composition(composition(X_18,converse(X_17)),converse(X_11))) )],[refute_0_7973,refute_0_7984]) ).
cnf(refute_0_7986,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),
inference(subst,[],[refute_0_7985:[bind(X_11,$fot(complement(skolemFOFtoCNF_X0))),bind(X_17,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7987,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,1,0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7988,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7953,refute_0_7987]) ).
cnf(refute_0_7989,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7986,refute_0_7988]) ).
cnf(refute_0_7990,plain,
composition(top,converse(complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7991,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7992,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| composition(top,converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_7993,plain,
( composition(top,converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7991,refute_0_7992]) ).
cnf(refute_0_7994,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(complement(skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7990,refute_0_7993]) ).
cnf(refute_0_7995,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_7996,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7994,refute_0_7995]) ).
cnf(refute_0_7997,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7953,refute_0_7996]) ).
cnf(refute_0_7998,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7999,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(X_11,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8000,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8001,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7999,refute_0_8000]) ).
cnf(refute_0_8002,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),converse(complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7998,refute_0_8001]) ).
cnf(refute_0_8003,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8004,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8002,refute_0_8003]) ).
cnf(refute_0_8005,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,converse(complement(skolemFOFtoCNF_X0)))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_7997,refute_0_8004]) ).
cnf(refute_0_8006,plain,
composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),
introduced(tautology,[refl,[$fot(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))))]]) ).
cnf(refute_0_8007,plain,
( composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8008,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_8006,refute_0_8007]) ).
cnf(refute_0_8009,plain,
composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8005,refute_0_8008]) ).
cnf(refute_0_8010,plain,
( composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))))),bind(Y,$fot(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))))),bind(Z,$fot(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8011,plain,
( composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top)))))) )],[refute_0_7986,refute_0_8010]) ).
cnf(refute_0_8012,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) = composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(skolemFOFtoCNF_X0),top))))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8009,refute_0_8011]) ).
cnf(refute_0_8013,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))),composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[0],$fot(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8014,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))),composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8012,refute_0_8013]) ).
cnf(refute_0_8015,plain,
composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8016,plain,
( composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8017,plain,
( converse(converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_8015,refute_0_8016]) ).
cnf(refute_0_8018,plain,
composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7922,refute_0_8017]) ).
cnf(refute_0_8019,plain,
( composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))) != composition(X_18,composition(complement(skolemFOFtoCNF_X0),top))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(X_18,composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8020,plain,
( composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top)))),composition(X_18,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8018,refute_0_8019]) ).
cnf(refute_0_8021,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))) != composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))
| composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_8014,refute_0_8020]) ).
cnf(refute_0_8022,plain,
composition(X_18,converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(X_18,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(X_18)))),composition(X_18,converse(converse(composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_7989,refute_0_8021]) ).
cnf(refute_0_8023,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_8022:[bind(X_18,$fot(join(complement(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_8024,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8025,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8023,refute_0_8024]) ).
cnf(refute_0_8026,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7968,refute_0_8025]) ).
cnf(refute_0_8027,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8028,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8026,refute_0_8027]) ).
cnf(refute_0_8029,plain,
( X_155 != join(X_155,X_155)
| join(X_155,X_155) = X_155 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_155)),bind(Y,$fot(join(X_155,X_155)))]]) ).
cnf(refute_0_8030,plain,
join(X_155,X_155) = X_155,
inference(resolve,[$cnf( $equal(X_155,join(X_155,X_155)) )],[refute_0_1775,refute_0_8029]) ).
cnf(refute_0_8031,plain,
join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_8030:[bind(X_155,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8032,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8033,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8031,refute_0_8032]) ).
cnf(refute_0_8034,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))) != join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8028,refute_0_8033]) ).
cnf(refute_0_8035,plain,
composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),converse(composition(complement(skolemFOFtoCNF_X0),top))),join(converse(composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_7956,refute_0_8034]) ).
cnf(refute_0_8036,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8037,plain,
converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8035,refute_0_8036]) ).
cnf(refute_0_8038,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8039,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[0,1,1,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8040,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4782,refute_0_8039]) ).
cnf(refute_0_8041,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8038,refute_0_8040]) ).
cnf(refute_0_8042,plain,
composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top) = composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X2,$fot(top))]]) ).
cnf(refute_0_8043,plain,
converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_8044,plain,
( composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top) != composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) != converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))
| converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))) ),[1,0],$fot(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8045,plain,
( composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top) != composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_8043,refute_0_8044]) ).
cnf(refute_0_8046,plain,
converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top),composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) )],[refute_0_8042,refute_0_8045]) ).
cnf(refute_0_8047,plain,
composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8048,plain,
( composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))
| converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)))),bind(Z,$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_8049,plain,
( converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_8047,refute_0_8048]) ).
cnf(refute_0_8050,plain,
composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_8046,refute_0_8049]) ).
cnf(refute_0_8051,plain,
composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8052,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8053,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8051,refute_0_8052]) ).
cnf(refute_0_8054,plain,
composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7704,refute_0_8053]) ).
cnf(refute_0_8055,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8056,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8057,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8055,refute_0_8056]) ).
cnf(refute_0_8058,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_819,refute_0_8057]) ).
cnf(refute_0_8059,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8060,plain,
( composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8058,refute_0_8059]) ).
cnf(refute_0_8061,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8054,refute_0_8060]) ).
cnf(refute_0_8062,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_8063,plain,
( composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8061,refute_0_8062]) ).
cnf(refute_0_8064,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_8050,refute_0_8063]) ).
cnf(refute_0_8065,plain,
composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3661:[bind(X_146,$fot(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_161,$fot(converse(top)))]]) ).
cnf(refute_0_8066,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(converse(top))),bind(X_146,$fot(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8067,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8068,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8066,refute_0_8067]) ).
cnf(refute_0_8069,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8065,refute_0_8068]) ).
cnf(refute_0_8070,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_8071,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8069,refute_0_8070]) ).
cnf(refute_0_8072,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_8064,refute_0_8071]) ).
cnf(refute_0_8073,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_8074,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_8072,refute_0_8073]) ).
cnf(refute_0_8075,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8076,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7704,refute_0_8075]) ).
cnf(refute_0_8077,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8074,refute_0_8076]) ).
cnf(refute_0_8078,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8041,refute_0_8077]) ).
cnf(refute_0_8079,plain,
( converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8080,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_7805,refute_0_8079]) ).
cnf(refute_0_8081,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8078,refute_0_8080]) ).
cnf(refute_0_8082,plain,
converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8083,plain,
composition(composition(top,complement(skolemFOFtoCNF_X0)),top) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).
cnf(refute_0_8084,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8085,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),top) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) ),[1,0],$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8086,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),top) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8084,refute_0_8085]) ).
cnf(refute_0_8087,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),top),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8083,refute_0_8086]) ).
cnf(refute_0_8088,plain,
composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_2295:[bind(X_11,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8089,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8090,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8088,refute_0_8089]) ).
cnf(refute_0_8091,plain,
composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8087,refute_0_8090]) ).
cnf(refute_0_8092,plain,
converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),top),
inference(subst,[],[refute_0_1662:[bind(X_12,$fot(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))))]]) ).
cnf(refute_0_8093,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(X_45,$fot(X_389)),bind(X_46,$fot(complement(one)))]]) ).
cnf(refute_0_8094,plain,
composition(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(complement(one))),bind(X_145,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8095,plain,
composition(top,complement(skolemFOFtoCNF_X0)) = join(composition(top,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(one))),bind(X_270,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8096,plain,
complement(one) = join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8097,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,complement(skolemFOFtoCNF_X0)),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8098,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != top
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,complement(skolemFOFtoCNF_X0)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,complement(skolemFOFtoCNF_X0)),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8099,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,complement(skolemFOFtoCNF_X0)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2037,refute_0_8098]) ).
cnf(refute_0_8100,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,complement(skolemFOFtoCNF_X0)),X2)) )],[refute_0_8097,refute_0_8099]) ).
cnf(refute_0_8101,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(top,X2)
| join(top,X2) != top
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_8102,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(top,X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_0_7614,refute_0_8101]) ).
cnf(refute_0_8103,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(top,X2)) )],[refute_0_8100,refute_0_8102]) ).
cnf(refute_0_8104,plain,
join(one,join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_8103:[bind(X2,$fot(composition(X_154,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8105,plain,
composition(join(X_154,one),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(X_154)),bind(X_146,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8106,plain,
( composition(join(X_154,one),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0))) = composition(join(X_154,one),complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_154,one),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8107,plain,
join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0))) = composition(join(X_154,one),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(X_154,one),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8105,refute_0_8106]) ).
cnf(refute_0_8108,plain,
( join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0))) != composition(join(X_154,one),complement(skolemFOFtoCNF_X0))
| join(one,join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))) != top
| join(one,composition(join(X_154,one),complement(skolemFOFtoCNF_X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))),top) ),[0,1],$fot(composition(join(X_154,one),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8109,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))) != top
| join(one,composition(join(X_154,one),complement(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0))),composition(join(X_154,one),complement(skolemFOFtoCNF_X0))) )],[refute_0_8107,refute_0_8108]) ).
cnf(refute_0_8110,plain,
join(one,composition(join(X_154,one),complement(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),composition(X_154,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_8104,refute_0_8109]) ).
cnf(refute_0_8111,plain,
join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0))) = top,
inference(subst,[],[refute_0_8110:[bind(X_154,$fot(top))]]) ).
cnf(refute_0_8112,plain,
( join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0))) != top
| join(top,one) != top
| join(one,composition(top,complement(skolemFOFtoCNF_X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_8113,plain,
( join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0))) != top
| join(one,composition(top,complement(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_3817,refute_0_8112]) ).
cnf(refute_0_8114,plain,
join(one,composition(top,complement(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(join(one,composition(join(top,one),complement(skolemFOFtoCNF_X0))),top) )],[refute_0_8111,refute_0_8113]) ).
cnf(refute_0_8115,plain,
( complement(one) != join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| join(one,composition(top,complement(skolemFOFtoCNF_X0))) != top
| complement(one) = join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8116,plain,
( complement(one) != join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| complement(one) = join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,complement(skolemFOFtoCNF_X0))),top) )],[refute_0_8114,refute_0_8115]) ).
cnf(refute_0_8117,plain,
complement(one) = join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8096,refute_0_8116]) ).
cnf(refute_0_8118,plain,
join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8119,plain,
join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8120,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8121,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8119,refute_0_8120]) ).
cnf(refute_0_8122,plain,
join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8121]) ).
cnf(refute_0_8123,plain,
( join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) != join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8124,plain,
( join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8122,refute_0_8123]) ).
cnf(refute_0_8125,plain,
join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8118,refute_0_8124]) ).
cnf(refute_0_8126,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8127,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8125,refute_0_8126]) ).
cnf(refute_0_8128,plain,
complement(one) = meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8117,refute_0_8127]) ).
cnf(refute_0_8129,plain,
( complement(one) != meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))
| meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8130,plain,
meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8128,refute_0_8129]) ).
cnf(refute_0_8131,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != join(composition(top,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) != complement(one)
| composition(top,complement(skolemFOFtoCNF_X0)) = join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),join(composition(top,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_8132,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != join(composition(top,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,complement(skolemFOFtoCNF_X0)) = join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_8130,refute_0_8131]) ).
cnf(refute_0_8133,plain,
composition(top,complement(skolemFOFtoCNF_X0)) = join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),join(composition(top,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8095,refute_0_8132]) ).
cnf(refute_0_8134,plain,
join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)) = join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(composition(top,complement(skolemFOFtoCNF_X0)))),bind(X_20,$fot(complement(one)))]]) ).
cnf(refute_0_8135,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one))
| join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)) != join(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,complement(skolemFOFtoCNF_X0)) = join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(skolemFOFtoCNF_X0)),join(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)))]]) ).
cnf(refute_0_8136,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one))
| composition(top,complement(skolemFOFtoCNF_X0)) = join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one)),join(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8134,refute_0_8135]) ).
cnf(refute_0_8137,plain,
composition(top,complement(skolemFOFtoCNF_X0)) = join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),join(composition(top,complement(skolemFOFtoCNF_X0)),complement(one))) )],[refute_0_8133,refute_0_8136]) ).
cnf(refute_0_8138,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != join(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8139,plain,
join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),join(complement(one),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8137,refute_0_8138]) ).
cnf(refute_0_8140,plain,
( composition(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) ),[0,0],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8141,plain,
( composition(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8139,refute_0_8140]) ).
cnf(refute_0_8142,plain,
composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),composition(top,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8094,refute_0_8141]) ).
cnf(refute_0_8143,plain,
composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(subst,[],[refute_0_1676:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8144,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != zero
| zero = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_8145,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| zero = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_8143,refute_0_8144]) ).
cnf(refute_0_8146,plain,
composition(top,composition(top,complement(skolemFOFtoCNF_X0))) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_803:[bind(X2,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8147,plain,
converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8148,plain,
( composition(top,composition(top,complement(skolemFOFtoCNF_X0))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8149,plain,
( composition(top,composition(top,complement(skolemFOFtoCNF_X0))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8147,refute_0_8148]) ).
cnf(refute_0_8150,plain,
converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(skolemFOFtoCNF_X0))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8146,refute_0_8149]) ).
cnf(refute_0_8151,plain,
complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8152,plain,
( complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8153,plain,
( converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8151,refute_0_8152]) ).
cnf(refute_0_8154,plain,
complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8150,refute_0_8153]) ).
cnf(refute_0_8155,plain,
composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8156,plain,
( complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8157,plain,
( complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8155,refute_0_8156]) ).
cnf(refute_0_8158,plain,
composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8154,refute_0_8157]) ).
cnf(refute_0_8159,plain,
( composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| zero != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| zero = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8160,plain,
( zero != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| zero = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8158,refute_0_8159]) ).
cnf(refute_0_8161,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))
| zero = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(zero,composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8145,refute_0_8160]) ).
cnf(refute_0_8162,plain,
zero = composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8142,refute_0_8161]) ).
cnf(refute_0_8163,plain,
( zero != composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8164,plain,
composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8162,refute_0_8163]) ).
cnf(refute_0_8165,plain,
( composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0,1,1,0,1],$fot(zero)]]) ).
cnf(refute_0_8166,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8164,refute_0_8165]) ).
cnf(refute_0_8167,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,composition(complement(one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8093,refute_0_8166]) ).
cnf(refute_0_8168,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) = converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(top,composition(X_389,complement(one)))))]]) ).
cnf(refute_0_8169,plain,
composition(composition(top,X_389),complement(one)) = composition(top,composition(X_389,complement(one))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(X_389)),bind(X2,$fot(complement(one)))]]) ).
cnf(refute_0_8170,plain,
converse(composition(composition(top,X_389),complement(one))) = converse(composition(composition(top,X_389),complement(one))),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,X_389),complement(one))))]]) ).
cnf(refute_0_8171,plain,
( composition(composition(top,X_389),complement(one)) != composition(top,composition(X_389,complement(one)))
| converse(composition(composition(top,X_389),complement(one))) != converse(composition(composition(top,X_389),complement(one)))
| converse(composition(composition(top,X_389),complement(one))) = converse(composition(top,composition(X_389,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,X_389),complement(one))),converse(composition(composition(top,X_389),complement(one)))) ),[1,0],$fot(composition(top,composition(X_389,complement(one))))]]) ).
cnf(refute_0_8172,plain,
( composition(composition(top,X_389),complement(one)) != composition(top,composition(X_389,complement(one)))
| converse(composition(composition(top,X_389),complement(one))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_389),complement(one))),converse(composition(composition(top,X_389),complement(one)))) )],[refute_0_8170,refute_0_8171]) ).
cnf(refute_0_8173,plain,
converse(composition(composition(top,X_389),complement(one))) = converse(composition(top,composition(X_389,complement(one)))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_389),complement(one)),composition(top,composition(X_389,complement(one)))) )],[refute_0_8169,refute_0_8172]) ).
cnf(refute_0_8174,plain,
( converse(composition(X_11,complement(one))) != composition(complement(one),converse(X_11))
| composition(complement(one),converse(X_11)) = converse(composition(X_11,complement(one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_11,complement(one))))),bind(Y,$fot(composition(complement(one),converse(X_11))))]]) ).
cnf(refute_0_8175,plain,
composition(complement(one),converse(X_11)) = converse(composition(X_11,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,complement(one))),composition(complement(one),converse(X_11))) )],[refute_0_1581,refute_0_8174]) ).
cnf(refute_0_8176,plain,
composition(complement(one),converse(composition(top,X_389))) = converse(composition(composition(top,X_389),complement(one))),
inference(subst,[],[refute_0_8175:[bind(X_11,$fot(composition(top,X_389)))]]) ).
cnf(refute_0_8177,plain,
( composition(complement(one),converse(composition(top,X_389))) != converse(composition(composition(top,X_389),complement(one)))
| converse(composition(composition(top,X_389),complement(one))) != converse(composition(top,composition(X_389,complement(one))))
| composition(complement(one),converse(composition(top,X_389))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(one),converse(composition(top,X_389))))),bind(Y,$fot(converse(composition(composition(top,X_389),complement(one))))),bind(Z,$fot(converse(composition(top,composition(X_389,complement(one))))))]]) ).
cnf(refute_0_8178,plain,
( converse(composition(composition(top,X_389),complement(one))) != converse(composition(top,composition(X_389,complement(one))))
| composition(complement(one),converse(composition(top,X_389))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(composition(top,X_389))),converse(composition(composition(top,X_389),complement(one)))) )],[refute_0_8176,refute_0_8177]) ).
cnf(refute_0_8179,plain,
composition(complement(one),converse(composition(top,X_389))) = converse(composition(top,composition(X_389,complement(one)))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_389),complement(one))),converse(composition(top,composition(X_389,complement(one))))) )],[refute_0_8173,refute_0_8178]) ).
cnf(refute_0_8180,plain,
composition(converse(X_389),complement(composition(X_389,zero))) = composition(converse(X_389),complement(composition(X_389,zero))),
introduced(tautology,[refl,[$fot(composition(converse(X_389),complement(composition(X_389,zero))))]]) ).
cnf(refute_0_8181,plain,
( complement(composition(X_389,zero)) != top
| composition(converse(X_389),complement(composition(X_389,zero))) != composition(converse(X_389),complement(composition(X_389,zero)))
| composition(converse(X_389),complement(composition(X_389,zero))) = composition(converse(X_389),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_389),complement(composition(X_389,zero))),composition(converse(X_389),complement(composition(X_389,zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8182,plain,
( complement(composition(X_389,zero)) != top
| composition(converse(X_389),complement(composition(X_389,zero))) = composition(converse(X_389),top) ),
inference(resolve,[$cnf( $equal(composition(converse(X_389),complement(composition(X_389,zero))),composition(converse(X_389),complement(composition(X_389,zero)))) )],[refute_0_8180,refute_0_8181]) ).
cnf(refute_0_8183,plain,
composition(converse(X_389),complement(composition(X_389,zero))) = composition(converse(X_389),top),
inference(resolve,[$cnf( $equal(complement(composition(X_389,zero)),top) )],[refute_0_1896,refute_0_8182]) ).
cnf(refute_0_8184,plain,
( composition(converse(X_389),complement(composition(X_389,zero))) != composition(converse(X_389),top)
| composition(converse(X_389),top) != converse(composition(top,X_389))
| composition(converse(X_389),complement(composition(X_389,zero))) = converse(composition(top,X_389)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(X_389),complement(composition(X_389,zero))))),bind(Y,$fot(composition(converse(X_389),top))),bind(Z,$fot(converse(composition(top,X_389))))]]) ).
cnf(refute_0_8185,plain,
( composition(converse(X_389),top) != converse(composition(top,X_389))
| composition(converse(X_389),complement(composition(X_389,zero))) = converse(composition(top,X_389)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_389),complement(composition(X_389,zero))),composition(converse(X_389),top)) )],[refute_0_8183,refute_0_8184]) ).
cnf(refute_0_8186,plain,
composition(converse(X_389),complement(composition(X_389,zero))) = converse(composition(top,X_389)),
inference(resolve,[$cnf( $equal(composition(converse(X_389),top),converse(composition(top,X_389))) )],[refute_0_1861,refute_0_8185]) ).
cnf(refute_0_8187,plain,
composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))),
introduced(tautology,[refl,[$fot(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))))]]) ).
cnf(refute_0_8188,plain,
( composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) != composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero))))
| composition(converse(X_389),complement(composition(X_389,zero))) != converse(composition(top,X_389))
| composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = composition(complement(one),converse(composition(top,X_389))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))),composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero))))) ),[1,1],$fot(converse(composition(top,X_389)))]]) ).
cnf(refute_0_8189,plain,
( composition(converse(X_389),complement(composition(X_389,zero))) != converse(composition(top,X_389))
| composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = composition(complement(one),converse(composition(top,X_389))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))),composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero))))) )],[refute_0_8187,refute_0_8188]) ).
cnf(refute_0_8190,plain,
composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = composition(complement(one),converse(composition(top,X_389))),
inference(resolve,[$cnf( $equal(composition(converse(X_389),complement(composition(X_389,zero))),converse(composition(top,X_389))) )],[refute_0_8186,refute_0_8189]) ).
cnf(refute_0_8191,plain,
( composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) != composition(complement(one),converse(composition(top,X_389)))
| composition(complement(one),converse(composition(top,X_389))) != converse(composition(top,composition(X_389,complement(one))))
| composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))))),bind(Y,$fot(composition(complement(one),converse(composition(top,X_389))))),bind(Z,$fot(converse(composition(top,composition(X_389,complement(one))))))]]) ).
cnf(refute_0_8192,plain,
( composition(complement(one),converse(composition(top,X_389))) != converse(composition(top,composition(X_389,complement(one))))
| composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))),composition(complement(one),converse(composition(top,X_389)))) )],[refute_0_8190,refute_0_8191]) ).
cnf(refute_0_8193,plain,
composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) = converse(composition(top,composition(X_389,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(composition(top,X_389))),converse(composition(top,composition(X_389,complement(one))))) )],[refute_0_8179,refute_0_8192]) ).
cnf(refute_0_8194,plain,
composition(complement(one),composition(converse(X_221),X2)) = composition(composition(complement(one),converse(X_221)),X2),
inference(subst,[],[refute_0_711:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(X_221)))]]) ).
cnf(refute_0_8195,plain,
converse(composition(X_221,complement(one))) = composition(complement(one),converse(X_221)),
inference(subst,[],[refute_0_1581:[bind(X_11,$fot(X_221))]]) ).
cnf(refute_0_8196,plain,
( converse(composition(X_221,complement(one))) != composition(complement(one),converse(X_221))
| composition(complement(one),converse(X_221)) = converse(composition(X_221,complement(one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_221,complement(one))))),bind(Y,$fot(composition(complement(one),converse(X_221))))]]) ).
cnf(refute_0_8197,plain,
composition(complement(one),converse(X_221)) = converse(composition(X_221,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(X_221,complement(one))),composition(complement(one),converse(X_221))) )],[refute_0_8195,refute_0_8196]) ).
cnf(refute_0_8198,plain,
( composition(complement(one),composition(converse(X_221),X2)) != composition(composition(complement(one),converse(X_221)),X2)
| composition(complement(one),converse(X_221)) != converse(composition(X_221,complement(one)))
| composition(complement(one),composition(converse(X_221),X2)) = composition(converse(composition(X_221,complement(one))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(converse(X_221),X2)),composition(composition(complement(one),converse(X_221)),X2)) ),[1,0],$fot(converse(composition(X_221,complement(one))))]]) ).
cnf(refute_0_8199,plain,
( composition(complement(one),composition(converse(X_221),X2)) != composition(composition(complement(one),converse(X_221)),X2)
| composition(complement(one),composition(converse(X_221),X2)) = composition(converse(composition(X_221,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(composition(complement(one),converse(X_221)),converse(composition(X_221,complement(one)))) )],[refute_0_8197,refute_0_8198]) ).
cnf(refute_0_8200,plain,
composition(complement(one),composition(converse(X_221),X2)) = composition(converse(composition(X_221,complement(one))),X2),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_221),X2)),composition(composition(complement(one),converse(X_221)),X2)) )],[refute_0_8194,refute_0_8199]) ).
cnf(refute_0_8201,plain,
( composition(complement(one),composition(converse(X_221),X2)) != composition(converse(composition(X_221,complement(one))),X2)
| composition(converse(composition(X_221,complement(one))),X2) = composition(complement(one),composition(converse(X_221),X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(one),composition(converse(X_221),X2)))),bind(Y,$fot(composition(converse(composition(X_221,complement(one))),X2)))]]) ).
cnf(refute_0_8202,plain,
composition(converse(composition(X_221,complement(one))),X2) = composition(complement(one),composition(converse(X_221),X2)),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_221),X2)),composition(converse(composition(X_221,complement(one))),X2)) )],[refute_0_8200,refute_0_8201]) ).
cnf(refute_0_8203,plain,
composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) = composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))),
inference(subst,[],[refute_0_8202:[bind(X2,$fot(complement(composition(X_389,zero)))),bind(X_221,$fot(X_389))]]) ).
cnf(refute_0_8204,plain,
( composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) != converse(composition(top,composition(X_389,complement(one))))
| composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) != composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero))))
| composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))),bind(Y,$fot(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))))),bind(Z,$fot(converse(composition(top,composition(X_389,complement(one))))))]]) ).
cnf(refute_0_8205,plain,
( composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))) != converse(composition(top,composition(X_389,complement(one))))
| composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) = converse(composition(top,composition(X_389,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))),composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero))))) )],[refute_0_8203,refute_0_8204]) ).
cnf(refute_0_8206,plain,
composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) = converse(composition(top,composition(X_389,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(converse(X_389),complement(composition(X_389,zero)))),converse(composition(top,composition(X_389,complement(one))))) )],[refute_0_8193,refute_0_8205]) ).
cnf(refute_0_8207,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))))]]) ).
cnf(refute_0_8208,plain,
( composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) != converse(composition(top,composition(X_389,complement(one))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))) ),[1,1],$fot(converse(composition(top,composition(X_389,complement(one)))))]]) ).
cnf(refute_0_8209,plain,
( composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))) != converse(composition(top,composition(X_389,complement(one))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))) )],[refute_0_8207,refute_0_8208]) ).
cnf(refute_0_8210,plain,
join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))),converse(composition(top,composition(X_389,complement(one))))) )],[refute_0_8206,refute_0_8209]) ).
cnf(refute_0_8211,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))))]]) ).
cnf(refute_0_8212,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8213,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))) )],[refute_0_8211,refute_0_8212]) ).
cnf(refute_0_8214,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7556,refute_0_8213]) ).
cnf(refute_0_8215,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))))),bind(Y,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))))),bind(Z,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one)))))))]]) ).
cnf(refute_0_8216,plain,
( join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero))))) )],[refute_0_8214,refute_0_8215]) ).
cnf(refute_0_8217,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one)))))) )],[refute_0_8210,refute_0_8216]) ).
cnf(refute_0_8218,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one)))))
| join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) != converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))))),bind(Y,$fot(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))))),bind(Z,$fot(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one)))))))]]) ).
cnf(refute_0_8219,plain,
( join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))) != converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one)))))) )],[refute_0_8217,refute_0_8218]) ).
cnf(refute_0_8220,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) = converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(X_389,complement(one))))),converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one)))))) )],[refute_0_8168,refute_0_8219]) ).
cnf(refute_0_8221,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one)))))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))))]]) ).
cnf(refute_0_8222,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one)))))) )],[refute_0_8220,refute_0_8221]) ).
cnf(refute_0_8223,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8224,plain,
( converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7556,refute_0_8223]) ).
cnf(refute_0_8225,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8222,refute_0_8224]) ).
cnf(refute_0_8226,plain,
converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_389,complement(one))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(composition(X_389,complement(one))),complement(composition(X_389,zero)))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8167,refute_0_8225]) ).
cnf(refute_0_8227,plain,
converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_8226:[bind(X_389,$fot(X_423))]]) ).
cnf(refute_0_8228,plain,
( converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),top)
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),top)) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8229,plain,
( converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),top)
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8227,refute_0_8228]) ).
cnf(refute_0_8230,plain,
converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),top)) )],[refute_0_8092,refute_0_8229]) ).
cnf(refute_0_8231,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)))]]) ).
cnf(refute_0_8232,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top))
| composition(top,top) != top
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8233,plain,
( composition(top,top) != top
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top))) )],[refute_0_8231,refute_0_8232]) ).
cnf(refute_0_8234,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_800,refute_0_8233]) ).
cnf(refute_0_8235,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)))]]) ).
cnf(refute_0_8236,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)),composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8237,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)),composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top))) )],[refute_0_8235,refute_0_8236]) ).
cnf(refute_0_8238,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_8237]) ).
cnf(refute_0_8239,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)))),bind(Y,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8240,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)),composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top))) )],[refute_0_8238,refute_0_8239]) ).
cnf(refute_0_8241,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) = composition(complement(converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(top,top)),composition(complement(converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_8234,refute_0_8240]) ).
cnf(refute_0_8242,plain,
composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(top)),bind(X_414,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8243,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top))
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8244,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top))) )],[refute_0_8242,refute_0_8243]) ).
cnf(refute_0_8245,plain,
composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) = composition(complement(converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,top)),composition(complement(converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_8241,refute_0_8244]) ).
cnf(refute_0_8246,plain,
( composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top)
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top)) ),[1],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_8247,plain,
( converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top)
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top),composition(complement(converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_8245,refute_0_8246]) ).
cnf(refute_0_8248,plain,
converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_8230,refute_0_8247]) ).
cnf(refute_0_8249,plain,
converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(X0)),
inference(subst,[],[refute_0_57:[bind(X1,$fot(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))))]]) ).
cnf(refute_0_8250,plain,
( converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(X0))
| converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(X0))) ),[1,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8251,plain,
( converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(X0))
| converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8227,refute_0_8250]) ).
cnf(refute_0_8252,plain,
converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one))))),converse(X0))) )],[refute_0_8249,refute_0_8251]) ).
cnf(refute_0_8253,plain,
composition(converse(top),complement(skolemFOFtoCNF_X0)) = composition(converse(top),complement(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(converse(top),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8254,plain,
( composition(converse(top),complement(skolemFOFtoCNF_X0)) != composition(converse(top),complement(skolemFOFtoCNF_X0))
| converse(top) != top
| composition(converse(top),complement(skolemFOFtoCNF_X0)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(skolemFOFtoCNF_X0)),composition(converse(top),complement(skolemFOFtoCNF_X0))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8255,plain,
( converse(top) != top
| composition(converse(top),complement(skolemFOFtoCNF_X0)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(skolemFOFtoCNF_X0)),composition(converse(top),complement(skolemFOFtoCNF_X0))) )],[refute_0_8253,refute_0_8254]) ).
cnf(refute_0_8256,plain,
composition(converse(top),complement(skolemFOFtoCNF_X0)) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_8255]) ).
cnf(refute_0_8257,plain,
composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) = composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8258,plain,
( composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) != composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))
| composition(converse(top),complement(skolemFOFtoCNF_X0)) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) = composition(X0,composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))),composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8259,plain,
( composition(converse(top),complement(skolemFOFtoCNF_X0)) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) = composition(X0,composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))),composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) )],[refute_0_8257,refute_0_8258]) ).
cnf(refute_0_8260,plain,
composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) = composition(X0,composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(converse(top),complement(skolemFOFtoCNF_X0)),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8256,refute_0_8259]) ).
cnf(refute_0_8261,plain,
converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) = converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8262,plain,
( composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) != composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) != converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))
| converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))),converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8263,plain,
( composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))) != composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))),converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))) )],[refute_0_8261,refute_0_8262]) ).
cnf(refute_0_8264,plain,
converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))),composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8260,refute_0_8263]) ).
cnf(refute_0_8265,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0))) = converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2366:[bind(X_13,$fot(top)),bind(X_14,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8266,plain,
composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0))),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(converse(X0))),bind(X_414,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8267,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0))) != converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0)))
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0))))),bind(Z,$fot(converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8268,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0))) != converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)),composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0)))) )],[refute_0_8266,refute_0_8267]) ).
cnf(refute_0_8269,plain,
composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(top,converse(X0))),converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))) )],[refute_0_8265,refute_0_8268]) ).
cnf(refute_0_8270,plain,
( composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) != converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))
| converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) != converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)))),bind(Y,$fot(converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8271,plain,
( converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))) != converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))
| composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)),converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0))))) )],[refute_0_8269,refute_0_8270]) ).
cnf(refute_0_8272,plain,
composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(X0,composition(converse(top),complement(skolemFOFtoCNF_X0)))),converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8264,refute_0_8271]) ).
cnf(refute_0_8273,plain,
( composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)) != converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0))
| converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0))) ),[1],$fot(converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8274,plain,
( converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0))
| converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0)),converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8272,refute_0_8273]) ).
cnf(refute_0_8275,plain,
converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(X0,composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(X0))) )],[refute_0_8252,refute_0_8274]) ).
cnf(refute_0_8276,plain,
converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_8275:[bind(X0,$fot(top))]]) ).
cnf(refute_0_8277,plain,
( converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))))),bind(Y,$fot(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8278,plain,
( converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8276,refute_0_8277]) ).
cnf(refute_0_8279,plain,
converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8150,refute_0_8278]) ).
cnf(refute_0_8280,plain,
( converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(complement(converse(skolemFOFtoCNF_X0)),top)) ),[0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8281,plain,
( converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8279,refute_0_8280]) ).
cnf(refute_0_8282,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(composition(top,complement(skolemFOFtoCNF_X0)),composition(top,composition(X_423,complement(one)))))),composition(complement(converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_8248,refute_0_8281]) ).
cnf(refute_0_8283,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| composition(complement(converse(skolemFOFtoCNF_X0)),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8284,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_8282,refute_0_8283]) ).
cnf(refute_0_8285,plain,
composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8286,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),top) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),[1,1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8287,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),top) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) )],[refute_0_8285,refute_0_8286]) ).
cnf(refute_0_8288,plain,
composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),top),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8284,refute_0_8287]) ).
cnf(refute_0_8289,plain,
( composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8290,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8288,refute_0_8289]) ).
cnf(refute_0_8291,plain,
composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8091,refute_0_8290]) ).
cnf(refute_0_8292,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_8293,plain,
( composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) ),[1,0],$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8294,plain,
( composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_8292,refute_0_8293]) ).
cnf(refute_0_8295,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8291,refute_0_8294]) ).
cnf(refute_0_8296,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))
| converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Z,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8297,plain,
( converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_8295,refute_0_8296]) ).
cnf(refute_0_8298,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8082,refute_0_8297]) ).
cnf(refute_0_8299,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),composition(complement(skolemFOFtoCNF_X0),top)) ),[0],$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8300,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8298,refute_0_8299]) ).
cnf(refute_0_8301,plain,
composition(top,composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8081,refute_0_8300]) ).
cnf(refute_0_8302,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),top) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| composition(top,composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(top,complement(skolemFOFtoCNF_X0)),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8303,plain,
( composition(top,composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(composition(top,complement(skolemFOFtoCNF_X0)),top) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),top),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8083,refute_0_8302]) ).
cnf(refute_0_8304,plain,
composition(composition(top,complement(skolemFOFtoCNF_X0)),top) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8301,refute_0_8303]) ).
cnf(refute_0_8305,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8306,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),top) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8084,refute_0_8305]) ).
cnf(refute_0_8307,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),top),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8304,refute_0_8306]) ).
cnf(refute_0_8308,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8309,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8307,refute_0_8308]) ).
cnf(refute_0_8310,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8037,refute_0_8309]) ).
cnf(refute_0_8311,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8312,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8088,refute_0_8311]) ).
cnf(refute_0_8313,plain,
composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8310,refute_0_8312]) ).
cnf(refute_0_8314,plain,
converse(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))) = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))))]]) ).
cnf(refute_0_8315,plain,
top = converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))),
inference(subst,[],[refute_0_4201:[bind(X_212,$fot(X_214))]]) ).
cnf(refute_0_8316,plain,
( top != converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))
| converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))))]]) ).
cnf(refute_0_8317,plain,
converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))) )],[refute_0_8315,refute_0_8316]) ).
cnf(refute_0_8318,plain,
( converse(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))) != join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))
| converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) != top
| converse(top) = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))),join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_8319,plain,
( converse(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))) != join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))
| converse(top) = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))),top) )],[refute_0_8317,refute_0_8318]) ).
cnf(refute_0_8320,plain,
converse(top) = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))))),join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) )],[refute_0_8314,refute_0_8319]) ).
cnf(refute_0_8321,plain,
( converse(top) != join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))
| converse(top) != top
| top = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) ),[0],$fot(top)]]) ).
cnf(refute_0_8322,plain,
( converse(top) != join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))
| top = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_8321]) ).
cnf(refute_0_8323,plain,
top = join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214)))),
inference(resolve,[$cnf( $equal(converse(top),join(one,join(X_214,complement(join(converse(skolemFOFtoCNF_X0),X_214))))) )],[refute_0_8320,refute_0_8322]) ).
cnf(refute_0_8324,plain,
top = join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_8323:[bind(X_214,$fot(complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8325,plain,
top = join(complement(join(zero,complement(X1))),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),
inference(subst,[],[refute_0_172:[bind(X_27,$fot(join(zero,complement(X1)))),bind(X_28,$fot(X_35))]]) ).
cnf(refute_0_8326,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| top != join(complement(join(zero,complement(X1))),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| top = join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(zero,complement(X1))),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) ),[1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_8327,plain,
( top != join(complement(join(zero,complement(X1))),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| top = join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_1198,refute_0_8326]) ).
cnf(refute_0_8328,plain,
top = join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),
inference(resolve,[$cnf( $equal(top,join(complement(join(zero,complement(X1))),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) )],[refute_0_8325,refute_0_8327]) ).
cnf(refute_0_8329,plain,
meet(join(zero,complement(X1)),X_35) = meet(join(zero,complement(X1)),X_35),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_35))]]) ).
cnf(refute_0_8330,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_35) != meet(join(zero,complement(X1)),X_35)
| meet(join(zero,complement(X1)),X_35) = meet(complement(X1),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_35),meet(join(zero,complement(X1)),X_35)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_8331,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_35) = meet(complement(X1),X_35) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_35),meet(join(zero,complement(X1)),X_35)) )],[refute_0_8329,refute_0_8330]) ).
cnf(refute_0_8332,plain,
meet(join(zero,complement(X1)),X_35) = meet(complement(X1),X_35),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_282,refute_0_8331]) ).
cnf(refute_0_8333,plain,
join(complement(X_35),meet(join(zero,complement(X1)),X_35)) = join(complement(X_35),meet(join(zero,complement(X1)),X_35)),
introduced(tautology,[refl,[$fot(join(complement(X_35),meet(join(zero,complement(X1)),X_35)))]]) ).
cnf(refute_0_8334,plain,
( join(complement(X_35),meet(join(zero,complement(X1)),X_35)) != join(complement(X_35),meet(join(zero,complement(X1)),X_35))
| meet(join(zero,complement(X1)),X_35) != meet(complement(X1),X_35)
| join(complement(X_35),meet(join(zero,complement(X1)),X_35)) = join(complement(X_35),meet(complement(X1),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_35),meet(join(zero,complement(X1)),X_35)),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) ),[1,1],$fot(meet(complement(X1),X_35))]]) ).
cnf(refute_0_8335,plain,
( meet(join(zero,complement(X1)),X_35) != meet(complement(X1),X_35)
| join(complement(X_35),meet(join(zero,complement(X1)),X_35)) = join(complement(X_35),meet(complement(X1),X_35)) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),meet(join(zero,complement(X1)),X_35)),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) )],[refute_0_8333,refute_0_8334]) ).
cnf(refute_0_8336,plain,
join(complement(X_35),meet(join(zero,complement(X1)),X_35)) = join(complement(X_35),meet(complement(X1),X_35)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_35),meet(complement(X1),X_35)) )],[refute_0_8332,refute_0_8335]) ).
cnf(refute_0_8337,plain,
join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))),
introduced(tautology,[refl,[$fot(join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))))]]) ).
cnf(refute_0_8338,plain,
( join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) != join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| join(complement(X_35),meet(join(zero,complement(X1)),X_35)) != join(complement(X_35),meet(complement(X1),X_35))
| join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) ),[1,1],$fot(join(complement(X_35),meet(complement(X1),X_35)))]]) ).
cnf(refute_0_8339,plain,
( join(complement(X_35),meet(join(zero,complement(X1)),X_35)) != join(complement(X_35),meet(complement(X1),X_35))
| join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) )],[refute_0_8337,refute_0_8338]) ).
cnf(refute_0_8340,plain,
join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))),
inference(resolve,[$cnf( $equal(join(complement(X_35),meet(join(zero,complement(X1)),X_35)),join(complement(X_35),meet(complement(X1),X_35))) )],[refute_0_8336,refute_0_8339]) ).
cnf(refute_0_8341,plain,
join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),
introduced(tautology,[refl,[$fot(join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))))]]) ).
cnf(refute_0_8342,plain,
( join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) != join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| meet(top,X1) != X1
| join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_8343,plain,
( meet(top,X1) != X1
| join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) )],[refute_0_8341,refute_0_8342]) ).
cnf(refute_0_8344,plain,
join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_279,refute_0_8343]) ).
cnf(refute_0_8345,plain,
( join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) != join(X1,join(complement(X_35),meet(complement(X1),X_35)))
| join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) != join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))))),bind(Y,$fot(join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))))),bind(Z,$fot(join(X1,join(complement(X_35),meet(complement(X1),X_35)))))]]) ).
cnf(refute_0_8346,plain,
( join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))) != join(X1,join(complement(X_35),meet(complement(X1),X_35)))
| join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) )],[refute_0_8344,refute_0_8345]) ).
cnf(refute_0_8347,plain,
join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(X1,join(complement(X_35),meet(complement(X1),X_35)))) )],[refute_0_8340,refute_0_8346]) ).
cnf(refute_0_8348,plain,
( join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))) != join(X1,join(complement(X_35),meet(complement(X1),X_35)))
| top != join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| top = join(X1,join(complement(X_35),meet(complement(X1),X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) ),[1],$fot(join(X1,join(complement(X_35),meet(complement(X1),X_35))))]]) ).
cnf(refute_0_8349,plain,
( top != join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))
| top = join(X1,join(complement(X_35),meet(complement(X1),X_35))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35))),join(X1,join(complement(X_35),meet(complement(X1),X_35)))) )],[refute_0_8347,refute_0_8348]) ).
cnf(refute_0_8350,plain,
top = join(X1,join(complement(X_35),meet(complement(X1),X_35))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X1),join(complement(X_35),meet(join(zero,complement(X1)),X_35)))) )],[refute_0_8328,refute_0_8349]) ).
cnf(refute_0_8351,plain,
join(complement(X_28),meet(complement(X_271),X_28)) = join(join(complement(X_28),meet(complement(X_271),X_28)),meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))),
inference(subst,[],[refute_0_2019:[bind(X_108,$fot(join(complement(X_28),meet(complement(X_271),X_28)))),bind(X_109,$fot(X_271))]]) ).
cnf(refute_0_8352,plain,
complement(X_271) = meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))),
inference(subst,[],[refute_0_2519:[bind(X_95,$fot(complement(X_271)))]]) ).
cnf(refute_0_8353,plain,
( complement(X_271) != meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))
| meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) = complement(X_271) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_271))),bind(Y,$fot(meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))))]]) ).
cnf(refute_0_8354,plain,
meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) = complement(X_271),
inference(resolve,[$cnf( $equal(complement(X_271),meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))) )],[refute_0_8352,refute_0_8353]) ).
cnf(refute_0_8355,plain,
( join(complement(X_28),meet(complement(X_271),X_28)) != join(join(complement(X_28),meet(complement(X_271),X_28)),meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))))
| meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) != complement(X_271)
| join(complement(X_28),meet(complement(X_271),X_28)) = join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_28),meet(complement(X_271),X_28)),join(join(complement(X_28),meet(complement(X_271),X_28)),meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))))) ),[1,1],$fot(complement(X_271))]]) ).
cnf(refute_0_8356,plain,
( join(complement(X_28),meet(complement(X_271),X_28)) != join(join(complement(X_28),meet(complement(X_271),X_28)),meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))))
| join(complement(X_28),meet(complement(X_271),X_28)) = join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))),complement(X_271)) )],[refute_0_8354,refute_0_8355]) ).
cnf(refute_0_8357,plain,
join(complement(X_28),meet(complement(X_271),X_28)) = join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)),
inference(resolve,[$cnf( $equal(join(complement(X_28),meet(complement(X_271),X_28)),join(join(complement(X_28),meet(complement(X_271),X_28)),meet(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))))) )],[refute_0_8351,refute_0_8356]) ).
cnf(refute_0_8358,plain,
join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)) = join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(complement(X_28),meet(complement(X_271),X_28)))),bind(X_20,$fot(complement(X_271)))]]) ).
cnf(refute_0_8359,plain,
( join(complement(X_28),meet(complement(X_271),X_28)) != join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271))
| join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)) != join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))
| join(complement(X_28),meet(complement(X_271),X_28)) = join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_28),meet(complement(X_271),X_28)),join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))) ),[0],$fot(join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)))]]) ).
cnf(refute_0_8360,plain,
( join(complement(X_28),meet(complement(X_271),X_28)) != join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271))
| join(complement(X_28),meet(complement(X_271),X_28)) = join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271)),join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))) )],[refute_0_8358,refute_0_8359]) ).
cnf(refute_0_8361,plain,
join(complement(X_28),meet(complement(X_271),X_28)) = join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))),
inference(resolve,[$cnf( $equal(join(complement(X_28),meet(complement(X_271),X_28)),join(join(complement(X_28),meet(complement(X_271),X_28)),complement(X_271))) )],[refute_0_8357,refute_0_8360]) ).
cnf(refute_0_8362,plain,
join(complement(X_28),complement(X_271)) = complement(meet(X_28,X_271)),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(X_28)),bind(X1,$fot(X_271))]]) ).
cnf(refute_0_8363,plain,
join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) = join(complement(X_28),complement(X_271)),
inference(subst,[],[refute_0_2560:[bind(X_276,$fot(X_28)),bind(X_55,$fot(complement(X_271))),bind(X_56,$fot(complement(X_28)))]]) ).
cnf(refute_0_8364,plain,
( join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) != join(complement(X_28),complement(X_271))
| join(complement(X_28),complement(X_271)) != complement(meet(X_28,X_271))
| join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) = complement(meet(X_28,X_271)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))))),bind(Y,$fot(join(complement(X_28),complement(X_271)))),bind(Z,$fot(complement(meet(X_28,X_271))))]]) ).
cnf(refute_0_8365,plain,
( join(complement(X_28),complement(X_271)) != complement(meet(X_28,X_271))
| join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) = complement(meet(X_28,X_271)) ),
inference(resolve,[$cnf( $equal(join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))),join(complement(X_28),complement(X_271))) )],[refute_0_8363,refute_0_8364]) ).
cnf(refute_0_8366,plain,
join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) = complement(meet(X_28,X_271)),
inference(resolve,[$cnf( $equal(join(complement(X_28),complement(X_271)),complement(meet(X_28,X_271))) )],[refute_0_8362,refute_0_8365]) ).
cnf(refute_0_8367,plain,
( join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))) != complement(meet(X_28,X_271))
| join(complement(X_28),meet(complement(X_271),X_28)) != join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))
| join(complement(X_28),meet(complement(X_271),X_28)) = complement(meet(X_28,X_271)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_28),meet(complement(X_271),X_28)),join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))) ),[1],$fot(complement(meet(X_28,X_271)))]]) ).
cnf(refute_0_8368,plain,
( join(complement(X_28),meet(complement(X_271),X_28)) != join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))
| join(complement(X_28),meet(complement(X_271),X_28)) = complement(meet(X_28,X_271)) ),
inference(resolve,[$cnf( $equal(join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28))),complement(meet(X_28,X_271))) )],[refute_0_8366,refute_0_8367]) ).
cnf(refute_0_8369,plain,
join(complement(X_28),meet(complement(X_271),X_28)) = complement(meet(X_28,X_271)),
inference(resolve,[$cnf( $equal(join(complement(X_28),meet(complement(X_271),X_28)),join(complement(X_271),join(complement(X_28),meet(complement(X_271),X_28)))) )],[refute_0_8361,refute_0_8368]) ).
cnf(refute_0_8370,plain,
join(complement(X_35),meet(complement(X1),X_35)) = complement(meet(X_35,X1)),
inference(subst,[],[refute_0_8369:[bind(X_271,$fot(X1)),bind(X_28,$fot(X_35))]]) ).
cnf(refute_0_8371,plain,
join(X1,join(complement(X_35),meet(complement(X1),X_35))) = join(X1,join(complement(X_35),meet(complement(X1),X_35))),
introduced(tautology,[refl,[$fot(join(X1,join(complement(X_35),meet(complement(X1),X_35))))]]) ).
cnf(refute_0_8372,plain,
( join(X1,join(complement(X_35),meet(complement(X1),X_35))) != join(X1,join(complement(X_35),meet(complement(X1),X_35)))
| join(complement(X_35),meet(complement(X1),X_35)) != complement(meet(X_35,X1))
| join(X1,join(complement(X_35),meet(complement(X1),X_35))) = join(X1,complement(meet(X_35,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(complement(X_35),meet(complement(X1),X_35))),join(X1,join(complement(X_35),meet(complement(X1),X_35)))) ),[1,1],$fot(complement(meet(X_35,X1)))]]) ).
cnf(refute_0_8373,plain,
( join(complement(X_35),meet(complement(X1),X_35)) != complement(meet(X_35,X1))
| join(X1,join(complement(X_35),meet(complement(X1),X_35))) = join(X1,complement(meet(X_35,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X_35),meet(complement(X1),X_35))),join(X1,join(complement(X_35),meet(complement(X1),X_35)))) )],[refute_0_8371,refute_0_8372]) ).
cnf(refute_0_8374,plain,
join(X1,join(complement(X_35),meet(complement(X1),X_35))) = join(X1,complement(meet(X_35,X1))),
inference(resolve,[$cnf( $equal(join(complement(X_35),meet(complement(X1),X_35)),complement(meet(X_35,X1))) )],[refute_0_8370,refute_0_8373]) ).
cnf(refute_0_8375,plain,
( join(X1,join(complement(X_35),meet(complement(X1),X_35))) != join(X1,complement(meet(X_35,X1)))
| top != join(X1,join(complement(X_35),meet(complement(X1),X_35)))
| top = join(X1,complement(meet(X_35,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X1,join(complement(X_35),meet(complement(X1),X_35)))) ),[1],$fot(join(X1,complement(meet(X_35,X1))))]]) ).
cnf(refute_0_8376,plain,
( top != join(X1,join(complement(X_35),meet(complement(X1),X_35)))
| top = join(X1,complement(meet(X_35,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X_35),meet(complement(X1),X_35))),join(X1,complement(meet(X_35,X1)))) )],[refute_0_8374,refute_0_8375]) ).
cnf(refute_0_8377,plain,
top = join(X1,complement(meet(X_35,X1))),
inference(resolve,[$cnf( $equal(top,join(X1,join(complement(X_35),meet(complement(X1),X_35)))) )],[refute_0_8350,refute_0_8376]) ).
cnf(refute_0_8378,plain,
top = join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_8377:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_35,$fot(X_350))]]) ).
cnf(refute_0_8379,plain,
( top != join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8380,plain,
join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8378,refute_0_8379]) ).
cnf(refute_0_8381,plain,
( join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) != top
| top != join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))))
| top = join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_8382,plain,
( top != join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))))
| top = join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_8380,refute_0_8381]) ).
cnf(refute_0_8383,plain,
top = join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))),
inference(resolve,[$cnf( $equal(top,join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8324,refute_0_8382]) ).
cnf(refute_0_8384,plain,
meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))) = meet(X_350,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_253:[bind(X_97,$fot(meet(X_350,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8385,plain,
complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8386,plain,
( complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) != complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))))
| meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))) != meet(X_350,converse(skolemFOFtoCNF_X0))
| complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(X_350,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))),complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(X_350,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8387,plain,
( meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))) != meet(X_350,converse(skolemFOFtoCNF_X0))
| complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(X_350,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))),complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8385,refute_0_8386]) ).
cnf(refute_0_8388,plain,
complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(X_350,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))),meet(X_350,converse(skolemFOFtoCNF_X0))) )],[refute_0_8384,refute_0_8387]) ).
cnf(refute_0_8389,plain,
join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(top)),bind(X1,$fot(meet(X_350,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8390,plain,
( complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) != complement(meet(X_350,converse(skolemFOFtoCNF_X0)))
| join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) != complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))))
| join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(X_350,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8391,plain,
( complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))) != complement(meet(X_350,converse(skolemFOFtoCNF_X0)))
| join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(X_350,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8389,refute_0_8390]) ).
cnf(refute_0_8392,plain,
join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) = complement(meet(X_350,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(top,meet(X_350,converse(skolemFOFtoCNF_X0)))),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8388,refute_0_8391]) ).
cnf(refute_0_8393,plain,
join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) = join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8394,plain,
( join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) != complement(meet(X_350,converse(skolemFOFtoCNF_X0)))
| join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) != join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))),join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(X_350,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8395,plain,
( join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) != complement(meet(X_350,converse(skolemFOFtoCNF_X0)))
| join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))),join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8393,refute_0_8394]) ).
cnf(refute_0_8396,plain,
join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8392,refute_0_8395]) ).
cnf(refute_0_8397,plain,
join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) = join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_6415:[bind(X_288,$fot(complement(top))),bind(X_289,$fot(complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8398,plain,
( join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) != join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))
| join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) != join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0))))
| join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))))),bind(Y,$fot(join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8399,plain,
( join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) != join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0))))
| join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))),join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8397,refute_0_8398]) ).
cnf(refute_0_8400,plain,
join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),complement(meet(X_350,converse(skolemFOFtoCNF_X0))))),join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8396,refute_0_8399]) ).
cnf(refute_0_8401,plain,
( join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))) != join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0))))
| top != join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top)))
| top = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top)))) ),[1],$fot(join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8402,plain,
( top != join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top)))
| top = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top))),join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8400,refute_0_8401]) ).
cnf(refute_0_8403,plain,
top = join(one,complement(meet(X_350,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(one,join(complement(meet(X_350,converse(skolemFOFtoCNF_X0))),complement(top)))) )],[refute_0_8383,refute_0_8402]) ).
cnf(refute_0_8404,plain,
top = join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_8403:[bind(X_350,$fot(X_353))]]) ).
cnf(refute_0_8405,plain,
meet(converse(skolemFOFtoCNF_X0),X_353) = meet(X_353,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(converse(skolemFOFtoCNF_X0))),bind(X_28,$fot(X_353))]]) ).
cnf(refute_0_8406,plain,
( meet(converse(skolemFOFtoCNF_X0),X_353) != meet(X_353,converse(skolemFOFtoCNF_X0))
| meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),X_353) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),X_353))),bind(Y,$fot(meet(X_353,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8407,plain,
meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),X_353),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),X_353),meet(X_353,converse(skolemFOFtoCNF_X0))) )],[refute_0_8405,refute_0_8406]) ).
cnf(refute_0_8408,plain,
( meet(X_353,converse(skolemFOFtoCNF_X0)) != meet(converse(skolemFOFtoCNF_X0),X_353)
| top != join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| top = join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),[1,1,0],$fot(meet(converse(skolemFOFtoCNF_X0),X_353))]]) ).
cnf(refute_0_8409,plain,
( top != join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| top = join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353))) ),
inference(resolve,[$cnf( $equal(meet(X_353,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),X_353)) )],[refute_0_8407,refute_0_8408]) ).
cnf(refute_0_8410,plain,
top = join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353))),
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8404,refute_0_8409]) ).
cnf(refute_0_8411,plain,
( top != join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353)))
| join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353)))))]]) ).
cnf(refute_0_8412,plain,
join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(converse(skolemFOFtoCNF_X0),X_353)))) )],[refute_0_8410,refute_0_8411]) ).
cnf(refute_0_8413,plain,
join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) = top,
inference(subst,[],[refute_0_8412:[bind(X_353,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_8414,plain,
composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8415,plain,
( composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != top
| composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8416,plain,
( join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))) != top
| composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8414,refute_0_8415]) ).
cnf(refute_0_8417,plain,
composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),top) )],[refute_0_8413,refute_0_8416]) ).
cnf(refute_0_8418,plain,
( composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8419,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8417,refute_0_8418]) ).
cnf(refute_0_8420,plain,
composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8313,refute_0_8419]) ).
cnf(refute_0_8421,plain,
composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))))),bind(X1,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8422,plain,
( composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8423,plain,
( composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8421,refute_0_8422]) ).
cnf(refute_0_8424,plain,
composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(one,complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8420,refute_0_8423]) ).
cnf(refute_0_8425,plain,
( composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8426,plain,
( composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(complement(skolemFOFtoCNF_X0),top) = composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8424,refute_0_8425]) ).
cnf(refute_0_8427,plain,
( composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),top) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) ),[1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8428,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7580,refute_0_8427]) ).
cnf(refute_0_8429,plain,
( composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)
| composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_8426,refute_0_8428]) ).
cnf(refute_0_8430,plain,
composition(complement(skolemFOFtoCNF_X0),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),one),converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(meet(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,top))),top)) )],[refute_0_7583,refute_0_8429]) ).
cnf(refute_0_8431,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8432,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8430,refute_0_8431]) ).
cnf(refute_0_8433,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(top,complement(skolemFOFtoCNF_X0))) ),[0,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8434,plain,
( converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8432,refute_0_8433]) ).
cnf(refute_0_8435,plain,
converse(composition(complement(skolemFOFtoCNF_X0),top)) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_7469,refute_0_8434]) ).
cnf(refute_0_8436,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(top,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8437,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),top) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8037,refute_0_8436]) ).
cnf(refute_0_8438,plain,
composition(complement(skolemFOFtoCNF_X0),top) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8435,refute_0_8437]) ).
cnf(refute_0_8439,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(top,complement(skolemFOFtoCNF_X0))
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(complement(skolemFOFtoCNF_X0),top)))))) != complement(top)
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(complement(skolemFOFtoCNF_X0),top)))))),complement(top)) ),[0,1,1,1,0,1],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8440,plain,
( join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(complement(skolemFOFtoCNF_X0),top)))))) != complement(top)
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8438,refute_0_8439]) ).
cnf(refute_0_8441,plain,
join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(complement(skolemFOFtoCNF_X0),top)))))),complement(top)) )],[refute_0_7468,refute_0_8440]) ).
cnf(refute_0_8442,plain,
join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))))]]) ).
cnf(refute_0_8443,plain,
converse(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),X_12)) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_62:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8444,plain,
( converse(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),X_12)) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),X_12)),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) ),[0,0,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8445,plain,
( converse(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),X_12)) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8432,refute_0_8444]) ).
cnf(refute_0_8446,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(top,complement(skolemFOFtoCNF_X0))),X_12)),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8443,refute_0_8445]) ).
cnf(refute_0_8447,plain,
composition(composition(complement(skolemFOFtoCNF_X0),top),X_12) = composition(complement(skolemFOFtoCNF_X0),composition(top,X_12)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(top)),bind(X2,$fot(X_12))]]) ).
cnf(refute_0_8448,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)))]]) ).
cnf(refute_0_8449,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),X_12) != composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12)))]]) ).
cnf(refute_0_8450,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),top),X_12) != composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12))) )],[refute_0_8448,refute_0_8449]) ).
cnf(refute_0_8451,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12),composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) )],[refute_0_8447,refute_0_8450]) ).
cnf(refute_0_8452,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))))]]) ).
cnf(refute_0_8453,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12)))) )],[refute_0_8451,refute_0_8452]) ).
cnf(refute_0_8454,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8446,refute_0_8453]) ).
cnf(refute_0_8455,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8456,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),converse(composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),composition(converse(X1),converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8457,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),converse(composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8432,refute_0_8456]) ).
cnf(refute_0_8458,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),composition(converse(X1),converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8455,refute_0_8457]) ).
cnf(refute_0_8459,plain,
composition(composition(top,complement(skolemFOFtoCNF_X0)),X1) = composition(top,composition(complement(skolemFOFtoCNF_X0),X1)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_8460,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)))]]) ).
cnf(refute_0_8461,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),X1) != composition(top,composition(complement(skolemFOFtoCNF_X0),X1))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1))) ),[1,0],$fot(composition(top,composition(complement(skolemFOFtoCNF_X0),X1)))]]) ).
cnf(refute_0_8462,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),X1) != composition(top,composition(complement(skolemFOFtoCNF_X0),X1))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1))) )],[refute_0_8460,refute_0_8461]) ).
cnf(refute_0_8463,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1),composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) )],[refute_0_8459,refute_0_8462]) ).
cnf(refute_0_8464,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) = composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))))]]) ).
cnf(refute_0_8465,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) = composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1)))) )],[refute_0_8463,refute_0_8464]) ).
cnf(refute_0_8466,plain,
converse(composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),X_12)) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_62:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8467,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),X_12)) != composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),X_12)),composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))) ),[0,0,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_8468,plain,
( converse(composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),X_12)) != composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8037,refute_0_8467]) ).
cnf(refute_0_8469,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(complement(skolemFOFtoCNF_X0),top)),X_12)),composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8466,refute_0_8468]) ).
cnf(refute_0_8470,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))))]]) ).
cnf(refute_0_8471,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)) != composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12)))) )],[refute_0_8451,refute_0_8470]) ).
cnf(refute_0_8472,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),top),X_12)),composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8469,refute_0_8471]) ).
cnf(refute_0_8473,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) != composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))
| composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))))),bind(Y,$fot(composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8474,plain,
composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))),composition(converse(X_12),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8472,refute_0_8473]) ).
cnf(refute_0_8475,plain,
composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))),
inference(subst,[],[refute_0_8474:[bind(X_12,$fot(X1))]]) ).
cnf(refute_0_8476,plain,
( composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)) != converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) != composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))),composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))) ),[1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))))]]) ).
cnf(refute_0_8477,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) != composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top)),converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1)))) )],[refute_0_8475,refute_0_8476]) ).
cnf(refute_0_8478,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)) != composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))),composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8465,refute_0_8477]) ).
cnf(refute_0_8479,plain,
converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),X1)),composition(converse(X1),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8458,refute_0_8478]) ).
cnf(refute_0_8480,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) != converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1)))))]]) ).
cnf(refute_0_8481,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X1))),converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X1)))) )],[refute_0_8479,refute_0_8480]) ).
cnf(refute_0_8482,plain,
converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))),
inference(subst,[],[refute_0_8481:[bind(X1,$fot(X_12))]]) ).
cnf(refute_0_8483,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))))]]) ).
cnf(refute_0_8484,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12)))) )],[refute_0_8482,refute_0_8483]) ).
cnf(refute_0_8485,plain,
converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))) = composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),composition(top,X_12))),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8454,refute_0_8484]) ).
cnf(refute_0_8486,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))) != composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))))),bind(Y,$fot(composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8487,plain,
composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_12))),composition(converse(X_12),composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8485,refute_0_8486]) ).
cnf(refute_0_8488,plain,
composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))),
inference(subst,[],[refute_0_8487:[bind(X_12,$fot(X_529))]]) ).
cnf(refute_0_8489,plain,
complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8490,plain,
( complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))
| composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))
| complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) = complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))]]) ).
cnf(refute_0_8491,plain,
( composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))
| complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) = complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8489,refute_0_8490]) ).
cnf(refute_0_8492,plain,
complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) = complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))),
inference(resolve,[$cnf( $equal(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))) )],[refute_0_8488,refute_0_8491]) ).
cnf(refute_0_8493,plain,
composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8494,plain,
( complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) != complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))
| composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) != composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))]]) ).
cnf(refute_0_8495,plain,
( complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))) != complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))
| composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))) ),
inference(resolve,[$cnf( $equal(composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8493,refute_0_8494]) ).
cnf(refute_0_8496,plain,
composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))) )],[refute_0_8492,refute_0_8495]) ).
cnf(refute_0_8497,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8498,plain,
( composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) != composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))]]) ).
cnf(refute_0_8499,plain,
( composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))) != composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8497,refute_0_8498]) ).
cnf(refute_0_8500,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))),
inference(resolve,[$cnf( $equal(composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) )],[refute_0_8496,refute_0_8499]) ).
cnf(refute_0_8501,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8502,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8503,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8501,refute_0_8502]) ).
cnf(refute_0_8504,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5035,refute_0_8503]) ).
cnf(refute_0_8505,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))))]]) ).
cnf(refute_0_8506,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8504,refute_0_8505]) ).
cnf(refute_0_8507,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) )],[refute_0_8500,refute_0_8506]) ).
cnf(refute_0_8508,plain,
join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8509,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))
| join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))]]) ).
cnf(refute_0_8510,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8508,refute_0_8509]) ).
cnf(refute_0_8511,plain,
join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) )],[refute_0_8507,refute_0_8510]) ).
cnf(refute_0_8512,plain,
join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8513,plain,
( complement(top) != zero
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8514,plain,
( complement(top) != zero
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8512,refute_0_8513]) ).
cnf(refute_0_8515,plain,
join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8514]) ).
cnf(refute_0_8516,plain,
( join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))
| join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))))]]) ).
cnf(refute_0_8517,plain,
( join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8515,refute_0_8516]) ).
cnf(refute_0_8518,plain,
join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))) )],[refute_0_8511,refute_0_8517]) ).
cnf(refute_0_8519,plain,
( join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))
| join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))))),bind(Z,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))))]]) ).
cnf(refute_0_8520,plain,
( join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))) )],[refute_0_8518,refute_0_8519]) ).
cnf(refute_0_8521,plain,
join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) )],[refute_0_8442,refute_0_8520]) ).
cnf(refute_0_8522,plain,
( join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(top)
| join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),complement(top)) ),[0],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))))]]) ).
cnf(refute_0_8523,plain,
( join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(top)
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529))))))) )],[refute_0_8521,refute_0_8522]) ).
cnf(refute_0_8524,plain,
( complement(top) != zero
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) != complement(top)
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_8525,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) != complement(top)
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8524]) ).
cnf(refute_0_8526,plain,
( join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(top)
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))),complement(top)) )],[refute_0_8523,refute_0_8525]) ).
cnf(refute_0_8527,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(X_529,complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),X_529)))))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(complement(skolemFOFtoCNF_X0)),composition(X_529,complement(composition(converse(X_529),composition(top,complement(skolemFOFtoCNF_X0))))))),complement(top)) )],[refute_0_8441,refute_0_8526]) ).
cnf(refute_0_8528,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) = zero,
inference(subst,[],[refute_0_8527:[bind(X_529,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8529,plain,
composition(complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero,
inference(subst,[],[refute_0_5860:[bind(X_177,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8530,plain,
( composition(complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) ),[0,0,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8531,plain,
( composition(complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4782,refute_0_8530]) ).
cnf(refute_0_8532,plain,
composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_8529,refute_0_8531]) ).
cnf(refute_0_8533,plain,
converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8534,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8535,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8533,refute_0_8534]) ).
cnf(refute_0_8536,plain,
converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4782,refute_0_8535]) ).
cnf(refute_0_8537,plain,
( converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8538,plain,
( converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8536,refute_0_8537]) ).
cnf(refute_0_8539,plain,
converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4795,refute_0_8538]) ).
cnf(refute_0_8540,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8541,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8542,plain,
( converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_8540,refute_0_8541]) ).
cnf(refute_0_8543,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8539,refute_0_8542]) ).
cnf(refute_0_8544,plain,
composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8545,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8546,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_8544,refute_0_8545]) ).
cnf(refute_0_8547,plain,
composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7704,refute_0_8546]) ).
cnf(refute_0_8548,plain,
( composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8549,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_8547,refute_0_8548]) ).
cnf(refute_0_8550,plain,
composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8543,refute_0_8549]) ).
cnf(refute_0_8551,plain,
( composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) ),[0],$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8552,plain,
( composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8550,refute_0_8551]) ).
cnf(refute_0_8553,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_8532,refute_0_8552]) ).
cnf(refute_0_8554,plain,
composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8555,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8556,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8557,plain,
( composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8555,refute_0_8556]) ).
cnf(refute_0_8558,plain,
composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8554,refute_0_8557]) ).
cnf(refute_0_8559,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8560,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8561,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8559,refute_0_8560]) ).
cnf(refute_0_8562,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_7757,refute_0_8561]) ).
cnf(refute_0_8563,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8564,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8562,refute_0_8563]) ).
cnf(refute_0_8565,plain,
composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8558,refute_0_8564]) ).
cnf(refute_0_8566,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2376:[bind(X2,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_414,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8567,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8568,plain,
( composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8566,refute_0_8567]) ).
cnf(refute_0_8569,plain,
composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(skolemFOFtoCNF_X0))),composition(top,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8565,refute_0_8568]) ).
cnf(refute_0_8570,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != zero
| composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8571,plain,
( composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != zero
| composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8569,refute_0_8570]) ).
cnf(refute_0_8572,plain,
composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8553,refute_0_8571]) ).
cnf(refute_0_8573,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != zero
| composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != zero
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),zero) ),[0,1,1,0,0,1],$fot(zero)]]) ).
cnf(refute_0_8574,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != zero
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8572,refute_0_8573]) ).
cnf(refute_0_8575,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),zero) )],[refute_0_8528,refute_0_8574]) ).
cnf(refute_0_8576,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(X1,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8577,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != zero
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_8578,plain,
( join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_4809,refute_0_8577]) ).
cnf(refute_0_8579,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8576,refute_0_8578]) ).
cnf(refute_0_8580,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)))]]) ).
cnf(refute_0_8581,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8582,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero))) )],[refute_0_8580,refute_0_8581]) ).
cnf(refute_0_8583,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_8582]) ).
cnf(refute_0_8584,plain,
composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)))]]) ).
cnf(refute_0_8585,plain,
( composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) != composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8586,plain,
( converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) )],[refute_0_8584,refute_0_8585]) ).
cnf(refute_0_8587,plain,
composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4795,refute_0_8586]) ).
cnf(refute_0_8588,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero))
| composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)))]]) ).
cnf(refute_0_8589,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero))) )],[refute_0_8587,refute_0_8588]) ).
cnf(refute_0_8590,plain,
composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_8583,refute_0_8589]) ).
cnf(refute_0_8591,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))))]]) ).
cnf(refute_0_8592,plain,
( composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) != join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))),join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))]]) ).
cnf(refute_0_8593,plain,
( composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))),join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)))) )],[refute_0_8591,refute_0_8592]) ).
cnf(refute_0_8594,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) = join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_8590,refute_0_8593]) ).
cnf(refute_0_8595,plain,
( join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) != join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)))]]) ).
cnf(refute_0_8596,plain,
( join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))),join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))) )],[refute_0_8594,refute_0_8595]) ).
cnf(refute_0_8597,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(zero))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8579,refute_0_8596]) ).
cnf(refute_0_8598,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)))]]) ).
cnf(refute_0_8599,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top))
| join(one,top) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8600,plain,
( join(one,top) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top))) )],[refute_0_8598,refute_0_8599]) ).
cnf(refute_0_8601,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_808,refute_0_8600]) ).
cnf(refute_0_8602,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_426,$fot(top))]]) ).
cnf(refute_0_8603,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)))),bind(Y,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)))),bind(Z,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)))]]) ).
cnf(refute_0_8604,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top))) )],[refute_0_8602,refute_0_8603]) ).
cnf(refute_0_8605,plain,
join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(one,top)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_8601,refute_0_8604]) ).
cnf(refute_0_8606,plain,
( join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))]]) ).
cnf(refute_0_8607,plain,
( join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_8605,refute_0_8606]) ).
cnf(refute_0_8608,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8597,refute_0_8607]) ).
cnf(refute_0_8609,plain,
composition(top,zero) = zero,
inference(subst,[],[refute_0_1888:[bind(X0,$fot(top))]]) ).
cnf(refute_0_8610,plain,
converse(composition(top,zero)) = converse(composition(top,zero)),
introduced(tautology,[refl,[$fot(converse(composition(top,zero)))]]) ).
cnf(refute_0_8611,plain,
( composition(top,zero) != zero
| converse(composition(top,zero)) != converse(composition(top,zero))
| converse(composition(top,zero)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,zero)),converse(composition(top,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8612,plain,
( composition(top,zero) != zero
| converse(composition(top,zero)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),converse(composition(top,zero))) )],[refute_0_8610,refute_0_8611]) ).
cnf(refute_0_8613,plain,
converse(composition(top,zero)) = converse(zero),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_8609,refute_0_8612]) ).
cnf(refute_0_8614,plain,
( converse(composition(top,zero)) != converse(zero)
| converse(zero) != zero
| converse(composition(top,zero)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,zero)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8615,plain,
( converse(zero) != zero
| converse(composition(top,zero)) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),converse(zero)) )],[refute_0_8613,refute_0_8614]) ).
cnf(refute_0_8616,plain,
converse(composition(top,zero)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1133,refute_0_8615]) ).
cnf(refute_0_8617,plain,
complement(converse(composition(top,zero))) = complement(converse(composition(top,zero))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,zero))))]]) ).
cnf(refute_0_8618,plain,
( complement(converse(composition(top,zero))) != complement(converse(composition(top,zero)))
| converse(composition(top,zero)) != zero
| complement(converse(composition(top,zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,zero))),complement(converse(composition(top,zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8619,plain,
( converse(composition(top,zero)) != zero
| complement(converse(composition(top,zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,zero))),complement(converse(composition(top,zero)))) )],[refute_0_8617,refute_0_8618]) ).
cnf(refute_0_8620,plain,
complement(converse(composition(top,zero))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),zero) )],[refute_0_8616,refute_0_8619]) ).
cnf(refute_0_8621,plain,
( complement(converse(composition(top,zero))) != complement(zero)
| complement(zero) != top
| complement(converse(composition(top,zero))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(composition(top,zero))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_8622,plain,
( complement(zero) != top
| complement(converse(composition(top,zero))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,zero))),complement(zero)) )],[refute_0_8620,refute_0_8621]) ).
cnf(refute_0_8623,plain,
complement(converse(composition(top,zero))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_797,refute_0_8622]) ).
cnf(refute_0_8624,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))))]]) ).
cnf(refute_0_8625,plain,
( complement(converse(composition(top,zero))) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8626,plain,
( complement(converse(composition(top,zero))) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) )],[refute_0_8624,refute_0_8625]) ).
cnf(refute_0_8627,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,zero))),top) )],[refute_0_8623,refute_0_8626]) ).
cnf(refute_0_8628,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))))),bind(Y,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))),bind(Z,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8629,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_8627,refute_0_8628]) ).
cnf(refute_0_8630,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8608,refute_0_8629]) ).
cnf(refute_0_8631,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))))]]) ).
cnf(refute_0_8632,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) != composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))))) ),[1,1],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8633,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))),composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))))) )],[refute_0_8631,refute_0_8632]) ).
cnf(refute_0_8634,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) = composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero)))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8630,refute_0_8633]) ).
cnf(refute_0_8635,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) != composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) != zero
| composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))),zero) ),[0],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8636,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))) != zero
| composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))),composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8634,refute_0_8635]) ).
cnf(refute_0_8637,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(top,zero))))),zero) )],[refute_0_8575,refute_0_8636]) ).
cnf(refute_0_8638,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != zero
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_8639,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8637,refute_0_8638]) ).
cnf(refute_0_8640,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(converse(skolemFOFtoCNF_X0)),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7439,refute_0_8639]) ).
cnf(refute_0_8641,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))]]) ).
cnf(refute_0_8642,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8643,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) )],[refute_0_8641,refute_0_8642]) ).
cnf(refute_0_8644,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_8643]) ).
cnf(refute_0_8645,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))),bind(Y,$fot(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top))),bind(Z,$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8646,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top)) )],[refute_0_8644,refute_0_8645]) ).
cnf(refute_0_8647,plain,
composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),top),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8608,refute_0_8646]) ).
cnf(refute_0_8648,plain,
join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))))]]) ).
cnf(refute_0_8649,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))
| join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))) ),[1,1],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8650,plain,
( composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))) )],[refute_0_8648,refute_0_8649]) ).
cnf(refute_0_8651,plain,
join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8647,refute_0_8650]) ).
cnf(refute_0_8652,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8653,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_8654,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8652,refute_0_8653]) ).
cnf(refute_0_8655,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_7757,refute_0_8654]) ).
cnf(refute_0_8656,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != complement(complement(skolemFOFtoCNF_X0))
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8657,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_8655,refute_0_8656]) ).
cnf(refute_0_8658,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_8657]) ).
cnf(refute_0_8659,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))))]]) ).
cnf(refute_0_8660,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_8661,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))) )],[refute_0_8659,refute_0_8660]) ).
cnf(refute_0_8662,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_8658,refute_0_8661]) ).
cnf(refute_0_8663,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))
| join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8664,plain,
( join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero))))) )],[refute_0_8662,refute_0_8663]) ).
cnf(refute_0_8665,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8651,refute_0_8664]) ).
cnf(refute_0_8666,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8667,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8665,refute_0_8666]) ).
cnf(refute_0_8668,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_8669,plain,
( join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_8658,refute_0_8668]) ).
cnf(refute_0_8670,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8667,refute_0_8669]) ).
cnf(refute_0_8671,plain,
join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(zero)))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8640,refute_0_8670]) ).
cnf(refute_0_8672,plain,
converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_270,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8673,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_96,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8674,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != top
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8675,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),top) )],[refute_0_5031,refute_0_8674]) ).
cnf(refute_0_8676,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_8673,refute_0_8675]) ).
cnf(refute_0_8677,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_8678,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_8677]) ).
cnf(refute_0_8679,plain,
join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8680,plain,
meet(X_369,skolemFOFtoCNF_X0) = join(meet(one,meet(X_369,skolemFOFtoCNF_X0)),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1143:[bind(X_108,$fot(meet(X_369,skolemFOFtoCNF_X0))),bind(X_109,$fot(one))]]) ).
cnf(refute_0_8681,plain,
complement(X1) = join(complement(join(X1,complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1)))),
inference(subst,[],[refute_0_1234:[bind(X_96,$fot(complement(meet(X_350,X1))))]]) ).
cnf(refute_0_8682,plain,
top = join(X1,complement(meet(X_350,X1))),
inference(subst,[],[refute_0_8377:[bind(X_35,$fot(X_350))]]) ).
cnf(refute_0_8683,plain,
( top != join(X1,complement(meet(X_350,X1)))
| join(X1,complement(meet(X_350,X1))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X1,complement(meet(X_350,X1)))))]]) ).
cnf(refute_0_8684,plain,
join(X1,complement(meet(X_350,X1))) = top,
inference(resolve,[$cnf( $equal(top,join(X1,complement(meet(X_350,X1)))) )],[refute_0_8682,refute_0_8683]) ).
cnf(refute_0_8685,plain,
( complement(X1) != join(complement(join(X1,complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1))))
| join(X1,complement(meet(X_350,X1))) != top
| complement(X1) = join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(join(X1,complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8686,plain,
( complement(X1) != join(complement(join(X1,complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1))))
| complement(X1) = join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) ),
inference(resolve,[$cnf( $equal(join(X1,complement(meet(X_350,X1))),top) )],[refute_0_8684,refute_0_8685]) ).
cnf(refute_0_8687,plain,
complement(X1) = join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1))))) )],[refute_0_8681,refute_0_8686]) ).
cnf(refute_0_8688,plain,
join(zero,meet(complement(X1),complement(meet(X_350,X1)))) = meet(complement(X1),complement(meet(X_350,X1))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(X1),complement(meet(X_350,X1)))))]]) ).
cnf(refute_0_8689,plain,
join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))))]]) ).
cnf(refute_0_8690,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) != join(complement(top),meet(complement(X1),complement(meet(X_350,X1))))
| join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = join(zero,meet(complement(X1),complement(meet(X_350,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))),join(complement(top),meet(complement(X1),complement(meet(X_350,X1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8691,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = join(zero,meet(complement(X1),complement(meet(X_350,X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))),join(complement(top),meet(complement(X1),complement(meet(X_350,X1))))) )],[refute_0_8689,refute_0_8690]) ).
cnf(refute_0_8692,plain,
join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = join(zero,meet(complement(X1),complement(meet(X_350,X1)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8691]) ).
cnf(refute_0_8693,plain,
( join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) != join(zero,meet(complement(X1),complement(meet(X_350,X1))))
| join(zero,meet(complement(X1),complement(meet(X_350,X1)))) != meet(complement(X1),complement(meet(X_350,X1)))
| join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = meet(complement(X1),complement(meet(X_350,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))))),bind(Y,$fot(join(zero,meet(complement(X1),complement(meet(X_350,X1)))))),bind(Z,$fot(meet(complement(X1),complement(meet(X_350,X1)))))]]) ).
cnf(refute_0_8694,plain,
( join(zero,meet(complement(X1),complement(meet(X_350,X1)))) != meet(complement(X1),complement(meet(X_350,X1)))
| join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = meet(complement(X1),complement(meet(X_350,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))),join(zero,meet(complement(X1),complement(meet(X_350,X1))))) )],[refute_0_8692,refute_0_8693]) ).
cnf(refute_0_8695,plain,
join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) = meet(complement(X1),complement(meet(X_350,X1))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X1),complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1)))) )],[refute_0_8688,refute_0_8694]) ).
cnf(refute_0_8696,plain,
( complement(X1) != join(complement(top),meet(complement(X1),complement(meet(X_350,X1))))
| join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))) != meet(complement(X1),complement(meet(X_350,X1)))
| complement(X1) = meet(complement(X1),complement(meet(X_350,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),meet(complement(X1),complement(meet(X_350,X1)))) ),[0],$fot(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))))]]) ).
cnf(refute_0_8697,plain,
( complement(X1) != join(complement(top),meet(complement(X1),complement(meet(X_350,X1))))
| complement(X1) = meet(complement(X1),complement(meet(X_350,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),complement(meet(X_350,X1)))),meet(complement(X1),complement(meet(X_350,X1)))) )],[refute_0_8695,refute_0_8696]) ).
cnf(refute_0_8698,plain,
complement(X1) = meet(complement(X1),complement(meet(X_350,X1))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(top),meet(complement(X1),complement(meet(X_350,X1))))) )],[refute_0_8687,refute_0_8697]) ).
cnf(refute_0_8699,plain,
complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(join(complement(skolemFOFtoCNF_X0),X2))),bind(X_350,$fot(complement(one)))]]) ).
cnf(refute_0_8700,plain,
complement(one) = join(complement(join(one,join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(join(complement(skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_8701,plain,
( complement(one) != join(complement(join(one,join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != top
| complement(one) = join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8702,plain,
( complement(one) != join(complement(join(one,join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))
| complement(one) = join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),top) )],[refute_0_8103,refute_0_8701]) ).
cnf(refute_0_8703,plain,
complement(one) = join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8700,refute_0_8702]) ).
cnf(refute_0_8704,plain,
join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8705,plain,
join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8706,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) != join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))
| join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8707,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8705,refute_0_8706]) ).
cnf(refute_0_8708,plain,
join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8707]) ).
cnf(refute_0_8709,plain,
( join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) != join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))
| join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) != meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))
| join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))),bind(Y,$fot(join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))),bind(Z,$fot(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8710,plain,
( join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) != meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))
| join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8708,refute_0_8709]) ).
cnf(refute_0_8711,plain,
join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) )],[refute_0_8704,refute_0_8710]) ).
cnf(refute_0_8712,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))
| join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) != meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))
| complement(one) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) ),[0],$fot(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8713,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))
| complement(one) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) )],[refute_0_8711,refute_0_8712]) ).
cnf(refute_0_8714,plain,
complement(one) = meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8703,refute_0_8713]) ).
cnf(refute_0_8715,plain,
( complement(one) != meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))
| meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8716,plain,
meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))) )],[refute_0_8714,refute_0_8715]) ).
cnf(refute_0_8717,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))
| meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)) != complement(one)
| complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_8718,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))
| complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2)),complement(one)) )],[refute_0_8716,refute_0_8717]) ).
cnf(refute_0_8719,plain,
complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(meet(complement(one),join(complement(skolemFOFtoCNF_X0),X2))))) )],[refute_0_8699,refute_0_8718]) ).
cnf(refute_0_8720,plain,
complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(skolemFOFtoCNF_X0,complement(X2)),
inference(subst,[],[refute_0_905:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_31,$fot(X2))]]) ).
cnf(refute_0_8721,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))
| complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(skolemFOFtoCNF_X0,complement(X2))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))) ),[0],$fot(meet(skolemFOFtoCNF_X0,complement(X2)))]]) ).
cnf(refute_0_8722,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(skolemFOFtoCNF_X0,complement(X2))) )],[refute_0_8720,refute_0_8721]) ).
cnf(refute_0_8723,plain,
meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8724,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(skolemFOFtoCNF_X0,complement(X2))
| meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,complement(X2)))]]) ).
cnf(refute_0_8725,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(skolemFOFtoCNF_X0,complement(X2))
| meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8723,refute_0_8724]) ).
cnf(refute_0_8726,plain,
meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(skolemFOFtoCNF_X0,complement(X2))) )],[refute_0_8720,refute_0_8725]) ).
cnf(refute_0_8727,plain,
meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8728,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8729,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8727,refute_0_8728]) ).
cnf(refute_0_8730,plain,
meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_8729]) ).
cnf(refute_0_8731,plain,
( meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))))),bind(Y,$fot(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))))),bind(Z,$fot(meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))))]]) ).
cnf(refute_0_8732,plain,
( meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8730,refute_0_8731]) ).
cnf(refute_0_8733,plain,
meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))) )],[refute_0_8726,refute_0_8732]) ).
cnf(refute_0_8734,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) = meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(one)))),bind(X_28,$fot(complement(join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_8735,plain,
( meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) != meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))))),bind(Z,$fot(meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))))]]) ).
cnf(refute_0_8736,plain,
( meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))),meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_8734,refute_0_8735]) ).
cnf(refute_0_8737,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))) )],[refute_0_8733,refute_0_8736]) ).
cnf(refute_0_8738,plain,
( meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(skolemFOFtoCNF_X0,complement(X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))) ),[1],$fot(meet(one,meet(skolemFOFtoCNF_X0,complement(X2))))]]) ).
cnf(refute_0_8739,plain,
( meet(skolemFOFtoCNF_X0,complement(X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one))),meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))) )],[refute_0_8737,refute_0_8738]) ).
cnf(refute_0_8740,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))) )],[refute_0_8722,refute_0_8739]) ).
cnf(refute_0_8741,plain,
meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),complement(complement(one)))) )],[refute_0_8719,refute_0_8740]) ).
cnf(refute_0_8742,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X1)))),
inference(subst,[],[refute_0_8741:[bind(X2,$fot(complement(X1)))]]) ).
cnf(refute_0_8743,plain,
( complement(complement(X1)) != X1
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) != meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X1))))
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(one,meet(skolemFOFtoCNF_X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X1))))) ),[1,1,1],$fot(X1)]]) ).
cnf(refute_0_8744,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X1))) != meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X1))))
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(one,meet(skolemFOFtoCNF_X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_8743]) ).
cnf(refute_0_8745,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(one,meet(skolemFOFtoCNF_X0,X1)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X1))))) )],[refute_0_8742,refute_0_8744]) ).
cnf(refute_0_8746,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(skolemFOFtoCNF_X0,complement(complement(X1))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(complement(X1))))]]) ).
cnf(refute_0_8747,plain,
( complement(complement(X1)) != X1
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) != meet(skolemFOFtoCNF_X0,complement(complement(X1)))
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(skolemFOFtoCNF_X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(skolemFOFtoCNF_X0,complement(complement(X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_8748,plain,
( complement(complement(X1)) != X1
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(skolemFOFtoCNF_X0,X1) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(skolemFOFtoCNF_X0,complement(complement(X1)))) )],[refute_0_8746,refute_0_8747]) ).
cnf(refute_0_8749,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X1))) = meet(skolemFOFtoCNF_X0,X1),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_8748]) ).
cnf(refute_0_8750,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X1))) != meet(one,meet(skolemFOFtoCNF_X0,X1))
| meet(skolemFOFtoCNF_X0,complement(complement(X1))) != meet(skolemFOFtoCNF_X0,X1)
| meet(skolemFOFtoCNF_X0,X1) = meet(one,meet(skolemFOFtoCNF_X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(one,meet(skolemFOFtoCNF_X0,X1))) ),[0],$fot(meet(skolemFOFtoCNF_X0,X1))]]) ).
cnf(refute_0_8751,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X1))) != meet(one,meet(skolemFOFtoCNF_X0,X1))
| meet(skolemFOFtoCNF_X0,X1) = meet(one,meet(skolemFOFtoCNF_X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(skolemFOFtoCNF_X0,X1)) )],[refute_0_8749,refute_0_8750]) ).
cnf(refute_0_8752,plain,
meet(skolemFOFtoCNF_X0,X1) = meet(one,meet(skolemFOFtoCNF_X0,X1)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X1))),meet(one,meet(skolemFOFtoCNF_X0,X1))) )],[refute_0_8745,refute_0_8751]) ).
cnf(refute_0_8753,plain,
meet(skolemFOFtoCNF_X0,X_368) = meet(one,meet(skolemFOFtoCNF_X0,X_368)),
inference(subst,[],[refute_0_8752:[bind(X1,$fot(X_368))]]) ).
cnf(refute_0_8754,plain,
meet(X_368,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_368),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_368)),bind(X_28,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8755,plain,
( meet(X_368,skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,X_368)
| meet(skolemFOFtoCNF_X0,X_368) = meet(X_368,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_368,skolemFOFtoCNF_X0))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,X_368)))]]) ).
cnf(refute_0_8756,plain,
meet(skolemFOFtoCNF_X0,X_368) = meet(X_368,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(X_368,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_368)) )],[refute_0_8754,refute_0_8755]) ).
cnf(refute_0_8757,plain,
( meet(skolemFOFtoCNF_X0,X_368) != meet(X_368,skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,X_368) != meet(one,meet(skolemFOFtoCNF_X0,X_368))
| meet(skolemFOFtoCNF_X0,X_368) = meet(one,meet(X_368,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_368),meet(one,meet(skolemFOFtoCNF_X0,X_368))) ),[1,1],$fot(meet(X_368,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8758,plain,
( meet(skolemFOFtoCNF_X0,X_368) != meet(one,meet(skolemFOFtoCNF_X0,X_368))
| meet(skolemFOFtoCNF_X0,X_368) = meet(one,meet(X_368,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_368),meet(X_368,skolemFOFtoCNF_X0)) )],[refute_0_8756,refute_0_8757]) ).
cnf(refute_0_8759,plain,
meet(skolemFOFtoCNF_X0,X_368) = meet(one,meet(X_368,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_368),meet(one,meet(skolemFOFtoCNF_X0,X_368))) )],[refute_0_8753,refute_0_8758]) ).
cnf(refute_0_8760,plain,
meet(skolemFOFtoCNF_X0,X_369) = meet(one,meet(X_369,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_8759:[bind(X_368,$fot(X_369))]]) ).
cnf(refute_0_8761,plain,
( meet(skolemFOFtoCNF_X0,X_369) != meet(one,meet(X_369,skolemFOFtoCNF_X0))
| meet(one,meet(X_369,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,X_369) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_369))),bind(Y,$fot(meet(one,meet(X_369,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8762,plain,
meet(one,meet(X_369,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,X_369),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_369),meet(one,meet(X_369,skolemFOFtoCNF_X0))) )],[refute_0_8760,refute_0_8761]) ).
cnf(refute_0_8763,plain,
( meet(X_369,skolemFOFtoCNF_X0) != join(meet(one,meet(X_369,skolemFOFtoCNF_X0)),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))
| meet(one,meet(X_369,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,X_369)
| meet(X_369,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_369,skolemFOFtoCNF_X0),join(meet(one,meet(X_369,skolemFOFtoCNF_X0)),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,X_369))]]) ).
cnf(refute_0_8764,plain,
( meet(X_369,skolemFOFtoCNF_X0) != join(meet(one,meet(X_369,skolemFOFtoCNF_X0)),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))
| meet(X_369,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(X_369,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_369)) )],[refute_0_8762,refute_0_8763]) ).
cnf(refute_0_8765,plain,
meet(X_369,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(X_369,skolemFOFtoCNF_X0),join(meet(one,meet(X_369,skolemFOFtoCNF_X0)),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))) )],[refute_0_8680,refute_0_8764]) ).
cnf(refute_0_8766,plain,
join(zero,meet(skolemFOFtoCNF_X0,X_369)) = meet(skolemFOFtoCNF_X0,X_369),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(skolemFOFtoCNF_X0,X_369)))]]) ).
cnf(refute_0_8767,plain,
join(meet(skolemFOFtoCNF_X0,X_369),zero) = join(zero,meet(skolemFOFtoCNF_X0,X_369)),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(meet(skolemFOFtoCNF_X0,X_369))),bind(X_20,$fot(zero))]]) ).
cnf(refute_0_8768,plain,
( join(meet(skolemFOFtoCNF_X0,X_369),zero) != join(zero,meet(skolemFOFtoCNF_X0,X_369))
| join(zero,meet(skolemFOFtoCNF_X0,X_369)) != meet(skolemFOFtoCNF_X0,X_369)
| join(meet(skolemFOFtoCNF_X0,X_369),zero) = meet(skolemFOFtoCNF_X0,X_369) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,X_369),zero))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,X_369)))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,X_369)))]]) ).
cnf(refute_0_8769,plain,
( join(zero,meet(skolemFOFtoCNF_X0,X_369)) != meet(skolemFOFtoCNF_X0,X_369)
| join(meet(skolemFOFtoCNF_X0,X_369),zero) = meet(skolemFOFtoCNF_X0,X_369) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_369),zero),join(zero,meet(skolemFOFtoCNF_X0,X_369))) )],[refute_0_8767,refute_0_8768]) ).
cnf(refute_0_8770,plain,
join(meet(skolemFOFtoCNF_X0,X_369),zero) = meet(skolemFOFtoCNF_X0,X_369),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,X_369)),meet(skolemFOFtoCNF_X0,X_369)) )],[refute_0_8766,refute_0_8769]) ).
cnf(refute_0_8771,plain,
meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = complement(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))))]]) ).
cnf(refute_0_8772,plain,
top = join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459))))),
inference(subst,[],[refute_0_8377:[bind(X1,$fot(complement(meet(skolemFOFtoCNF_X0,X_459)))),bind(X_35,$fot(complement(one)))]]) ).
cnf(refute_0_8773,plain,
complement(one) = join(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(complement(meet(skolemFOFtoCNF_X0,X_347))))]]) ).
cnf(refute_0_8774,plain,
top = join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))))),
inference(subst,[],[refute_0_6210:[bind(X_21,$fot(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))]]) ).
cnf(refute_0_8775,plain,
top = join(complement(X_34),join(complement(join(zero,complement(X1))),meet(X_34,join(zero,complement(X1))))),
inference(subst,[],[refute_0_172:[bind(X_27,$fot(X_34)),bind(X_28,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_8776,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| top != join(complement(X_34),join(complement(join(zero,complement(X1))),meet(X_34,join(zero,complement(X1)))))
| top = join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_34),join(complement(join(zero,complement(X1))),meet(X_34,join(zero,complement(X1)))))) ),[1,1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_8777,plain,
( top != join(complement(X_34),join(complement(join(zero,complement(X1))),meet(X_34,join(zero,complement(X1)))))
| top = join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_1198,refute_0_8776]) ).
cnf(refute_0_8778,plain,
top = join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))),
inference(resolve,[$cnf( $equal(top,join(complement(X_34),join(complement(join(zero,complement(X1))),meet(X_34,join(zero,complement(X1)))))) )],[refute_0_8775,refute_0_8777]) ).
cnf(refute_0_8779,plain,
meet(X_34,join(zero,complement(X1))) = meet(X_34,join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(meet(X_34,join(zero,complement(X1))))]]) ).
cnf(refute_0_8780,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(X_34,join(zero,complement(X1))) != meet(X_34,join(zero,complement(X1)))
| meet(X_34,join(zero,complement(X1))) = meet(X_34,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_34,join(zero,complement(X1))),meet(X_34,join(zero,complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_0_8781,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(X_34,join(zero,complement(X1))) = meet(X_34,complement(X1)) ),
inference(resolve,[$cnf( $equal(meet(X_34,join(zero,complement(X1))),meet(X_34,join(zero,complement(X1)))) )],[refute_0_8779,refute_0_8780]) ).
cnf(refute_0_8782,plain,
meet(X_34,join(zero,complement(X1))) = meet(X_34,complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_282,refute_0_8781]) ).
cnf(refute_0_8783,plain,
join(X1,meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(join(X1,meet(X_34,join(zero,complement(X1)))))]]) ).
cnf(refute_0_8784,plain,
( join(X1,meet(X_34,join(zero,complement(X1)))) != join(X1,meet(X_34,join(zero,complement(X1))))
| meet(X_34,join(zero,complement(X1))) != meet(X_34,complement(X1))
| join(X1,meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,meet(X_34,join(zero,complement(X1)))),join(X1,meet(X_34,join(zero,complement(X1))))) ),[1,1],$fot(meet(X_34,complement(X1)))]]) ).
cnf(refute_0_8785,plain,
( meet(X_34,join(zero,complement(X1))) != meet(X_34,complement(X1))
| join(X1,meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(X1,meet(X_34,join(zero,complement(X1)))),join(X1,meet(X_34,join(zero,complement(X1))))) )],[refute_0_8783,refute_0_8784]) ).
cnf(refute_0_8786,plain,
join(X1,meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,complement(X1))),
inference(resolve,[$cnf( $equal(meet(X_34,join(zero,complement(X1))),meet(X_34,complement(X1))) )],[refute_0_8782,refute_0_8785]) ).
cnf(refute_0_8787,plain,
join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(meet(top,X1),meet(X_34,join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))]]) ).
cnf(refute_0_8788,plain,
( join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) != join(meet(top,X1),meet(X_34,join(zero,complement(X1))))
| meet(top,X1) != X1
| join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),meet(X_34,join(zero,complement(X1)))),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_8789,plain,
( meet(top,X1) != X1
| join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),meet(X_34,join(zero,complement(X1)))),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) )],[refute_0_8787,refute_0_8788]) ).
cnf(refute_0_8790,plain,
join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_279,refute_0_8789]) ).
cnf(refute_0_8791,plain,
( join(X1,meet(X_34,join(zero,complement(X1)))) != join(X1,meet(X_34,complement(X1)))
| join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) != join(X1,meet(X_34,join(zero,complement(X1))))
| join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,complement(X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))),bind(Y,$fot(join(X1,meet(X_34,join(zero,complement(X1)))))),bind(Z,$fot(join(X1,meet(X_34,complement(X1)))))]]) ).
cnf(refute_0_8792,plain,
( join(X1,meet(X_34,join(zero,complement(X1)))) != join(X1,meet(X_34,complement(X1)))
| join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),meet(X_34,join(zero,complement(X1)))),join(X1,meet(X_34,join(zero,complement(X1))))) )],[refute_0_8790,refute_0_8791]) ).
cnf(refute_0_8793,plain,
join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) = join(X1,meet(X_34,complement(X1))),
inference(resolve,[$cnf( $equal(join(X1,meet(X_34,join(zero,complement(X1)))),join(X1,meet(X_34,complement(X1)))) )],[refute_0_8786,refute_0_8792]) ).
cnf(refute_0_8794,plain,
join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) = join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))),
introduced(tautology,[refl,[$fot(join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))))]]) ).
cnf(refute_0_8795,plain,
( join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) != join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))
| join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) != join(X1,meet(X_34,complement(X1)))
| join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) = join(complement(X_34),join(X1,meet(X_34,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))),join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))) ),[1,1],$fot(join(X1,meet(X_34,complement(X1))))]]) ).
cnf(refute_0_8796,plain,
( join(meet(top,X1),meet(X_34,join(zero,complement(X1)))) != join(X1,meet(X_34,complement(X1)))
| join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) = join(complement(X_34),join(X1,meet(X_34,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))),join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))) )],[refute_0_8794,refute_0_8795]) ).
cnf(refute_0_8797,plain,
join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) = join(complement(X_34),join(X1,meet(X_34,complement(X1)))),
inference(resolve,[$cnf( $equal(join(meet(top,X1),meet(X_34,join(zero,complement(X1)))),join(X1,meet(X_34,complement(X1)))) )],[refute_0_8793,refute_0_8796]) ).
cnf(refute_0_8798,plain,
( join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))) != join(complement(X_34),join(X1,meet(X_34,complement(X1))))
| top != join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))
| top = join(complement(X_34),join(X1,meet(X_34,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))) ),[1],$fot(join(complement(X_34),join(X1,meet(X_34,complement(X1)))))]]) ).
cnf(refute_0_8799,plain,
( top != join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))
| top = join(complement(X_34),join(X1,meet(X_34,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1))))),join(complement(X_34),join(X1,meet(X_34,complement(X1))))) )],[refute_0_8797,refute_0_8798]) ).
cnf(refute_0_8800,plain,
top = join(complement(X_34),join(X1,meet(X_34,complement(X1)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_34),join(meet(top,X1),meet(X_34,join(zero,complement(X1)))))) )],[refute_0_8778,refute_0_8799]) ).
cnf(refute_0_8801,plain,
top = join(complement(complement(X1)),join(X_340,meet(complement(X1),complement(X_340)))),
inference(subst,[],[refute_0_8800:[bind(X1,$fot(X_340)),bind(X_34,$fot(complement(X1)))]]) ).
cnf(refute_0_8802,plain,
( complement(complement(X1)) != X1
| top != join(complement(complement(X1)),join(X_340,meet(complement(X1),complement(X_340))))
| top = join(X1,join(X_340,meet(complement(X1),complement(X_340)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(X1)),join(X_340,meet(complement(X1),complement(X_340))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_8803,plain,
( top != join(complement(complement(X1)),join(X_340,meet(complement(X1),complement(X_340))))
| top = join(X1,join(X_340,meet(complement(X1),complement(X_340)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_8802]) ).
cnf(refute_0_8804,plain,
top = join(X1,join(X_340,meet(complement(X1),complement(X_340)))),
inference(resolve,[$cnf( $equal(top,join(complement(complement(X1)),join(X_340,meet(complement(X1),complement(X_340))))) )],[refute_0_8801,refute_0_8803]) ).
cnf(refute_0_8805,plain,
top = join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),
inference(subst,[],[refute_0_8804:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_340,$fot(X_343))]]) ).
cnf(refute_0_8806,plain,
( top != join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))
| join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))))]]) ).
cnf(refute_0_8807,plain,
join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) )],[refute_0_8805,refute_0_8806]) ).
cnf(refute_0_8808,plain,
( join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != top
| top != join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))))
| top = join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_8809,plain,
( top != join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))))
| top = join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),top) )],[refute_0_8807,refute_0_8808]) ).
cnf(refute_0_8810,plain,
top = join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))),
inference(resolve,[$cnf( $equal(top,join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(join(skolemFOFtoCNF_X0,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))))) )],[refute_0_8774,refute_0_8809]) ).
cnf(refute_0_8811,plain,
join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))]]) ).
cnf(refute_0_8812,plain,
join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),
introduced(tautology,[refl,[$fot(join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))]]) ).
cnf(refute_0_8813,plain,
( complement(top) != zero
| join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))
| join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8814,plain,
( complement(top) != zero
| join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) )],[refute_0_8812,refute_0_8813]) ).
cnf(refute_0_8815,plain,
join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8814]) ).
cnf(refute_0_8816,plain,
( join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))
| join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))
| join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))),bind(Y,$fot(join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))),bind(Z,$fot(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))]]) ).
cnf(refute_0_8817,plain,
( join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))
| join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) )],[refute_0_8815,refute_0_8816]) ).
cnf(refute_0_8818,plain,
join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) = join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),
inference(resolve,[$cnf( $equal(join(zero,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) )],[refute_0_8811,refute_0_8817]) ).
cnf(refute_0_8819,plain,
join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) = join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))))]]) ).
cnf(refute_0_8820,plain,
( join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))
| join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) != join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))
| join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))),join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))) ),[1,1],$fot(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))]]) ).
cnf(refute_0_8821,plain,
( join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) != join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))
| join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))),join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))) )],[refute_0_8819,refute_0_8820]) ).
cnf(refute_0_8822,plain,
join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),
inference(resolve,[$cnf( $equal(join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) )],[refute_0_8818,refute_0_8821]) ).
cnf(refute_0_8823,plain,
join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) = join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))),
inference(subst,[],[refute_0_6415:[bind(X_288,$fot(complement(top))),bind(X_289,$fot(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))]]) ).
cnf(refute_0_8824,plain,
( join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) != join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))
| join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) != join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))
| join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))))),bind(Y,$fot(join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))))),bind(Z,$fot(join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))))]]) ).
cnf(refute_0_8825,plain,
( join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) != join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))
| join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))),join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))) )],[refute_0_8823,refute_0_8824]) ).
cnf(refute_0_8826,plain,
join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(top),join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))),join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) )],[refute_0_8822,refute_0_8825]) ).
cnf(refute_0_8827,plain,
( join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))) != join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))
| top != join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top)))
| top = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top)))) ),[1],$fot(join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))))]]) ).
cnf(refute_0_8828,plain,
( top != join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top)))
| top = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top))),join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))))) )],[refute_0_8826,refute_0_8827]) ).
cnf(refute_0_8829,plain,
top = join(one,join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343)))),
inference(resolve,[$cnf( $equal(top,join(one,join(join(X_343,meet(complement(skolemFOFtoCNF_X0),complement(X_343))),complement(top)))) )],[refute_0_8810,refute_0_8828]) ).
cnf(refute_0_8830,plain,
top = join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),complement(complement(X1))))),
inference(subst,[],[refute_0_8829:[bind(X_343,$fot(complement(X1)))]]) ).
cnf(refute_0_8831,plain,
( complement(complement(X1)) != X1
| top != join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),complement(complement(X1)))))
| top = join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),complement(complement(X1)))))) ),[1,1,1,1],$fot(X1)]]) ).
cnf(refute_0_8832,plain,
( top != join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),complement(complement(X1)))))
| top = join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_8831]) ).
cnf(refute_0_8833,plain,
top = join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))),
inference(resolve,[$cnf( $equal(top,join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),complement(complement(X1)))))) )],[refute_0_8830,refute_0_8832]) ).
cnf(refute_0_8834,plain,
join(complement(X1),complement(skolemFOFtoCNF_X0)) = complement(meet(X1,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(X1)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8835,plain,
join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) = join(complement(X1),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2568:[bind(X_28,$fot(X1)),bind(X_298,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8836,plain,
( join(complement(X1),complement(skolemFOFtoCNF_X0)) != complement(meet(X1,skolemFOFtoCNF_X0))
| join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) != join(complement(X1),complement(skolemFOFtoCNF_X0))
| join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) = complement(meet(X1,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))),bind(Y,$fot(join(complement(X1),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(meet(X1,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8837,plain,
( join(complement(X1),complement(skolemFOFtoCNF_X0)) != complement(meet(X1,skolemFOFtoCNF_X0))
| join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) = complement(meet(X1,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)),join(complement(X1),complement(skolemFOFtoCNF_X0))) )],[refute_0_8835,refute_0_8836]) ).
cnf(refute_0_8838,plain,
join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) = complement(meet(X1,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(skolemFOFtoCNF_X0)),complement(meet(X1,skolemFOFtoCNF_X0))) )],[refute_0_8834,refute_0_8837]) ).
cnf(refute_0_8839,plain,
join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) = join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))))]]) ).
cnf(refute_0_8840,plain,
( join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) != complement(meet(X1,skolemFOFtoCNF_X0))
| join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) != join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))
| join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) = join(one,complement(meet(X1,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))),join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))) ),[1,1],$fot(complement(meet(X1,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8841,plain,
( join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)) != complement(meet(X1,skolemFOFtoCNF_X0))
| join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) = join(one,complement(meet(X1,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))),join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))) )],[refute_0_8839,refute_0_8840]) ).
cnf(refute_0_8842,plain,
join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) = join(one,complement(meet(X1,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)),complement(meet(X1,skolemFOFtoCNF_X0))) )],[refute_0_8838,refute_0_8841]) ).
cnf(refute_0_8843,plain,
( join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))) != join(one,complement(meet(X1,skolemFOFtoCNF_X0)))
| top != join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))
| top = join(one,complement(meet(X1,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))) ),[1],$fot(join(one,complement(meet(X1,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8844,plain,
( top != join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))
| top = join(one,complement(meet(X1,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1))),join(one,complement(meet(X1,skolemFOFtoCNF_X0)))) )],[refute_0_8842,refute_0_8843]) ).
cnf(refute_0_8845,plain,
top = join(one,complement(meet(X1,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(top,join(one,join(complement(X1),meet(complement(skolemFOFtoCNF_X0),X1)))) )],[refute_0_8833,refute_0_8844]) ).
cnf(refute_0_8846,plain,
top = join(one,complement(meet(X_346,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_8845:[bind(X1,$fot(X_346))]]) ).
cnf(refute_0_8847,plain,
meet(skolemFOFtoCNF_X0,X_346) = meet(X_346,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(skolemFOFtoCNF_X0)),bind(X_28,$fot(X_346))]]) ).
cnf(refute_0_8848,plain,
( meet(skolemFOFtoCNF_X0,X_346) != meet(X_346,skolemFOFtoCNF_X0)
| meet(X_346,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_346) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_346))),bind(Y,$fot(meet(X_346,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8849,plain,
meet(X_346,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_346),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_346),meet(X_346,skolemFOFtoCNF_X0)) )],[refute_0_8847,refute_0_8848]) ).
cnf(refute_0_8850,plain,
( meet(X_346,skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,X_346)
| top != join(one,complement(meet(X_346,skolemFOFtoCNF_X0)))
| top = join(one,complement(meet(skolemFOFtoCNF_X0,X_346))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,complement(meet(X_346,skolemFOFtoCNF_X0)))) ),[1,1,0],$fot(meet(skolemFOFtoCNF_X0,X_346))]]) ).
cnf(refute_0_8851,plain,
( top != join(one,complement(meet(X_346,skolemFOFtoCNF_X0)))
| top = join(one,complement(meet(skolemFOFtoCNF_X0,X_346))) ),
inference(resolve,[$cnf( $equal(meet(X_346,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_346)) )],[refute_0_8849,refute_0_8850]) ).
cnf(refute_0_8852,plain,
top = join(one,complement(meet(skolemFOFtoCNF_X0,X_346))),
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(X_346,skolemFOFtoCNF_X0)))) )],[refute_0_8846,refute_0_8851]) ).
cnf(refute_0_8853,plain,
top = join(one,complement(meet(skolemFOFtoCNF_X0,X_347))),
inference(subst,[],[refute_0_8852:[bind(X_346,$fot(X_347))]]) ).
cnf(refute_0_8854,plain,
( top != join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))
| join(one,complement(meet(skolemFOFtoCNF_X0,X_347))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))))]]) ).
cnf(refute_0_8855,plain,
join(one,complement(meet(skolemFOFtoCNF_X0,X_347))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))) )],[refute_0_8853,refute_0_8854]) ).
cnf(refute_0_8856,plain,
( complement(one) != join(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))
| join(one,complement(meet(skolemFOFtoCNF_X0,X_347))) != top
| complement(one) = join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8857,plain,
( complement(one) != join(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))
| complement(one) = join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(skolemFOFtoCNF_X0,X_347))),top) )],[refute_0_8855,refute_0_8856]) ).
cnf(refute_0_8858,plain,
complement(one) = join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))) )],[refute_0_8773,refute_0_8857]) ).
cnf(refute_0_8859,plain,
join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))))]]) ).
cnf(refute_0_8860,plain,
join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))))]]) ).
cnf(refute_0_8861,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) != join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))
| join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8862,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))) )],[refute_0_8860,refute_0_8861]) ).
cnf(refute_0_8863,plain,
join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8862]) ).
cnf(refute_0_8864,plain,
( join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) != join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))
| join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) != meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))
| join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))))),bind(Y,$fot(join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))))),bind(Z,$fot(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))))]]) ).
cnf(refute_0_8865,plain,
( join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) != meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))
| join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))) )],[refute_0_8863,refute_0_8864]) ).
cnf(refute_0_8866,plain,
join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) )],[refute_0_8859,refute_0_8865]) ).
cnf(refute_0_8867,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))
| join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) != meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))
| complement(one) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) ),[0],$fot(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))))]]) ).
cnf(refute_0_8868,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))
| complement(one) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347)))) )],[refute_0_8866,refute_0_8867]) ).
cnf(refute_0_8869,plain,
complement(one) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_347))))) )],[refute_0_8858,refute_0_8868]) ).
cnf(refute_0_8870,plain,
complement(one) = meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459))),
inference(subst,[],[refute_0_8869:[bind(X_347,$fot(X_459))]]) ).
cnf(refute_0_8871,plain,
( complement(one) != meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))
| meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))))]]) ).
cnf(refute_0_8872,plain,
meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))) )],[refute_0_8870,refute_0_8871]) ).
cnf(refute_0_8873,plain,
( meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459))) != complement(one)
| top != join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))))
| top = join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_8874,plain,
( top != join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))))
| top = join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459))),complement(one)) )],[refute_0_8872,refute_0_8873]) ).
cnf(refute_0_8875,plain,
top = join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))),
inference(resolve,[$cnf( $equal(top,join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(meet(complement(one),complement(meet(skolemFOFtoCNF_X0,X_459)))))) )],[refute_0_8772,refute_0_8874]) ).
cnf(refute_0_8876,plain,
join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459))) = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(skolemFOFtoCNF_X0,X_459)))]]) ).
cnf(refute_0_8877,plain,
join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) = join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(complement(meet(skolemFOFtoCNF_X0,X_459)))),bind(X_20,$fot(complement(complement(one))))]]) ).
cnf(refute_0_8878,plain,
( join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459))) != complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459)))
| join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) != join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459)))
| join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))))),bind(Y,$fot(join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459))))),bind(Z,$fot(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459)))))]]) ).
cnf(refute_0_8879,plain,
( join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459))) != complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459)))
| join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))),join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459)))) )],[refute_0_8877,refute_0_8878]) ).
cnf(refute_0_8880,plain,
join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),complement(meet(skolemFOFtoCNF_X0,X_459))),complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459)))) )],[refute_0_8876,refute_0_8879]) ).
cnf(refute_0_8881,plain,
( join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))) != complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459)))
| top != join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one)))
| top = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one)))) ),[1],$fot(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))))]]) ).
cnf(refute_0_8882,plain,
( top != join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one)))
| top = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one))),complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459)))) )],[refute_0_8880,refute_0_8881]) ).
cnf(refute_0_8883,plain,
top = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_459))),
inference(resolve,[$cnf( $equal(top,join(complement(meet(skolemFOFtoCNF_X0,X_459)),complement(complement(one)))) )],[refute_0_8875,refute_0_8882]) ).
cnf(refute_0_8884,plain,
top = complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))),
inference(subst,[],[refute_0_8883:[bind(X_459,$fot(X_460))]]) ).
cnf(refute_0_8885,plain,
( top != complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)))
| complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)))))]]) ).
cnf(refute_0_8886,plain,
complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)))) )],[refute_0_8884,refute_0_8885]) ).
cnf(refute_0_8887,plain,
( complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))) != top
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) != complement(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))))
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)),complement(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8888,plain,
( meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) != complement(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))))
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))),top) )],[refute_0_8886,refute_0_8887]) ).
cnf(refute_0_8889,plain,
meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)),complement(complement(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460))))) )],[refute_0_8771,refute_0_8888]) ).
cnf(refute_0_8890,plain,
( complement(top) != zero
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) != complement(top)
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_8891,plain,
( meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) != complement(top)
| meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8890]) ).
cnf(refute_0_8892,plain,
meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_460)),complement(top)) )],[refute_0_8889,refute_0_8891]) ).
cnf(refute_0_8893,plain,
meet(complement(one),meet(skolemFOFtoCNF_X0,X_461)) = zero,
inference(subst,[],[refute_0_8892:[bind(X_460,$fot(X_461))]]) ).
cnf(refute_0_8894,plain,
meet(X_461,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_461),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_461)),bind(X_28,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8895,plain,
( meet(X_461,skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,X_461)
| meet(skolemFOFtoCNF_X0,X_461) = meet(X_461,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_461,skolemFOFtoCNF_X0))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,X_461)))]]) ).
cnf(refute_0_8896,plain,
meet(skolemFOFtoCNF_X0,X_461) = meet(X_461,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(X_461,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_461)) )],[refute_0_8894,refute_0_8895]) ).
cnf(refute_0_8897,plain,
( meet(complement(one),meet(skolemFOFtoCNF_X0,X_461)) != zero
| meet(skolemFOFtoCNF_X0,X_461) != meet(X_461,skolemFOFtoCNF_X0)
| meet(complement(one),meet(X_461,skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_461)),zero) ),[0,1],$fot(meet(X_461,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8898,plain,
( meet(complement(one),meet(skolemFOFtoCNF_X0,X_461)) != zero
| meet(complement(one),meet(X_461,skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_461),meet(X_461,skolemFOFtoCNF_X0)) )],[refute_0_8896,refute_0_8897]) ).
cnf(refute_0_8899,plain,
meet(complement(one),meet(X_461,skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),meet(skolemFOFtoCNF_X0,X_461)),zero) )],[refute_0_8893,refute_0_8898]) ).
cnf(refute_0_8900,plain,
meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)) = zero,
inference(subst,[],[refute_0_8899:[bind(X_461,$fot(X_369))]]) ).
cnf(refute_0_8901,plain,
join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8902,plain,
( join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) != join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))
| meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)) != zero
| join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_369),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8903,plain,
( meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)) != zero
| join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_369),zero) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))) )],[refute_0_8901,refute_0_8902]) ).
cnf(refute_0_8904,plain,
join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_369),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)),zero) )],[refute_0_8900,refute_0_8903]) ).
cnf(refute_0_8905,plain,
( join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) != join(meet(skolemFOFtoCNF_X0,X_369),zero)
| join(meet(skolemFOFtoCNF_X0,X_369),zero) != meet(skolemFOFtoCNF_X0,X_369)
| join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,X_369) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0,X_369),zero))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,X_369)))]]) ).
cnf(refute_0_8906,plain,
( join(meet(skolemFOFtoCNF_X0,X_369),zero) != meet(skolemFOFtoCNF_X0,X_369)
| join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,X_369) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X0,X_369),zero)) )],[refute_0_8904,refute_0_8905]) ).
cnf(refute_0_8907,plain,
join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,X_369),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_369),zero),meet(skolemFOFtoCNF_X0,X_369)) )],[refute_0_8770,refute_0_8906]) ).
cnf(refute_0_8908,plain,
( join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,X_369)
| meet(X_369,skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))
| meet(X_369,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_369) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_369,skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))) ),[1],$fot(meet(skolemFOFtoCNF_X0,X_369))]]) ).
cnf(refute_0_8909,plain,
( meet(X_369,skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))
| meet(X_369,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_369) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,X_369)) )],[refute_0_8907,refute_0_8908]) ).
cnf(refute_0_8910,plain,
meet(X_369,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_369),
inference(resolve,[$cnf( $equal(meet(X_369,skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X0,X_369),meet(complement(one),meet(X_369,skolemFOFtoCNF_X0)))) )],[refute_0_8765,refute_0_8909]) ).
cnf(refute_0_8911,plain,
meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_8910:[bind(X_369,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8912,plain,
meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8913,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_8914,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_8912,refute_0_8913]) ).
cnf(refute_0_8915,plain,
meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_8914]) ).
cnf(refute_0_8916,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8917,plain,
( meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_8915,refute_0_8916]) ).
cnf(refute_0_8918,plain,
meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_8911,refute_0_8917]) ).
cnf(refute_0_8919,plain,
complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) = meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(join(complement(converse(skolemFOFtoCNF_X0)),X2))),bind(X_350,$fot(complement(one)))]]) ).
cnf(refute_0_8920,plain,
complement(one) = join(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(join(complement(converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_8921,plain,
( complement(one) != join(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)) != top
| complement(one) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8922,plain,
( complement(one) != join(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| complement(one) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2)),top) )],[refute_0_7621,refute_0_8921]) ).
cnf(refute_0_8923,plain,
complement(one) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8920,refute_0_8922]) ).
cnf(refute_0_8924,plain,
join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8925,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8926,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) != join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8927,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8925,refute_0_8926]) ).
cnf(refute_0_8928,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8927]) ).
cnf(refute_0_8929,plain,
( join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) != join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))),bind(Y,$fot(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))),bind(Z,$fot(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8930,plain,
( join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8928,refute_0_8929]) ).
cnf(refute_0_8931,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_8924,refute_0_8930]) ).
cnf(refute_0_8932,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))
| complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),[0],$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8933,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_8931,refute_0_8932]) ).
cnf(refute_0_8934,plain,
complement(one) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8923,refute_0_8933]) ).
cnf(refute_0_8935,plain,
( complement(one) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8936,plain,
meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_8934,refute_0_8935]) ).
cnf(refute_0_8937,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)) != complement(one)
| complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) = meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_8938,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))
| complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) = meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(one)) )],[refute_0_8936,refute_0_8937]) ).
cnf(refute_0_8939,plain,
complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) = meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),X2))))) )],[refute_0_8919,refute_0_8938]) ).
cnf(refute_0_8940,plain,
complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) = meet(converse(skolemFOFtoCNF_X0),complement(X2)),
inference(subst,[],[refute_0_905:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X_31,$fot(X2))]]) ).
cnf(refute_0_8941,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))
| complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(converse(skolemFOFtoCNF_X0),complement(X2))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))) ),[0],$fot(meet(converse(skolemFOFtoCNF_X0),complement(X2)))]]) ).
cnf(refute_0_8942,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),meet(converse(skolemFOFtoCNF_X0),complement(X2))) )],[refute_0_8940,refute_0_8941]) ).
cnf(refute_0_8943,plain,
meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8944,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(converse(skolemFOFtoCNF_X0),complement(X2))
| meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))) ),[1,1],$fot(meet(converse(skolemFOFtoCNF_X0),complement(X2)))]]) ).
cnf(refute_0_8945,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(converse(skolemFOFtoCNF_X0),complement(X2))
| meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8943,refute_0_8944]) ).
cnf(refute_0_8946,plain,
meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),meet(converse(skolemFOFtoCNF_X0),complement(X2))) )],[refute_0_8940,refute_0_8945]) ).
cnf(refute_0_8947,plain,
meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8948,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8949,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8947,refute_0_8948]) ).
cnf(refute_0_8950,plain,
meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_8949]) ).
cnf(refute_0_8951,plain,
( meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))))),bind(Y,$fot(meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))))),bind(Z,$fot(meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))))]]) ).
cnf(refute_0_8952,plain,
( meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8950,refute_0_8951]) ).
cnf(refute_0_8953,plain,
meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))) )],[refute_0_8946,refute_0_8952]) ).
cnf(refute_0_8954,plain,
meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) = meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(one)))),bind(X_28,$fot(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_8955,plain,
( meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) != meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))
| meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))))),bind(Z,$fot(meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))))]]) ).
cnf(refute_0_8956,plain,
( meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))),meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)))) )],[refute_0_8954,refute_0_8955]) ).
cnf(refute_0_8957,plain,
meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(join(complement(converse(skolemFOFtoCNF_X0)),X2))),meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))) )],[refute_0_8953,refute_0_8956]) ).
cnf(refute_0_8958,plain,
( meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(X2)),meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))) ),[1],$fot(meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))))]]) ).
cnf(refute_0_8959,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one))),meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))) )],[refute_0_8957,refute_0_8958]) ).
cnf(refute_0_8960,plain,
( complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)) != meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(X2)),meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))) )],[refute_0_8942,refute_0_8959]) ).
cnf(refute_0_8961,plain,
meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),meet(complement(join(complement(converse(skolemFOFtoCNF_X0)),X2)),complement(complement(one)))) )],[refute_0_8939,refute_0_8960]) ).
cnf(refute_0_8962,plain,
complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),bind(X_350,$fot(complement(one)))]]) ).
cnf(refute_0_8963,plain,
complement(one) = join(complement(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(one)),bind(X_96,$fot(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8964,plain,
( top != join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8965,plain,
join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8404,refute_0_8964]) ).
cnf(refute_0_8966,plain,
( complement(one) != join(complement(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != top
| complement(one) = join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8967,plain,
( complement(one) != join(complement(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| complement(one) = join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_8965,refute_0_8966]) ).
cnf(refute_0_8968,plain,
complement(one) = join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8963,refute_0_8967]) ).
cnf(refute_0_8969,plain,
join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8970,plain,
join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8971,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8972,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8970,refute_0_8971]) ).
cnf(refute_0_8973,plain,
join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8972]) ).
cnf(refute_0_8974,plain,
( join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8975,plain,
( join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8973,refute_0_8974]) ).
cnf(refute_0_8976,plain,
join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8969,refute_0_8975]) ).
cnf(refute_0_8977,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8978,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8976,refute_0_8977]) ).
cnf(refute_0_8979,plain,
complement(one) = meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8968,refute_0_8978]) ).
cnf(refute_0_8980,plain,
( complement(one) != meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))
| meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8981,plain,
meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) )],[refute_0_8979,refute_0_8980]) ).
cnf(refute_0_8982,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))
| meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != complement(one)
| complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_8983,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))
| complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_8981,refute_0_8982]) ).
cnf(refute_0_8984,plain,
complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(meet(complement(one),complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8962,refute_0_8983]) ).
cnf(refute_0_8985,plain,
complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) = meet(X_353,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(meet(X_353,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8986,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(X_353,converse(skolemFOFtoCNF_X0))
| complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))
| meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))) ),[0],$fot(meet(X_353,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8987,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))
| meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) ),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),meet(X_353,converse(skolemFOFtoCNF_X0))) )],[refute_0_8985,refute_0_8986]) ).
cnf(refute_0_8988,plain,
meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8989,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(X_353,converse(skolemFOFtoCNF_X0))
| meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(X_353,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8990,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(X_353,converse(skolemFOFtoCNF_X0))
| meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8988,refute_0_8989]) ).
cnf(refute_0_8991,plain,
meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),meet(X_353,converse(skolemFOFtoCNF_X0))) )],[refute_0_8985,refute_0_8990]) ).
cnf(refute_0_8992,plain,
meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8993,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_8994,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8992,refute_0_8993]) ).
cnf(refute_0_8995,plain,
meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_4265,refute_0_8994]) ).
cnf(refute_0_8996,plain,
( meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8997,plain,
( meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8995,refute_0_8996]) ).
cnf(refute_0_8998,plain,
meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8991,refute_0_8997]) ).
cnf(refute_0_8999,plain,
meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) = meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(one)))),bind(X_28,$fot(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9000,plain,
( meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) != meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9001,plain,
( meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))) != meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))),meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8999,refute_0_9000]) ).
cnf(refute_0_9002,plain,
meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0))))),meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8998,refute_0_9001]) ).
cnf(refute_0_9003,plain,
( meet(X_353,converse(skolemFOFtoCNF_X0)) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))
| meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))) != meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))
| meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_353,converse(skolemFOFtoCNF_X0)),meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))))]]) ).
cnf(refute_0_9004,plain,
( meet(X_353,converse(skolemFOFtoCNF_X0)) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))
| meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one))),meet(one,meet(X_353,converse(skolemFOFtoCNF_X0)))) )],[refute_0_9002,refute_0_9003]) ).
cnf(refute_0_9005,plain,
( complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))
| meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(X_353,converse(skolemFOFtoCNF_X0)),meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))) )],[refute_0_8987,refute_0_9004]) ).
cnf(refute_0_9006,plain,
meet(X_353,converse(skolemFOFtoCNF_X0)) = meet(one,meet(X_353,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(X_353,converse(skolemFOFtoCNF_X0)))),complement(complement(one)))) )],[refute_0_8984,refute_0_9005]) ).
cnf(refute_0_9007,plain,
meet(X_366,converse(skolemFOFtoCNF_X0)) = meet(one,meet(X_366,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9006:[bind(X_353,$fot(X_366))]]) ).
cnf(refute_0_9008,plain,
meet(converse(skolemFOFtoCNF_X0),X_366) = meet(X_366,converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(converse(skolemFOFtoCNF_X0))),bind(X_28,$fot(X_366))]]) ).
cnf(refute_0_9009,plain,
( meet(converse(skolemFOFtoCNF_X0),X_366) != meet(X_366,converse(skolemFOFtoCNF_X0))
| meet(X_366,converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),X_366) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),X_366))),bind(Y,$fot(meet(X_366,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9010,plain,
meet(X_366,converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),X_366),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),X_366),meet(X_366,converse(skolemFOFtoCNF_X0))) )],[refute_0_9008,refute_0_9009]) ).
cnf(refute_0_9011,plain,
( meet(X_366,converse(skolemFOFtoCNF_X0)) != meet(converse(skolemFOFtoCNF_X0),X_366)
| meet(X_366,converse(skolemFOFtoCNF_X0)) != meet(one,meet(X_366,converse(skolemFOFtoCNF_X0)))
| meet(X_366,converse(skolemFOFtoCNF_X0)) = meet(one,meet(converse(skolemFOFtoCNF_X0),X_366)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_366,converse(skolemFOFtoCNF_X0)),meet(one,meet(X_366,converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(converse(skolemFOFtoCNF_X0),X_366))]]) ).
cnf(refute_0_9012,plain,
( meet(X_366,converse(skolemFOFtoCNF_X0)) != meet(one,meet(X_366,converse(skolemFOFtoCNF_X0)))
| meet(X_366,converse(skolemFOFtoCNF_X0)) = meet(one,meet(converse(skolemFOFtoCNF_X0),X_366)) ),
inference(resolve,[$cnf( $equal(meet(X_366,converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),X_366)) )],[refute_0_9010,refute_0_9011]) ).
cnf(refute_0_9013,plain,
meet(X_366,converse(skolemFOFtoCNF_X0)) = meet(one,meet(converse(skolemFOFtoCNF_X0),X_366)),
inference(resolve,[$cnf( $equal(meet(X_366,converse(skolemFOFtoCNF_X0)),meet(one,meet(X_366,converse(skolemFOFtoCNF_X0)))) )],[refute_0_9007,refute_0_9012]) ).
cnf(refute_0_9014,plain,
( meet(X_366,converse(skolemFOFtoCNF_X0)) != meet(one,meet(converse(skolemFOFtoCNF_X0),X_366))
| meet(one,meet(converse(skolemFOFtoCNF_X0),X_366)) = meet(X_366,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_366,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,meet(converse(skolemFOFtoCNF_X0),X_366))))]]) ).
cnf(refute_0_9015,plain,
meet(one,meet(converse(skolemFOFtoCNF_X0),X_366)) = meet(X_366,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(X_366,converse(skolemFOFtoCNF_X0)),meet(one,meet(converse(skolemFOFtoCNF_X0),X_366))) )],[refute_0_9013,refute_0_9014]) ).
cnf(refute_0_9016,plain,
meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) = meet(complement(X2),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9015:[bind(X_366,$fot(complement(X2)))]]) ).
cnf(refute_0_9017,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(X2)) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))) != meet(complement(X2),converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(complement(X2),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(converse(skolemFOFtoCNF_X0),complement(X2)),meet(complement(X2),converse(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))))]]) ).
cnf(refute_0_9018,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(X2)) != meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))
| meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(complement(X2),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2))),meet(complement(X2),converse(skolemFOFtoCNF_X0))) )],[refute_0_9016,refute_0_9017]) ).
cnf(refute_0_9019,plain,
meet(converse(skolemFOFtoCNF_X0),complement(X2)) = meet(complement(X2),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(X2)),meet(one,meet(converse(skolemFOFtoCNF_X0),complement(X2)))) )],[refute_0_8961,refute_0_9018]) ).
cnf(refute_0_9020,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(X2)) != meet(complement(X2),converse(skolemFOFtoCNF_X0))
| meet(complement(X2),converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),complement(X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),complement(X2)))),bind(Y,$fot(meet(complement(X2),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9021,plain,
meet(complement(X2),converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),complement(X2)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(X2)),meet(complement(X2),converse(skolemFOFtoCNF_X0))) )],[refute_0_9019,refute_0_9020]) ).
cnf(refute_0_9022,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9021:[bind(X2,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9023,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9024,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_9022,refute_0_9023]) ).
cnf(refute_0_9025,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_8918,refute_0_9024]) ).
cnf(refute_0_9026,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9027,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9028,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_9026,refute_0_9027]) ).
cnf(refute_0_9029,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_9025,refute_0_9028]) ).
cnf(refute_0_9030,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9031,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9032,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_9030,refute_0_9031]) ).
cnf(refute_0_9033,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9032]) ).
cnf(refute_0_9034,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9035,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_9033,refute_0_9034]) ).
cnf(refute_0_9036,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_9029,refute_0_9035]) ).
cnf(refute_0_9037,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9038,plain,
( join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_9036,refute_0_9037]) ).
cnf(refute_0_9039,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_8679,refute_0_9038]) ).
cnf(refute_0_9040,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) ),[1],$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9041,plain,
( skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_9039,refute_0_9040]) ).
cnf(refute_0_9042,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_8678,refute_0_9041]) ).
cnf(refute_0_9043,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)))) )],[refute_0_8676,refute_0_9042]) ).
cnf(refute_0_9044,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9045,plain,
meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_9043,refute_0_9044]) ).
cnf(refute_0_9046,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9047,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_9045,refute_0_9046]) ).
cnf(refute_0_9048,plain,
converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8672,refute_0_9047]) ).
cnf(refute_0_9049,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9050,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_4207,refute_0_9049]) ).
cnf(refute_0_9051,plain,
converse(skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_9048,refute_0_9050]) ).
cnf(refute_0_9052,plain,
( converse(skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9053,plain,
join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) )],[refute_0_9051,refute_0_9052]) ).
cnf(refute_0_9054,plain,
complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9055,plain,
( complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9056,plain,
( join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_9054,refute_0_9055]) ).
cnf(refute_0_9057,plain,
complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_9053,refute_0_9056]) ).
cnf(refute_0_9058,plain,
composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9059,plain,
( complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))
| composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9060,plain,
( complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) )],[refute_0_9058,refute_0_9059]) ).
cnf(refute_0_9061,plain,
composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_9057,refute_0_9060]) ).
cnf(refute_0_9062,plain,
complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9063,plain,
( complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9064,plain,
( composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9062,refute_0_9063]) ).
cnf(refute_0_9065,plain,
complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_9061,refute_0_9064]) ).
cnf(refute_0_9066,plain,
join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9067,plain,
( complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9068,plain,
( complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) )],[refute_0_9066,refute_0_9067]) ).
cnf(refute_0_9069,plain,
join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9065,refute_0_9068]) ).
cnf(refute_0_9070,plain,
( join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9071,plain,
( join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9069,refute_0_9070]) ).
cnf(refute_0_9072,plain,
join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) )],[refute_0_8671,refute_0_9071]) ).
cnf(refute_0_9073,plain,
join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_9074,plain,
( join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_6,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9075,plain,
( join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_6,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_9073,refute_0_9074]) ).
cnf(refute_0_9076,plain,
join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) = join(X_6,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) )],[refute_0_9072,refute_0_9075]) ).
cnf(refute_0_9077,plain,
converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_9078,plain,
( converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))
| join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_6,skolemFOFtoCNF_X0)
| converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(X_6,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(join(X_6,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9079,plain,
( join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))) != join(X_6,skolemFOFtoCNF_X0)
| converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(X_6,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_9077,refute_0_9078]) ).
cnf(refute_0_9080,plain,
converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) = converse(join(X_6,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))),join(X_6,skolemFOFtoCNF_X0)) )],[refute_0_9076,refute_0_9079]) ).
cnf(refute_0_9081,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_9082,plain,
( converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(X_6,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(converse(join(X_6,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9083,plain,
( converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))) != converse(join(X_6,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_9081,refute_0_9082]) ).
cnf(refute_0_9084,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))))))),converse(join(X_6,skolemFOFtoCNF_X0))) )],[refute_0_9080,refute_0_9083]) ).
cnf(refute_0_9085,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9086,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0)))) )],[refute_0_9084,refute_0_9085]) ).
cnf(refute_0_9087,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,join(skolemFOFtoCNF_X0,complement(composition(top,complement(join(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_7438,refute_0_9086]) ).
cnf(refute_0_9088,plain,
( join(X_256,X_258) != join(X_258,join(X_256,X_258))
| join(X_258,join(X_256,X_258)) = join(X_256,X_258) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_256,X_258))),bind(Y,$fot(join(X_258,join(X_256,X_258))))]]) ).
cnf(refute_0_9089,plain,
join(X_258,join(X_256,X_258)) = join(X_256,X_258),
inference(resolve,[$cnf( $equal(join(X_256,X_258),join(X_258,join(X_256,X_258))) )],[refute_0_1781,refute_0_9088]) ).
cnf(refute_0_9090,plain,
join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)) = join(X_6,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_9089:[bind(X_256,$fot(X_6)),bind(X_258,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9091,plain,
converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9092,plain,
( converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) != converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)) != join(X_6,skolemFOFtoCNF_X0)
| converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) = converse(join(X_6,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))) ),[1,0],$fot(join(X_6,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9093,plain,
( join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)) != join(X_6,skolemFOFtoCNF_X0)
| converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) = converse(join(X_6,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))) )],[refute_0_9091,refute_0_9092]) ).
cnf(refute_0_9094,plain,
converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) = converse(join(X_6,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)),join(X_6,skolemFOFtoCNF_X0)) )],[refute_0_9090,refute_0_9093]) ).
cnf(refute_0_9095,plain,
converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(X_6,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9096,plain,
converse(join(X_4,converse(skolemFOFtoCNF_X0))) = join(converse(X_4),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_400:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9097,plain,
( converse(join(X_4,converse(skolemFOFtoCNF_X0))) != join(converse(X_4),skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| converse(join(X_4,skolemFOFtoCNF_X0)) = join(converse(X_4),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(skolemFOFtoCNF_X0))),join(converse(X_4),skolemFOFtoCNF_X0)) ),[0,0,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9098,plain,
( converse(join(X_4,converse(skolemFOFtoCNF_X0))) != join(converse(X_4),skolemFOFtoCNF_X0)
| converse(join(X_4,skolemFOFtoCNF_X0)) = join(converse(X_4),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_9097]) ).
cnf(refute_0_9099,plain,
converse(join(X_4,skolemFOFtoCNF_X0)) = join(converse(X_4),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(skolemFOFtoCNF_X0))),join(converse(X_4),skolemFOFtoCNF_X0)) )],[refute_0_9096,refute_0_9098]) ).
cnf(refute_0_9100,plain,
join(converse(X_4),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(X_4)),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(converse(X_4)))]]) ).
cnf(refute_0_9101,plain,
( converse(join(X_4,skolemFOFtoCNF_X0)) != join(converse(X_4),skolemFOFtoCNF_X0)
| join(converse(X_4),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(X_4))
| converse(join(X_4,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_4,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,converse(X_4))) ),[0],$fot(join(converse(X_4),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9102,plain,
( converse(join(X_4,skolemFOFtoCNF_X0)) != join(converse(X_4),skolemFOFtoCNF_X0)
| converse(join(X_4,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(X_4)) ),
inference(resolve,[$cnf( $equal(join(converse(X_4),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(X_4))) )],[refute_0_9100,refute_0_9101]) ).
cnf(refute_0_9103,plain,
converse(join(X_4,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(join(X_4,skolemFOFtoCNF_X0)),join(converse(X_4),skolemFOFtoCNF_X0)) )],[refute_0_9099,refute_0_9102]) ).
cnf(refute_0_9104,plain,
( converse(join(X_4,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,converse(X_4))
| join(skolemFOFtoCNF_X0,converse(X_4)) = converse(join(X_4,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_4,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(X_4))))]]) ).
cnf(refute_0_9105,plain,
join(skolemFOFtoCNF_X0,converse(X_4)) = converse(join(X_4,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(X_4,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,converse(X_4))) )],[refute_0_9103,refute_0_9104]) ).
cnf(refute_0_9106,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9105:[bind(X_4,$fot(join(X_6,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9107,plain,
( converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) != converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9108,plain,
( converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))),converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_9106,refute_0_9107]) ).
cnf(refute_0_9109,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(join(X_6,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))) )],[refute_0_9095,refute_0_9108]) ).
cnf(refute_0_9110,plain,
( converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) != converse(join(X_6,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) != converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(X_6,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(join(X_6,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9111,plain,
( converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))) != converse(join(X_6,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(X_6,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0)))) )],[refute_0_9109,refute_0_9110]) ).
cnf(refute_0_9112,plain,
join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) = converse(join(X_6,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(X_6,skolemFOFtoCNF_X0))),converse(join(X_6,skolemFOFtoCNF_X0))) )],[refute_0_9094,refute_0_9111]) ).
cnf(refute_0_9113,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) != converse(join(X_6,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| converse(join(X_6,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) ),[0],$fot(converse(join(X_6,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9114,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| converse(join(X_6,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))),converse(join(X_6,skolemFOFtoCNF_X0))) )],[refute_0_9112,refute_0_9113]) ).
cnf(refute_0_9115,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)) = join(skolemFOFtoCNF_X0,X_6),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_133,$fot(X_6))]]) ).
cnf(refute_0_9116,plain,
converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))),
introduced(tautology,[refl,[$fot(converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))))]]) ).
cnf(refute_0_9117,plain,
( converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) != converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)) != join(skolemFOFtoCNF_X0,X_6)
| converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))),converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,X_6))]]) ).
cnf(refute_0_9118,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)) != join(skolemFOFtoCNF_X0,X_6)
| converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))),converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_9116,refute_0_9117]) ).
cnf(refute_0_9119,plain,
converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,X_6)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)),join(skolemFOFtoCNF_X0,X_6)) )],[refute_0_9115,refute_0_9118]) ).
cnf(refute_0_9120,plain,
converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(skolemFOFtoCNF_X0,X_6)))]]) ).
cnf(refute_0_9121,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9105:[bind(X_4,$fot(join(skolemFOFtoCNF_X0,X_6)))]]) ).
cnf(refute_0_9122,plain,
( converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) != converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))))),bind(Y,$fot(converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))))]]) ).
cnf(refute_0_9123,plain,
( converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0))) )],[refute_0_9121,refute_0_9122]) ).
cnf(refute_0_9124,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))),
inference(resolve,[$cnf( $equal(converse(join(join(skolemFOFtoCNF_X0,X_6),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_9120,refute_0_9123]) ).
cnf(refute_0_9125,plain,
( converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) != converse(join(skolemFOFtoCNF_X0,X_6))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) != converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,X_6))))]]) ).
cnf(refute_0_9126,plain,
( converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))) != converse(join(skolemFOFtoCNF_X0,X_6))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_9124,refute_0_9125]) ).
cnf(refute_0_9127,plain,
join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) = converse(join(skolemFOFtoCNF_X0,X_6)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X_6))),converse(join(skolemFOFtoCNF_X0,X_6))) )],[refute_0_9119,refute_0_9126]) ).
cnf(refute_0_9128,plain,
( converse(join(X_6,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))) != converse(join(skolemFOFtoCNF_X0,X_6))
| converse(join(X_6,skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_6,skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,X_6))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))))]]) ).
cnf(refute_0_9129,plain,
( converse(join(X_6,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| converse(join(X_6,skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6))),converse(join(skolemFOFtoCNF_X0,X_6))) )],[refute_0_9127,refute_0_9128]) ).
cnf(refute_0_9130,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))
| converse(join(X_6,skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,X_6)) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_9114,refute_0_9129]) ).
cnf(refute_0_9131,plain,
converse(join(X_6,skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,X_6)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_6,skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(join(skolemFOFtoCNF_X0,X_6)))) )],[refute_0_9087,refute_0_9130]) ).
cnf(refute_0_9132,plain,
converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9131:[bind(X_6,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9133,plain,
join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9105:[bind(X_4,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9134,plain,
( converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9135,plain,
( converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_9133,refute_0_9134]) ).
cnf(refute_0_9136,plain,
join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9132,refute_0_9135]) ).
cnf(refute_0_9137,plain,
( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9138,plain,
( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9136,refute_0_9137]) ).
cnf(refute_0_9139,plain,
join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_7146,refute_0_9138]) ).
cnf(refute_0_9140,plain,
complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9141,plain,
( complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9142,plain,
( join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9140,refute_0_9141]) ).
cnf(refute_0_9143,plain,
complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_9139,refute_0_9142]) ).
cnf(refute_0_9144,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9145,plain,
( complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9146,plain,
( complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9144,refute_0_9145]) ).
cnf(refute_0_9147,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_9143,refute_0_9146]) ).
cnf(refute_0_9148,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9149,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_9147,refute_0_9148]) ).
cnf(refute_0_9150,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6966,refute_0_9149]) ).
cnf(refute_0_9151,plain,
join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) = join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6243:[bind(X_307,$fot(X_500))]]) ).
cnf(refute_0_9152,plain,
join(skolemFOFtoCNF_X0,X_500) = join(X_500,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_49:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_500))]]) ).
cnf(refute_0_9153,plain,
( join(skolemFOFtoCNF_X0,X_500) != join(X_500,skolemFOFtoCNF_X0)
| join(X_500,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_500) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_500))),bind(Y,$fot(join(X_500,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9154,plain,
join(X_500,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_500),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_500),join(X_500,skolemFOFtoCNF_X0)) )],[refute_0_9152,refute_0_9153]) ).
cnf(refute_0_9155,plain,
( join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) != join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))
| join(X_500,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_500)
| join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) = join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))),join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))) ),[0,1,0],$fot(join(skolemFOFtoCNF_X0,X_500))]]) ).
cnf(refute_0_9156,plain,
( join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) != join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))
| join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) = join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(X_500,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_500)) )],[refute_0_9154,refute_0_9155]) ).
cnf(refute_0_9157,plain,
join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) = join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))),join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))) )],[refute_0_9151,refute_0_9156]) ).
cnf(refute_0_9158,plain,
( join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) != join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))
| join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) = join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9159,plain,
join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0)))) = join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))),join(complement(one),join(X_307,complement(join(X_307,skolemFOFtoCNF_X0))))) )],[refute_0_6243,refute_0_9158]) ).
cnf(refute_0_9160,plain,
join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) = join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9159:[bind(X_307,$fot(X_500))]]) ).
cnf(refute_0_9161,plain,
( join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) != join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))
| join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) != join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))
| join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) = join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9162,plain,
( join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) != join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))
| join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) = join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) )],[refute_0_9160,refute_0_9161]) ).
cnf(refute_0_9163,plain,
join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) = join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))),join(complement(one),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))))) )],[refute_0_9157,refute_0_9162]) ).
cnf(refute_0_9164,plain,
( join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) != join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))
| join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) = join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))))),bind(Y,$fot(join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9165,plain,
join(X_500,complement(join(X_500,skolemFOFtoCNF_X0))) = join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))),
inference(resolve,[$cnf( $equal(join(X_500,complement(join(skolemFOFtoCNF_X0,X_500))),join(X_500,complement(join(X_500,skolemFOFtoCNF_X0)))) )],[refute_0_9163,refute_0_9164]) ).
cnf(refute_0_9166,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_9165:[bind(X_500,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9167,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9168,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9166,refute_0_9167]) ).
cnf(refute_0_9169,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9150,refute_0_9168]) ).
cnf(refute_0_9170,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[0],$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9171,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9169,refute_0_9170]) ).
cnf(refute_0_9172,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9173,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9174,plain,
( join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9172,refute_0_9173]) ).
cnf(refute_0_9175,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9136,refute_0_9174]) ).
cnf(refute_0_9176,plain,
( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9177,plain,
( converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9175,refute_0_9176]) ).
cnf(refute_0_9178,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_7146,refute_0_9177]) ).
cnf(refute_0_9179,plain,
meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9180,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(top,skolemFOFtoCNF_X0)
| meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(one,composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),[1,1],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9181,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != composition(top,skolemFOFtoCNF_X0)
| meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(one,composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_9179,refute_0_9180]) ).
cnf(refute_0_9182,plain,
meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(one,composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_9178,refute_0_9181]) ).
cnf(refute_0_9183,plain,
complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9184,plain,
( complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(one,composition(top,skolemFOFtoCNF_X0))
| complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(one,composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9185,plain,
( meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(one,composition(top,skolemFOFtoCNF_X0))
| complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_9183,refute_0_9184]) ).
cnf(refute_0_9186,plain,
complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(one,composition(top,skolemFOFtoCNF_X0))) )],[refute_0_9182,refute_0_9185]) ).
cnf(refute_0_9187,plain,
join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9188,plain,
( complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(meet(one,composition(top,skolemFOFtoCNF_X0)))
| join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9189,plain,
( complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(meet(one,composition(top,skolemFOFtoCNF_X0)))
| join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_9187,refute_0_9188]) ).
cnf(refute_0_9190,plain,
join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(one,join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_9186,refute_0_9189]) ).
cnf(refute_0_9191,plain,
( converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != complement(meet(one,composition(top,skolemFOFtoCNF_X0)))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9192,plain,
( converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_9190,refute_0_9191]) ).
cnf(refute_0_9193,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_9171,refute_0_9192]) ).
cnf(refute_0_9194,plain,
converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(one),complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6948,refute_0_9193]) ).
cnf(refute_0_9195,plain,
( converse(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(meet(one,composition(top,skolemFOFtoCNF_X0)))
| converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0,0],$fot(complement(meet(one,composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9196,plain,
( converse(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_9194,refute_0_9195]) ).
cnf(refute_0_9197,plain,
converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6154,refute_0_9196]) ).
cnf(refute_0_9198,plain,
converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(complement(one),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_1541:[bind(X_4,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_9199,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(complement(one),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(complement(one),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) ),[1,1],$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9200,plain,
( converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(complement(one),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_3372,refute_0_9199]) ).
cnf(refute_0_9201,plain,
converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) = join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(complement(one),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) )],[refute_0_9198,refute_0_9200]) ).
cnf(refute_0_9202,plain,
converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) = converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_6926:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_9203,plain,
( converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) != converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_9204,plain,
( converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))),converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) )],[refute_0_9202,refute_0_9203]) ).
cnf(refute_0_9205,plain,
join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9206,plain,
( converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9207,plain,
( converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9205,refute_0_9206]) ).
cnf(refute_0_9208,plain,
( converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))) != join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9204,refute_0_9207]) ).
cnf(refute_0_9209,plain,
converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(one))),join(complement(one),complement(converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9201,refute_0_9208]) ).
cnf(refute_0_9210,plain,
converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(meet(one,composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9211,plain,
join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))) = complement(meet(one,composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9212,plain,
converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9213,plain,
( converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) != converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))))
| join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))) != complement(meet(one,composition(top,skolemFOFtoCNF_X0)))
| converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(meet(one,composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9214,plain,
( join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))) != complement(meet(one,composition(top,skolemFOFtoCNF_X0)))
| converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))),converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9212,refute_0_9213]) ).
cnf(refute_0_9215,plain,
converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))),complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_9211,refute_0_9214]) ).
cnf(refute_0_9216,plain,
( converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9217,plain,
( converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))),converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9215,refute_0_9216]) ).
cnf(refute_0_9218,plain,
converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))),complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9210,refute_0_9217]) ).
cnf(refute_0_9219,plain,
converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3399:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_9220,plain,
( converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))),bind(Y,$fot(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9221,plain,
( converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))) != complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9219,refute_0_9220]) ).
cnf(refute_0_9222,plain,
converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(top,skolemFOFtoCNF_X0)))),complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9218,refute_0_9221]) ).
cnf(refute_0_9223,plain,
( converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9224,plain,
( converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) != complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9222,refute_0_9223]) ).
cnf(refute_0_9225,plain,
complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),composition(complement(composition(top,skolemFOFtoCNF_X0)),join(one,complement(converse(composition(top,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9209,refute_0_9224]) ).
cnf(refute_0_9226,plain,
meet(one,converse(composition(top,skolemFOFtoCNF_X0))) = meet(one,converse(composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9227,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| meet(one,converse(composition(top,skolemFOFtoCNF_X0))) != meet(one,converse(composition(top,skolemFOFtoCNF_X0)))
| meet(one,converse(composition(top,skolemFOFtoCNF_X0))) = meet(one,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(composition(top,skolemFOFtoCNF_X0))),meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9228,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| meet(one,converse(composition(top,skolemFOFtoCNF_X0))) = meet(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(top,skolemFOFtoCNF_X0))),meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_9226,refute_0_9227]) ).
cnf(refute_0_9229,plain,
meet(one,converse(composition(top,skolemFOFtoCNF_X0))) = meet(one,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5513,refute_0_9228]) ).
cnf(refute_0_9230,plain,
complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9231,plain,
( complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))
| meet(one,converse(composition(top,skolemFOFtoCNF_X0))) != meet(one,composition(skolemFOFtoCNF_X0,top))
| complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(one,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9232,plain,
( meet(one,converse(composition(top,skolemFOFtoCNF_X0))) != meet(one,composition(skolemFOFtoCNF_X0,top))
| complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9230,refute_0_9231]) ).
cnf(refute_0_9233,plain,
complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(top,skolemFOFtoCNF_X0))),meet(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9229,refute_0_9232]) ).
cnf(refute_0_9234,plain,
( complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))
| complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9235,plain,
( complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))
| complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9233,refute_0_9234]) ).
cnf(refute_0_9236,plain,
complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,converse(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9225,refute_0_9235]) ).
cnf(refute_0_9237,plain,
( complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))
| converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9238,plain,
( complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))),complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9210,refute_0_9237]) ).
cnf(refute_0_9239,plain,
converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9236,refute_0_9238]) ).
cnf(refute_0_9240,plain,
( converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9241,plain,
( converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9239,refute_0_9240]) ).
cnf(refute_0_9242,plain,
complement(meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(top,skolemFOFtoCNF_X0)))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9197,refute_0_9241]) ).
cnf(refute_0_9243,plain,
( complement(meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9244,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9242,refute_0_9243]) ).
cnf(refute_0_9245,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| complement(complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),join(complement(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9246,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| complement(complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9244,refute_0_9245]) ).
cnf(refute_0_9247,plain,
complement(complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),join(complement(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6153,refute_0_9246]) ).
cnf(refute_0_9248,plain,
complement(complement(composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,top),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9249,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| complement(complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9250,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9248,refute_0_9249]) ).
cnf(refute_0_9251,plain,
meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_28,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9252,plain,
meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9253,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9254,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9252,refute_0_9253]) ).
cnf(refute_0_9255,plain,
meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9248,refute_0_9254]) ).
cnf(refute_0_9256,plain,
( meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9257,plain,
( meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9255,refute_0_9256]) ).
cnf(refute_0_9258,plain,
meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9251,refute_0_9257]) ).
cnf(refute_0_9259,plain,
meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(X_28,$fot(complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9260,plain,
( meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9261,plain,
( meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9259,refute_0_9260]) ).
cnf(refute_0_9262,plain,
meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,top)))),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9258,refute_0_9261]) ).
cnf(refute_0_9263,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9264,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9265,plain,
( meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9263,refute_0_9264]) ).
cnf(refute_0_9266,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9262,refute_0_9265]) ).
cnf(refute_0_9267,plain,
complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = meet(one,composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9268,plain,
join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9269,plain,
( complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) != meet(one,composition(skolemFOFtoCNF_X0,top))
| join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(one,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9270,plain,
( complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) != meet(one,composition(skolemFOFtoCNF_X0,top))
| join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9268,refute_0_9269]) ).
cnf(refute_0_9271,plain,
join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9267,refute_0_9270]) ).
cnf(refute_0_9272,plain,
( join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9273,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9271,refute_0_9272]) ).
cnf(refute_0_9274,plain,
join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9266,refute_0_9273]) ).
cnf(refute_0_9275,plain,
( composition(skolemFOFtoCNF_X0,top) != join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,top),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9276,plain,
( composition(skolemFOFtoCNF_X0,top) != join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9274,refute_0_9275]) ).
cnf(refute_0_9277,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9250,refute_0_9276]) ).
cnf(refute_0_9278,plain,
composition(skolemFOFtoCNF_X0,top) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),join(complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9247,refute_0_9277]) ).
cnf(refute_0_9279,plain,
meet(one,composition(skolemFOFtoCNF_X0,top)) = complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9280,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_96,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9281,plain,
complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_350,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9282,plain,
complement(complement(converse(X1))) = join(complement(join(complement(converse(X1)),converse(join(X1,X_223)))),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(complement(converse(X1)))),bind(X_96,$fot(converse(join(X1,X_223))))]]) ).
cnf(refute_0_9283,plain,
( complement(complement(converse(X1))) != join(complement(join(complement(converse(X1)),converse(join(X1,X_223)))),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| join(complement(converse(X1)),converse(join(X1,X_223))) != top
| complement(complement(converse(X1))) = join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(X1))),join(complement(join(complement(converse(X1)),converse(join(X1,X_223)))),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_9284,plain,
( complement(complement(converse(X1))) != join(complement(join(complement(converse(X1)),converse(join(X1,X_223)))),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| complement(complement(converse(X1))) = join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X1)),converse(join(X1,X_223))),top) )],[refute_0_1377,refute_0_9283]) ).
cnf(refute_0_9285,plain,
complement(complement(converse(X1))) = join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(X1))),join(complement(join(complement(converse(X1)),converse(join(X1,X_223)))),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) )],[refute_0_9282,refute_0_9284]) ).
cnf(refute_0_9286,plain,
complement(complement(converse(X1))) = converse(X1),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_0_9287,plain,
( complement(complement(converse(X1))) != converse(X1)
| complement(complement(converse(X1))) != join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| converse(X1) = join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(X1))),join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) ),[0],$fot(converse(X1))]]) ).
cnf(refute_0_9288,plain,
( complement(complement(converse(X1))) != join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| converse(X1) = join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(X1))),converse(X1)) )],[refute_0_9286,refute_0_9287]) ).
cnf(refute_0_9289,plain,
join(zero,meet(converse(X1),converse(join(X1,X_223)))) = meet(converse(X1),converse(join(X1,X_223))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(converse(X1),converse(join(X1,X_223)))))]]) ).
cnf(refute_0_9290,plain,
meet(complement(complement(converse(X1))),converse(join(X1,X_223))) = meet(complement(complement(converse(X1))),converse(join(X1,X_223))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(X1))),converse(join(X1,X_223))))]]) ).
cnf(refute_0_9291,plain,
( complement(complement(converse(X1))) != converse(X1)
| meet(complement(complement(converse(X1))),converse(join(X1,X_223))) != meet(complement(complement(converse(X1))),converse(join(X1,X_223)))
| meet(complement(complement(converse(X1))),converse(join(X1,X_223))) = meet(converse(X1),converse(join(X1,X_223))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(X1))),converse(join(X1,X_223))),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),[1,0],$fot(converse(X1))]]) ).
cnf(refute_0_9292,plain,
( complement(complement(converse(X1))) != converse(X1)
| meet(complement(complement(converse(X1))),converse(join(X1,X_223))) = meet(converse(X1),converse(join(X1,X_223))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(X1))),converse(join(X1,X_223))),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) )],[refute_0_9290,refute_0_9291]) ).
cnf(refute_0_9293,plain,
meet(complement(complement(converse(X1))),converse(join(X1,X_223))) = meet(converse(X1),converse(join(X1,X_223))),
inference(resolve,[$cnf( $equal(complement(complement(converse(X1))),converse(X1)) )],[refute_0_9286,refute_0_9292]) ).
cnf(refute_0_9294,plain,
join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))))]]) ).
cnf(refute_0_9295,plain,
( join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| meet(complement(complement(converse(X1))),converse(join(X1,X_223))) != meet(converse(X1),converse(join(X1,X_223)))
| join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(converse(X1),converse(join(X1,X_223)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) ),[1,1],$fot(meet(converse(X1),converse(join(X1,X_223))))]]) ).
cnf(refute_0_9296,plain,
( meet(complement(complement(converse(X1))),converse(join(X1,X_223))) != meet(converse(X1),converse(join(X1,X_223)))
| join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(converse(X1),converse(join(X1,X_223)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) )],[refute_0_9294,refute_0_9295]) ).
cnf(refute_0_9297,plain,
join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(converse(X1),converse(join(X1,X_223)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(X1))),converse(join(X1,X_223))),meet(converse(X1),converse(join(X1,X_223)))) )],[refute_0_9293,refute_0_9296]) ).
cnf(refute_0_9298,plain,
join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))))]]) ).
cnf(refute_0_9299,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9300,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) )],[refute_0_9298,refute_0_9299]) ).
cnf(refute_0_9301,plain,
join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9300]) ).
cnf(refute_0_9302,plain,
( join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != join(zero,meet(converse(X1),converse(join(X1,X_223))))
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(converse(X1),converse(join(X1,X_223)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))))),bind(Y,$fot(join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))))),bind(Z,$fot(join(zero,meet(converse(X1),converse(join(X1,X_223))))))]]) ).
cnf(refute_0_9303,plain,
( join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != join(zero,meet(converse(X1),converse(join(X1,X_223))))
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(converse(X1),converse(join(X1,X_223)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) )],[refute_0_9301,refute_0_9302]) ).
cnf(refute_0_9304,plain,
join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = join(zero,meet(converse(X1),converse(join(X1,X_223)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(zero,meet(converse(X1),converse(join(X1,X_223))))) )],[refute_0_9297,refute_0_9303]) ).
cnf(refute_0_9305,plain,
( join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != join(zero,meet(converse(X1),converse(join(X1,X_223))))
| join(zero,meet(converse(X1),converse(join(X1,X_223)))) != meet(converse(X1),converse(join(X1,X_223)))
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = meet(converse(X1),converse(join(X1,X_223))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))))),bind(Y,$fot(join(zero,meet(converse(X1),converse(join(X1,X_223)))))),bind(Z,$fot(meet(converse(X1),converse(join(X1,X_223)))))]]) ).
cnf(refute_0_9306,plain,
( join(zero,meet(converse(X1),converse(join(X1,X_223)))) != meet(converse(X1),converse(join(X1,X_223)))
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = meet(converse(X1),converse(join(X1,X_223))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),join(zero,meet(converse(X1),converse(join(X1,X_223))))) )],[refute_0_9304,refute_0_9305]) ).
cnf(refute_0_9307,plain,
join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) = meet(converse(X1),converse(join(X1,X_223))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(X1),converse(join(X1,X_223)))),meet(converse(X1),converse(join(X1,X_223)))) )],[refute_0_9289,refute_0_9306]) ).
cnf(refute_0_9308,plain,
( converse(X1) != join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))) != meet(converse(X1),converse(join(X1,X_223)))
| converse(X1) = meet(converse(X1),converse(join(X1,X_223))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(X1),meet(converse(X1),converse(join(X1,X_223)))) ),[0],$fot(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))))]]) ).
cnf(refute_0_9309,plain,
( converse(X1) != join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| converse(X1) = meet(converse(X1),converse(join(X1,X_223))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223)))),meet(converse(X1),converse(join(X1,X_223)))) )],[refute_0_9307,refute_0_9308]) ).
cnf(refute_0_9310,plain,
( complement(complement(converse(X1))) != join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))
| converse(X1) = meet(converse(X1),converse(join(X1,X_223))) ),
inference(resolve,[$cnf( $equal(converse(X1),join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) )],[refute_0_9288,refute_0_9309]) ).
cnf(refute_0_9311,plain,
converse(X1) = meet(converse(X1),converse(join(X1,X_223))),
inference(resolve,[$cnf( $equal(complement(complement(converse(X1))),join(complement(top),meet(complement(complement(converse(X1))),converse(join(X1,X_223))))) )],[refute_0_9285,refute_0_9310]) ).
cnf(refute_0_9312,plain,
converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_9311:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_223,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9313,plain,
join(one,join(skolemFOFtoCNF_X0,X_65)) = join(one,X_65),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(X_65))]]) ).
cnf(refute_0_9314,plain,
join(X_65,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_65),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_65)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9315,plain,
( join(X_65,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_65)
| join(skolemFOFtoCNF_X0,X_65) = join(X_65,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_65,skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,X_65)))]]) ).
cnf(refute_0_9316,plain,
join(skolemFOFtoCNF_X0,X_65) = join(X_65,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(X_65,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_65)) )],[refute_0_9314,refute_0_9315]) ).
cnf(refute_0_9317,plain,
( join(one,join(skolemFOFtoCNF_X0,X_65)) != join(one,X_65)
| join(skolemFOFtoCNF_X0,X_65) != join(X_65,skolemFOFtoCNF_X0)
| join(one,join(X_65,skolemFOFtoCNF_X0)) = join(one,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_65)),join(one,X_65)) ),[0,1],$fot(join(X_65,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9318,plain,
( join(one,join(skolemFOFtoCNF_X0,X_65)) != join(one,X_65)
| join(one,join(X_65,skolemFOFtoCNF_X0)) = join(one,X_65) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_65),join(X_65,skolemFOFtoCNF_X0)) )],[refute_0_9316,refute_0_9317]) ).
cnf(refute_0_9319,plain,
join(one,join(X_65,skolemFOFtoCNF_X0)) = join(one,X_65),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_65)),join(one,X_65)) )],[refute_0_9313,refute_0_9318]) ).
cnf(refute_0_9320,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_9319:[bind(X_65,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9321,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(one)),bind(X_270,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9322,plain,
one = join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1984:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_95,$fot(one))]]) ).
cnf(refute_0_9323,plain,
meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9324,plain,
top = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_8800:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_34,$fot(one))]]) ).
cnf(refute_0_9325,plain,
join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_6942:[bind(X_566,$fot(meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9326,plain,
( join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_9327,plain,
join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_9325,refute_0_9326]) ).
cnf(refute_0_9328,plain,
( join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| top != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| top = join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9329,plain,
( top != join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| top = join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9327,refute_0_9328]) ).
cnf(refute_0_9330,plain,
top = join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_9324,refute_0_9329]) ).
cnf(refute_0_9331,plain,
join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9332,plain,
join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4732:[bind(X_114,$fot(one)),bind(X_298,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9333,plain,
( join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9334,plain,
( join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9332,refute_0_9333]) ).
cnf(refute_0_9335,plain,
join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9331,refute_0_9334]) ).
cnf(refute_0_9336,plain,
( join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| top != join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| top = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9337,plain,
( top != join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| top = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9335,refute_0_9336]) ).
cnf(refute_0_9338,plain,
top = complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9330,refute_0_9337]) ).
cnf(refute_0_9339,plain,
( top != complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9340,plain,
complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9338,refute_0_9339]) ).
cnf(refute_0_9341,plain,
( complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != top
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_9342,plain,
( meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_9340,refute_0_9341]) ).
cnf(refute_0_9343,plain,
meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(complement(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9323,refute_0_9342]) ).
cnf(refute_0_9344,plain,
( complement(top) != zero
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(top)
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_9345,plain,
( meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(top)
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9344]) ).
cnf(refute_0_9346,plain,
meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(top)) )],[refute_0_9343,refute_0_9345]) ).
cnf(refute_0_9347,plain,
( meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != zero
| one != join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| one = join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9348,plain,
( one != join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| one = join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_9346,refute_0_9347]) ).
cnf(refute_0_9349,plain,
one = join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9322,refute_0_9348]) ).
cnf(refute_0_9350,plain,
join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9351,plain,
( join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| one != join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| one = meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9352,plain,
( one != join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| one = meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9350,refute_0_9351]) ).
cnf(refute_0_9353,plain,
one = meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(zero,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9349,refute_0_9352]) ).
cnf(refute_0_9354,plain,
( one != meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9355,plain,
meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9353,refute_0_9354]) ).
cnf(refute_0_9356,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != one
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_9357,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),one) )],[refute_0_9355,refute_0_9356]) ).
cnf(refute_0_9358,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9321,refute_0_9357]) ).
cnf(refute_0_9359,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(one)),bind(X_95,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9360,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one)
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))]]) ).
cnf(refute_0_9361,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one)
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9359,refute_0_9360]) ).
cnf(refute_0_9362,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one)) )],[refute_0_9358,refute_0_9361]) ).
cnf(refute_0_9363,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9364,plain,
join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9362,refute_0_9363]) ).
cnf(refute_0_9365,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9366,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_9365]) ).
cnf(refute_0_9367,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9320,refute_0_9366]) ).
cnf(refute_0_9368,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9369,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9370,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),X2)
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),X2)) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9371,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),X2)
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_9370]) ).
cnf(refute_0_9372,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_9369,refute_0_9371]) ).
cnf(refute_0_9373,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_9372:[bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9374,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9375,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) )],[refute_0_9373,refute_0_9374]) ).
cnf(refute_0_9376,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9368,refute_0_9375]) ).
cnf(refute_0_9377,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9378,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9376,refute_0_9377]) ).
cnf(refute_0_9379,plain,
join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9367,refute_0_9378]) ).
cnf(refute_0_9380,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9381,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9379,refute_0_9380]) ).
cnf(refute_0_9382,plain,
converse(skolemFOFtoCNF_X0) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_9312,refute_0_9381]) ).
cnf(refute_0_9383,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9384,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_9383]) ).
cnf(refute_0_9385,plain,
converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9386,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9387,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9388,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9386,refute_0_9387]) ).
cnf(refute_0_9389,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9385,refute_0_9388]) ).
cnf(refute_0_9390,plain,
converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9391,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9392,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9390,refute_0_9391]) ).
cnf(refute_0_9393,plain,
converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9389,refute_0_9392]) ).
cnf(refute_0_9394,plain,
meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9395,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9396,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9394,refute_0_9395]) ).
cnf(refute_0_9397,plain,
meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9393,refute_0_9396]) ).
cnf(refute_0_9398,plain,
meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9399,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9400,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9398,refute_0_9399]) ).
cnf(refute_0_9401,plain,
meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_9400]) ).
cnf(refute_0_9402,plain,
( meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9403,plain,
( meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9401,refute_0_9402]) ).
cnf(refute_0_9404,plain,
meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9397,refute_0_9403]) ).
cnf(refute_0_9405,plain,
( meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9406,plain,
( skolemFOFtoCNF_X0 != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9404,refute_0_9405]) ).
cnf(refute_0_9407,plain,
( converse(skolemFOFtoCNF_X0) != meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9384,refute_0_9406]) ).
cnf(refute_0_9408,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9382,refute_0_9407]) ).
cnf(refute_0_9409,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9410,plain,
meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9408,refute_0_9409]) ).
cnf(refute_0_9411,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9412,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_9410,refute_0_9411]) ).
cnf(refute_0_9413,plain,
complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_9281,refute_0_9412]) ).
cnf(refute_0_9414,plain,
complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9415,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9416,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9414,refute_0_9415]) ).
cnf(refute_0_9417,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9418,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9419,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9417,refute_0_9418]) ).
cnf(refute_0_9420,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9414,refute_0_9419]) ).
cnf(refute_0_9421,plain,
meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(skolemFOFtoCNF_X0))),bind(X_28,$fot(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9422,plain,
( meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9423,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9421,refute_0_9422]) ).
cnf(refute_0_9424,plain,
meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9420,refute_0_9423]) ).
cnf(refute_0_9425,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))
| meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9426,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9424,refute_0_9425]) ).
cnf(refute_0_9427,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) )],[refute_0_9416,refute_0_9426]) ).
cnf(refute_0_9428,plain,
composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0))) )],[refute_0_9413,refute_0_9427]) ).
cnf(refute_0_9429,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9430,plain,
meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9428,refute_0_9429]) ).
cnf(refute_0_9431,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9432,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9430,refute_0_9431]) ).
cnf(refute_0_9433,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9280,refute_0_9432]) ).
cnf(refute_0_9434,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_95,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9435,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9436,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9434,refute_0_9435]) ).
cnf(refute_0_9437,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9244,refute_0_9436]) ).
cnf(refute_0_9438,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9439,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9440,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9438,refute_0_9439]) ).
cnf(refute_0_9441,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_7139,refute_0_9440]) ).
cnf(refute_0_9442,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9443,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9444,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9442,refute_0_9443]) ).
cnf(refute_0_9445,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9441,refute_0_9444]) ).
cnf(refute_0_9446,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9447,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9445,refute_0_9446]) ).
cnf(refute_0_9448,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9437,refute_0_9447]) ).
cnf(refute_0_9449,plain,
join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(X_95,$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9450,plain,
( join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9451,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9449,refute_0_9450]) ).
cnf(refute_0_9452,plain,
join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9448,refute_0_9451]) ).
cnf(refute_0_9453,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| complement(skolemFOFtoCNF_X0) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9454,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9452,refute_0_9453]) ).
cnf(refute_0_9455,plain,
complement(skolemFOFtoCNF_X0) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9433,refute_0_9454]) ).
cnf(refute_0_9456,plain,
( complement(skolemFOFtoCNF_X0) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| complement(meet(one,composition(skolemFOFtoCNF_X0,top))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9457,plain,
complement(meet(one,composition(skolemFOFtoCNF_X0,top))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9455,refute_0_9456]) ).
cnf(refute_0_9458,plain,
( complement(meet(one,composition(skolemFOFtoCNF_X0,top))) != complement(skolemFOFtoCNF_X0)
| meet(one,composition(skolemFOFtoCNF_X0,top)) != complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| meet(one,composition(skolemFOFtoCNF_X0,top)) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,top)),complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9459,plain,
( meet(one,composition(skolemFOFtoCNF_X0,top)) != complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| meet(one,composition(skolemFOFtoCNF_X0,top)) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0)) )],[refute_0_9457,refute_0_9458]) ).
cnf(refute_0_9460,plain,
meet(one,composition(skolemFOFtoCNF_X0,top)) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,top)),complement(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9279,refute_0_9459]) ).
cnf(refute_0_9461,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(one,composition(skolemFOFtoCNF_X0,top)) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,top)),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9462,plain,
( meet(one,composition(skolemFOFtoCNF_X0,top)) != complement(complement(skolemFOFtoCNF_X0))
| meet(one,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_9461]) ).
cnf(refute_0_9463,plain,
meet(one,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,top)),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_9460,refute_0_9462]) ).
cnf(refute_0_9464,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9465,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(one,composition(skolemFOFtoCNF_X0,top)) != skolemFOFtoCNF_X0
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9466,plain,
( meet(one,composition(skolemFOFtoCNF_X0,top)) != skolemFOFtoCNF_X0
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9464,refute_0_9465]) ).
cnf(refute_0_9467,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) )],[refute_0_9463,refute_0_9466]) ).
cnf(refute_0_9468,plain,
( composition(skolemFOFtoCNF_X0,top) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9469,plain,
( composition(skolemFOFtoCNF_X0,top) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,top) = join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9467,refute_0_9468]) ).
cnf(refute_0_9470,plain,
composition(skolemFOFtoCNF_X0,top) = join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9278,refute_0_9469]) ).
cnf(refute_0_9471,plain,
( composition(skolemFOFtoCNF_X0,top) != join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9472,plain,
join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9470,refute_0_9471]) ).
cnf(refute_0_9473,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| join(one,composition(skolemFOFtoCNF_X0,top)) = join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9474,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,composition(skolemFOFtoCNF_X0,top)) = join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9472,refute_0_9473]) ).
cnf(refute_0_9475,plain,
join(one,composition(skolemFOFtoCNF_X0,top)) = join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6152,refute_0_9474]) ).
cnf(refute_0_9476,plain,
( join(one,composition(skolemFOFtoCNF_X0,top)) != join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9477,plain,
join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,top)),join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9475,refute_0_9476]) ).
cnf(refute_0_9478,plain,
( join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(one,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9479,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9477,refute_0_9478]) ).
cnf(refute_0_9480,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6151,refute_0_9479]) ).
cnf(refute_0_9481,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_95,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9482,plain,
join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(X_56,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(skolemFOFtoCNF_X0)),bind(X_57,$fot(meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9483,plain,
( join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(X_56,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(X_56,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(X_56,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9484,plain,
( join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(X_56,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(X_56,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9472,refute_0_9483]) ).
cnf(refute_0_9485,plain,
join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(X_56,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_56,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(X_56,join(skolemFOFtoCNF_X0,meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9482,refute_0_9484]) ).
cnf(refute_0_9486,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_9485:[bind(X_56,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9487,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9488,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9486,refute_0_9487]) ).
cnf(refute_0_9489,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9481,refute_0_9488]) ).
cnf(refute_0_9490,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,composition(skolemFOFtoCNF_X0,top))
| join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))) = join(one,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9491,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,composition(skolemFOFtoCNF_X0,top))
| join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))) = join(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9489,refute_0_9490]) ).
cnf(refute_0_9492,plain,
join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))) = join(one,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9480,refute_0_9491]) ).
cnf(refute_0_9493,plain,
( join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))) != join(one,composition(skolemFOFtoCNF_X0,top))
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(join(one,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9494,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))),join(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9492,refute_0_9493]) ).
cnf(refute_0_9495,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,top),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6146,refute_0_9494]) ).
cnf(refute_0_9496,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_5180:[bind(X1,$fot(join(one,composition(skolemFOFtoCNF_X0,top)))),bind(X_31,$fot(skolemFOFtoCNF_X0)),bind(X_704,$fot(one))]]) ).
cnf(refute_0_9497,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) != meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))) ),[1],$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9498,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9496,refute_0_9497]) ).
cnf(refute_0_9499,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9495,refute_0_9498]) ).
cnf(refute_0_9500,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9501,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9499,refute_0_9500]) ).
cnf(refute_0_9502,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9503,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_9501,refute_0_9502]) ).
cnf(refute_0_9504,plain,
meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_6118,refute_0_9503]) ).
cnf(refute_0_9505,plain,
join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_95,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9506,plain,
( join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0)))) ),[1],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9507,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9505,refute_0_9506]) ).
cnf(refute_0_9508,plain,
meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9504,refute_0_9507]) ).
cnf(refute_0_9509,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9510,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9508,refute_0_9509]) ).
cnf(refute_0_9511,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(one,complement(skolemFOFtoCNF_X0))) ),[0,0],$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9512,plain,
( meet(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9510,refute_0_9511]) ).
cnf(refute_0_9513,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_6117,refute_0_9512]) ).
cnf(refute_0_9514,plain,
meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_28,$fot(join(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9515,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,join(one,complement(one))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(one))))]]) ).
cnf(refute_0_9516,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,join(one,complement(one)))
| join(one,complement(one)) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_9517,plain,
( join(one,complement(one)) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) )],[refute_0_9515,refute_0_9516]) ).
cnf(refute_0_9518,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(one))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_501,refute_0_9517]) ).
cnf(refute_0_9519,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,join(one,complement(one))),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(skolemFOFtoCNF_X0)),bind(X_426,$fot(complement(one)))]]) ).
cnf(refute_0_9520,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,join(one,complement(one)))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,complement(one))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9521,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,join(one,complement(one)))) )],[refute_0_9519,refute_0_9520]) ).
cnf(refute_0_9522,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(one))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9518,refute_0_9521]) ).
cnf(refute_0_9523,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_9524,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9525,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_9523,refute_0_9524]) ).
cnf(refute_0_9526,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9522,refute_0_9525]) ).
cnf(refute_0_9527,plain,
meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_9528,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9529,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_9527,refute_0_9528]) ).
cnf(refute_0_9530,plain,
meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9526,refute_0_9529]) ).
cnf(refute_0_9531,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top)))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9532,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9530,refute_0_9531]) ).
cnf(refute_0_9533,plain,
meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9514,refute_0_9532]) ).
cnf(refute_0_9534,plain,
meet(X0,complement(join(X_862,X_863))) = complement(join(complement(X0),join(X_862,X_863))),
inference(subst,[],[refute_0_903:[bind(X_31,$fot(join(X_862,X_863)))]]) ).
cnf(refute_0_9535,plain,
join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,composition(complement(composition(top,X0)),converse(X0)))))) = complement(converse(X0)),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(converse(X0))),bind(X_45,$fot(X_389)),bind(X_46,$fot(complement(composition(top,X0))))]]) ).
cnf(refute_0_9536,plain,
( zero != composition(complement(composition(top,X0)),converse(X0))
| composition(complement(composition(top,X0)),converse(X0)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,X0)),converse(X0))))]]) ).
cnf(refute_0_9537,plain,
composition(complement(composition(top,X0)),converse(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,X0)),converse(X0))) )],[refute_0_3936,refute_0_9536]) ).
cnf(refute_0_9538,plain,
( composition(complement(composition(top,X0)),converse(X0)) != zero
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,composition(complement(composition(top,X0)),converse(X0)))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,composition(complement(composition(top,X0)),converse(X0)))))),complement(converse(X0))) ),[0,1,1,0,1],$fot(zero)]]) ).
cnf(refute_0_9539,plain,
( join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,composition(complement(composition(top,X0)),converse(X0)))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X0)),converse(X0)),zero) )],[refute_0_9537,refute_0_9538]) ).
cnf(refute_0_9540,plain,
join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,composition(complement(composition(top,X0)),converse(X0)))))),complement(converse(X0))) )],[refute_0_9535,refute_0_9539]) ).
cnf(refute_0_9541,plain,
composition(converse(composition(X_389,complement(composition(top,X0)))),top) = converse(composition(top,composition(X_389,complement(composition(top,X0))))),
inference(subst,[],[refute_0_1664:[bind(X_12,$fot(composition(X_389,complement(composition(top,X0)))))]]) ).
cnf(refute_0_9542,plain,
composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))),
introduced(tautology,[refl,[$fot(composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))))]]) ).
cnf(refute_0_9543,plain,
( complement(composition(X_389,zero)) != top
| composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) != composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))
| composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = composition(converse(composition(X_389,complement(composition(top,X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_9544,plain,
( complement(composition(X_389,zero)) != top
| composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = composition(converse(composition(X_389,complement(composition(top,X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) )],[refute_0_9542,refute_0_9543]) ).
cnf(refute_0_9545,plain,
composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = composition(converse(composition(X_389,complement(composition(top,X0)))),top),
inference(resolve,[$cnf( $equal(complement(composition(X_389,zero)),top) )],[refute_0_1896,refute_0_9544]) ).
cnf(refute_0_9546,plain,
( composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) != composition(converse(composition(X_389,complement(composition(top,X0)))),top)
| composition(converse(composition(X_389,complement(composition(top,X0)))),top) != converse(composition(top,composition(X_389,complement(composition(top,X0)))))
| composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = converse(composition(top,composition(X_389,complement(composition(top,X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))))),bind(Y,$fot(composition(converse(composition(X_389,complement(composition(top,X0)))),top))),bind(Z,$fot(converse(composition(top,composition(X_389,complement(composition(top,X0)))))))]]) ).
cnf(refute_0_9547,plain,
( composition(converse(composition(X_389,complement(composition(top,X0)))),top) != converse(composition(top,composition(X_389,complement(composition(top,X0)))))
| composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = converse(composition(top,composition(X_389,complement(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))),composition(converse(composition(X_389,complement(composition(top,X0)))),top)) )],[refute_0_9545,refute_0_9546]) ).
cnf(refute_0_9548,plain,
composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) = converse(composition(top,composition(X_389,complement(composition(top,X0))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,complement(composition(top,X0)))),top),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) )],[refute_0_9541,refute_0_9547]) ).
cnf(refute_0_9549,plain,
join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))))]]) ).
cnf(refute_0_9550,plain,
( composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) != converse(composition(top,composition(X_389,complement(composition(top,X0)))))
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) != join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))))
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))),join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))))) ),[1,1],$fot(converse(composition(top,composition(X_389,complement(composition(top,X0))))))]]) ).
cnf(refute_0_9551,plain,
( composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))) != converse(composition(top,composition(X_389,complement(composition(top,X0)))))
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))),join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))))) )],[refute_0_9549,refute_0_9550]) ).
cnf(refute_0_9552,plain,
join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) = join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero))),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) )],[refute_0_9548,refute_0_9551]) ).
cnf(refute_0_9553,plain,
( join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) != join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0))))))
| join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))))]]) ).
cnf(refute_0_9554,plain,
( join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))) != complement(converse(X0))
| join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))),join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0))))))) )],[refute_0_9552,refute_0_9553]) ).
cnf(refute_0_9555,plain,
join(complement(converse(X0)),converse(composition(top,composition(X_389,complement(composition(top,X0)))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(composition(X_389,complement(composition(top,X0)))),complement(composition(X_389,zero)))),complement(converse(X0))) )],[refute_0_9540,refute_0_9554]) ).
cnf(refute_0_9556,plain,
join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) = complement(converse(join(X1,X0))),
inference(subst,[],[refute_0_9555:[bind(X0,$fot(join(X1,X0))),bind(X_389,$fot(X_721))]]) ).
cnf(refute_0_9557,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) != complement(converse(join(X1,X0)))
| join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) = complement(converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))),complement(converse(join(X1,X0)))) ),[1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_9558,plain,
( join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) != complement(converse(join(X1,X0)))
| join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) = complement(converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_461,refute_0_9557]) ).
cnf(refute_0_9559,plain,
join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) = complement(converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))),complement(converse(join(X1,X0)))) )],[refute_0_9556,refute_0_9558]) ).
cnf(refute_0_9560,plain,
( join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) != complement(converse(join(X0,X1)))
| join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) != complement(converse(join(X1,X0)))
| complement(converse(join(X1,X0))) = complement(converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))),complement(converse(join(X0,X1)))) ),[0],$fot(complement(converse(join(X1,X0))))]]) ).
cnf(refute_0_9561,plain,
( join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))) != complement(converse(join(X0,X1)))
| complement(converse(join(X1,X0))) = complement(converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))),complement(converse(join(X1,X0)))) )],[refute_0_9556,refute_0_9560]) ).
cnf(refute_0_9562,plain,
complement(converse(join(X1,X0))) = complement(converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X1,X0))),converse(composition(top,composition(X_721,complement(composition(top,join(X1,X0))))))),complement(converse(join(X0,X1)))) )],[refute_0_9559,refute_0_9561]) ).
cnf(refute_0_9563,plain,
complement(converse(join(converse(X0),converse(X1)))) = complement(converse(join(converse(X1),converse(X0)))),
inference(subst,[],[refute_0_9562:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_9564,plain,
( complement(converse(join(converse(X0),converse(X1)))) != complement(converse(join(converse(X1),converse(X0))))
| join(converse(X0),converse(X1)) != converse(join(X0,X1))
| complement(converse(converse(join(X0,X1)))) = complement(converse(join(converse(X1),converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(converse(X0),converse(X1)))),complement(converse(join(converse(X1),converse(X0))))) ),[0,0,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_9565,plain,
( complement(converse(join(converse(X0),converse(X1)))) != complement(converse(join(converse(X1),converse(X0))))
| complement(converse(converse(join(X0,X1)))) = complement(converse(join(converse(X1),converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_308,refute_0_9564]) ).
cnf(refute_0_9566,plain,
complement(converse(converse(join(X0,X1)))) = complement(converse(join(converse(X1),converse(X0)))),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(X0),converse(X1)))),complement(converse(join(converse(X1),converse(X0))))) )],[refute_0_9563,refute_0_9565]) ).
cnf(refute_0_9567,plain,
converse(converse(join(X0,X1))) = join(X0,X1),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X0,X1)))]]) ).
cnf(refute_0_9568,plain,
complement(converse(converse(join(X0,X1)))) = complement(converse(converse(join(X0,X1)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(X0,X1)))))]]) ).
cnf(refute_0_9569,plain,
( complement(converse(converse(join(X0,X1)))) != complement(converse(converse(join(X0,X1))))
| converse(converse(join(X0,X1))) != join(X0,X1)
| complement(converse(converse(join(X0,X1)))) = complement(join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(converse(converse(join(X0,X1))))) ),[1,0],$fot(join(X0,X1))]]) ).
cnf(refute_0_9570,plain,
( converse(converse(join(X0,X1))) != join(X0,X1)
| complement(converse(converse(join(X0,X1)))) = complement(join(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(converse(converse(join(X0,X1))))) )],[refute_0_9568,refute_0_9569]) ).
cnf(refute_0_9571,plain,
complement(converse(converse(join(X0,X1)))) = complement(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(join(X0,X1))),join(X0,X1)) )],[refute_0_9567,refute_0_9570]) ).
cnf(refute_0_9572,plain,
( complement(converse(converse(join(X0,X1)))) != complement(converse(join(converse(X1),converse(X0))))
| complement(converse(converse(join(X0,X1)))) != complement(join(X0,X1))
| complement(join(X0,X1)) = complement(converse(join(converse(X1),converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(converse(join(converse(X1),converse(X0))))) ),[0],$fot(complement(join(X0,X1)))]]) ).
cnf(refute_0_9573,plain,
( complement(converse(converse(join(X0,X1)))) != complement(converse(join(converse(X1),converse(X0))))
| complement(join(X0,X1)) = complement(converse(join(converse(X1),converse(X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(join(X0,X1))) )],[refute_0_9571,refute_0_9572]) ).
cnf(refute_0_9574,plain,
join(X1,converse(converse(X0))) = join(X1,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X1,converse(converse(X0))))]]) ).
cnf(refute_0_9575,plain,
( converse(converse(X0)) != X0
| join(X1,converse(converse(X0))) != join(X1,converse(converse(X0)))
| join(X1,converse(converse(X0))) = join(X1,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,converse(converse(X0))),join(X1,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_9576,plain,
( converse(converse(X0)) != X0
| join(X1,converse(converse(X0))) = join(X1,X0) ),
inference(resolve,[$cnf( $equal(join(X1,converse(converse(X0))),join(X1,converse(converse(X0)))) )],[refute_0_9574,refute_0_9575]) ).
cnf(refute_0_9577,plain,
join(X1,converse(converse(X0))) = join(X1,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_9576]) ).
cnf(refute_0_9578,plain,
converse(join(converse(X1),converse(X0))) = join(X1,converse(converse(X0))),
inference(subst,[],[refute_0_272:[bind(X0,$fot(X1)),bind(X_5,$fot(converse(X0)))]]) ).
cnf(refute_0_9579,plain,
( converse(join(converse(X1),converse(X0))) != join(X1,converse(converse(X0)))
| join(X1,converse(converse(X0))) != join(X1,X0)
| converse(join(converse(X1),converse(X0))) = join(X1,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X1),converse(X0))))),bind(Y,$fot(join(X1,converse(converse(X0))))),bind(Z,$fot(join(X1,X0)))]]) ).
cnf(refute_0_9580,plain,
( join(X1,converse(converse(X0))) != join(X1,X0)
| converse(join(converse(X1),converse(X0))) = join(X1,X0) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X1),converse(X0))),join(X1,converse(converse(X0)))) )],[refute_0_9578,refute_0_9579]) ).
cnf(refute_0_9581,plain,
converse(join(converse(X1),converse(X0))) = join(X1,X0),
inference(resolve,[$cnf( $equal(join(X1,converse(converse(X0))),join(X1,X0)) )],[refute_0_9577,refute_0_9580]) ).
cnf(refute_0_9582,plain,
complement(converse(join(converse(X1),converse(X0)))) = complement(converse(join(converse(X1),converse(X0)))),
introduced(tautology,[refl,[$fot(complement(converse(join(converse(X1),converse(X0)))))]]) ).
cnf(refute_0_9583,plain,
( complement(converse(join(converse(X1),converse(X0)))) != complement(converse(join(converse(X1),converse(X0))))
| converse(join(converse(X1),converse(X0))) != join(X1,X0)
| complement(converse(join(converse(X1),converse(X0)))) = complement(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(converse(X1),converse(X0)))),complement(converse(join(converse(X1),converse(X0))))) ),[1,0],$fot(join(X1,X0))]]) ).
cnf(refute_0_9584,plain,
( converse(join(converse(X1),converse(X0))) != join(X1,X0)
| complement(converse(join(converse(X1),converse(X0)))) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(X1),converse(X0)))),complement(converse(join(converse(X1),converse(X0))))) )],[refute_0_9582,refute_0_9583]) ).
cnf(refute_0_9585,plain,
complement(converse(join(converse(X1),converse(X0)))) = complement(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(converse(X1),converse(X0))),join(X1,X0)) )],[refute_0_9581,refute_0_9584]) ).
cnf(refute_0_9586,plain,
( complement(converse(join(converse(X1),converse(X0)))) != complement(join(X1,X0))
| complement(join(X0,X1)) != complement(converse(join(converse(X1),converse(X0))))
| complement(join(X0,X1)) = complement(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X0,X1)),complement(converse(join(converse(X1),converse(X0))))) ),[1],$fot(complement(join(X1,X0)))]]) ).
cnf(refute_0_9587,plain,
( complement(join(X0,X1)) != complement(converse(join(converse(X1),converse(X0))))
| complement(join(X0,X1)) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(X1),converse(X0)))),complement(join(X1,X0))) )],[refute_0_9585,refute_0_9586]) ).
cnf(refute_0_9588,plain,
( complement(converse(converse(join(X0,X1)))) != complement(converse(join(converse(X1),converse(X0))))
| complement(join(X0,X1)) = complement(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(complement(join(X0,X1)),complement(converse(join(converse(X1),converse(X0))))) )],[refute_0_9573,refute_0_9587]) ).
cnf(refute_0_9589,plain,
complement(join(X0,X1)) = complement(join(X1,X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(X0,X1)))),complement(converse(join(converse(X1),converse(X0))))) )],[refute_0_9566,refute_0_9588]) ).
cnf(refute_0_9590,plain,
complement(join(X_862,X_863)) = complement(join(X_863,X_862)),
inference(subst,[],[refute_0_9589:[bind(X0,$fot(X_862)),bind(X1,$fot(X_863))]]) ).
cnf(refute_0_9591,plain,
( complement(join(X_862,X_863)) != complement(join(X_863,X_862))
| meet(X0,complement(join(X_862,X_863))) != complement(join(complement(X0),join(X_862,X_863)))
| meet(X0,complement(join(X_863,X_862))) = complement(join(complement(X0),join(X_862,X_863))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(join(X_862,X_863))),complement(join(complement(X0),join(X_862,X_863)))) ),[0,1],$fot(complement(join(X_863,X_862)))]]) ).
cnf(refute_0_9592,plain,
( meet(X0,complement(join(X_862,X_863))) != complement(join(complement(X0),join(X_862,X_863)))
| meet(X0,complement(join(X_863,X_862))) = complement(join(complement(X0),join(X_862,X_863))) ),
inference(resolve,[$cnf( $equal(complement(join(X_862,X_863)),complement(join(X_863,X_862))) )],[refute_0_9590,refute_0_9591]) ).
cnf(refute_0_9593,plain,
meet(X0,complement(join(X_863,X_862))) = complement(join(complement(X0),join(X_862,X_863))),
inference(resolve,[$cnf( $equal(meet(X0,complement(join(X_862,X_863))),complement(join(complement(X0),join(X_862,X_863)))) )],[refute_0_9534,refute_0_9592]) ).
cnf(refute_0_9594,plain,
complement(join(complement(X0),join(X_862,X_863))) = meet(X0,complement(join(X_862,X_863))),
inference(subst,[],[refute_0_905:[bind(X_31,$fot(join(X_862,X_863)))]]) ).
cnf(refute_0_9595,plain,
( complement(join(complement(X0),join(X_862,X_863))) != meet(X0,complement(join(X_862,X_863)))
| meet(X0,complement(join(X_863,X_862))) != complement(join(complement(X0),join(X_862,X_863)))
| meet(X0,complement(join(X_863,X_862))) = meet(X0,complement(join(X_862,X_863))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(join(X_863,X_862))),complement(join(complement(X0),join(X_862,X_863)))) ),[1],$fot(meet(X0,complement(join(X_862,X_863))))]]) ).
cnf(refute_0_9596,plain,
( meet(X0,complement(join(X_863,X_862))) != complement(join(complement(X0),join(X_862,X_863)))
| meet(X0,complement(join(X_863,X_862))) = meet(X0,complement(join(X_862,X_863))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),join(X_862,X_863))),meet(X0,complement(join(X_862,X_863)))) )],[refute_0_9594,refute_0_9595]) ).
cnf(refute_0_9597,plain,
meet(X0,complement(join(X_863,X_862))) = meet(X0,complement(join(X_862,X_863))),
inference(resolve,[$cnf( $equal(meet(X0,complement(join(X_863,X_862))),complement(join(complement(X0),join(X_862,X_863)))) )],[refute_0_9593,refute_0_9596]) ).
cnf(refute_0_9598,plain,
( meet(X0,complement(join(X_863,X_862))) != meet(X0,complement(join(X_862,X_863)))
| meet(X0,complement(join(X_862,X_863))) = meet(X0,complement(join(X_863,X_862))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X0,complement(join(X_863,X_862))))),bind(Y,$fot(meet(X0,complement(join(X_862,X_863)))))]]) ).
cnf(refute_0_9599,plain,
meet(X0,complement(join(X_862,X_863))) = meet(X0,complement(join(X_863,X_862))),
inference(resolve,[$cnf( $equal(meet(X0,complement(join(X_863,X_862))),meet(X0,complement(join(X_862,X_863)))) )],[refute_0_9597,refute_0_9598]) ).
cnf(refute_0_9600,plain,
meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) = meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_9599:[bind(X0,$fot(join(one,composition(skolemFOFtoCNF_X0,top)))),bind(X_862,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_863,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9601,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) != meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9602,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))),meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_9600,refute_0_9601]) ).
cnf(refute_0_9603,plain,
meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9533,refute_0_9602]) ).
cnf(refute_0_9604,plain,
meet(meet(complement(X_874),X_873),complement(X_31)) = complement(join(complement(meet(complement(X_874),X_873)),X_31)),
inference(subst,[],[refute_0_903:[bind(X0,$fot(meet(complement(X_874),X_873)))]]) ).
cnf(refute_0_9605,plain,
join(X_874,complement(X_873)) = complement(meet(complement(X_874),X_873)),
inference(subst,[],[refute_0_6103:[bind(X_678,$fot(X_873)),bind(X_679,$fot(X_874))]]) ).
cnf(refute_0_9606,plain,
( join(X_874,complement(X_873)) != complement(meet(complement(X_874),X_873))
| complement(meet(complement(X_874),X_873)) = join(X_874,complement(X_873)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_874,complement(X_873)))),bind(Y,$fot(complement(meet(complement(X_874),X_873))))]]) ).
cnf(refute_0_9607,plain,
complement(meet(complement(X_874),X_873)) = join(X_874,complement(X_873)),
inference(resolve,[$cnf( $equal(join(X_874,complement(X_873)),complement(meet(complement(X_874),X_873))) )],[refute_0_9605,refute_0_9606]) ).
cnf(refute_0_9608,plain,
( complement(meet(complement(X_874),X_873)) != join(X_874,complement(X_873))
| meet(meet(complement(X_874),X_873),complement(X_31)) != complement(join(complement(meet(complement(X_874),X_873)),X_31))
| meet(meet(complement(X_874),X_873),complement(X_31)) = complement(join(join(X_874,complement(X_873)),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_874),X_873),complement(X_31)),complement(join(complement(meet(complement(X_874),X_873)),X_31))) ),[1,0,0],$fot(join(X_874,complement(X_873)))]]) ).
cnf(refute_0_9609,plain,
( meet(meet(complement(X_874),X_873),complement(X_31)) != complement(join(complement(meet(complement(X_874),X_873)),X_31))
| meet(meet(complement(X_874),X_873),complement(X_31)) = complement(join(join(X_874,complement(X_873)),X_31)) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_874),X_873)),join(X_874,complement(X_873))) )],[refute_0_9607,refute_0_9608]) ).
cnf(refute_0_9610,plain,
meet(meet(complement(X_874),X_873),complement(X_31)) = complement(join(join(X_874,complement(X_873)),X_31)),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_874),X_873),complement(X_31)),complement(join(complement(meet(complement(X_874),X_873)),X_31))) )],[refute_0_9604,refute_0_9609]) ).
cnf(refute_0_9611,plain,
meet(X_704,complement(join(X_56,X0))) = complement(join(complement(X_704),join(X_56,X0))),
inference(subst,[],[refute_0_903:[bind(X0,$fot(X_704)),bind(X_31,$fot(join(X_56,X0)))]]) ).
cnf(refute_0_9612,plain,
join(X0,join(complement(X_704),X_56)) = join(complement(X_704),join(X_56,X0)),
inference(subst,[],[refute_0_3095:[bind(X_55,$fot(complement(X_704)))]]) ).
cnf(refute_0_9613,plain,
( join(X0,join(complement(X_704),X_56)) != join(complement(X_704),join(X_56,X0))
| join(complement(X_704),join(X_56,X0)) = join(X0,join(complement(X_704),X_56)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(complement(X_704),X_56)))),bind(Y,$fot(join(complement(X_704),join(X_56,X0))))]]) ).
cnf(refute_0_9614,plain,
join(complement(X_704),join(X_56,X0)) = join(X0,join(complement(X_704),X_56)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(X_704),X_56)),join(complement(X_704),join(X_56,X0))) )],[refute_0_9612,refute_0_9613]) ).
cnf(refute_0_9615,plain,
( join(complement(X_704),join(X_56,X0)) != join(X0,join(complement(X_704),X_56))
| meet(X_704,complement(join(X_56,X0))) != complement(join(complement(X_704),join(X_56,X0)))
| meet(X_704,complement(join(X_56,X0))) = complement(join(X0,join(complement(X_704),X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_704,complement(join(X_56,X0))),complement(join(complement(X_704),join(X_56,X0)))) ),[1,0],$fot(join(X0,join(complement(X_704),X_56)))]]) ).
cnf(refute_0_9616,plain,
( meet(X_704,complement(join(X_56,X0))) != complement(join(complement(X_704),join(X_56,X0)))
| meet(X_704,complement(join(X_56,X0))) = complement(join(X0,join(complement(X_704),X_56))) ),
inference(resolve,[$cnf( $equal(join(complement(X_704),join(X_56,X0)),join(X0,join(complement(X_704),X_56))) )],[refute_0_9614,refute_0_9615]) ).
cnf(refute_0_9617,plain,
meet(X_704,complement(join(X_56,X0))) = complement(join(X0,join(complement(X_704),X_56))),
inference(resolve,[$cnf( $equal(meet(X_704,complement(join(X_56,X0))),complement(join(complement(X_704),join(X_56,X0)))) )],[refute_0_9611,refute_0_9616]) ).
cnf(refute_0_9618,plain,
( meet(X_704,complement(join(X_56,X0))) != complement(join(X0,join(complement(X_704),X_56)))
| complement(join(X0,join(complement(X_704),X_56))) = meet(X_704,complement(join(X_56,X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_704,complement(join(X_56,X0))))),bind(Y,$fot(complement(join(X0,join(complement(X_704),X_56)))))]]) ).
cnf(refute_0_9619,plain,
complement(join(X0,join(complement(X_704),X_56))) = meet(X_704,complement(join(X_56,X0))),
inference(resolve,[$cnf( $equal(meet(X_704,complement(join(X_56,X0))),complement(join(X0,join(complement(X_704),X_56)))) )],[refute_0_9617,refute_0_9618]) ).
cnf(refute_0_9620,plain,
complement(join(X_874,join(complement(X_873),X_31))) = meet(X_873,complement(join(X_31,X_874))),
inference(subst,[],[refute_0_9619:[bind(X0,$fot(X_874)),bind(X_56,$fot(X_31)),bind(X_704,$fot(X_873))]]) ).
cnf(refute_0_9621,plain,
join(join(X_874,complement(X_873)),X_31) = join(X_874,join(complement(X_873),X_31)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_874)),bind(X1,$fot(complement(X_873))),bind(X2,$fot(X_31))]]) ).
cnf(refute_0_9622,plain,
complement(join(join(X_874,complement(X_873)),X_31)) = complement(join(join(X_874,complement(X_873)),X_31)),
introduced(tautology,[refl,[$fot(complement(join(join(X_874,complement(X_873)),X_31)))]]) ).
cnf(refute_0_9623,plain,
( complement(join(join(X_874,complement(X_873)),X_31)) != complement(join(join(X_874,complement(X_873)),X_31))
| join(join(X_874,complement(X_873)),X_31) != join(X_874,join(complement(X_873),X_31))
| complement(join(join(X_874,complement(X_873)),X_31)) = complement(join(X_874,join(complement(X_873),X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(X_874,complement(X_873)),X_31)),complement(join(join(X_874,complement(X_873)),X_31))) ),[1,0],$fot(join(X_874,join(complement(X_873),X_31)))]]) ).
cnf(refute_0_9624,plain,
( join(join(X_874,complement(X_873)),X_31) != join(X_874,join(complement(X_873),X_31))
| complement(join(join(X_874,complement(X_873)),X_31)) = complement(join(X_874,join(complement(X_873),X_31))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_874,complement(X_873)),X_31)),complement(join(join(X_874,complement(X_873)),X_31))) )],[refute_0_9622,refute_0_9623]) ).
cnf(refute_0_9625,plain,
complement(join(join(X_874,complement(X_873)),X_31)) = complement(join(X_874,join(complement(X_873),X_31))),
inference(resolve,[$cnf( $equal(join(join(X_874,complement(X_873)),X_31),join(X_874,join(complement(X_873),X_31))) )],[refute_0_9621,refute_0_9624]) ).
cnf(refute_0_9626,plain,
( complement(join(X_874,join(complement(X_873),X_31))) != meet(X_873,complement(join(X_31,X_874)))
| complement(join(join(X_874,complement(X_873)),X_31)) != complement(join(X_874,join(complement(X_873),X_31)))
| complement(join(join(X_874,complement(X_873)),X_31)) = meet(X_873,complement(join(X_31,X_874))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(join(X_874,complement(X_873)),X_31)))),bind(Y,$fot(complement(join(X_874,join(complement(X_873),X_31))))),bind(Z,$fot(meet(X_873,complement(join(X_31,X_874)))))]]) ).
cnf(refute_0_9627,plain,
( complement(join(X_874,join(complement(X_873),X_31))) != meet(X_873,complement(join(X_31,X_874)))
| complement(join(join(X_874,complement(X_873)),X_31)) = meet(X_873,complement(join(X_31,X_874))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_874,complement(X_873)),X_31)),complement(join(X_874,join(complement(X_873),X_31)))) )],[refute_0_9625,refute_0_9626]) ).
cnf(refute_0_9628,plain,
complement(join(join(X_874,complement(X_873)),X_31)) = meet(X_873,complement(join(X_31,X_874))),
inference(resolve,[$cnf( $equal(complement(join(X_874,join(complement(X_873),X_31))),meet(X_873,complement(join(X_31,X_874)))) )],[refute_0_9620,refute_0_9627]) ).
cnf(refute_0_9629,plain,
( complement(join(join(X_874,complement(X_873)),X_31)) != meet(X_873,complement(join(X_31,X_874)))
| meet(meet(complement(X_874),X_873),complement(X_31)) != complement(join(join(X_874,complement(X_873)),X_31))
| meet(meet(complement(X_874),X_873),complement(X_31)) = meet(X_873,complement(join(X_31,X_874))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_874),X_873),complement(X_31)),complement(join(join(X_874,complement(X_873)),X_31))) ),[1],$fot(meet(X_873,complement(join(X_31,X_874))))]]) ).
cnf(refute_0_9630,plain,
( meet(meet(complement(X_874),X_873),complement(X_31)) != complement(join(join(X_874,complement(X_873)),X_31))
| meet(meet(complement(X_874),X_873),complement(X_31)) = meet(X_873,complement(join(X_31,X_874))) ),
inference(resolve,[$cnf( $equal(complement(join(join(X_874,complement(X_873)),X_31)),meet(X_873,complement(join(X_31,X_874)))) )],[refute_0_9628,refute_0_9629]) ).
cnf(refute_0_9631,plain,
meet(meet(complement(X_874),X_873),complement(X_31)) = meet(X_873,complement(join(X_31,X_874))),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_874),X_873),complement(X_31)),complement(join(join(X_874,complement(X_873)),X_31))) )],[refute_0_9610,refute_0_9630]) ).
cnf(refute_0_9632,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) = meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9631:[bind(X_31,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_873,$fot(join(one,composition(skolemFOFtoCNF_X0,top)))),bind(X_874,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9633,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) != meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9634,plain,
( meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))),meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0)))) )],[refute_0_9632,refute_0_9633]) ).
cnf(refute_0_9635,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(join(one,composition(skolemFOFtoCNF_X0,top)),complement(join(composition(skolemFOFtoCNF_X0,complement(one)),skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9603,refute_0_9634]) ).
cnf(refute_0_9636,plain,
meet(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_6116:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_96,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9637,plain,
meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_1143:[bind(X_108,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(X_109,$fot(one))]]) ).
cnf(refute_0_9638,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9639,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_9501,refute_0_9638]) ).
cnf(refute_0_9640,plain,
meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9637,refute_0_9639]) ).
cnf(refute_0_9641,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_95,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9642,plain,
meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = complement(join(one,complement(join(X_443,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(join(X_443,skolemFOFtoCNF_X0))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_9643,plain,
join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(X_443))),bind(X_270,$fot(join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9644,plain,
complement(X_300) = join(complement(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(X_300)),bind(X_96,$fot(join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9645,plain,
join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) = join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(one)),bind(X_56,$fot(X_235)),bind(X_57,$fot(complement(join(X_235,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9646,plain,
( join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))) != join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0))))
| top != join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))
| top = join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) ),[1],$fot(join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9647,plain,
( top != join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))
| top = join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0)))),join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0))))) )],[refute_0_9645,refute_0_9646]) ).
cnf(refute_0_9648,plain,
top = join(X_235,join(one,complement(join(X_235,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(one,join(X_235,complement(join(X_235,skolemFOFtoCNF_X0))))) )],[refute_0_6217,refute_0_9647]) ).
cnf(refute_0_9649,plain,
top = join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9648:[bind(X_235,$fot(X_300))]]) ).
cnf(refute_0_9650,plain,
( top != join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))
| join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9651,plain,
join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) )],[refute_0_9649,refute_0_9650]) ).
cnf(refute_0_9652,plain,
( complement(X_300) != join(complement(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))
| join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) != top
| complement(X_300) = join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_300),join(complement(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_9653,plain,
( complement(X_300) != join(complement(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))
| complement(X_300) = join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0)))),top) )],[refute_0_9651,refute_0_9652]) ).
cnf(refute_0_9654,plain,
complement(X_300) = join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(join(X_300,join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))) )],[refute_0_9644,refute_0_9653]) ).
cnf(refute_0_9655,plain,
join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9656,plain,
join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9657,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9658,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))) )],[refute_0_9656,refute_0_9657]) ).
cnf(refute_0_9659,plain,
join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9658]) ).
cnf(refute_0_9660,plain,
( join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) != join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) != meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9661,plain,
( join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) != meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))) )],[refute_0_9659,refute_0_9660]) ).
cnf(refute_0_9662,plain,
join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) )],[refute_0_9655,refute_0_9661]) ).
cnf(refute_0_9663,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) != meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))
| complement(X_300) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_300),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9664,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))
| complement(X_300) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0))))) )],[refute_0_9662,refute_0_9663]) ).
cnf(refute_0_9665,plain,
complement(X_300) = meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(top),meet(complement(X_300),join(one,complement(join(X_300,skolemFOFtoCNF_X0)))))) )],[refute_0_9654,refute_0_9664]) ).
cnf(refute_0_9666,plain,
complement(X_443) = meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9665:[bind(X_300,$fot(X_443))]]) ).
cnf(refute_0_9667,plain,
( complement(X_443) != meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0))))
| meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) = complement(X_443) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_443))),bind(Y,$fot(meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9668,plain,
meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) = complement(X_443),
inference(resolve,[$cnf( $equal(complement(X_443),meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9666,refute_0_9667]) ).
cnf(refute_0_9669,plain,
( join(one,complement(join(X_443,skolemFOFtoCNF_X0))) != join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))
| meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) != complement(X_443)
| join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(X_443))]]) ).
cnf(refute_0_9670,plain,
( join(one,complement(join(X_443,skolemFOFtoCNF_X0))) != join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))
| join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))),complement(X_443)) )],[refute_0_9668,refute_0_9669]) ).
cnf(refute_0_9671,plain,
join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)),
inference(resolve,[$cnf( $equal(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),meet(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))) )],[refute_0_9643,refute_0_9670]) ).
cnf(refute_0_9672,plain,
converse(converse(X0)) = meet(converse(converse(X0)),converse(join(converse(X0),converse(X1)))),
inference(subst,[],[refute_0_9311:[bind(X1,$fot(converse(X0))),bind(X_223,$fot(converse(X1)))]]) ).
cnf(refute_0_9673,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))
| join(converse(X0),converse(X1)) != converse(join(X0,X1))
| converse(converse(X0)) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))) ),[1,1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_9674,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))
| converse(converse(X0)) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_308,refute_0_9673]) ).
cnf(refute_0_9675,plain,
converse(converse(X0)) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))) )],[refute_0_9672,refute_0_9674]) ).
cnf(refute_0_9676,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_9677,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_9676]) ).
cnf(refute_0_9678,plain,
meet(X0,converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))),
introduced(tautology,[refl,[$fot(meet(X0,converse(converse(join(X0,X1)))))]]) ).
cnf(refute_0_9679,plain,
( converse(converse(join(X0,X1))) != join(X0,X1)
| meet(X0,converse(converse(join(X0,X1)))) != meet(X0,converse(converse(join(X0,X1))))
| meet(X0,converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,converse(converse(join(X0,X1)))),meet(X0,converse(converse(join(X0,X1))))) ),[1,1],$fot(join(X0,X1))]]) ).
cnf(refute_0_9680,plain,
( converse(converse(join(X0,X1))) != join(X0,X1)
| meet(X0,converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(X0,converse(converse(join(X0,X1)))),meet(X0,converse(converse(join(X0,X1))))) )],[refute_0_9678,refute_0_9679]) ).
cnf(refute_0_9681,plain,
meet(X0,converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(join(X0,X1))),join(X0,X1)) )],[refute_0_9567,refute_0_9680]) ).
cnf(refute_0_9682,plain,
meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))),
introduced(tautology,[refl,[$fot(meet(converse(converse(X0)),converse(converse(join(X0,X1)))))]]) ).
cnf(refute_0_9683,plain,
( converse(converse(X0)) != X0
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_9684,plain,
( converse(converse(X0)) != X0
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) )],[refute_0_9682,refute_0_9683]) ).
cnf(refute_0_9685,plain,
meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_9684]) ).
cnf(refute_0_9686,plain,
( meet(X0,converse(converse(join(X0,X1)))) != meet(X0,join(X0,X1))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) != meet(X0,converse(converse(join(X0,X1))))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(converse(X0)),converse(converse(join(X0,X1)))))),bind(Y,$fot(meet(X0,converse(converse(join(X0,X1)))))),bind(Z,$fot(meet(X0,join(X0,X1))))]]) ).
cnf(refute_0_9687,plain,
( meet(X0,converse(converse(join(X0,X1)))) != meet(X0,join(X0,X1))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(X0,converse(converse(join(X0,X1))))) )],[refute_0_9685,refute_0_9686]) ).
cnf(refute_0_9688,plain,
meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(meet(X0,converse(converse(join(X0,X1)))),meet(X0,join(X0,X1))) )],[refute_0_9681,refute_0_9687]) ).
cnf(refute_0_9689,plain,
( X0 != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) != meet(X0,join(X0,X1))
| X0 = meet(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(X0,X1))) ),[0],$fot(meet(converse(converse(X0)),converse(converse(join(X0,X1)))))]]) ).
cnf(refute_0_9690,plain,
( X0 != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(X0,join(X0,X1))) )],[refute_0_9688,refute_0_9689]) ).
cnf(refute_0_9691,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(X0,meet(converse(converse(X0)),converse(converse(join(X0,X1))))) )],[refute_0_9677,refute_0_9690]) ).
cnf(refute_0_9692,plain,
X0 = meet(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) )],[refute_0_9675,refute_0_9691]) ).
cnf(refute_0_9693,plain,
( X0 != meet(X0,join(X0,X1))
| meet(X0,join(X0,X1)) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(meet(X0,join(X0,X1))))]]) ).
cnf(refute_0_9694,plain,
meet(X0,join(X0,X1)) = X0,
inference(resolve,[$cnf( $equal(X0,meet(X0,join(X0,X1))) )],[refute_0_9692,refute_0_9693]) ).
cnf(refute_0_9695,plain,
meet(X_443,join(X_443,skolemFOFtoCNF_X0)) = X_443,
inference(subst,[],[refute_0_9694:[bind(X0,$fot(X_443)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9696,plain,
complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) = complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9697,plain,
( complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) != complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0)))
| meet(X_443,join(X_443,skolemFOFtoCNF_X0)) != X_443
| complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) = complement(X_443) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))),complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0)))) ),[1,0],$fot(X_443)]]) ).
cnf(refute_0_9698,plain,
( meet(X_443,join(X_443,skolemFOFtoCNF_X0)) != X_443
| complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) = complement(X_443) ),
inference(resolve,[$cnf( $equal(complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))),complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0)))) )],[refute_0_9696,refute_0_9697]) ).
cnf(refute_0_9699,plain,
complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) = complement(X_443),
inference(resolve,[$cnf( $equal(meet(X_443,join(X_443,skolemFOFtoCNF_X0)),X_443) )],[refute_0_9695,refute_0_9698]) ).
cnf(refute_0_9700,plain,
join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) = complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(X_443)),bind(X1,$fot(join(X_443,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9701,plain,
( complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) != complement(X_443)
| join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) != complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0)))
| join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) = complement(X_443) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(X_443)))]]) ).
cnf(refute_0_9702,plain,
( complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))) != complement(X_443)
| join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) = complement(X_443) ),
inference(resolve,[$cnf( $equal(join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))),complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0)))) )],[refute_0_9700,refute_0_9701]) ).
cnf(refute_0_9703,plain,
join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) = complement(X_443),
inference(resolve,[$cnf( $equal(complement(meet(X_443,join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) )],[refute_0_9699,refute_0_9702]) ).
cnf(refute_0_9704,plain,
join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9705,plain,
( join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) != complement(X_443)
| join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) != join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))
| join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,complement(X_443)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(X_443))]]) ).
cnf(refute_0_9706,plain,
( join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))) != complement(X_443)
| join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,complement(X_443)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9704,refute_0_9705]) ).
cnf(refute_0_9707,plain,
join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,complement(X_443)),
inference(resolve,[$cnf( $equal(join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) )],[refute_0_9703,refute_0_9706]) ).
cnf(refute_0_9708,plain,
join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443))) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6415:[bind(X_288,$fot(complement(X_443))),bind(X_289,$fot(complement(join(X_443,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9709,plain,
join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443))),
inference(subst,[],[refute_0_6561:[bind(X0,$fot(complement(join(X_443,skolemFOFtoCNF_X0)))),bind(X_291,$fot(complement(X_443)))]]) ).
cnf(refute_0_9710,plain,
( join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) != join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443)))
| join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443))) != join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))
| join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443))))),bind(Z,$fot(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9711,plain,
( join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443))) != join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))
| join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))),join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443)))) )],[refute_0_9709,refute_0_9710]) ).
cnf(refute_0_9712,plain,
join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(X_443,skolemFOFtoCNF_X0)),complement(X_443))),join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9708,refute_0_9711]) ).
cnf(refute_0_9713,plain,
join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1277:[bind(X_19,$fot(join(one,complement(join(X_443,skolemFOFtoCNF_X0))))),bind(X_20,$fot(complement(X_443)))]]) ).
cnf(refute_0_9714,plain,
( join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) != join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))
| join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) != join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0))))
| join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)))),bind(Y,$fot(join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9715,plain,
( join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))) != join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))
| join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)),join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9713,refute_0_9714]) ).
cnf(refute_0_9716,plain,
join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(X_443),join(one,complement(join(X_443,skolemFOFtoCNF_X0)))),join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9712,refute_0_9715]) ).
cnf(refute_0_9717,plain,
( join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) != join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))
| join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) != join(one,complement(X_443))
| join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(one,complement(X_443)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)))),bind(Y,$fot(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(one,complement(X_443))))]]) ).
cnf(refute_0_9718,plain,
( join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))) != join(one,complement(X_443))
| join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(one,complement(X_443)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)),join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9716,refute_0_9717]) ).
cnf(refute_0_9719,plain,
join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) = join(one,complement(X_443)),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_443),complement(join(X_443,skolemFOFtoCNF_X0)))),join(one,complement(X_443))) )],[refute_0_9707,refute_0_9718]) ).
cnf(refute_0_9720,plain,
( join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)) != join(one,complement(X_443))
| join(one,complement(join(X_443,skolemFOFtoCNF_X0))) != join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443))
| join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(one,complement(X_443)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443))) ),[1],$fot(join(one,complement(X_443)))]]) ).
cnf(refute_0_9721,plain,
( join(one,complement(join(X_443,skolemFOFtoCNF_X0))) != join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443))
| join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(one,complement(X_443)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443)),join(one,complement(X_443))) )],[refute_0_9719,refute_0_9720]) ).
cnf(refute_0_9722,plain,
join(one,complement(join(X_443,skolemFOFtoCNF_X0))) = join(one,complement(X_443)),
inference(resolve,[$cnf( $equal(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),join(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),complement(X_443))) )],[refute_0_9671,refute_0_9721]) ).
cnf(refute_0_9723,plain,
( join(one,complement(join(X_443,skolemFOFtoCNF_X0))) != join(one,complement(X_443))
| meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) != complement(join(one,complement(join(X_443,skolemFOFtoCNF_X0))))
| meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = complement(join(one,complement(X_443))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(X_443,skolemFOFtoCNF_X0)),complement(join(one,complement(join(X_443,skolemFOFtoCNF_X0))))) ),[1,0],$fot(join(one,complement(X_443)))]]) ).
cnf(refute_0_9724,plain,
( meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) != complement(join(one,complement(join(X_443,skolemFOFtoCNF_X0))))
| meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = complement(join(one,complement(X_443))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(X_443,skolemFOFtoCNF_X0))),join(one,complement(X_443))) )],[refute_0_9722,refute_0_9723]) ).
cnf(refute_0_9725,plain,
meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = complement(join(one,complement(X_443))),
inference(resolve,[$cnf( $equal(meet(complement(one),join(X_443,skolemFOFtoCNF_X0)),complement(join(one,complement(join(X_443,skolemFOFtoCNF_X0))))) )],[refute_0_9642,refute_0_9724]) ).
cnf(refute_0_9726,plain,
complement(join(one,complement(X_443))) = meet(complement(one),X_443),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(X_443)),bind(X_31,$fot(one))]]) ).
cnf(refute_0_9727,plain,
( complement(join(one,complement(X_443))) != meet(complement(one),X_443)
| meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) != complement(join(one,complement(X_443)))
| meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = meet(complement(one),X_443) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(X_443,skolemFOFtoCNF_X0)),complement(join(one,complement(X_443)))) ),[1],$fot(meet(complement(one),X_443))]]) ).
cnf(refute_0_9728,plain,
( meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) != complement(join(one,complement(X_443)))
| meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = meet(complement(one),X_443) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_443))),meet(complement(one),X_443)) )],[refute_0_9726,refute_0_9727]) ).
cnf(refute_0_9729,plain,
meet(complement(one),join(X_443,skolemFOFtoCNF_X0)) = meet(complement(one),X_443),
inference(resolve,[$cnf( $equal(meet(complement(one),join(X_443,skolemFOFtoCNF_X0)),complement(join(one,complement(X_443)))) )],[refute_0_9725,refute_0_9728]) ).
cnf(refute_0_9730,plain,
meet(complement(one),join(converse(join(one,X_830)),skolemFOFtoCNF_X0)) = meet(complement(one),converse(join(one,X_830))),
inference(subst,[],[refute_0_9729:[bind(X_443,$fot(converse(join(one,X_830))))]]) ).
cnf(refute_0_9731,plain,
join(one,join(converse(X_830),skolemFOFtoCNF_X0)) = join(converse(join(one,X_830)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_3103:[bind(X_5,$fot(X_830)),bind(X_57,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9732,plain,
( join(one,join(converse(X_830),skolemFOFtoCNF_X0)) != join(converse(join(one,X_830)),skolemFOFtoCNF_X0)
| join(converse(join(one,X_830)),skolemFOFtoCNF_X0) = join(one,join(converse(X_830),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(converse(X_830),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(join(one,X_830)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9733,plain,
join(converse(join(one,X_830)),skolemFOFtoCNF_X0) = join(one,join(converse(X_830),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_830),skolemFOFtoCNF_X0)),join(converse(join(one,X_830)),skolemFOFtoCNF_X0)) )],[refute_0_9731,refute_0_9732]) ).
cnf(refute_0_9734,plain,
( join(converse(join(one,X_830)),skolemFOFtoCNF_X0) != join(one,join(converse(X_830),skolemFOFtoCNF_X0))
| meet(complement(one),join(converse(join(one,X_830)),skolemFOFtoCNF_X0)) != meet(complement(one),converse(join(one,X_830)))
| meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,X_830))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(converse(join(one,X_830)),skolemFOFtoCNF_X0)),meet(complement(one),converse(join(one,X_830)))) ),[0,1],$fot(join(one,join(converse(X_830),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9735,plain,
( meet(complement(one),join(converse(join(one,X_830)),skolemFOFtoCNF_X0)) != meet(complement(one),converse(join(one,X_830)))
| meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,X_830))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_830)),skolemFOFtoCNF_X0),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) )],[refute_0_9733,refute_0_9734]) ).
cnf(refute_0_9736,plain,
meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,X_830))),
inference(resolve,[$cnf( $equal(meet(complement(one),join(converse(join(one,X_830)),skolemFOFtoCNF_X0)),meet(complement(one),converse(join(one,X_830)))) )],[refute_0_9730,refute_0_9735]) ).
cnf(refute_0_9737,plain,
meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0)) = meet(complement(one),converse(X_830)),
inference(subst,[],[refute_0_9729:[bind(X_443,$fot(converse(X_830)))]]) ).
cnf(refute_0_9738,plain,
meet(complement(one),join(one,X_787)) = complement(join(one,complement(join(one,X_787)))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(join(one,X_787))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_9739,plain,
join(one,complement(join(one,X_521))) = join(join(one,complement(join(one,X_521))),meet(complement(X_521),join(one,complement(join(one,X_521))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(X_521))),bind(X_270,$fot(join(one,complement(join(one,X_521)))))]]) ).
cnf(refute_0_9740,plain,
complement(X_300) = join(complement(join(X_300,converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(X_300)),bind(X_96,$fot(converse(join(one,complement(converse(join(one,X_300)))))))]]) ).
cnf(refute_0_9741,plain,
converse(top) = join(X_49,join(one,converse(complement(converse(join(one,X_49)))))),
inference(subst,[],[refute_0_329:[bind(X_19,$fot(X_49)),bind(X_20,$fot(one))]]) ).
cnf(refute_0_9742,plain,
converse(join(one,complement(converse(join(one,X_49))))) = join(one,converse(complement(converse(join(one,X_49))))),
inference(subst,[],[refute_0_395:[bind(X_5,$fot(complement(converse(join(one,X_49)))))]]) ).
cnf(refute_0_9743,plain,
( converse(join(one,complement(converse(join(one,X_49))))) != join(one,converse(complement(converse(join(one,X_49)))))
| join(one,converse(complement(converse(join(one,X_49))))) = converse(join(one,complement(converse(join(one,X_49))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,complement(converse(join(one,X_49))))))),bind(Y,$fot(join(one,converse(complement(converse(join(one,X_49)))))))]]) ).
cnf(refute_0_9744,plain,
join(one,converse(complement(converse(join(one,X_49))))) = converse(join(one,complement(converse(join(one,X_49))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,X_49))))),join(one,converse(complement(converse(join(one,X_49)))))) )],[refute_0_9742,refute_0_9743]) ).
cnf(refute_0_9745,plain,
( converse(top) != join(X_49,join(one,converse(complement(converse(join(one,X_49))))))
| join(one,converse(complement(converse(join(one,X_49))))) != converse(join(one,complement(converse(join(one,X_49)))))
| converse(top) = join(X_49,converse(join(one,complement(converse(join(one,X_49)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_49,join(one,converse(complement(converse(join(one,X_49))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(one,X_49))))))]]) ).
cnf(refute_0_9746,plain,
( converse(top) != join(X_49,join(one,converse(complement(converse(join(one,X_49))))))
| converse(top) = join(X_49,converse(join(one,complement(converse(join(one,X_49)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(one,X_49))))),converse(join(one,complement(converse(join(one,X_49)))))) )],[refute_0_9744,refute_0_9745]) ).
cnf(refute_0_9747,plain,
converse(top) = join(X_49,converse(join(one,complement(converse(join(one,X_49)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_49,join(one,converse(complement(converse(join(one,X_49))))))) )],[refute_0_9741,refute_0_9746]) ).
cnf(refute_0_9748,plain,
( converse(top) != join(X_49,converse(join(one,complement(converse(join(one,X_49))))))
| converse(top) != top
| top = join(X_49,converse(join(one,complement(converse(join(one,X_49)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_49,converse(join(one,complement(converse(join(one,X_49))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_9749,plain,
( converse(top) != join(X_49,converse(join(one,complement(converse(join(one,X_49))))))
| top = join(X_49,converse(join(one,complement(converse(join(one,X_49)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_9748]) ).
cnf(refute_0_9750,plain,
top = join(X_49,converse(join(one,complement(converse(join(one,X_49)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_49,converse(join(one,complement(converse(join(one,X_49))))))) )],[refute_0_9747,refute_0_9749]) ).
cnf(refute_0_9751,plain,
top = join(X_300,converse(join(one,complement(converse(join(one,X_300)))))),
inference(subst,[],[refute_0_9750:[bind(X_49,$fot(X_300))]]) ).
cnf(refute_0_9752,plain,
( top != join(X_300,converse(join(one,complement(converse(join(one,X_300))))))
| join(X_300,converse(join(one,complement(converse(join(one,X_300)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_300,converse(join(one,complement(converse(join(one,X_300))))))))]]) ).
cnf(refute_0_9753,plain,
join(X_300,converse(join(one,complement(converse(join(one,X_300)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_300,converse(join(one,complement(converse(join(one,X_300))))))) )],[refute_0_9751,refute_0_9752]) ).
cnf(refute_0_9754,plain,
( complement(X_300) != join(complement(join(X_300,converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))
| join(X_300,converse(join(one,complement(converse(join(one,X_300)))))) != top
| complement(X_300) = join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_300),join(complement(join(X_300,converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_9755,plain,
( complement(X_300) != join(complement(join(X_300,converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))
| complement(X_300) = join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) ),
inference(resolve,[$cnf( $equal(join(X_300,converse(join(one,complement(converse(join(one,X_300)))))),top) )],[refute_0_9753,refute_0_9754]) ).
cnf(refute_0_9756,plain,
complement(X_300) = join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(join(X_300,converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))) )],[refute_0_9740,refute_0_9755]) ).
cnf(refute_0_9757,plain,
join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))))]]) ).
cnf(refute_0_9758,plain,
join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))))]]) ).
cnf(refute_0_9759,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) != join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9760,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))) )],[refute_0_9758,refute_0_9759]) ).
cnf(refute_0_9761,plain,
join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9760]) ).
cnf(refute_0_9762,plain,
( join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) != join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))
| join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) != meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))))),bind(Y,$fot(join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))))),bind(Z,$fot(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))))]]) ).
cnf(refute_0_9763,plain,
( join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) != meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))) )],[refute_0_9761,refute_0_9762]) ).
cnf(refute_0_9764,plain,
join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) )],[refute_0_9757,refute_0_9763]) ).
cnf(refute_0_9765,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))
| join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) != meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))
| complement(X_300) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_300),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) ),[0],$fot(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))))]]) ).
cnf(refute_0_9766,plain,
( complement(X_300) != join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))
| complement(X_300) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) )],[refute_0_9764,refute_0_9765]) ).
cnf(refute_0_9767,plain,
complement(X_300) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),
inference(resolve,[$cnf( $equal(complement(X_300),join(complement(top),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))) )],[refute_0_9756,refute_0_9766]) ).
cnf(refute_0_9768,plain,
converse(join(one,complement(converse(join(one,X_300))))) = join(one,complement(join(one,X_300))),
inference(subst,[],[refute_0_6583:[bind(X_313,$fot(join(one,X_300)))]]) ).
cnf(refute_0_9769,plain,
meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) = meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),
introduced(tautology,[refl,[$fot(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))]]) ).
cnf(refute_0_9770,plain,
( converse(join(one,complement(converse(join(one,X_300))))) != join(one,complement(join(one,X_300)))
| meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) != meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))
| meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) = meet(complement(X_300),join(one,complement(join(one,X_300)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) ),[1,1],$fot(join(one,complement(join(one,X_300))))]]) ).
cnf(refute_0_9771,plain,
( converse(join(one,complement(converse(join(one,X_300))))) != join(one,complement(join(one,X_300)))
| meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) = meet(complement(X_300),join(one,complement(join(one,X_300)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) )],[refute_0_9769,refute_0_9770]) ).
cnf(refute_0_9772,plain,
meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) = meet(complement(X_300),join(one,complement(join(one,X_300)))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,X_300))))),join(one,complement(join(one,X_300)))) )],[refute_0_9768,refute_0_9771]) ).
cnf(refute_0_9773,plain,
( complement(X_300) != meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))
| meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))) != meet(complement(X_300),join(one,complement(join(one,X_300))))
| complement(X_300) = meet(complement(X_300),join(one,complement(join(one,X_300)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_300),meet(complement(X_300),join(one,complement(join(one,X_300))))) ),[0],$fot(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))))]]) ).
cnf(refute_0_9774,plain,
( complement(X_300) != meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))
| complement(X_300) = meet(complement(X_300),join(one,complement(join(one,X_300)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300)))))),meet(complement(X_300),join(one,complement(join(one,X_300))))) )],[refute_0_9772,refute_0_9773]) ).
cnf(refute_0_9775,plain,
complement(X_300) = meet(complement(X_300),join(one,complement(join(one,X_300)))),
inference(resolve,[$cnf( $equal(complement(X_300),meet(complement(X_300),converse(join(one,complement(converse(join(one,X_300))))))) )],[refute_0_9767,refute_0_9774]) ).
cnf(refute_0_9776,plain,
complement(X_521) = meet(complement(X_521),join(one,complement(join(one,X_521)))),
inference(subst,[],[refute_0_9775:[bind(X_300,$fot(X_521))]]) ).
cnf(refute_0_9777,plain,
( complement(X_521) != meet(complement(X_521),join(one,complement(join(one,X_521))))
| meet(complement(X_521),join(one,complement(join(one,X_521)))) = complement(X_521) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_521))),bind(Y,$fot(meet(complement(X_521),join(one,complement(join(one,X_521))))))]]) ).
cnf(refute_0_9778,plain,
meet(complement(X_521),join(one,complement(join(one,X_521)))) = complement(X_521),
inference(resolve,[$cnf( $equal(complement(X_521),meet(complement(X_521),join(one,complement(join(one,X_521))))) )],[refute_0_9776,refute_0_9777]) ).
cnf(refute_0_9779,plain,
( join(one,complement(join(one,X_521))) != join(join(one,complement(join(one,X_521))),meet(complement(X_521),join(one,complement(join(one,X_521)))))
| meet(complement(X_521),join(one,complement(join(one,X_521)))) != complement(X_521)
| join(one,complement(join(one,X_521))) = join(join(one,complement(join(one,X_521))),complement(X_521)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(one,X_521))),join(join(one,complement(join(one,X_521))),meet(complement(X_521),join(one,complement(join(one,X_521)))))) ),[1,1],$fot(complement(X_521))]]) ).
cnf(refute_0_9780,plain,
( join(one,complement(join(one,X_521))) != join(join(one,complement(join(one,X_521))),meet(complement(X_521),join(one,complement(join(one,X_521)))))
| join(one,complement(join(one,X_521))) = join(join(one,complement(join(one,X_521))),complement(X_521)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_521),join(one,complement(join(one,X_521)))),complement(X_521)) )],[refute_0_9778,refute_0_9779]) ).
cnf(refute_0_9781,plain,
join(one,complement(join(one,X_521))) = join(join(one,complement(join(one,X_521))),complement(X_521)),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,X_521))),join(join(one,complement(join(one,X_521))),meet(complement(X_521),join(one,complement(join(one,X_521)))))) )],[refute_0_9739,refute_0_9780]) ).
cnf(refute_0_9782,plain,
meet(X_521,join(one,X_521)) = X_521,
inference(subst,[],[refute_0_6353:[bind(X1,$fot(one)),bind(X_171,$fot(X_521))]]) ).
cnf(refute_0_9783,plain,
complement(meet(X_521,join(one,X_521))) = complement(meet(X_521,join(one,X_521))),
introduced(tautology,[refl,[$fot(complement(meet(X_521,join(one,X_521))))]]) ).
cnf(refute_0_9784,plain,
( complement(meet(X_521,join(one,X_521))) != complement(meet(X_521,join(one,X_521)))
| meet(X_521,join(one,X_521)) != X_521
| complement(meet(X_521,join(one,X_521))) = complement(X_521) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_521,join(one,X_521))),complement(meet(X_521,join(one,X_521)))) ),[1,0],$fot(X_521)]]) ).
cnf(refute_0_9785,plain,
( meet(X_521,join(one,X_521)) != X_521
| complement(meet(X_521,join(one,X_521))) = complement(X_521) ),
inference(resolve,[$cnf( $equal(complement(meet(X_521,join(one,X_521))),complement(meet(X_521,join(one,X_521)))) )],[refute_0_9783,refute_0_9784]) ).
cnf(refute_0_9786,plain,
complement(meet(X_521,join(one,X_521))) = complement(X_521),
inference(resolve,[$cnf( $equal(meet(X_521,join(one,X_521)),X_521) )],[refute_0_9782,refute_0_9785]) ).
cnf(refute_0_9787,plain,
join(complement(X_521),complement(join(one,X_521))) = complement(meet(X_521,join(one,X_521))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(X_521)),bind(X1,$fot(join(one,X_521)))]]) ).
cnf(refute_0_9788,plain,
( complement(meet(X_521,join(one,X_521))) != complement(X_521)
| join(complement(X_521),complement(join(one,X_521))) != complement(meet(X_521,join(one,X_521)))
| join(complement(X_521),complement(join(one,X_521))) = complement(X_521) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_521),complement(join(one,X_521))))),bind(Y,$fot(complement(meet(X_521,join(one,X_521))))),bind(Z,$fot(complement(X_521)))]]) ).
cnf(refute_0_9789,plain,
( complement(meet(X_521,join(one,X_521))) != complement(X_521)
| join(complement(X_521),complement(join(one,X_521))) = complement(X_521) ),
inference(resolve,[$cnf( $equal(join(complement(X_521),complement(join(one,X_521))),complement(meet(X_521,join(one,X_521)))) )],[refute_0_9787,refute_0_9788]) ).
cnf(refute_0_9790,plain,
join(complement(X_521),complement(join(one,X_521))) = complement(X_521),
inference(resolve,[$cnf( $equal(complement(meet(X_521,join(one,X_521))),complement(X_521)) )],[refute_0_9786,refute_0_9789]) ).
cnf(refute_0_9791,plain,
join(one,join(complement(X_521),complement(join(one,X_521)))) = join(one,join(complement(X_521),complement(join(one,X_521)))),
introduced(tautology,[refl,[$fot(join(one,join(complement(X_521),complement(join(one,X_521)))))]]) ).
cnf(refute_0_9792,plain,
( join(complement(X_521),complement(join(one,X_521))) != complement(X_521)
| join(one,join(complement(X_521),complement(join(one,X_521)))) != join(one,join(complement(X_521),complement(join(one,X_521))))
| join(one,join(complement(X_521),complement(join(one,X_521)))) = join(one,complement(X_521)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(X_521),complement(join(one,X_521)))),join(one,join(complement(X_521),complement(join(one,X_521))))) ),[1,1],$fot(complement(X_521))]]) ).
cnf(refute_0_9793,plain,
( join(complement(X_521),complement(join(one,X_521))) != complement(X_521)
| join(one,join(complement(X_521),complement(join(one,X_521)))) = join(one,complement(X_521)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_521),complement(join(one,X_521)))),join(one,join(complement(X_521),complement(join(one,X_521))))) )],[refute_0_9791,refute_0_9792]) ).
cnf(refute_0_9794,plain,
join(one,join(complement(X_521),complement(join(one,X_521)))) = join(one,complement(X_521)),
inference(resolve,[$cnf( $equal(join(complement(X_521),complement(join(one,X_521))),complement(X_521)) )],[refute_0_9790,refute_0_9793]) ).
cnf(refute_0_9795,plain,
join(one,join(complement(join(one,X_521)),complement(X_521))) = join(one,join(complement(X_521),complement(join(one,X_521)))),
inference(subst,[],[refute_0_6415:[bind(X_288,$fot(complement(X_521))),bind(X_289,$fot(complement(join(one,X_521))))]]) ).
cnf(refute_0_9796,plain,
join(complement(X_521),join(one,complement(join(one,X_521)))) = join(one,join(complement(join(one,X_521)),complement(X_521))),
inference(subst,[],[refute_0_4699:[bind(X0,$fot(one)),bind(X1,$fot(complement(join(one,X_521)))),bind(X_517,$fot(complement(X_521)))]]) ).
cnf(refute_0_9797,plain,
( join(complement(X_521),join(one,complement(join(one,X_521)))) != join(one,join(complement(join(one,X_521)),complement(X_521)))
| join(one,join(complement(join(one,X_521)),complement(X_521))) != join(one,join(complement(X_521),complement(join(one,X_521))))
| join(complement(X_521),join(one,complement(join(one,X_521)))) = join(one,join(complement(X_521),complement(join(one,X_521)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_521),join(one,complement(join(one,X_521)))))),bind(Y,$fot(join(one,join(complement(join(one,X_521)),complement(X_521))))),bind(Z,$fot(join(one,join(complement(X_521),complement(join(one,X_521))))))]]) ).
cnf(refute_0_9798,plain,
( join(one,join(complement(join(one,X_521)),complement(X_521))) != join(one,join(complement(X_521),complement(join(one,X_521))))
| join(complement(X_521),join(one,complement(join(one,X_521)))) = join(one,join(complement(X_521),complement(join(one,X_521)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_521),join(one,complement(join(one,X_521)))),join(one,join(complement(join(one,X_521)),complement(X_521)))) )],[refute_0_9796,refute_0_9797]) ).
cnf(refute_0_9799,plain,
join(complement(X_521),join(one,complement(join(one,X_521)))) = join(one,join(complement(X_521),complement(join(one,X_521)))),
inference(resolve,[$cnf( $equal(join(one,join(complement(join(one,X_521)),complement(X_521))),join(one,join(complement(X_521),complement(join(one,X_521))))) )],[refute_0_9795,refute_0_9798]) ).
cnf(refute_0_9800,plain,
join(join(one,complement(join(one,X_521))),complement(X_521)) = join(complement(X_521),join(one,complement(join(one,X_521)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(X_521))),bind(X_95,$fot(join(one,complement(join(one,X_521)))))]]) ).
cnf(refute_0_9801,plain,
( join(complement(X_521),join(one,complement(join(one,X_521)))) != join(one,join(complement(X_521),complement(join(one,X_521))))
| join(join(one,complement(join(one,X_521))),complement(X_521)) != join(complement(X_521),join(one,complement(join(one,X_521))))
| join(join(one,complement(join(one,X_521))),complement(X_521)) = join(one,join(complement(X_521),complement(join(one,X_521)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(join(one,X_521))),complement(X_521)))),bind(Y,$fot(join(complement(X_521),join(one,complement(join(one,X_521)))))),bind(Z,$fot(join(one,join(complement(X_521),complement(join(one,X_521))))))]]) ).
cnf(refute_0_9802,plain,
( join(complement(X_521),join(one,complement(join(one,X_521)))) != join(one,join(complement(X_521),complement(join(one,X_521))))
| join(join(one,complement(join(one,X_521))),complement(X_521)) = join(one,join(complement(X_521),complement(join(one,X_521)))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(one,X_521))),complement(X_521)),join(complement(X_521),join(one,complement(join(one,X_521))))) )],[refute_0_9800,refute_0_9801]) ).
cnf(refute_0_9803,plain,
join(join(one,complement(join(one,X_521))),complement(X_521)) = join(one,join(complement(X_521),complement(join(one,X_521)))),
inference(resolve,[$cnf( $equal(join(complement(X_521),join(one,complement(join(one,X_521)))),join(one,join(complement(X_521),complement(join(one,X_521))))) )],[refute_0_9799,refute_0_9802]) ).
cnf(refute_0_9804,plain,
( join(join(one,complement(join(one,X_521))),complement(X_521)) != join(one,join(complement(X_521),complement(join(one,X_521))))
| join(one,join(complement(X_521),complement(join(one,X_521)))) != join(one,complement(X_521))
| join(join(one,complement(join(one,X_521))),complement(X_521)) = join(one,complement(X_521)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(join(one,X_521))),complement(X_521)))),bind(Y,$fot(join(one,join(complement(X_521),complement(join(one,X_521)))))),bind(Z,$fot(join(one,complement(X_521))))]]) ).
cnf(refute_0_9805,plain,
( join(one,join(complement(X_521),complement(join(one,X_521)))) != join(one,complement(X_521))
| join(join(one,complement(join(one,X_521))),complement(X_521)) = join(one,complement(X_521)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(one,X_521))),complement(X_521)),join(one,join(complement(X_521),complement(join(one,X_521))))) )],[refute_0_9803,refute_0_9804]) ).
cnf(refute_0_9806,plain,
join(join(one,complement(join(one,X_521))),complement(X_521)) = join(one,complement(X_521)),
inference(resolve,[$cnf( $equal(join(one,join(complement(X_521),complement(join(one,X_521)))),join(one,complement(X_521))) )],[refute_0_9794,refute_0_9805]) ).
cnf(refute_0_9807,plain,
( join(join(one,complement(join(one,X_521))),complement(X_521)) != join(one,complement(X_521))
| join(one,complement(join(one,X_521))) != join(join(one,complement(join(one,X_521))),complement(X_521))
| join(one,complement(join(one,X_521))) = join(one,complement(X_521)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(join(one,X_521))),join(join(one,complement(join(one,X_521))),complement(X_521))) ),[1],$fot(join(one,complement(X_521)))]]) ).
cnf(refute_0_9808,plain,
( join(one,complement(join(one,X_521))) != join(join(one,complement(join(one,X_521))),complement(X_521))
| join(one,complement(join(one,X_521))) = join(one,complement(X_521)) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(join(one,X_521))),complement(X_521)),join(one,complement(X_521))) )],[refute_0_9806,refute_0_9807]) ).
cnf(refute_0_9809,plain,
join(one,complement(join(one,X_521))) = join(one,complement(X_521)),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,X_521))),join(join(one,complement(join(one,X_521))),complement(X_521))) )],[refute_0_9781,refute_0_9808]) ).
cnf(refute_0_9810,plain,
join(one,complement(join(one,X_787))) = join(one,complement(X_787)),
inference(subst,[],[refute_0_9809:[bind(X_521,$fot(X_787))]]) ).
cnf(refute_0_9811,plain,
( join(one,complement(join(one,X_787))) != join(one,complement(X_787))
| meet(complement(one),join(one,X_787)) != complement(join(one,complement(join(one,X_787))))
| meet(complement(one),join(one,X_787)) = complement(join(one,complement(X_787))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(one,X_787)),complement(join(one,complement(join(one,X_787))))) ),[1,0],$fot(join(one,complement(X_787)))]]) ).
cnf(refute_0_9812,plain,
( meet(complement(one),join(one,X_787)) != complement(join(one,complement(join(one,X_787))))
| meet(complement(one),join(one,X_787)) = complement(join(one,complement(X_787))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,X_787))),join(one,complement(X_787))) )],[refute_0_9810,refute_0_9811]) ).
cnf(refute_0_9813,plain,
meet(complement(one),join(one,X_787)) = complement(join(one,complement(X_787))),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,X_787)),complement(join(one,complement(join(one,X_787))))) )],[refute_0_9738,refute_0_9812]) ).
cnf(refute_0_9814,plain,
complement(join(one,complement(X_787))) = meet(complement(one),X_787),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(X_787)),bind(X_31,$fot(one))]]) ).
cnf(refute_0_9815,plain,
( complement(join(one,complement(X_787))) != meet(complement(one),X_787)
| meet(complement(one),join(one,X_787)) != complement(join(one,complement(X_787)))
| meet(complement(one),join(one,X_787)) = meet(complement(one),X_787) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(one,X_787)),complement(join(one,complement(X_787)))) ),[1],$fot(meet(complement(one),X_787))]]) ).
cnf(refute_0_9816,plain,
( meet(complement(one),join(one,X_787)) != complement(join(one,complement(X_787)))
| meet(complement(one),join(one,X_787)) = meet(complement(one),X_787) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(X_787))),meet(complement(one),X_787)) )],[refute_0_9814,refute_0_9815]) ).
cnf(refute_0_9817,plain,
meet(complement(one),join(one,X_787)) = meet(complement(one),X_787),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,X_787)),complement(join(one,complement(X_787)))) )],[refute_0_9813,refute_0_9816]) ).
cnf(refute_0_9818,plain,
meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9817:[bind(X_787,$fot(join(converse(X_830),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9819,plain,
( meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0)) != meet(complement(one),converse(X_830))
| meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) != meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0))
| meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),converse(X_830)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(complement(one),converse(X_830))))]]) ).
cnf(refute_0_9820,plain,
( meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0)) != meet(complement(one),converse(X_830))
| meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),converse(X_830)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))),meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0))) )],[refute_0_9818,refute_0_9819]) ).
cnf(refute_0_9821,plain,
meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) = meet(complement(one),converse(X_830)),
inference(resolve,[$cnf( $equal(meet(complement(one),join(converse(X_830),skolemFOFtoCNF_X0)),meet(complement(one),converse(X_830))) )],[refute_0_9737,refute_0_9820]) ).
cnf(refute_0_9822,plain,
( meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) != meet(complement(one),converse(X_830))
| meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,X_830)))
| meet(complement(one),converse(X_830)) = meet(complement(one),converse(join(one,X_830))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))),meet(complement(one),converse(join(one,X_830)))) ),[0],$fot(meet(complement(one),converse(X_830)))]]) ).
cnf(refute_0_9823,plain,
( meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,X_830)))
| meet(complement(one),converse(X_830)) = meet(complement(one),converse(join(one,X_830))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))),meet(complement(one),converse(X_830))) )],[refute_0_9821,refute_0_9822]) ).
cnf(refute_0_9824,plain,
meet(complement(one),converse(X_830)) = meet(complement(one),converse(join(one,X_830))),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,join(converse(X_830),skolemFOFtoCNF_X0))),meet(complement(one),converse(join(one,X_830)))) )],[refute_0_9736,refute_0_9823]) ).
cnf(refute_0_9825,plain,
meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,composition(complement(one),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9824:[bind(X_830,$fot(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9826,plain,
join(one,join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))) = join(one,composition(X_154,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(composition(X_154,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9827,plain,
composition(join(X_154,one),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(X_154)),bind(X_146,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9828,plain,
( composition(join(X_154,one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0)) = composition(join(X_154,one),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_154,one),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9829,plain,
join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0)) = composition(join(X_154,one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X_154,one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))) )],[refute_0_9827,refute_0_9828]) ).
cnf(refute_0_9830,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))) != join(one,composition(X_154,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0)) != composition(join(X_154,one),skolemFOFtoCNF_X0)
| join(one,composition(join(X_154,one),skolemFOFtoCNF_X0)) = join(one,composition(X_154,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))),join(one,composition(X_154,skolemFOFtoCNF_X0))) ),[0,1],$fot(composition(join(X_154,one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9831,plain,
( join(one,join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))) != join(one,composition(X_154,skolemFOFtoCNF_X0))
| join(one,composition(join(X_154,one),skolemFOFtoCNF_X0)) = join(one,composition(X_154,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0)),composition(join(X_154,one),skolemFOFtoCNF_X0)) )],[refute_0_9829,refute_0_9830]) ).
cnf(refute_0_9832,plain,
join(one,composition(join(X_154,one),skolemFOFtoCNF_X0)) = join(one,composition(X_154,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,composition(X_154,skolemFOFtoCNF_X0))),join(one,composition(X_154,skolemFOFtoCNF_X0))) )],[refute_0_9826,refute_0_9831]) ).
cnf(refute_0_9833,plain,
join(one,composition(join(X_206,one),skolemFOFtoCNF_X0)) = join(one,composition(X_206,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9832:[bind(X_154,$fot(X_206))]]) ).
cnf(refute_0_9834,plain,
join(one,X_206) = join(X_206,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_206))]]) ).
cnf(refute_0_9835,plain,
( join(one,X_206) != join(X_206,one)
| join(X_206,one) = join(one,X_206) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_206))),bind(Y,$fot(join(X_206,one)))]]) ).
cnf(refute_0_9836,plain,
join(X_206,one) = join(one,X_206),
inference(resolve,[$cnf( $equal(join(one,X_206),join(X_206,one)) )],[refute_0_9834,refute_0_9835]) ).
cnf(refute_0_9837,plain,
( join(X_206,one) != join(one,X_206)
| join(one,composition(join(X_206,one),skolemFOFtoCNF_X0)) != join(one,composition(X_206,skolemFOFtoCNF_X0))
| join(one,composition(join(one,X_206),skolemFOFtoCNF_X0)) = join(one,composition(X_206,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(X_206,one),skolemFOFtoCNF_X0)),join(one,composition(X_206,skolemFOFtoCNF_X0))) ),[0,1,0],$fot(join(one,X_206))]]) ).
cnf(refute_0_9838,plain,
( join(one,composition(join(X_206,one),skolemFOFtoCNF_X0)) != join(one,composition(X_206,skolemFOFtoCNF_X0))
| join(one,composition(join(one,X_206),skolemFOFtoCNF_X0)) = join(one,composition(X_206,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(X_206,one),join(one,X_206)) )],[refute_0_9836,refute_0_9837]) ).
cnf(refute_0_9839,plain,
join(one,composition(join(one,X_206),skolemFOFtoCNF_X0)) = join(one,composition(X_206,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(X_206,one),skolemFOFtoCNF_X0)),join(one,composition(X_206,skolemFOFtoCNF_X0))) )],[refute_0_9833,refute_0_9838]) ).
cnf(refute_0_9840,plain,
join(one,composition(join(one,complement(one)),skolemFOFtoCNF_X0)) = join(one,composition(complement(one),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(complement(one)))]]) ).
cnf(refute_0_9841,plain,
( join(one,complement(one)) != top
| join(one,composition(join(one,complement(one)),skolemFOFtoCNF_X0)) != join(one,composition(complement(one),skolemFOFtoCNF_X0))
| join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(one),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,complement(one)),skolemFOFtoCNF_X0)),join(one,composition(complement(one),skolemFOFtoCNF_X0))) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_9842,plain,
( join(one,composition(join(one,complement(one)),skolemFOFtoCNF_X0)) != join(one,composition(complement(one),skolemFOFtoCNF_X0))
| join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(one),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_501,refute_0_9841]) ).
cnf(refute_0_9843,plain,
join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(one),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,complement(one)),skolemFOFtoCNF_X0)),join(one,composition(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_9840,refute_0_9842]) ).
cnf(refute_0_9844,plain,
( join(one,composition(top,skolemFOFtoCNF_X0)) != join(one,composition(complement(one),skolemFOFtoCNF_X0))
| join(one,composition(complement(one),skolemFOFtoCNF_X0)) = join(one,composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,composition(complement(one),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9845,plain,
join(one,composition(complement(one),skolemFOFtoCNF_X0)) = join(one,composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(top,skolemFOFtoCNF_X0)),join(one,composition(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_9843,refute_0_9844]) ).
cnf(refute_0_9846,plain,
( join(one,composition(complement(one),skolemFOFtoCNF_X0)) != join(one,composition(top,skolemFOFtoCNF_X0))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),converse(join(one,composition(complement(one),skolemFOFtoCNF_X0))))) ),[1,1,0],$fot(join(one,composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9847,plain,
( meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(one),skolemFOFtoCNF_X0)),join(one,composition(top,skolemFOFtoCNF_X0))) )],[refute_0_9845,refute_0_9846]) ).
cnf(refute_0_9848,plain,
meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),converse(join(one,composition(complement(one),skolemFOFtoCNF_X0))))) )],[refute_0_9825,refute_0_9847]) ).
cnf(refute_0_9849,plain,
composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1143:[bind(X_108,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(X_109,$fot(one))]]) ).
cnf(refute_0_9850,plain,
meet(one,converse(meet(complement(one),X_543))) = complement(complement(meet(one,converse(meet(complement(one),X_543))))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(one,converse(meet(complement(one),X_543)))))]]) ).
cnf(refute_0_9851,plain,
top = join(join(X_55,X_56),complement(join(X_55,X_56))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(join(X_55,X_56)))]]) ).
cnf(refute_0_9852,plain,
join(X_55,join(X_56,complement(join(X_55,X_56)))) = join(join(X_55,X_56),complement(join(X_55,X_56))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_55)),bind(X1,$fot(X_56)),bind(X2,$fot(complement(join(X_55,X_56))))]]) ).
cnf(refute_0_9853,plain,
( join(X_55,join(X_56,complement(join(X_55,X_56)))) != join(join(X_55,X_56),complement(join(X_55,X_56)))
| join(join(X_55,X_56),complement(join(X_55,X_56))) = join(X_55,join(X_56,complement(join(X_55,X_56)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(X_56,complement(join(X_55,X_56)))))),bind(Y,$fot(join(join(X_55,X_56),complement(join(X_55,X_56)))))]]) ).
cnf(refute_0_9854,plain,
join(join(X_55,X_56),complement(join(X_55,X_56))) = join(X_55,join(X_56,complement(join(X_55,X_56)))),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,complement(join(X_55,X_56)))),join(join(X_55,X_56),complement(join(X_55,X_56)))) )],[refute_0_9852,refute_0_9853]) ).
cnf(refute_0_9855,plain,
( join(join(X_55,X_56),complement(join(X_55,X_56))) != join(X_55,join(X_56,complement(join(X_55,X_56))))
| top != join(join(X_55,X_56),complement(join(X_55,X_56)))
| top = join(X_55,join(X_56,complement(join(X_55,X_56)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_55,X_56),complement(join(X_55,X_56)))) ),[1],$fot(join(X_55,join(X_56,complement(join(X_55,X_56)))))]]) ).
cnf(refute_0_9856,plain,
( top != join(join(X_55,X_56),complement(join(X_55,X_56)))
| top = join(X_55,join(X_56,complement(join(X_55,X_56)))) ),
inference(resolve,[$cnf( $equal(join(join(X_55,X_56),complement(join(X_55,X_56))),join(X_55,join(X_56,complement(join(X_55,X_56))))) )],[refute_0_9854,refute_0_9855]) ).
cnf(refute_0_9857,plain,
top = join(X_55,join(X_56,complement(join(X_55,X_56)))),
inference(resolve,[$cnf( $equal(top,join(join(X_55,X_56),complement(join(X_55,X_56)))) )],[refute_0_9851,refute_0_9856]) ).
cnf(refute_0_9858,plain,
top = join(complement(one),join(converse(X_4),complement(join(complement(one),converse(X_4))))),
inference(subst,[],[refute_0_9857:[bind(X_55,$fot(complement(one))),bind(X_56,$fot(converse(X_4)))]]) ).
cnf(refute_0_9859,plain,
( join(complement(one),converse(X_4)) != converse(join(X_4,complement(one)))
| top != join(complement(one),join(converse(X_4),complement(join(complement(one),converse(X_4)))))
| top = join(complement(one),join(converse(X_4),complement(converse(join(X_4,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(X_4),complement(join(complement(one),converse(X_4)))))) ),[1,1,1,0],$fot(converse(join(X_4,complement(one))))]]) ).
cnf(refute_0_9860,plain,
( top != join(complement(one),join(converse(X_4),complement(join(complement(one),converse(X_4)))))
| top = join(complement(one),join(converse(X_4),complement(converse(join(X_4,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(X_4)),converse(join(X_4,complement(one)))) )],[refute_0_5670,refute_0_9859]) ).
cnf(refute_0_9861,plain,
top = join(complement(one),join(converse(X_4),complement(converse(join(X_4,complement(one)))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(X_4),complement(join(complement(one),converse(X_4)))))) )],[refute_0_9858,refute_0_9860]) ).
cnf(refute_0_9862,plain,
top = join(complement(one),join(converse(X_282),complement(converse(join(X_282,complement(one)))))),
inference(subst,[],[refute_0_9861:[bind(X_4,$fot(X_282))]]) ).
cnf(refute_0_9863,plain,
join(complement(one),X_282) = join(X_282,complement(one)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(one))),bind(X1,$fot(X_282))]]) ).
cnf(refute_0_9864,plain,
( join(complement(one),X_282) != join(X_282,complement(one))
| join(X_282,complement(one)) = join(complement(one),X_282) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(one),X_282))),bind(Y,$fot(join(X_282,complement(one))))]]) ).
cnf(refute_0_9865,plain,
join(X_282,complement(one)) = join(complement(one),X_282),
inference(resolve,[$cnf( $equal(join(complement(one),X_282),join(X_282,complement(one))) )],[refute_0_9863,refute_0_9864]) ).
cnf(refute_0_9866,plain,
( join(X_282,complement(one)) != join(complement(one),X_282)
| top != join(complement(one),join(converse(X_282),complement(converse(join(X_282,complement(one))))))
| top = join(complement(one),join(converse(X_282),complement(converse(join(complement(one),X_282))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(X_282),complement(converse(join(X_282,complement(one))))))) ),[1,1,1,0,0],$fot(join(complement(one),X_282))]]) ).
cnf(refute_0_9867,plain,
( top != join(complement(one),join(converse(X_282),complement(converse(join(X_282,complement(one))))))
| top = join(complement(one),join(converse(X_282),complement(converse(join(complement(one),X_282))))) ),
inference(resolve,[$cnf( $equal(join(X_282,complement(one)),join(complement(one),X_282)) )],[refute_0_9865,refute_0_9866]) ).
cnf(refute_0_9868,plain,
top = join(complement(one),join(converse(X_282),complement(converse(join(complement(one),X_282))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(X_282),complement(converse(join(X_282,complement(one))))))) )],[refute_0_9862,refute_0_9867]) ).
cnf(refute_0_9869,plain,
top = join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(join(complement(one),complement(meet(complement(one),X_542))))))),
inference(subst,[],[refute_0_9868:[bind(X_282,$fot(complement(meet(complement(one),X_542))))]]) ).
cnf(refute_0_9870,plain,
top = join(X_349,complement(meet(X_350,X_349))),
inference(subst,[],[refute_0_8377:[bind(X1,$fot(X_349)),bind(X_35,$fot(X_350))]]) ).
cnf(refute_0_9871,plain,
meet(X_349,X_350) = meet(X_350,X_349),
inference(subst,[],[refute_0_241:[bind(X_27,$fot(X_349)),bind(X_28,$fot(X_350))]]) ).
cnf(refute_0_9872,plain,
( meet(X_349,X_350) != meet(X_350,X_349)
| meet(X_350,X_349) = meet(X_349,X_350) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_349,X_350))),bind(Y,$fot(meet(X_350,X_349)))]]) ).
cnf(refute_0_9873,plain,
meet(X_350,X_349) = meet(X_349,X_350),
inference(resolve,[$cnf( $equal(meet(X_349,X_350),meet(X_350,X_349)) )],[refute_0_9871,refute_0_9872]) ).
cnf(refute_0_9874,plain,
( meet(X_350,X_349) != meet(X_349,X_350)
| top != join(X_349,complement(meet(X_350,X_349)))
| top = join(X_349,complement(meet(X_349,X_350))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_349,complement(meet(X_350,X_349)))) ),[1,1,0],$fot(meet(X_349,X_350))]]) ).
cnf(refute_0_9875,plain,
( top != join(X_349,complement(meet(X_350,X_349)))
| top = join(X_349,complement(meet(X_349,X_350))) ),
inference(resolve,[$cnf( $equal(meet(X_350,X_349),meet(X_349,X_350)) )],[refute_0_9873,refute_0_9874]) ).
cnf(refute_0_9876,plain,
top = join(X_349,complement(meet(X_349,X_350))),
inference(resolve,[$cnf( $equal(top,join(X_349,complement(meet(X_350,X_349)))) )],[refute_0_9870,refute_0_9875]) ).
cnf(refute_0_9877,plain,
top = join(complement(one),complement(meet(complement(one),X_542))),
inference(subst,[],[refute_0_9876:[bind(X_349,$fot(complement(one))),bind(X_350,$fot(X_542))]]) ).
cnf(refute_0_9878,plain,
( top != join(complement(one),complement(meet(complement(one),X_542)))
| join(complement(one),complement(meet(complement(one),X_542))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),complement(meet(complement(one),X_542)))))]]) ).
cnf(refute_0_9879,plain,
join(complement(one),complement(meet(complement(one),X_542))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),complement(meet(complement(one),X_542)))) )],[refute_0_9877,refute_0_9878]) ).
cnf(refute_0_9880,plain,
( join(complement(one),complement(meet(complement(one),X_542))) != top
| top != join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(join(complement(one),complement(meet(complement(one),X_542)))))))
| top = join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(join(complement(one),complement(meet(complement(one),X_542)))))))) ),[1,1,1,0,0],$fot(top)]]) ).
cnf(refute_0_9881,plain,
( top != join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(join(complement(one),complement(meet(complement(one),X_542)))))))
| top = join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(complement(one),X_542))),top) )],[refute_0_9879,refute_0_9880]) ).
cnf(refute_0_9882,plain,
top = join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(join(complement(one),complement(meet(complement(one),X_542)))))))) )],[refute_0_9869,refute_0_9881]) ).
cnf(refute_0_9883,plain,
join(complement(one),complement(converse(meet(complement(one),X_542)))) = complement(meet(one,converse(meet(complement(one),X_542)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(one)),bind(X1,$fot(converse(meet(complement(one),X_542))))]]) ).
cnf(refute_0_9884,plain,
join(zero,complement(converse(meet(complement(one),X_542)))) = complement(converse(meet(complement(one),X_542))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(complement(converse(meet(complement(one),X_542)))))]]) ).
cnf(refute_0_9885,plain,
converse(complement(meet(complement(one),X_542))) = complement(converse(meet(complement(one),X_542))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(meet(complement(one),X_542)))]]) ).
cnf(refute_0_9886,plain,
join(zero,converse(complement(meet(complement(one),X_542)))) = join(zero,converse(complement(meet(complement(one),X_542)))),
introduced(tautology,[refl,[$fot(join(zero,converse(complement(meet(complement(one),X_542)))))]]) ).
cnf(refute_0_9887,plain,
( converse(complement(meet(complement(one),X_542))) != complement(converse(meet(complement(one),X_542)))
| join(zero,converse(complement(meet(complement(one),X_542)))) != join(zero,converse(complement(meet(complement(one),X_542))))
| join(zero,converse(complement(meet(complement(one),X_542)))) = join(zero,complement(converse(meet(complement(one),X_542)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(complement(meet(complement(one),X_542)))),join(zero,converse(complement(meet(complement(one),X_542))))) ),[1,1],$fot(complement(converse(meet(complement(one),X_542))))]]) ).
cnf(refute_0_9888,plain,
( converse(complement(meet(complement(one),X_542))) != complement(converse(meet(complement(one),X_542)))
| join(zero,converse(complement(meet(complement(one),X_542)))) = join(zero,complement(converse(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(meet(complement(one),X_542)))),join(zero,converse(complement(meet(complement(one),X_542))))) )],[refute_0_9886,refute_0_9887]) ).
cnf(refute_0_9889,plain,
join(zero,converse(complement(meet(complement(one),X_542)))) = join(zero,complement(converse(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(complement(one),X_542))),complement(converse(meet(complement(one),X_542)))) )],[refute_0_9885,refute_0_9888]) ).
cnf(refute_0_9890,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_9891,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_9892,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_9890,refute_0_9891]) ).
cnf(refute_0_9893,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_9892]) ).
cnf(refute_0_9894,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_9895,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_9893,refute_0_9894]) ).
cnf(refute_0_9896,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9895]) ).
cnf(refute_0_9897,plain,
join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))]]) ).
cnf(refute_0_9898,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) != join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(zero,converse(complement(meet(complement(one),X_542)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9899,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(zero,converse(complement(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) )],[refute_0_9897,refute_0_9898]) ).
cnf(refute_0_9900,plain,
join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(zero,converse(complement(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_9896,refute_0_9899]) ).
cnf(refute_0_9901,plain,
( join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) != join(zero,converse(complement(meet(complement(one),X_542))))
| join(zero,converse(complement(meet(complement(one),X_542)))) != join(zero,complement(converse(meet(complement(one),X_542))))
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(zero,complement(converse(meet(complement(one),X_542)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))),bind(Y,$fot(join(zero,converse(complement(meet(complement(one),X_542)))))),bind(Z,$fot(join(zero,complement(converse(meet(complement(one),X_542))))))]]) ).
cnf(refute_0_9902,plain,
( join(zero,converse(complement(meet(complement(one),X_542)))) != join(zero,complement(converse(meet(complement(one),X_542))))
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(zero,complement(converse(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))),join(zero,converse(complement(meet(complement(one),X_542))))) )],[refute_0_9900,refute_0_9901]) ).
cnf(refute_0_9903,plain,
join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = join(zero,complement(converse(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(meet(complement(one),X_542)))),join(zero,complement(converse(meet(complement(one),X_542))))) )],[refute_0_9889,refute_0_9902]) ).
cnf(refute_0_9904,plain,
( join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) != join(zero,complement(converse(meet(complement(one),X_542))))
| join(zero,complement(converse(meet(complement(one),X_542)))) != complement(converse(meet(complement(one),X_542)))
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = complement(converse(meet(complement(one),X_542))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))),bind(Y,$fot(join(zero,complement(converse(meet(complement(one),X_542)))))),bind(Z,$fot(complement(converse(meet(complement(one),X_542)))))]]) ).
cnf(refute_0_9905,plain,
( join(zero,complement(converse(meet(complement(one),X_542)))) != complement(converse(meet(complement(one),X_542)))
| join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = complement(converse(meet(complement(one),X_542))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))),join(zero,complement(converse(meet(complement(one),X_542))))) )],[refute_0_9903,refute_0_9904]) ).
cnf(refute_0_9906,plain,
join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) = complement(converse(meet(complement(one),X_542))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(meet(complement(one),X_542)))),complement(converse(meet(complement(one),X_542)))) )],[refute_0_9884,refute_0_9905]) ).
cnf(refute_0_9907,plain,
join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))))]]) ).
cnf(refute_0_9908,plain,
( join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) != complement(converse(meet(complement(one),X_542)))
| join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) != join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))
| join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = join(complement(one),complement(converse(meet(complement(one),X_542)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))),join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))) ),[1,1],$fot(complement(converse(meet(complement(one),X_542))))]]) ).
cnf(refute_0_9909,plain,
( join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))) != complement(converse(meet(complement(one),X_542)))
| join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = join(complement(one),complement(converse(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))),join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))) )],[refute_0_9907,refute_0_9908]) ).
cnf(refute_0_9910,plain,
join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = join(complement(one),complement(converse(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))),complement(converse(meet(complement(one),X_542)))) )],[refute_0_9906,refute_0_9909]) ).
cnf(refute_0_9911,plain,
( join(complement(one),complement(converse(meet(complement(one),X_542)))) != complement(meet(one,converse(meet(complement(one),X_542))))
| join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) != join(complement(one),complement(converse(meet(complement(one),X_542))))
| join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = complement(meet(one,converse(meet(complement(one),X_542)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))))),bind(Y,$fot(join(complement(one),complement(converse(meet(complement(one),X_542)))))),bind(Z,$fot(complement(meet(one,converse(meet(complement(one),X_542))))))]]) ).
cnf(refute_0_9912,plain,
( join(complement(one),complement(converse(meet(complement(one),X_542)))) != complement(meet(one,converse(meet(complement(one),X_542))))
| join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = complement(meet(one,converse(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))),join(complement(one),complement(converse(meet(complement(one),X_542))))) )],[refute_0_9910,refute_0_9911]) ).
cnf(refute_0_9913,plain,
join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) = complement(meet(one,converse(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(meet(complement(one),X_542)))),complement(meet(one,converse(meet(complement(one),X_542))))) )],[refute_0_9883,refute_0_9912]) ).
cnf(refute_0_9914,plain,
join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) = join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))),
inference(subst,[],[refute_0_7408:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(complement(meet(complement(one),X_542))))),bind(X_261,$fot(complement(converse(top))))]]) ).
cnf(refute_0_9915,plain,
( join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) != complement(meet(one,converse(meet(complement(one),X_542))))
| join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) != join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))
| join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) = complement(meet(one,converse(meet(complement(one),X_542)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))))),bind(Y,$fot(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))))),bind(Z,$fot(complement(meet(one,converse(meet(complement(one),X_542))))))]]) ).
cnf(refute_0_9916,plain,
( join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))) != complement(meet(one,converse(meet(complement(one),X_542))))
| join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) = complement(meet(one,converse(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))),join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542)))))) )],[refute_0_9914,refute_0_9915]) ).
cnf(refute_0_9917,plain,
join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) = complement(meet(one,converse(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(top)),converse(complement(meet(complement(one),X_542))))),complement(meet(one,converse(meet(complement(one),X_542))))) )],[refute_0_9913,refute_0_9916]) ).
cnf(refute_0_9918,plain,
( join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))) != complement(meet(one,converse(meet(complement(one),X_542))))
| top != join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top))))
| top = complement(meet(one,converse(meet(complement(one),X_542)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top))))) ),[1],$fot(complement(meet(one,converse(meet(complement(one),X_542)))))]]) ).
cnf(refute_0_9919,plain,
( top != join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top))))
| top = complement(meet(one,converse(meet(complement(one),X_542)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top)))),complement(meet(one,converse(meet(complement(one),X_542))))) )],[refute_0_9917,refute_0_9918]) ).
cnf(refute_0_9920,plain,
top = complement(meet(one,converse(meet(complement(one),X_542)))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(converse(complement(meet(complement(one),X_542))),complement(converse(top))))) )],[refute_0_9882,refute_0_9919]) ).
cnf(refute_0_9921,plain,
top = complement(meet(one,converse(meet(complement(one),X_543)))),
inference(subst,[],[refute_0_9920:[bind(X_542,$fot(X_543))]]) ).
cnf(refute_0_9922,plain,
( top != complement(meet(one,converse(meet(complement(one),X_543))))
| complement(meet(one,converse(meet(complement(one),X_543)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,converse(meet(complement(one),X_543))))))]]) ).
cnf(refute_0_9923,plain,
complement(meet(one,converse(meet(complement(one),X_543)))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,converse(meet(complement(one),X_543))))) )],[refute_0_9921,refute_0_9922]) ).
cnf(refute_0_9924,plain,
( complement(meet(one,converse(meet(complement(one),X_543)))) != top
| meet(one,converse(meet(complement(one),X_543))) != complement(complement(meet(one,converse(meet(complement(one),X_543)))))
| meet(one,converse(meet(complement(one),X_543))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(meet(complement(one),X_543))),complement(complement(meet(one,converse(meet(complement(one),X_543)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_9925,plain,
( meet(one,converse(meet(complement(one),X_543))) != complement(complement(meet(one,converse(meet(complement(one),X_543)))))
| meet(one,converse(meet(complement(one),X_543))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(meet(complement(one),X_543)))),top) )],[refute_0_9923,refute_0_9924]) ).
cnf(refute_0_9926,plain,
meet(one,converse(meet(complement(one),X_543))) = complement(top),
inference(resolve,[$cnf( $equal(meet(one,converse(meet(complement(one),X_543))),complement(complement(meet(one,converse(meet(complement(one),X_543)))))) )],[refute_0_9850,refute_0_9925]) ).
cnf(refute_0_9927,plain,
( complement(top) != zero
| meet(one,converse(meet(complement(one),X_543))) != complement(top)
| meet(one,converse(meet(complement(one),X_543))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(meet(complement(one),X_543))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_9928,plain,
( meet(one,converse(meet(complement(one),X_543))) != complement(top)
| meet(one,converse(meet(complement(one),X_543))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9927]) ).
cnf(refute_0_9929,plain,
meet(one,converse(meet(complement(one),X_543))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(meet(complement(one),X_543))),complement(top)) )],[refute_0_9926,refute_0_9928]) ).
cnf(refute_0_9930,plain,
meet(one,converse(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(subst,[],[refute_0_9929:[bind(X_543,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9931,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1143:[bind(X_108,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_109,$fot(one))]]) ).
cnf(refute_0_9932,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != zero
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9933,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_9346,refute_0_9932]) ).
cnf(refute_0_9934,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(meet(one,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9931,refute_0_9933]) ).
cnf(refute_0_9935,plain,
join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9936,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9937,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9935,refute_0_9936]) ).
cnf(refute_0_9938,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9934,refute_0_9937]) ).
cnf(refute_0_9939,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9940,plain,
meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9938,refute_0_9939]) ).
cnf(refute_0_9941,plain,
( meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(one,converse(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != zero
| meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),zero) ),[0,1,0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9942,plain,
( meet(one,converse(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != zero
| meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9940,refute_0_9941]) ).
cnf(refute_0_9943,plain,
meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(meet(complement(one),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_9930,refute_0_9942]) ).
cnf(refute_0_9944,plain,
meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9945,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9946,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9944,refute_0_9945]) ).
cnf(refute_0_9947,plain,
meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9385,refute_0_9946]) ).
cnf(refute_0_9948,plain,
( meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != zero
| meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),zero) ),[0],$fot(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9949,plain,
( meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != zero
| meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9947,refute_0_9948]) ).
cnf(refute_0_9950,plain,
meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_9943,refute_0_9949]) ).
cnf(refute_0_9951,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != zero
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),join(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_9952,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_9950,refute_0_9951]) ).
cnf(refute_0_9953,plain,
composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),join(meet(one,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9849,refute_0_9952]) ).
cnf(refute_0_9954,plain,
join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9955,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9956,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9954,refute_0_9955]) ).
cnf(refute_0_9957,plain,
composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),join(zero,meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9953,refute_0_9956]) ).
cnf(refute_0_9958,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9959,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))))) = complement(converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1808:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9960,plain,
zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_1791:[bind(X_256,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X_292,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9961,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_834:[bind(X_144,$fot(complement(skolemFOFtoCNF_X0))),bind(X_146,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9962,plain,
converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9963,plain,
composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_5212:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(X_162,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9964,plain,
( complement(meet(one,composition(skolemFOFtoCNF_X0,top))) != complement(skolemFOFtoCNF_X0)
| complement(meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9965,plain,
( complement(meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),complement(skolemFOFtoCNF_X0)) )],[refute_0_9457,refute_0_9964]) ).
cnf(refute_0_9966,plain,
complement(skolemFOFtoCNF_X0) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9242,refute_0_9965]) ).
cnf(refute_0_9967,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9968,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9966,refute_0_9967]) ).
cnf(refute_0_9969,plain,
( composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),[0,0,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9970,plain,
( composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_9968,refute_0_9969]) ).
cnf(refute_0_9971,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_9963,refute_0_9970]) ).
cnf(refute_0_9972,plain,
converse(composition(converse(skolemFOFtoCNF_X0),X_12)) = composition(converse(X_12),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_62:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9973,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),X_12)) != composition(converse(X_12),skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| converse(composition(skolemFOFtoCNF_X0,X_12)) = composition(converse(X_12),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),X_12)),composition(converse(X_12),skolemFOFtoCNF_X0)) ),[0,0,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9974,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),X_12)) != composition(converse(X_12),skolemFOFtoCNF_X0)
| converse(composition(skolemFOFtoCNF_X0,X_12)) = composition(converse(X_12),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_9973]) ).
cnf(refute_0_9975,plain,
converse(composition(skolemFOFtoCNF_X0,X_12)) = composition(converse(X_12),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),X_12)),composition(converse(X_12),skolemFOFtoCNF_X0)) )],[refute_0_9972,refute_0_9974]) ).
cnf(refute_0_9976,plain,
( converse(composition(skolemFOFtoCNF_X0,X_12)) != composition(converse(X_12),skolemFOFtoCNF_X0)
| composition(converse(X_12),skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,X_12)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,X_12)))),bind(Y,$fot(composition(converse(X_12),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9977,plain,
composition(converse(X_12),skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,X_12)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,X_12)),composition(converse(X_12),skolemFOFtoCNF_X0)) )],[refute_0_9975,refute_0_9976]) ).
cnf(refute_0_9978,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9977:[bind(X_12,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9979,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9980,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9978,refute_0_9979]) ).
cnf(refute_0_9981,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9977:[bind(X_12,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9982,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) ),[1],$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9983,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9981,refute_0_9982]) ).
cnf(refute_0_9984,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_9980,refute_0_9983]) ).
cnf(refute_0_9985,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) )],[refute_0_9971,refute_0_9984]) ).
cnf(refute_0_9986,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9987,plain,
converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9985,refute_0_9986]) ).
cnf(refute_0_9988,plain,
( converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9989,plain,
( converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9987,refute_0_9988]) ).
cnf(refute_0_9990,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) )],[refute_0_9962,refute_0_9989]) ).
cnf(refute_0_9991,plain,
converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9992,plain,
composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9993,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9994,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9995,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_9993,refute_0_9994]) ).
cnf(refute_0_9996,plain,
converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_9992,refute_0_9995]) ).
cnf(refute_0_9997,plain,
composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_7118:[bind(X_11,$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9998,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9999,plain,
( converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_9997,refute_0_9998]) ).
cnf(refute_0_10000,plain,
composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_9996,refute_0_9999]) ).
cnf(refute_0_10001,plain,
composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_6682:[bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10002,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10003,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10004,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_10002,refute_0_10003]) ).
cnf(refute_0_10005,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10001,refute_0_10004]) ).
cnf(refute_0_10006,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10007,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_10005,refute_0_10006]) ).
cnf(refute_0_10008,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10000,refute_0_10007]) ).
cnf(refute_0_10009,plain,
converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10010,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10011,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) )],[refute_0_10009,refute_0_10010]) ).
cnf(refute_0_10012,plain,
converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10008,refute_0_10011]) ).
cnf(refute_0_10013,plain,
( converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10014,plain,
( converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10012,refute_0_10013]) ).
cnf(refute_0_10015,plain,
converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_9991,refute_0_10014]) ).
cnf(refute_0_10016,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2366:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_13,$fot(skolemFOFtoCNF_X0)),bind(X_14,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10017,plain,
composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14) = composition(converse(X_12),composition(converse(skolemFOFtoCNF_X0),X_14)),
inference(subst,[],[refute_0_2674:[bind(X_13,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10018,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14) != composition(converse(X_12),composition(converse(skolemFOFtoCNF_X0),X_14))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14) = composition(converse(X_12),composition(skolemFOFtoCNF_X0,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14),composition(converse(X_12),composition(converse(skolemFOFtoCNF_X0),X_14))) ),[1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10019,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14) != composition(converse(X_12),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14) = composition(converse(X_12),composition(skolemFOFtoCNF_X0,X_14)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_10018]) ).
cnf(refute_0_10020,plain,
composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14) = composition(converse(X_12),composition(skolemFOFtoCNF_X0,X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,X_12)),X_14),composition(converse(X_12),composition(converse(skolemFOFtoCNF_X0),X_14))) )],[refute_0_10017,refute_0_10019]) ).
cnf(refute_0_10021,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_10020:[bind(X_12,$fot(complement(skolemFOFtoCNF_X0))),bind(X_14,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10022,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10023,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0)))) )],[refute_0_10021,refute_0_10022]) ).
cnf(refute_0_10024,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) )],[refute_0_10016,refute_0_10023]) ).
cnf(refute_0_10025,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10026,plain,
( converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) )],[refute_0_10024,refute_0_10025]) ).
cnf(refute_0_10027,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10015,refute_0_10026]) ).
cnf(refute_0_10028,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10029,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10027,refute_0_10028]) ).
cnf(refute_0_10030,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) )],[refute_0_9990,refute_0_10029]) ).
cnf(refute_0_10031,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10032,plain,
composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10030,refute_0_10031]) ).
cnf(refute_0_10033,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10034,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10032,refute_0_10033]) ).
cnf(refute_0_10035,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_9961,refute_0_10034]) ).
cnf(refute_0_10036,plain,
composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10037,plain,
( composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_10038,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != top
| composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10036,refute_0_10037]) ).
cnf(refute_0_10039,plain,
composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2037,refute_0_10038]) ).
cnf(refute_0_10040,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10041,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10042,plain,
( composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10040,refute_0_10041]) ).
cnf(refute_0_10043,plain,
composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10039,refute_0_10042]) ).
cnf(refute_0_10044,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10045,plain,
( composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10043,refute_0_10044]) ).
cnf(refute_0_10046,plain,
composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),one),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10035,refute_0_10045]) ).
cnf(refute_0_10047,plain,
( composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10048,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10046,refute_0_10047]) ).
cnf(refute_0_10049,plain,
( join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))) ),[1,1,0,0,1],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10050,plain,
( zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))
| zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10048,refute_0_10049]) ).
cnf(refute_0_10051,plain,
zero = composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_9960,refute_0_10050]) ).
cnf(refute_0_10052,plain,
composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_803:[bind(X2,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10053,plain,
converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10054,plain,
( composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10055,plain,
( composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10053,refute_0_10054]) ).
cnf(refute_0_10056,plain,
converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10052,refute_0_10055]) ).
cnf(refute_0_10057,plain,
complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10058,plain,
( complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10059,plain,
( converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10057,refute_0_10058]) ).
cnf(refute_0_10060,plain,
complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10056,refute_0_10059]) ).
cnf(refute_0_10061,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10062,plain,
( complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10063,plain,
( complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10061,refute_0_10062]) ).
cnf(refute_0_10064,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10060,refute_0_10063]) ).
cnf(refute_0_10065,plain,
composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10066,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10067,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10065,refute_0_10066]) ).
cnf(refute_0_10068,plain,
composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10064,refute_0_10067]) ).
cnf(refute_0_10069,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10070,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10071,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10069,refute_0_10070]) ).
cnf(refute_0_10072,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_6252,refute_0_10071]) ).
cnf(refute_0_10073,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10074,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10072,refute_0_10073]) ).
cnf(refute_0_10075,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10068,refute_0_10074]) ).
cnf(refute_0_10076,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_10020:[bind(X_12,$fot(complement(skolemFOFtoCNF_X0))),bind(X_14,$fot(complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10077,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10078,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10076,refute_0_10077]) ).
cnf(refute_0_10079,plain,
composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10075,refute_0_10078]) ).
cnf(refute_0_10080,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| zero = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10081,plain,
( zero != composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| zero = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10079,refute_0_10080]) ).
cnf(refute_0_10082,plain,
zero = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(zero,composition(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10051,refute_0_10081]) ).
cnf(refute_0_10083,plain,
( zero != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10084,plain,
composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10082,refute_0_10083]) ).
cnf(refute_0_10085,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != zero
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = complement(converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))))),complement(converse(complement(skolemFOFtoCNF_X0)))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_10086,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = complement(converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),zero) )],[refute_0_10084,refute_0_10085]) ).
cnf(refute_0_10087,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = complement(converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))))),complement(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_9959,refute_0_10086]) ).
cnf(refute_0_10088,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(skolemFOFtoCNF_X0)),bind(X_426,$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10089,plain,
composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5894:[bind(X_283,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10090,plain,
composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))]]) ).
cnf(refute_0_10091,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))
| composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_10092,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) )],[refute_0_10090,refute_0_10091]) ).
cnf(refute_0_10093,plain,
composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_2226,refute_0_10092]) ).
cnf(refute_0_10094,plain,
( composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) != composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top)
| composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))),bind(Y,$fot(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top))),bind(Z,$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10095,plain,
( composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))),composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top)) )],[refute_0_10093,refute_0_10094]) ).
cnf(refute_0_10096,plain,
composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),top),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10089,refute_0_10095]) ).
cnf(refute_0_10097,plain,
composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))))]]) ).
cnf(refute_0_10098,plain,
( composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) != composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))
| composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))),composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))) ),[1,1],$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10099,plain,
( composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))),composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))) )],[refute_0_10097,refute_0_10098]) ).
cnf(refute_0_10100,plain,
composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10096,refute_0_10099]) ).
cnf(refute_0_10101,plain,
composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(X2,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_10102,plain,
( composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) != composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))
| composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10103,plain,
( composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))),composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero))))) )],[refute_0_10101,refute_0_10102]) ).
cnf(refute_0_10104,plain,
composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(zero)))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10100,refute_0_10103]) ).
cnf(refute_0_10105,plain,
join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))))]]) ).
cnf(refute_0_10106,plain,
( composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))
| join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10107,plain,
( composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))) )],[refute_0_10105,refute_0_10106]) ).
cnf(refute_0_10108,plain,
join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10104,refute_0_10107]) ).
cnf(refute_0_10109,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = complement(converse(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10110,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| complement(converse(complement(skolemFOFtoCNF_X0))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10111,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| complement(converse(complement(skolemFOFtoCNF_X0))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_10109,refute_0_10110]) ).
cnf(refute_0_10112,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_6252,refute_0_10111]) ).
cnf(refute_0_10113,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(complement(skolemFOFtoCNF_X0))) != complement(complement(skolemFOFtoCNF_X0))
| complement(converse(complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10114,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| complement(converse(complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_10112,refute_0_10113]) ).
cnf(refute_0_10115,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_10114]) ).
cnf(refute_0_10116,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))))]]) ).
cnf(refute_0_10117,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X0
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10118,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X0
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))) )],[refute_0_10116,refute_0_10117]) ).
cnf(refute_0_10119,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) )],[refute_0_10115,refute_0_10118]) ).
cnf(refute_0_10120,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))
| join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10121,plain,
( join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero))))) )],[refute_0_10119,refute_0_10120]) ).
cnf(refute_0_10122,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10108,refute_0_10121]) ).
cnf(refute_0_10123,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10124,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10122,refute_0_10123]) ).
cnf(refute_0_10125,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10088,refute_0_10124]) ).
cnf(refute_0_10126,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = complement(converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),complement(converse(complement(skolemFOFtoCNF_X0)))) ),[0],$fot(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10127,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = complement(converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10125,refute_0_10126]) ).
cnf(refute_0_10128,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),complement(converse(complement(skolemFOFtoCNF_X0)))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10129,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) )],[refute_0_10115,refute_0_10128]) ).
cnf(refute_0_10130,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),complement(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_10127,refute_0_10129]) ).
cnf(refute_0_10131,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),composition(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(zero)))),complement(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_10087,refute_0_10130]) ).
cnf(refute_0_10132,plain,
join(one,join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10133,plain,
complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5278:[bind(X_300,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(X_301,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10134,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10135,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_9410,refute_0_10134]) ).
cnf(refute_0_10136,plain,
complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10133,refute_0_10135]) ).
cnf(refute_0_10137,plain,
( complement(join(X0,X1)) != complement(join(X1,X0))
| complement(join(X1,X0)) = complement(join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(join(X0,X1)))),bind(Y,$fot(complement(join(X1,X0))))]]) ).
cnf(refute_0_10138,plain,
complement(join(X1,X0)) = complement(join(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(X0,X1)),complement(join(X1,X0))) )],[refute_0_9589,refute_0_10137]) ).
cnf(refute_0_10139,plain,
complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_10138:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10140,plain,
( complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10141,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10139,refute_0_10140]) ).
cnf(refute_0_10142,plain,
complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9441,refute_0_10141]) ).
cnf(refute_0_10143,plain,
join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10144,plain,
( complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != complement(composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10145,plain,
( complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != complement(composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_10143,refute_0_10144]) ).
cnf(refute_0_10146,plain,
join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10142,refute_0_10145]) ).
cnf(refute_0_10147,plain,
join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10148,plain,
( join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10149,plain,
( join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_10147,refute_0_10148]) ).
cnf(refute_0_10150,plain,
join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10146,refute_0_10149]) ).
cnf(refute_0_10151,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10152,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10150,refute_0_10151]) ).
cnf(refute_0_10153,plain,
complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(complement(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_10136,refute_0_10152]) ).
cnf(refute_0_10154,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10155,plain,
join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10153,refute_0_10154]) ).
cnf(refute_0_10156,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),[0,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10157,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10155,refute_0_10156]) ).
cnf(refute_0_10158,plain,
join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10132,refute_0_10157]) ).
cnf(refute_0_10159,plain,
converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_6405:[bind(X_284,$fot(one)),bind(X_285,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10160,plain,
( converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))),converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,0,1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10161,plain,
( converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_10160]) ).
cnf(refute_0_10162,plain,
converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))),converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10159,refute_0_10161]) ).
cnf(refute_0_10163,plain,
join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(one)),bind(X_133,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10164,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10165,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10163,refute_0_10164]) ).
cnf(refute_0_10166,plain,
join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_10165]) ).
cnf(refute_0_10167,plain,
converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10168,plain,
( converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10169,plain,
( join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10167,refute_0_10168]) ).
cnf(refute_0_10170,plain,
converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10166,refute_0_10169]) ).
cnf(refute_0_10171,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10172,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10170,refute_0_10171]) ).
cnf(refute_0_10173,plain,
converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9393,refute_0_10172]) ).
cnf(refute_0_10174,plain,
( converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))))),bind(Y,$fot(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10175,plain,
( converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))),converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10159,refute_0_10174]) ).
cnf(refute_0_10176,plain,
converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10173,refute_0_10175]) ).
cnf(refute_0_10177,plain,
( converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))),converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10178,plain,
( converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10176,refute_0_10177]) ).
cnf(refute_0_10179,plain,
converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_6583:[bind(X_313,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10180,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10181,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10179,refute_0_10180]) ).
cnf(refute_0_10182,plain,
( converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))) != converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10178,refute_0_10181]) ).
cnf(refute_0_10183,plain,
complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),one))),converse(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10162,refute_0_10182]) ).
cnf(refute_0_10184,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10185,plain,
join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10183,refute_0_10184]) ).
cnf(refute_0_10186,plain,
( join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10187,plain,
( join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10185,refute_0_10186]) ).
cnf(refute_0_10188,plain,
complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10158,refute_0_10187]) ).
cnf(refute_0_10189,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(one,complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10190,plain,
join(one,complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10188,refute_0_10189]) ).
cnf(refute_0_10191,plain,
composition(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(one)),bind(X_145,$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10192,plain,
join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(X_270,$fot(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10193,plain,
complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_9775:[bind(X_300,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10194,plain,
join(one,composition(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10195,plain,
join(one,composition(join(one,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10196,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != top
| join(one,composition(join(one,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_10197,plain,
( join(one,composition(join(one,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_2037,refute_0_10196]) ).
cnf(refute_0_10198,plain,
join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10195,refute_0_10197]) ).
cnf(refute_0_10199,plain,
( join(one,composition(top,skolemFOFtoCNF_X0)) != join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10200,plain,
join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(top,skolemFOFtoCNF_X0)),join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10198,refute_0_10199]) ).
cnf(refute_0_10201,plain,
( join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(top,skolemFOFtoCNF_X0))
| join(one,composition(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[0,1,0],$fot(join(one,composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10202,plain,
( join(one,composition(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(top,skolemFOFtoCNF_X0))) )],[refute_0_10200,refute_0_10201]) ).
cnf(refute_0_10203,plain,
join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10194,refute_0_10202]) ).
cnf(refute_0_10204,plain,
composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10205,plain,
join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10206,plain,
( composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,1],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10207,plain,
( composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10205,refute_0_10206]) ).
cnf(refute_0_10208,plain,
join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10204,refute_0_10207]) ).
cnf(refute_0_10209,plain,
join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10210,plain,
( join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10211,plain,
( join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10209,refute_0_10210]) ).
cnf(refute_0_10212,plain,
join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,composition(composition(top,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10208,refute_0_10211]) ).
cnf(refute_0_10213,plain,
( join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[0],$fot(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10214,plain,
( join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10212,refute_0_10213]) ).
cnf(refute_0_10215,plain,
join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10216,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10217,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10215,refute_0_10216]) ).
cnf(refute_0_10218,plain,
join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_9992,refute_0_10217]) ).
cnf(refute_0_10219,plain,
( join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1],$fot(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10220,plain,
( join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10218,refute_0_10219]) ).
cnf(refute_0_10221,plain,
( join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10214,refute_0_10220]) ).
cnf(refute_0_10222,plain,
join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,composition(top,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10203,refute_0_10221]) ).
cnf(refute_0_10223,plain,
( join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10224,plain,
join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10222,refute_0_10223]) ).
cnf(refute_0_10225,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,1,1,0],$fot(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10226,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10224,refute_0_10225]) ).
cnf(refute_0_10227,plain,
complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10193,refute_0_10226]) ).
cnf(refute_0_10228,plain,
join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9809:[bind(X_521,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10229,plain,
meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10230,plain,
( join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10231,plain,
( join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10229,refute_0_10230]) ).
cnf(refute_0_10232,plain,
meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10228,refute_0_10231]) ).
cnf(refute_0_10233,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[0],$fot(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10234,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10232,refute_0_10233]) ).
cnf(refute_0_10235,plain,
complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10227,refute_0_10234]) ).
cnf(refute_0_10236,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10237,plain,
meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10235,refute_0_10236]) ).
cnf(refute_0_10238,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10239,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10237,refute_0_10238]) ).
cnf(refute_0_10240,plain,
join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10192,refute_0_10239]) ).
cnf(refute_0_10241,plain,
join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10242,plain,
join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10243,plain,
( join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10244,plain,
( join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10242,refute_0_10243]) ).
cnf(refute_0_10245,plain,
join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10241,refute_0_10244]) ).
cnf(refute_0_10246,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4699:[bind(X0,$fot(one)),bind(X1,$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(X_517,$fot(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10247,plain,
join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(X_95,$fot(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10248,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10249,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10247,refute_0_10248]) ).
cnf(refute_0_10250,plain,
join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10246,refute_0_10249]) ).
cnf(refute_0_10251,plain,
( join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10252,plain,
( join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10250,refute_0_10251]) ).
cnf(refute_0_10253,plain,
join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10245,refute_0_10252]) ).
cnf(refute_0_10254,plain,
( join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1],$fot(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10255,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10253,refute_0_10254]) ).
cnf(refute_0_10256,plain,
join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10240,refute_0_10255]) ).
cnf(refute_0_10257,plain,
meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_28,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10258,plain,
meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10259,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10260,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10258,refute_0_10259]) ).
cnf(refute_0_10261,plain,
meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10032,refute_0_10260]) ).
cnf(refute_0_10262,plain,
( meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10263,plain,
( meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10261,refute_0_10262]) ).
cnf(refute_0_10264,plain,
meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10257,refute_0_10263]) ).
cnf(refute_0_10265,plain,
complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10266,plain,
( complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10267,plain,
( meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10265,refute_0_10266]) ).
cnf(refute_0_10268,plain,
complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10264,refute_0_10267]) ).
cnf(refute_0_10269,plain,
join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10270,plain,
( complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10271,plain,
( complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10269,refute_0_10270]) ).
cnf(refute_0_10272,plain,
join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10268,refute_0_10271]) ).
cnf(refute_0_10273,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[0],$fot(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10274,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10272,refute_0_10273]) ).
cnf(refute_0_10275,plain,
join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(one,complement(meet(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10256,refute_0_10274]) ).
cnf(refute_0_10276,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_6145:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X_171,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10277,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10278,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10048,refute_0_10277]) ).
cnf(refute_0_10279,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10276,refute_0_10278]) ).
cnf(refute_0_10280,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10281,plain,
meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10279,refute_0_10280]) ).
cnf(refute_0_10282,plain,
complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10283,plain,
( complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10284,plain,
( meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10282,refute_0_10283]) ).
cnf(refute_0_10285,plain,
complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10281,refute_0_10284]) ).
cnf(refute_0_10286,plain,
join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10287,plain,
( complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10288,plain,
( complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10286,refute_0_10287]) ).
cnf(refute_0_10289,plain,
join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10285,refute_0_10288]) ).
cnf(refute_0_10290,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10291,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10289,refute_0_10290]) ).
cnf(refute_0_10292,plain,
join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_10291]) ).
cnf(refute_0_10293,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10294,plain,
( join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10292,refute_0_10293]) ).
cnf(refute_0_10295,plain,
join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(one,complement(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10275,refute_0_10294]) ).
cnf(refute_0_10296,plain,
( composition(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) ),[0,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10297,plain,
( composition(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10295,refute_0_10296]) ).
cnf(refute_0_10298,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10191,refute_0_10297]) ).
cnf(refute_0_10299,plain,
converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))) = composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10300,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10301,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(subst,[],[refute_0_7026:[bind(X_399,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10302,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[0,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10303,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6091,refute_0_10302]) ).
cnf(refute_0_10304,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_10301,refute_0_10303]) ).
cnf(refute_0_10305,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) = composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10306,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) != composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))
| composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[0],$fot(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10307,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))),composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10305,refute_0_10306]) ).
cnf(refute_0_10308,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10309,plain,
( composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6091,refute_0_10308]) ).
cnf(refute_0_10310,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_10307,refute_0_10309]) ).
cnf(refute_0_10311,plain,
composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0,top)),one),complement(composition(skolemFOFtoCNF_X0,top))),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_10304,refute_0_10310]) ).
cnf(refute_0_10312,plain,
( composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))))) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),[0,1,1,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10313,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))))) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10311,refute_0_10312]) ).
cnf(refute_0_10314,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(composition(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top)))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10300,refute_0_10313]) ).
cnf(refute_0_10315,plain,
composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10316,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10317,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10315,refute_0_10316]) ).
cnf(refute_0_10318,plain,
composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9248,refute_0_10317]) ).
cnf(refute_0_10319,plain,
join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1752:[bind(X1,$fot(one)),bind(X_133,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10320,plain,
converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10321,plain,
( converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(join(one,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10322,plain,
( join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10320,refute_0_10321]) ).
cnf(refute_0_10323,plain,
converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10319,refute_0_10322]) ).
cnf(refute_0_10324,plain,
join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10325,plain,
( converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10326,plain,
( converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10324,refute_0_10325]) ).
cnf(refute_0_10327,plain,
join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10323,refute_0_10326]) ).
cnf(refute_0_10328,plain,
composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10329,plain,
( composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10330,plain,
( join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10328,refute_0_10329]) ).
cnf(refute_0_10331,plain,
composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10327,refute_0_10330]) ).
cnf(refute_0_10332,plain,
( composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))
| composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10333,plain,
( composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))
| composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10331,refute_0_10332]) ).
cnf(refute_0_10334,plain,
composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10318,refute_0_10333]) ).
cnf(refute_0_10335,plain,
composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top)))) = composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_2847:[bind(X0,$fot(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),bind(X1,$fot(complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10336,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_843:[bind(X_144,$fot(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),bind(X_146,$fot(complement(complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10337,plain,
( composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) != composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10338,plain,
( composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))),composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10336,refute_0_10337]) ).
cnf(refute_0_10339,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(composition(join(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),one),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10335,refute_0_10338]) ).
cnf(refute_0_10340,plain,
( composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) != composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10341,plain,
( composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))),composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10339,refute_0_10340]) ).
cnf(refute_0_10342,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) = composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10334,refute_0_10341]) ).
cnf(refute_0_10343,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) != composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) = complement(complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10344,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) = complement(complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10342,refute_0_10343]) ).
cnf(refute_0_10345,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) ),[1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10346,plain,
( composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9248,refute_0_10345]) ).
cnf(refute_0_10347,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)),complement(complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10344,refute_0_10346]) ).
cnf(refute_0_10348,plain,
composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),complement(complement(composition(skolemFOFtoCNF_X0,top))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10314,refute_0_10347]) ).
cnf(refute_0_10349,plain,
( composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))),composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) ),[0,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10350,plain,
( converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))) != composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10348,refute_0_10349]) ).
cnf(refute_0_10351,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,top))),composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_10299,refute_0_10350]) ).
cnf(refute_0_10352,plain,
converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_62:[bind(X0,$fot(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10353,plain,
composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1616:[bind(X0,$fot(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10354,plain,
( composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) != converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0))
| converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))),bind(Y,$fot(converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10355,plain,
( converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0))) )],[refute_0_10353,refute_0_10354]) ).
cnf(refute_0_10356,plain,
composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(converse(composition(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10352,refute_0_10355]) ).
cnf(refute_0_10357,plain,
composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))))]]) ).
cnf(refute_0_10358,plain,
( composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) != composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10359,plain,
( composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) != composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))) )],[refute_0_10357,refute_0_10358]) ).
cnf(refute_0_10360,plain,
composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10356,refute_0_10359]) ).
cnf(refute_0_10361,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),
inference(subst,[],[refute_0_2678:[bind(X_466,$fot(skolemFOFtoCNF_X0)),bind(X_467,$fot(converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_10362,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))),bind(Y,$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))))),bind(Z,$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_10363,plain,
( composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))))) )],[refute_0_10361,refute_0_10362]) ).
cnf(refute_0_10364,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10360,refute_0_10363]) ).
cnf(refute_0_10365,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,top)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) ),[1],$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10366,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top)))))),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10364,refute_0_10365]) ).
cnf(refute_0_10367,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(composition(skolemFOFtoCNF_X0,top)),converse(converse(join(one,complement(composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_10351,refute_0_10366]) ).
cnf(refute_0_10368,plain,
composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10369,plain,
( composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10370,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10368,refute_0_10369]) ).
cnf(refute_0_10371,plain,
composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_10370]) ).
cnf(refute_0_10372,plain,
composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10373,plain,
( composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10374,plain,
( composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10372,refute_0_10373]) ).
cnf(refute_0_10375,plain,
composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10371,refute_0_10374]) ).
cnf(refute_0_10376,plain,
( composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1],$fot(composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10377,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top))))),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10375,refute_0_10376]) ).
cnf(refute_0_10378,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(converse(skolemFOFtoCNF_X0),join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10367,refute_0_10377]) ).
cnf(refute_0_10379,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,skolemFOFtoCNF_X0)
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),[0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10380,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_7131,refute_0_10379]) ).
cnf(refute_0_10381,plain,
composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10378,refute_0_10380]) ).
cnf(refute_0_10382,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10383,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))
| join(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10384,plain,
( join(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10382,refute_0_10383]) ).
cnf(refute_0_10385,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10190,refute_0_10384]) ).
cnf(refute_0_10386,plain,
composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_10387,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10388,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10386,refute_0_10387]) ).
cnf(refute_0_10389,plain,
composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10385,refute_0_10388]) ).
cnf(refute_0_10390,plain,
( composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))) != composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) ),[1],$fot(composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10391,plain,
( composition(top,skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top))))),composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10389,refute_0_10390]) ).
cnf(refute_0_10392,plain,
composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,join(one,complement(composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_10381,refute_0_10391]) ).
cnf(refute_0_10393,plain,
( composition(top,skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,skolemFOFtoCNF_X0))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10394,plain,
composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10392,refute_0_10393]) ).
cnf(refute_0_10395,plain,
composition(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),X_14) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)),
inference(subst,[],[refute_0_2674:[bind(X_12,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_13,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10396,plain,
composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(one)),bind(X_145,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10397,plain,
join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566) = join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),
inference(subst,[],[refute_0_4507:[bind(X0,$fot(one)),bind(X_21,$fot(X_566)),bind(X_22,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10398,plain,
join(one,composition(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10399,plain,
join(one,composition(join(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10400,plain,
( join(one,composition(join(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_10401,plain,
( join(one,composition(join(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_10400]) ).
cnf(refute_0_10402,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10399,refute_0_10401]) ).
cnf(refute_0_10403,plain,
composition(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_96:[bind(X_13,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10404,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,composition(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10405,plain,
( composition(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(one,skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(one,skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10406,plain,
( composition(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(one,skolemFOFtoCNF_X0))) )],[refute_0_10404,refute_0_10405]) ).
cnf(refute_0_10407,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_10403,refute_0_10406]) ).
cnf(refute_0_10408,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,skolemFOFtoCNF_X0)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,composition(one,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,skolemFOFtoCNF_X0))),bind(Z,$fot(one))]]) ).
cnf(refute_0_10409,plain,
( join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,skolemFOFtoCNF_X0)) )],[refute_0_10407,refute_0_10408]) ).
cnf(refute_0_10410,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_10409]) ).
cnf(refute_0_10411,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) != one
| one = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[0],$fot(one)]]) ).
cnf(refute_0_10412,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| one = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),one) )],[refute_0_10410,refute_0_10411]) ).
cnf(refute_0_10413,plain,
one = join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10402,refute_0_10412]) ).
cnf(refute_0_10414,plain,
( one != join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10415,plain,
join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = one,
inference(resolve,[$cnf( $equal(one,join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10413,refute_0_10414]) ).
cnf(refute_0_10416,plain,
( join(one,composition(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != one
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_10417,plain,
( join(one,composition(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),one) )],[refute_0_10415,refute_0_10416]) ).
cnf(refute_0_10418,plain,
join(one,composition(one,skolemFOFtoCNF_X0)) = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10398,refute_0_10417]) ).
cnf(refute_0_10419,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(one,skolemFOFtoCNF_X0)) != one
| one = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[0],$fot(one)]]) ).
cnf(refute_0_10420,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| one = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),one) )],[refute_0_10410,refute_0_10419]) ).
cnf(refute_0_10421,plain,
composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10422,plain,
join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10423,plain,
( composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10424,plain,
( composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10422,refute_0_10423]) ).
cnf(refute_0_10425,plain,
join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10421,refute_0_10424]) ).
cnf(refute_0_10426,plain,
( join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| one != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| one = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1],$fot(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10427,plain,
( one != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| one = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10425,refute_0_10426]) ).
cnf(refute_0_10428,plain,
( join(one,composition(one,skolemFOFtoCNF_X0)) != join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| one = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(one,join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10420,refute_0_10427]) ).
cnf(refute_0_10429,plain,
one = join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,composition(one,skolemFOFtoCNF_X0)),join(one,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10418,refute_0_10428]) ).
cnf(refute_0_10430,plain,
( one != join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10431,plain,
join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10429,refute_0_10430]) ).
cnf(refute_0_10432,plain,
( join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != one
| join(converse(one),X_566) = join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566),join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_10433,plain,
( join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(converse(one),X_566) = join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),one) )],[refute_0_10431,refute_0_10432]) ).
cnf(refute_0_10434,plain,
join(converse(one),X_566) = join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566),join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) )],[refute_0_10397,refute_0_10433]) ).
cnf(refute_0_10435,plain,
join(converse(one),X_566) = join(converse(one),X_566),
introduced(tautology,[refl,[$fot(join(converse(one),X_566))]]) ).
cnf(refute_0_10436,plain,
( converse(one) != one
| join(converse(one),X_566) != join(converse(one),X_566)
| join(converse(one),X_566) = join(one,X_566) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_566),join(converse(one),X_566)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_10437,plain,
( converse(one) != one
| join(converse(one),X_566) = join(one,X_566) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_566),join(converse(one),X_566)) )],[refute_0_10435,refute_0_10436]) ).
cnf(refute_0_10438,plain,
join(converse(one),X_566) = join(one,X_566),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_10437]) ).
cnf(refute_0_10439,plain,
( join(converse(one),X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(converse(one),X_566) != join(one,X_566)
| join(one,X_566) = join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_566),join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) ),[0],$fot(join(one,X_566))]]) ).
cnf(refute_0_10440,plain,
( join(converse(one),X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(one,X_566) = join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_566),join(one,X_566)) )],[refute_0_10438,refute_0_10439]) ).
cnf(refute_0_10441,plain,
join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),
inference(subst,[],[refute_0_3105:[bind(X_5,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_57,$fot(X_566))]]) ).
cnf(refute_0_10442,plain,
join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) = join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566),
inference(subst,[],[refute_0_4509:[bind(X0,$fot(one)),bind(X_21,$fot(X_566)),bind(X_22,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10443,plain,
( join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) != join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566)
| join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)))),bind(Y,$fot(join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566))),bind(Z,$fot(join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))))]]) ).
cnf(refute_0_10444,plain,
( join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566)) )],[refute_0_10442,refute_0_10443]) ).
cnf(refute_0_10445,plain,
join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),X_566),join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) )],[refute_0_10441,refute_0_10444]) ).
cnf(refute_0_10446,plain,
( join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(one,X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(one,X_566) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,X_566),join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) ),[1],$fot(join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)))]]) ).
cnf(refute_0_10447,plain,
( join(one,X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(one,X_566) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) )],[refute_0_10445,refute_0_10446]) ).
cnf(refute_0_10448,plain,
( join(converse(one),X_566) != join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))
| join(one,X_566) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)) ),
inference(resolve,[$cnf( $equal(join(one,X_566),join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) )],[refute_0_10440,refute_0_10447]) ).
cnf(refute_0_10449,plain,
join(one,X_566) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566)),
inference(resolve,[$cnf( $equal(join(converse(one),X_566),join(converse(one),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),X_566))) )],[refute_0_10434,refute_0_10448]) ).
cnf(refute_0_10450,plain,
join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_10449:[bind(X_566,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10451,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10452,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_10451]) ).
cnf(refute_0_10453,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10450,refute_0_10452]) ).
cnf(refute_0_10454,plain,
join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_95,$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10455,plain,
join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X_56,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(one)),bind(X_57,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10456,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(X_56,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(X_56,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10457,plain,
( join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(X_56,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_10456]) ).
cnf(refute_0_10458,plain,
join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(X_56,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(X_56,join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10455,refute_0_10457]) ).
cnf(refute_0_10459,plain,
join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10458:[bind(X_56,$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10460,plain,
( join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10461,plain,
( join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10459,refute_0_10460]) ).
cnf(refute_0_10462,plain,
join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10454,refute_0_10461]) ).
cnf(refute_0_10463,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[0],$fot(join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10464,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10462,refute_0_10463]) ).
cnf(refute_0_10465,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10453,refute_0_10464]) ).
cnf(refute_0_10466,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),one) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(one)),bind(X_95,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10467,plain,
join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) = join(one,join(X_178,converse(X_180))),
inference(subst,[],[refute_0_9319:[bind(X_65,$fot(join(X_178,converse(X_180))))]]) ).
cnf(refute_0_10468,plain,
( join(one,join(X_178,converse(X_180))) != join(X_178,join(one,converse(X_180)))
| join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) != join(one,join(X_178,converse(X_180)))
| join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) = join(X_178,join(one,converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)),join(one,join(X_178,converse(X_180)))) ),[1],$fot(join(X_178,join(one,converse(X_180))))]]) ).
cnf(refute_0_10469,plain,
( join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) != join(one,join(X_178,converse(X_180)))
| join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) = join(X_178,join(one,converse(X_180))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_178,converse(X_180))),join(X_178,join(one,converse(X_180)))) )],[refute_0_6435,refute_0_10468]) ).
cnf(refute_0_10470,plain,
join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) = join(X_178,join(one,converse(X_180))),
inference(resolve,[$cnf( $equal(join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)),join(one,join(X_178,converse(X_180)))) )],[refute_0_10467,refute_0_10469]) ).
cnf(refute_0_10471,plain,
( join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) != join(X_178,join(one,converse(X_180)))
| join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) != join(one,join(X_178,converse(X_180)))
| join(one,join(X_178,converse(X_180))) = join(X_178,join(one,converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)),join(X_178,join(one,converse(X_180)))) ),[0],$fot(join(one,join(X_178,converse(X_180))))]]) ).
cnf(refute_0_10472,plain,
( join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) != join(X_178,join(one,converse(X_180)))
| join(one,join(X_178,converse(X_180))) = join(X_178,join(one,converse(X_180))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)),join(one,join(X_178,converse(X_180)))) )],[refute_0_10467,refute_0_10471]) ).
cnf(refute_0_10473,plain,
join(one,converse(X_180)) = converse(join(one,X_180)),
inference(subst,[],[refute_0_507:[bind(X_5,$fot(X_180))]]) ).
cnf(refute_0_10474,plain,
join(X_178,join(one,converse(X_180))) = join(X_178,join(one,converse(X_180))),
introduced(tautology,[refl,[$fot(join(X_178,join(one,converse(X_180))))]]) ).
cnf(refute_0_10475,plain,
( join(X_178,join(one,converse(X_180))) != join(X_178,join(one,converse(X_180)))
| join(one,converse(X_180)) != converse(join(one,X_180))
| join(X_178,join(one,converse(X_180))) = join(X_178,converse(join(one,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_178,join(one,converse(X_180))),join(X_178,join(one,converse(X_180)))) ),[1,1],$fot(converse(join(one,X_180)))]]) ).
cnf(refute_0_10476,plain,
( join(one,converse(X_180)) != converse(join(one,X_180))
| join(X_178,join(one,converse(X_180))) = join(X_178,converse(join(one,X_180))) ),
inference(resolve,[$cnf( $equal(join(X_178,join(one,converse(X_180))),join(X_178,join(one,converse(X_180)))) )],[refute_0_10474,refute_0_10475]) ).
cnf(refute_0_10477,plain,
join(X_178,join(one,converse(X_180))) = join(X_178,converse(join(one,X_180))),
inference(resolve,[$cnf( $equal(join(one,converse(X_180)),converse(join(one,X_180))) )],[refute_0_10473,refute_0_10476]) ).
cnf(refute_0_10478,plain,
( join(X_178,join(one,converse(X_180))) != join(X_178,converse(join(one,X_180)))
| join(one,join(X_178,converse(X_180))) != join(X_178,join(one,converse(X_180)))
| join(one,join(X_178,converse(X_180))) = join(X_178,converse(join(one,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_178,converse(X_180))),join(X_178,join(one,converse(X_180)))) ),[1],$fot(join(X_178,converse(join(one,X_180))))]]) ).
cnf(refute_0_10479,plain,
( join(one,join(X_178,converse(X_180))) != join(X_178,join(one,converse(X_180)))
| join(one,join(X_178,converse(X_180))) = join(X_178,converse(join(one,X_180))) ),
inference(resolve,[$cnf( $equal(join(X_178,join(one,converse(X_180))),join(X_178,converse(join(one,X_180)))) )],[refute_0_10477,refute_0_10478]) ).
cnf(refute_0_10480,plain,
( join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)) != join(X_178,join(one,converse(X_180)))
| join(one,join(X_178,converse(X_180))) = join(X_178,converse(join(one,X_180))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_178,converse(X_180))),join(X_178,join(one,converse(X_180)))) )],[refute_0_10472,refute_0_10479]) ).
cnf(refute_0_10481,plain,
join(one,join(X_178,converse(X_180))) = join(X_178,converse(join(one,X_180))),
inference(resolve,[$cnf( $equal(join(one,join(join(X_178,converse(X_180)),skolemFOFtoCNF_X0)),join(X_178,join(one,converse(X_180)))) )],[refute_0_10470,refute_0_10480]) ).
cnf(refute_0_10482,plain,
join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10481:[bind(X_178,$fot(X_406)),bind(X_180,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10483,plain,
( join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != one
| join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(X_406,converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(X_406,converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_10484,plain,
( join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(X_406,converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,converse(one)) ),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),one) )],[refute_0_10431,refute_0_10483]) ).
cnf(refute_0_10485,plain,
join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,converse(one)),
inference(resolve,[$cnf( $equal(join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(X_406,converse(join(one,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10482,refute_0_10484]) ).
cnf(refute_0_10486,plain,
join(X_406,converse(one)) = join(X_406,converse(one)),
introduced(tautology,[refl,[$fot(join(X_406,converse(one)))]]) ).
cnf(refute_0_10487,plain,
( converse(one) != one
| join(X_406,converse(one)) != join(X_406,converse(one))
| join(X_406,converse(one)) = join(X_406,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_406,converse(one)),join(X_406,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_10488,plain,
( converse(one) != one
| join(X_406,converse(one)) = join(X_406,one) ),
inference(resolve,[$cnf( $equal(join(X_406,converse(one)),join(X_406,converse(one))) )],[refute_0_10486,refute_0_10487]) ).
cnf(refute_0_10489,plain,
join(X_406,converse(one)) = join(X_406,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_10488]) ).
cnf(refute_0_10490,plain,
( join(X_406,converse(one)) != join(X_406,one)
| join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(X_406,converse(one))
| join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(X_406,converse(one))) ),[1],$fot(join(X_406,one))]]) ).
cnf(refute_0_10491,plain,
( join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(X_406,converse(one))
| join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,one) ),
inference(resolve,[$cnf( $equal(join(X_406,converse(one)),join(X_406,one)) )],[refute_0_10489,refute_0_10490]) ).
cnf(refute_0_10492,plain,
join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(X_406,one),
inference(resolve,[$cnf( $equal(join(one,join(X_406,converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(X_406,converse(one))) )],[refute_0_10485,refute_0_10491]) ).
cnf(refute_0_10493,plain,
join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(complement(composition(top,skolemFOFtoCNF_X0)),one),
inference(subst,[],[refute_0_10492:[bind(X_406,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10494,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),one) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(complement(composition(top,skolemFOFtoCNF_X0)),one)
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),one))),bind(Z,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10495,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),one) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(complement(composition(top,skolemFOFtoCNF_X0)),one)) )],[refute_0_10493,refute_0_10494]) ).
cnf(refute_0_10496,plain,
join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),one),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10466,refute_0_10495]) ).
cnf(refute_0_10497,plain,
join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),
inference(subst,[],[refute_0_1709:[bind(X_57,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_10498,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21) = join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),
inference(subst,[],[refute_0_4507:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_22,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10499,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21),join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) ),[0,0,0],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10500,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10155,refute_0_10499]) ).
cnf(refute_0_10501,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21),join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) )],[refute_0_10498,refute_0_10500]) ).
cnf(refute_0_10502,plain,
converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10503,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21))]]) ).
cnf(refute_0_10504,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21)
| join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21)) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10505,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21)) )],[refute_0_10503,refute_0_10504]) ).
cnf(refute_0_10506,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10502,refute_0_10505]) ).
cnf(refute_0_10507,plain,
( join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21)
| join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) ),[0],$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21))]]) ).
cnf(refute_0_10508,plain,
( join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21)) )],[refute_0_10506,refute_0_10507]) ).
cnf(refute_0_10509,plain,
complement(converse(composition(skolemFOFtoCNF_X0,top))) = complement(converse(composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10510,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,skolemFOFtoCNF_X0)
| complement(converse(composition(skolemFOFtoCNF_X0,top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10511,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,skolemFOFtoCNF_X0)
| complement(converse(composition(skolemFOFtoCNF_X0,top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10509,refute_0_10510]) ).
cnf(refute_0_10512,plain,
complement(converse(composition(skolemFOFtoCNF_X0,top))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_7131,refute_0_10511]) ).
cnf(refute_0_10513,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,top))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(converse(composition(skolemFOFtoCNF_X0,top)))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(complement(converse(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10514,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,top))) != complement(composition(top,skolemFOFtoCNF_X0))
| converse(complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(converse(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_5782,refute_0_10513]) ).
cnf(refute_0_10515,plain,
converse(complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_10512,refute_0_10514]) ).
cnf(refute_0_10516,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) = join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))]]) ).
cnf(refute_0_10517,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) != join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)
| join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) = join(complement(composition(top,skolemFOFtoCNF_X0)),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),[1,0],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10518,plain,
( converse(complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) = join(complement(composition(top,skolemFOFtoCNF_X0)),X_21) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) )],[refute_0_10516,refute_0_10517]) ).
cnf(refute_0_10519,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) = join(complement(composition(top,skolemFOFtoCNF_X0)),X_21),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_10515,refute_0_10518]) ).
cnf(refute_0_10520,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)))]]) ).
cnf(refute_0_10521,plain,
( join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) != join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)
| join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) != join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) ),[1,1],$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))]]) ).
cnf(refute_0_10522,plain,
( join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21) != join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)
| join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) )],[refute_0_10520,refute_0_10521]) ).
cnf(refute_0_10523,plain,
join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21),join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) )],[refute_0_10519,refute_0_10522]) ).
cnf(refute_0_10524,plain,
join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566) = join(converse(skolemFOFtoCNF_X0),join(converse(X_567),X_566)),
inference(subst,[],[refute_0_4507:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_21,$fot(X_566)),bind(X_22,$fot(X_567))]]) ).
cnf(refute_0_10525,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566) != join(converse(skolemFOFtoCNF_X0),join(converse(X_567),X_566))
| join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566) = join(skolemFOFtoCNF_X0,join(converse(X_567),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566),join(converse(skolemFOFtoCNF_X0),join(converse(X_567),X_566))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10526,plain,
( join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566) != join(converse(skolemFOFtoCNF_X0),join(converse(X_567),X_566))
| join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566) = join(skolemFOFtoCNF_X0,join(converse(X_567),X_566)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_10525]) ).
cnf(refute_0_10527,plain,
join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566) = join(skolemFOFtoCNF_X0,join(converse(X_567),X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,X_567)),X_566),join(converse(skolemFOFtoCNF_X0),join(converse(X_567),X_566))) )],[refute_0_10524,refute_0_10526]) ).
cnf(refute_0_10528,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21) = join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),
inference(subst,[],[refute_0_10527:[bind(X_566,$fot(X_21)),bind(X_567,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10529,plain,
join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21),
inference(subst,[],[refute_0_4509:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_22,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10530,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21) != join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) != join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21)
| join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)))),bind(Y,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))))]]) ).
cnf(refute_0_10531,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21) != join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21)) )],[refute_0_10529,refute_0_10530]) ).
cnf(refute_0_10532,plain,
join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))),X_21),join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) )],[refute_0_10528,refute_0_10531]) ).
cnf(refute_0_10533,plain,
( join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) != join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))
| join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))))]]) ).
cnf(refute_0_10534,plain,
( join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))
| join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) )],[refute_0_10532,refute_0_10533]) ).
cnf(refute_0_10535,plain,
join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))) )],[refute_0_10523,refute_0_10534]) ).
cnf(refute_0_10536,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)))]]) ).
cnf(refute_0_10537,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21)),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21))) )],[refute_0_10535,refute_0_10536]) ).
cnf(refute_0_10538,plain,
( join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) != join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) )],[refute_0_10508,refute_0_10537]) ).
cnf(refute_0_10539,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X_21)),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X_21),join(converse(skolemFOFtoCNF_X0),join(converse(complement(composition(skolemFOFtoCNF_X0,top))),X_21))) )],[refute_0_10501,refute_0_10538]) ).
cnf(refute_0_10540,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),
inference(subst,[],[refute_0_10539:[bind(X_21,$fot(X2))]]) ).
cnf(refute_0_10541,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)))]]) ).
cnf(refute_0_10542,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_10543,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2))) )],[refute_0_10541,refute_0_10542]) ).
cnf(refute_0_10544,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) )],[refute_0_10540,refute_0_10543]) ).
cnf(refute_0_10545,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))
| join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) != join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))))),bind(Z,$fot(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_10546,plain,
( join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) != join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))) )],[refute_0_10544,refute_0_10545]) ).
cnf(refute_0_10547,plain,
join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))),join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) )],[refute_0_10497,refute_0_10546]) ).
cnf(refute_0_10548,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)
| join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) ),[0],$fot(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_10549,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) )],[refute_0_10547,refute_0_10548]) ).
cnf(refute_0_10550,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) ),[1],$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_10551,plain,
( join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) )],[refute_0_10540,refute_0_10550]) ).
cnf(refute_0_10552,plain,
( join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)
| join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_10549,refute_0_10551]) ).
cnf(refute_0_10553,plain,
join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_9372,refute_0_10552]) ).
cnf(refute_0_10554,plain,
( join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))
| join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))))]]) ).
cnf(refute_0_10555,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),
inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),X2)),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),X2))) )],[refute_0_10553,refute_0_10554]) ).
cnf(refute_0_10556,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10555:[bind(X2,$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10557,plain,
( join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10558,plain,
( join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10556,refute_0_10557]) ).
cnf(refute_0_10559,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10496,refute_0_10558]) ).
cnf(refute_0_10560,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10539:[bind(X_21,$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10561,plain,
( join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10562,plain,
( join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10560,refute_0_10561]) ).
cnf(refute_0_10563,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10559,refute_0_10562]) ).
cnf(refute_0_10564,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10565,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10563,refute_0_10564]) ).
cnf(refute_0_10566,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10465,refute_0_10565]) ).
cnf(refute_0_10567,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10568,plain,
join(one,complement(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10566,refute_0_10567]) ).
cnf(refute_0_10569,plain,
( composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| join(one,complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$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(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10570,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(converse(composition(skolemFOFtoCNF_X0,complement(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( $equal(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10568,refute_0_10569]) ).
cnf(refute_0_10571,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10396,refute_0_10570]) ).
cnf(refute_0_10572,plain,
composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1684:[bind(X_144,$fot(skolemFOFtoCNF_X0)),bind(X_145,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10573,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_5278:[bind(X_300,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_301,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10574,plain,
meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_290:[bind(X1,$fot(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10575,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_96,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10576,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| complement(skolemFOFtoCNF_X0) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10577,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(skolemFOFtoCNF_X0) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9379,refute_0_10576]) ).
cnf(refute_0_10578,plain,
complement(skolemFOFtoCNF_X0) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10575,refute_0_10577]) ).
cnf(refute_0_10579,plain,
join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10580,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(skolemFOFtoCNF_X0))),bind(X_95,$fot(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10581,plain,
( join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10582,plain,
( join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10580,refute_0_10581]) ).
cnf(refute_0_10583,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10579,refute_0_10582]) ).
cnf(refute_0_10584,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2568:[bind(X_28,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_298,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10585,plain,
( join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) != complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10586,plain,
( join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) != complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_10584,refute_0_10585]) ).
cnf(refute_0_10587,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10583,refute_0_10586]) ).
cnf(refute_0_10588,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(skolemFOFtoCNF_X0) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10589,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(skolemFOFtoCNF_X0) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10587,refute_0_10588]) ).
cnf(refute_0_10590,plain,
complement(skolemFOFtoCNF_X0) = complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10578,refute_0_10589]) ).
cnf(refute_0_10591,plain,
( complement(skolemFOFtoCNF_X0) != complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10592,plain,
complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10590,refute_0_10591]) ).
cnf(refute_0_10593,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10594,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_10592,refute_0_10593]) ).
cnf(refute_0_10595,plain,
meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10574,refute_0_10594]) ).
cnf(refute_0_10596,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10597,plain,
( meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_10596]) ).
cnf(refute_0_10598,plain,
meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_10595,refute_0_10597]) ).
cnf(refute_0_10599,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10600,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) )],[refute_0_10598,refute_0_10599]) ).
cnf(refute_0_10601,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10573,refute_0_10600]) ).
cnf(refute_0_10602,plain,
complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10138:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10603,plain,
( complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,skolemFOFtoCNF_X0))
| complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10604,plain,
( complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,skolemFOFtoCNF_X0))
| complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10602,refute_0_10603]) ).
cnf(refute_0_10605,plain,
complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_9143,refute_0_10604]) ).
cnf(refute_0_10606,plain,
join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10607,plain,
( complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != complement(composition(top,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10608,plain,
( complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != complement(composition(top,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_10606,refute_0_10607]) ).
cnf(refute_0_10609,plain,
join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_10605,refute_0_10608]) ).
cnf(refute_0_10610,plain,
join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10611,plain,
( join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10612,plain,
( join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))
| join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_10610,refute_0_10611]) ).
cnf(refute_0_10613,plain,
join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10609,refute_0_10612]) ).
cnf(refute_0_10614,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10615,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10613,refute_0_10614]) ).
cnf(refute_0_10616,plain,
complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_10601,refute_0_10615]) ).
cnf(refute_0_10617,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10618,plain,
join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10616,refute_0_10617]) ).
cnf(refute_0_10619,plain,
( composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$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(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10620,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(converse(composition(skolemFOFtoCNF_X0,complement(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( $equal(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10618,refute_0_10619]) ).
cnf(refute_0_10621,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10572,refute_0_10620]) ).
cnf(refute_0_10622,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(top,skolemFOFtoCNF_X0)))
| converse(complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(converse(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10623,plain,
( complement(converse(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_2150,refute_0_10622]) ).
cnf(refute_0_10624,plain,
converse(complement(composition(top,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5517,refute_0_10623]) ).
cnf(refute_0_10625,plain,
converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10626,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_10627,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( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_10625,refute_0_10626]) ).
cnf(refute_0_10628,plain,
converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = converse(complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_2714,refute_0_10627]) ).
cnf(refute_0_10629,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != converse(complement(composition(top,skolemFOFtoCNF_X0)))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10630,plain,
( converse(complement(composition(top,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,top))
| converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),converse(complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10628,refute_0_10629]) ).
cnf(refute_0_10631,plain,
converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10624,refute_0_10630]) ).
cnf(refute_0_10632,plain,
complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10633,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)))) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))) ),
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(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10634,plain,
( converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_10632,refute_0_10633]) ).
cnf(refute_0_10635,plain,
complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = complement(complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10631,refute_0_10634]) ).
cnf(refute_0_10636,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != complement(complement(composition(skolemFOFtoCNF_X0,top)))
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10637,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),complement(complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10635,refute_0_10636]) ).
cnf(refute_0_10638,plain,
complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9248,refute_0_10637]) ).
cnf(refute_0_10639,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10640,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10641,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10639,refute_0_10640]) ).
cnf(refute_0_10642,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10638,refute_0_10641]) ).
cnf(refute_0_10643,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0],$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10644,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(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(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10642,refute_0_10643]) ).
cnf(refute_0_10645,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10646,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| 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,composition(skolemFOFtoCNF_X0,top)) ),
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(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10647,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10645,refute_0_10646]) ).
cnf(refute_0_10648,plain,
composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10638,refute_0_10647]) ).
cnf(refute_0_10649,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10650,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10648,refute_0_10649]) ).
cnf(refute_0_10651,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10644,refute_0_10650]) ).
cnf(refute_0_10652,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10621,refute_0_10651]) ).
cnf(refute_0_10653,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10654,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10642,refute_0_10653]) ).
cnf(refute_0_10655,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10652,refute_0_10654]) ).
cnf(refute_0_10656,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10657,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10655,refute_0_10656]) ).
cnf(refute_0_10658,plain,
composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10659,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| 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)))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[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,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10660,plain,
( complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_10658,refute_0_10659]) ).
cnf(refute_0_10661,plain,
composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10638,refute_0_10660]) ).
cnf(refute_0_10662,plain,
( composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10663,plain,
( composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10661,refute_0_10662]) ).
cnf(refute_0_10664,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))) != composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10657,refute_0_10663]) ).
cnf(refute_0_10665,plain,
composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0)))))),composition(one,complement(converse(composition(top,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_10571,refute_0_10664]) ).
cnf(refute_0_10666,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),X_14) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),X_14),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))) ),[0,0,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10667,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),X_14) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10665,refute_0_10666]) ).
cnf(refute_0_10668,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))),X_14),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))) )],[refute_0_10395,refute_0_10667]) ).
cnf(refute_0_10669,plain,
composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) = composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)),
introduced(tautology,[refl,[$fot(composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)))]]) ).
cnf(refute_0_10670,plain,
( composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) != composition(converse(top),composition(skolemFOFtoCNF_X0,X_14))
| converse(top) != top
| composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)),composition(converse(top),composition(skolemFOFtoCNF_X0,X_14))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_10671,plain,
( converse(top) != top
| composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)),composition(converse(top),composition(skolemFOFtoCNF_X0,X_14))) )],[refute_0_10669,refute_0_10670]) ).
cnf(refute_0_10672,plain,
composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,X_14)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_10671]) ).
cnf(refute_0_10673,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)),
inference(subst,[],[refute_0_10020:[bind(X_12,$fot(top))]]) ).
cnf(refute_0_10674,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) != composition(converse(top),composition(skolemFOFtoCNF_X0,X_14))
| composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) != composition(top,composition(skolemFOFtoCNF_X0,X_14))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(top,composition(skolemFOFtoCNF_X0,X_14)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14))),bind(Y,$fot(composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,X_14))))]]) ).
cnf(refute_0_10675,plain,
( composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)) != composition(top,composition(skolemFOFtoCNF_X0,X_14))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(top,composition(skolemFOFtoCNF_X0,X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14),composition(converse(top),composition(skolemFOFtoCNF_X0,X_14))) )],[refute_0_10673,refute_0_10674]) ).
cnf(refute_0_10676,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) = composition(top,composition(skolemFOFtoCNF_X0,X_14)),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,X_14)),composition(top,composition(skolemFOFtoCNF_X0,X_14))) )],[refute_0_10672,refute_0_10675]) ).
cnf(refute_0_10677,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) != composition(top,composition(skolemFOFtoCNF_X0,X_14))
| composition(top,composition(skolemFOFtoCNF_X0,X_14)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))) ),[0],$fot(composition(top,composition(skolemFOFtoCNF_X0,X_14)))]]) ).
cnf(refute_0_10678,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(top,composition(skolemFOFtoCNF_X0,X_14)) = composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14),composition(top,composition(skolemFOFtoCNF_X0,X_14))) )],[refute_0_10676,refute_0_10677]) ).
cnf(refute_0_10679,plain,
composition(converse(skolemFOFtoCNF_X0),X_14) = composition(converse(skolemFOFtoCNF_X0),X_14),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),X_14))]]) ).
cnf(refute_0_10680,plain,
( composition(converse(skolemFOFtoCNF_X0),X_14) != composition(converse(skolemFOFtoCNF_X0),X_14)
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(skolemFOFtoCNF_X0),X_14) = composition(skolemFOFtoCNF_X0,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),X_14),composition(converse(skolemFOFtoCNF_X0),X_14)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10681,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(skolemFOFtoCNF_X0),X_14) = composition(skolemFOFtoCNF_X0,X_14) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),X_14),composition(converse(skolemFOFtoCNF_X0),X_14)) )],[refute_0_10679,refute_0_10680]) ).
cnf(refute_0_10682,plain,
composition(converse(skolemFOFtoCNF_X0),X_14) = composition(skolemFOFtoCNF_X0,X_14),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_10681]) ).
cnf(refute_0_10683,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))]]) ).
cnf(refute_0_10684,plain,
( composition(converse(skolemFOFtoCNF_X0),X_14) != composition(skolemFOFtoCNF_X0,X_14)
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) != composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,X_14))]]) ).
cnf(refute_0_10685,plain,
( composition(converse(skolemFOFtoCNF_X0),X_14) != composition(skolemFOFtoCNF_X0,X_14)
| composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) )],[refute_0_10683,refute_0_10684]) ).
cnf(refute_0_10686,plain,
composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),X_14),composition(skolemFOFtoCNF_X0,X_14)) )],[refute_0_10682,refute_0_10685]) ).
cnf(refute_0_10687,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),
introduced(tautology,[refl,[$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))))]]) ).
cnf(refute_0_10688,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))]]) ).
cnf(refute_0_10689,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))) )],[refute_0_10687,refute_0_10688]) ).
cnf(refute_0_10690,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) )],[refute_0_10686,refute_0_10689]) ).
cnf(refute_0_10691,plain,
composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),
introduced(tautology,[refl,[$fot(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))))]]) ).
cnf(refute_0_10692,plain,
( composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))
| converse(top) != top
| composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_10693,plain,
( converse(top) != top
| composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))) )],[refute_0_10691,refute_0_10692]) ).
cnf(refute_0_10694,plain,
composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_706,refute_0_10693]) ).
cnf(refute_0_10695,plain,
( composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))
| composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))
| composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))))]]) ).
cnf(refute_0_10696,plain,
( composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))
| composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))) )],[refute_0_10694,refute_0_10695]) ).
cnf(refute_0_10697,plain,
composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))) )],[refute_0_10690,refute_0_10696]) ).
cnf(refute_0_10698,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),
inference(subst,[],[refute_0_10020:[bind(X_12,$fot(top)),bind(X_14,$fot(composition(converse(skolemFOFtoCNF_X0),X_14)))]]) ).
cnf(refute_0_10699,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) != composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))
| composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)))),bind(Y,$fot(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))))),bind(Z,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))))]]) ).
cnf(refute_0_10700,plain,
( composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))
| composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)),composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14)))) )],[refute_0_10698,refute_0_10699]) ).
cnf(refute_0_10701,plain,
composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(skolemFOFtoCNF_X0,composition(converse(skolemFOFtoCNF_X0),X_14))),composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))) )],[refute_0_10697,refute_0_10700]) ).
cnf(refute_0_10702,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))
| composition(top,composition(skolemFOFtoCNF_X0,X_14)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(top,composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,X_14)),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))) ),[1],$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))))]]) ).
cnf(refute_0_10703,plain,
( composition(top,composition(skolemFOFtoCNF_X0,X_14)) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(top,composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14)),composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))) )],[refute_0_10701,refute_0_10702]) ).
cnf(refute_0_10704,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14) != composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))
| composition(top,composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,X_14)),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))) )],[refute_0_10678,refute_0_10703]) ).
cnf(refute_0_10705,plain,
composition(top,composition(skolemFOFtoCNF_X0,X_14)) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,top)),X_14),composition(converse(composition(skolemFOFtoCNF_X0,top)),composition(converse(skolemFOFtoCNF_X0),X_14))) )],[refute_0_10668,refute_0_10704]) ).
cnf(refute_0_10706,plain,
( composition(top,composition(skolemFOFtoCNF_X0,X_14)) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))
| composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) = composition(top,composition(skolemFOFtoCNF_X0,X_14)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,composition(skolemFOFtoCNF_X0,X_14)))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))))]]) ).
cnf(refute_0_10707,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14))) = composition(top,composition(skolemFOFtoCNF_X0,X_14)),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,X_14)),composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,X_14)))) )],[refute_0_10705,refute_0_10706]) ).
cnf(refute_0_10708,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10707:[bind(X_14,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10709,plain,
( composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10710,plain,
( composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10708,refute_0_10709]) ).
cnf(refute_0_10711,plain,
composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_10394,refute_0_10710]) ).
cnf(refute_0_10712,plain,
composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10713,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10714,plain,
( composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10715,plain,
( composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10713,refute_0_10714]) ).
cnf(refute_0_10716,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10712,refute_0_10715]) ).
cnf(refute_0_10717,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(top,skolemFOFtoCNF_X0)
| composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10718,plain,
( composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(top,skolemFOFtoCNF_X0)
| composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10716,refute_0_10717]) ).
cnf(refute_0_10719,plain,
composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_10711,refute_0_10718]) ).
cnf(refute_0_10720,plain,
composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(top)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X2,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10721,plain,
( composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10722,plain,
( composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(top,skolemFOFtoCNF_X0)
| composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10720,refute_0_10721]) ).
cnf(refute_0_10723,plain,
composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_10719,refute_0_10722]) ).
cnf(refute_0_10724,plain,
converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10725,plain,
( composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10726,plain,
( composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,skolemFOFtoCNF_X0)
| converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10724,refute_0_10725]) ).
cnf(refute_0_10727,plain,
converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_10723,refute_0_10726]) ).
cnf(refute_0_10728,plain,
( converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,skolemFOFtoCNF_X0))
| converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(composition(top,skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10729,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_10727,refute_0_10728]) ).
cnf(refute_0_10730,plain,
converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5513,refute_0_10729]) ).
cnf(refute_0_10731,plain,
converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = composition(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(X_11)),
inference(subst,[],[refute_0_1830:[bind(X0,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_5,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10732,plain,
( complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10733,plain,
join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10465,refute_0_10732]) ).
cnf(refute_0_10734,plain,
( converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != composition(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(X_11))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),composition(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(X_11))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10735,plain,
( converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != composition(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(X_11))
| converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10733,refute_0_10734]) ).
cnf(refute_0_10736,plain,
converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),composition(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(X_11))) )],[refute_0_10731,refute_0_10735]) ).
cnf(refute_0_10737,plain,
converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_312:[bind(X0,$fot(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10738,plain,
( converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10739,plain,
( converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10733,refute_0_10738]) ).
cnf(refute_0_10740,plain,
converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10737,refute_0_10739]) ).
cnf(refute_0_10741,plain,
join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_95,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10742,plain,
join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10743,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10744,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10742,refute_0_10743]) ).
cnf(refute_0_10745,plain,
join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9393,refute_0_10744]) ).
cnf(refute_0_10746,plain,
( join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10747,plain,
( join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10745,refute_0_10746]) ).
cnf(refute_0_10748,plain,
join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10741,refute_0_10747]) ).
cnf(refute_0_10749,plain,
join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_95,$fot(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10750,plain,
converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_400:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_4,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10751,plain,
( converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10752,plain,
( join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10750,refute_0_10751]) ).
cnf(refute_0_10753,plain,
converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10749,refute_0_10752]) ).
cnf(refute_0_10754,plain,
( converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10755,plain,
( converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10737,refute_0_10754]) ).
cnf(refute_0_10756,plain,
converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10753,refute_0_10755]) ).
cnf(refute_0_10757,plain,
( converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10758,plain,
( join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10756,refute_0_10757]) ).
cnf(refute_0_10759,plain,
converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10748,refute_0_10758]) ).
cnf(refute_0_10760,plain,
( converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10761,plain,
( converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10759,refute_0_10760]) ).
cnf(refute_0_10762,plain,
( converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10763,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9393,refute_0_10762]) ).
cnf(refute_0_10764,plain,
( converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10761,refute_0_10763]) ).
cnf(refute_0_10765,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10740,refute_0_10764]) ).
cnf(refute_0_10766,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10767,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10741,refute_0_10766]) ).
cnf(refute_0_10768,plain,
join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10765,refute_0_10767]) ).
cnf(refute_0_10769,plain,
( join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10770,plain,
( join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10745,refute_0_10769]) ).
cnf(refute_0_10771,plain,
join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10768,refute_0_10770]) ).
cnf(refute_0_10772,plain,
composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10773,plain,
( composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10774,plain,
( join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10772,refute_0_10773]) ).
cnf(refute_0_10775,plain,
composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10771,refute_0_10774]) ).
cnf(refute_0_10776,plain,
converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_10777,plain,
( composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) != converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))
| converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10778,plain,
( composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_10776,refute_0_10777]) ).
cnf(refute_0_10779,plain,
converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10775,refute_0_10778]) ).
cnf(refute_0_10780,plain,
converse(composition(X_18,converse(join(converse(X0),X_5)))) = composition(join(converse(X0),X_5),converse(X_18)),
inference(subst,[],[refute_0_1577:[bind(X0,$fot(join(converse(X0),X_5))),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_10781,plain,
( converse(composition(X_18,converse(join(converse(X0),X_5)))) != composition(join(converse(X0),X_5),converse(X_18))
| converse(join(converse(X0),X_5)) != join(X0,converse(X_5))
| converse(composition(X_18,join(X0,converse(X_5)))) = composition(join(converse(X0),X_5),converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_18,converse(join(converse(X0),X_5)))),composition(join(converse(X0),X_5),converse(X_18))) ),[0,0,1],$fot(join(X0,converse(X_5)))]]) ).
cnf(refute_0_10782,plain,
( converse(composition(X_18,converse(join(converse(X0),X_5)))) != composition(join(converse(X0),X_5),converse(X_18))
| converse(composition(X_18,join(X0,converse(X_5)))) = composition(join(converse(X0),X_5),converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(X0,converse(X_5))) )],[refute_0_272,refute_0_10781]) ).
cnf(refute_0_10783,plain,
converse(composition(X_18,join(X0,converse(X_5)))) = composition(join(converse(X0),X_5),converse(X_18)),
inference(resolve,[$cnf( $equal(converse(composition(X_18,converse(join(converse(X0),X_5)))),composition(join(converse(X0),X_5),converse(X_18))) )],[refute_0_10780,refute_0_10782]) ).
cnf(refute_0_10784,plain,
converse(composition(X_494,join(X_493,converse(X_495)))) = composition(join(converse(X_493),X_495),converse(X_494)),
inference(subst,[],[refute_0_10783:[bind(X0,$fot(X_493)),bind(X_18,$fot(X_494)),bind(X_5,$fot(X_495))]]) ).
cnf(refute_0_10785,plain,
join(converse(X_495),X_493) = join(X_493,converse(X_495)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(X_495))),bind(X1,$fot(X_493))]]) ).
cnf(refute_0_10786,plain,
( join(converse(X_495),X_493) != join(X_493,converse(X_495))
| join(X_493,converse(X_495)) = join(converse(X_495),X_493) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(X_495),X_493))),bind(Y,$fot(join(X_493,converse(X_495))))]]) ).
cnf(refute_0_10787,plain,
join(X_493,converse(X_495)) = join(converse(X_495),X_493),
inference(resolve,[$cnf( $equal(join(converse(X_495),X_493),join(X_493,converse(X_495))) )],[refute_0_10785,refute_0_10786]) ).
cnf(refute_0_10788,plain,
( converse(composition(X_494,join(X_493,converse(X_495)))) != composition(join(converse(X_493),X_495),converse(X_494))
| join(X_493,converse(X_495)) != join(converse(X_495),X_493)
| converse(composition(X_494,join(converse(X_495),X_493))) = composition(join(converse(X_493),X_495),converse(X_494)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_494,join(X_493,converse(X_495)))),composition(join(converse(X_493),X_495),converse(X_494))) ),[0,0,1],$fot(join(converse(X_495),X_493))]]) ).
cnf(refute_0_10789,plain,
( converse(composition(X_494,join(X_493,converse(X_495)))) != composition(join(converse(X_493),X_495),converse(X_494))
| converse(composition(X_494,join(converse(X_495),X_493))) = composition(join(converse(X_493),X_495),converse(X_494)) ),
inference(resolve,[$cnf( $equal(join(X_493,converse(X_495)),join(converse(X_495),X_493)) )],[refute_0_10787,refute_0_10788]) ).
cnf(refute_0_10790,plain,
converse(composition(X_494,join(converse(X_495),X_493))) = composition(join(converse(X_493),X_495),converse(X_494)),
inference(resolve,[$cnf( $equal(converse(composition(X_494,join(X_493,converse(X_495)))),composition(join(converse(X_493),X_495),converse(X_494))) )],[refute_0_10784,refute_0_10789]) ).
cnf(refute_0_10791,plain,
( converse(composition(X_18,join(X0,converse(X_5)))) != composition(join(converse(X0),X_5),converse(X_18))
| composition(join(converse(X0),X_5),converse(X_18)) = converse(composition(X_18,join(X0,converse(X_5)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_18,join(X0,converse(X_5)))))),bind(Y,$fot(composition(join(converse(X0),X_5),converse(X_18))))]]) ).
cnf(refute_0_10792,plain,
composition(join(converse(X0),X_5),converse(X_18)) = converse(composition(X_18,join(X0,converse(X_5)))),
inference(resolve,[$cnf( $equal(converse(composition(X_18,join(X0,converse(X_5)))),composition(join(converse(X0),X_5),converse(X_18))) )],[refute_0_10783,refute_0_10791]) ).
cnf(refute_0_10793,plain,
composition(join(converse(X_493),X_495),converse(X_494)) = converse(composition(X_494,join(X_493,converse(X_495)))),
inference(subst,[],[refute_0_10792:[bind(X0,$fot(X_493)),bind(X_18,$fot(X_494)),bind(X_5,$fot(X_495))]]) ).
cnf(refute_0_10794,plain,
( composition(join(converse(X_493),X_495),converse(X_494)) != converse(composition(X_494,join(X_493,converse(X_495))))
| converse(composition(X_494,join(converse(X_495),X_493))) != composition(join(converse(X_493),X_495),converse(X_494))
| converse(composition(X_494,join(converse(X_495),X_493))) = converse(composition(X_494,join(X_493,converse(X_495)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_494,join(converse(X_495),X_493))),composition(join(converse(X_493),X_495),converse(X_494))) ),[1],$fot(converse(composition(X_494,join(X_493,converse(X_495)))))]]) ).
cnf(refute_0_10795,plain,
( converse(composition(X_494,join(converse(X_495),X_493))) != composition(join(converse(X_493),X_495),converse(X_494))
| converse(composition(X_494,join(converse(X_495),X_493))) = converse(composition(X_494,join(X_493,converse(X_495)))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X_493),X_495),converse(X_494)),converse(composition(X_494,join(X_493,converse(X_495))))) )],[refute_0_10793,refute_0_10794]) ).
cnf(refute_0_10796,plain,
converse(composition(X_494,join(converse(X_495),X_493))) = converse(composition(X_494,join(X_493,converse(X_495)))),
inference(resolve,[$cnf( $equal(converse(composition(X_494,join(converse(X_495),X_493))),composition(join(converse(X_493),X_495),converse(X_494))) )],[refute_0_10790,refute_0_10795]) ).
cnf(refute_0_10797,plain,
converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_10796:[bind(X_493,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_494,$fot(X_11)),bind(X_495,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10798,plain,
( converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) != converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))
| converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10799,plain,
( converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) != converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_10797,refute_0_10798]) ).
cnf(refute_0_10800,plain,
converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10779,refute_0_10799]) ).
cnf(refute_0_10801,plain,
( converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))
| converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))) ),[0],$fot(converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10802,plain,
( converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))
| converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10800,refute_0_10801]) ).
cnf(refute_0_10803,plain,
converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)),
inference(resolve,[$cnf( $equal(converse(composition(X_11,join(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))) )],[refute_0_10736,refute_0_10802]) ).
cnf(refute_0_10804,plain,
( converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))))]]) ).
cnf(refute_0_10805,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11)) = converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(X_11,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(X_11))) )],[refute_0_10803,refute_0_10804]) ).
cnf(refute_0_10806,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10805:[bind(X_11,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10807,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10808,plain,
( converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10806,refute_0_10807]) ).
cnf(refute_0_10809,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10730,refute_0_10808]) ).
cnf(refute_0_10810,plain,
complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10811,plain,
converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10812,plain,
composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_860:[bind(X_157,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10813,plain,
converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10814,plain,
( composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10815,plain,
( composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10813,refute_0_10814]) ).
cnf(refute_0_10816,plain,
converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10812,refute_0_10815]) ).
cnf(refute_0_10817,plain,
( converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10818,plain,
( converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10816,refute_0_10817]) ).
cnf(refute_0_10819,plain,
converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10811,refute_0_10818]) ).
cnf(refute_0_10820,plain,
complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10821,plain,
( complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10822,plain,
( converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10820,refute_0_10821]) ).
cnf(refute_0_10823,plain,
complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10819,refute_0_10822]) ).
cnf(refute_0_10824,plain,
( complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))),bind(Y,$fot(complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10825,plain,
( complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10823,refute_0_10824]) ).
cnf(refute_0_10826,plain,
complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10810,refute_0_10825]) ).
cnf(refute_0_10827,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10828,plain,
( complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10829,plain,
( complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10827,refute_0_10828]) ).
cnf(refute_0_10830,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10826,refute_0_10829]) ).
cnf(refute_0_10831,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10832,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10830,refute_0_10831]) ).
cnf(refute_0_10833,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10809,refute_0_10832]) ).
cnf(refute_0_10834,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,top) = composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10835,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,top) = composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10833,refute_0_10834]) ).
cnf(refute_0_10836,plain,
composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_96:[bind(X_13,$fot(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_10837,plain,
( complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))))),bind(Y,$fot(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10838,plain,
( complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10836,refute_0_10837]) ).
cnf(refute_0_10839,plain,
composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10826,refute_0_10838]) ).
cnf(refute_0_10840,plain,
( composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,top) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,top) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) ),[1],$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10841,plain,
( composition(skolemFOFtoCNF_X0,top) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,top) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10839,refute_0_10840]) ).
cnf(refute_0_10842,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) != composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,top) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10835,refute_0_10841]) ).
cnf(refute_0_10843,plain,
composition(skolemFOFtoCNF_X0,top) = converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),composition(one,complement(converse(composition(top,complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))) )],[refute_0_10298,refute_0_10842]) ).
cnf(refute_0_10844,plain,
( composition(skolemFOFtoCNF_X0,top) != converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Y,$fot(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10845,plain,
converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_10843,refute_0_10844]) ).
cnf(refute_0_10846,plain,
complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10847,plain,
( complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10848,plain,
( converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_10846,refute_0_10847]) ).
cnf(refute_0_10849,plain,
complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10845,refute_0_10848]) ).
cnf(refute_0_10850,plain,
join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10851,plain,
( complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10852,plain,
( complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_10850,refute_0_10851]) ).
cnf(refute_0_10853,plain,
join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10849,refute_0_10852]) ).
cnf(refute_0_10854,plain,
( join(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(one,complement(composition(skolemFOFtoCNF_X0,top)))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10855,plain,
( join(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_10853,refute_0_10854]) ).
cnf(refute_0_10856,plain,
join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10190,refute_0_10855]) ).
cnf(refute_0_10857,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10858,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10859,plain,
( join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_10857,refute_0_10858]) ).
cnf(refute_0_10860,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10856,refute_0_10859]) ).
cnf(refute_0_10861,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10862,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10860,refute_0_10861]) ).
cnf(refute_0_10863,plain,
composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) )],[refute_0_10131,refute_0_10862]) ).
cnf(refute_0_10864,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0,1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10865,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_10863,refute_0_10864]) ).
cnf(refute_0_10866,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9958,refute_0_10865]) ).
cnf(refute_0_10867,plain,
join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),join(X_7,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4175:[bind(X_5,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10868,plain,
join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))))) = complement(top),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(top)),bind(X_45,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_46,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10869,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) ),[0],$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_10870,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10665,refute_0_10869]) ).
cnf(refute_0_10871,plain,
composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_10652,refute_0_10870]) ).
cnf(refute_0_10872,plain,
( composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,top)
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))))) != complement(top)
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))))),complement(top)) ),[0,1,1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_10873,plain,
( join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))))) != complement(top)
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10871,refute_0_10872]) ).
cnf(refute_0_10874,plain,
join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top))))),complement(top)) )],[refute_0_10868,refute_0_10873]) ).
cnf(refute_0_10875,plain,
join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10876,plain,
composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) = composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1867:[bind(X0,$fot(complement(composition(top,skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X2,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10877,plain,
converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10878,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) ),[1,0],$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10879,plain,
( composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) != composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) )],[refute_0_10877,refute_0_10878]) ).
cnf(refute_0_10880,plain,
converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0),composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) )],[refute_0_10876,refute_0_10879]) ).
cnf(refute_0_10881,plain,
composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_7118:[bind(X_11,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10882,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))
| converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10883,plain,
( converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) )],[refute_0_10881,refute_0_10882]) ).
cnf(refute_0_10884,plain,
composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_10880,refute_0_10883]) ).
cnf(refute_0_10885,plain,
composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_5526:[bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10886,plain,
composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10887,plain,
( composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))
| composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10888,plain,
( composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10886,refute_0_10887]) ).
cnf(refute_0_10889,plain,
composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_10885,refute_0_10888]) ).
cnf(refute_0_10890,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10891,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10889,refute_0_10890]) ).
cnf(refute_0_10892,plain,
composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_10884,refute_0_10891]) ).
cnf(refute_0_10893,plain,
composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14) = composition(converse(skolemFOFtoCNF_X0),composition(converse(X_13),X_14)),
inference(subst,[],[refute_0_2674:[bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_10894,plain,
( composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14) != composition(converse(skolemFOFtoCNF_X0),composition(converse(X_13),X_14))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14) = composition(skolemFOFtoCNF_X0,composition(converse(X_13),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14),composition(converse(skolemFOFtoCNF_X0),composition(converse(X_13),X_14))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_10895,plain,
( composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14) != composition(converse(skolemFOFtoCNF_X0),composition(converse(X_13),X_14))
| composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14) = composition(skolemFOFtoCNF_X0,composition(converse(X_13),X_14)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_10894]) ).
cnf(refute_0_10896,plain,
composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14) = composition(skolemFOFtoCNF_X0,composition(converse(X_13),X_14)),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_13,skolemFOFtoCNF_X0)),X_14),composition(converse(skolemFOFtoCNF_X0),composition(converse(X_13),X_14))) )],[refute_0_10893,refute_0_10895]) ).
cnf(refute_0_10897,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_10896:[bind(X_13,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_14,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_10898,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))
| composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10899,plain,
( composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10897,refute_0_10898]) ).
cnf(refute_0_10900,plain,
composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(converse(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_10892,refute_0_10899]) ).
cnf(refute_0_10901,plain,
join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10902,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10903,plain,
( composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10901,refute_0_10902]) ).
cnf(refute_0_10904,plain,
join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_10900,refute_0_10903]) ).
cnf(refute_0_10905,plain,
join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_10906,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_10907,plain,
( complement(top) != zero
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10905,refute_0_10906]) ).
cnf(refute_0_10908,plain,
join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_10907]) ).
cnf(refute_0_10909,plain,
( join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))
| join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10910,plain,
( join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_10908,refute_0_10909]) ).
cnf(refute_0_10911,plain,
join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) )],[refute_0_10904,refute_0_10910]) ).
cnf(refute_0_10912,plain,
( join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))
| join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10913,plain,
( join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) )],[refute_0_10911,refute_0_10912]) ).
cnf(refute_0_10914,plain,
join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) = converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_10875,refute_0_10913]) ).
cnf(refute_0_10915,plain,
( join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) ),[0],$fot(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10916,plain,
( join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_10914,refute_0_10915]) ).
cnf(refute_0_10917,plain,
( complement(top) != zero
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != complement(top)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_10918,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != complement(top)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_10917]) ).
cnf(refute_0_10919,plain,
( join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_10916,refute_0_10918]) ).
cnf(refute_0_10920,plain,
converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) )],[refute_0_10874,refute_0_10919]) ).
cnf(refute_0_10921,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != zero
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(converse(X_6),join(X_7,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),join(X_7,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(converse(X_6),join(X_7,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_10922,plain,
( join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(converse(X_6),join(X_7,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),join(X_7,zero)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),zero) )],[refute_0_10920,refute_0_10921]) ).
cnf(refute_0_10923,plain,
join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),join(X_7,zero)),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(converse(X_6),join(X_7,converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))) )],[refute_0_10867,refute_0_10922]) ).
cnf(refute_0_10924,plain,
join(zero,join(converse(X_6),X_7)) = join(converse(X_6),X_7),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(join(converse(X_6),X_7)))]]) ).
cnf(refute_0_10925,plain,
join(converse(X_6),join(X_7,zero)) = join(zero,join(converse(X_6),X_7)),
inference(subst,[],[refute_0_4697:[bind(X0,$fot(converse(X_6))),bind(X1,$fot(X_7)),bind(X_517,$fot(zero))]]) ).
cnf(refute_0_10926,plain,
( join(converse(X_6),join(X_7,zero)) != join(zero,join(converse(X_6),X_7))
| join(zero,join(converse(X_6),X_7)) != join(converse(X_6),X_7)
| join(converse(X_6),join(X_7,zero)) = join(converse(X_6),X_7) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),join(X_7,zero)))),bind(Y,$fot(join(zero,join(converse(X_6),X_7)))),bind(Z,$fot(join(converse(X_6),X_7)))]]) ).
cnf(refute_0_10927,plain,
( join(zero,join(converse(X_6),X_7)) != join(converse(X_6),X_7)
| join(converse(X_6),join(X_7,zero)) = join(converse(X_6),X_7) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(X_7,zero)),join(zero,join(converse(X_6),X_7))) )],[refute_0_10925,refute_0_10926]) ).
cnf(refute_0_10928,plain,
join(converse(X_6),join(X_7,zero)) = join(converse(X_6),X_7),
inference(resolve,[$cnf( $equal(join(zero,join(converse(X_6),X_7)),join(converse(X_6),X_7)) )],[refute_0_10924,refute_0_10927]) ).
cnf(refute_0_10929,plain,
( join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(converse(X_6),join(X_7,zero))
| join(converse(X_6),join(X_7,zero)) != join(converse(X_6),X_7)
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),X_7) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(converse(X_6),X_7)) ),[0],$fot(join(converse(X_6),join(X_7,zero)))]]) ).
cnf(refute_0_10930,plain,
( join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(converse(X_6),join(X_7,zero))
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),X_7) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(X_7,zero)),join(converse(X_6),X_7)) )],[refute_0_10928,refute_0_10929]) ).
cnf(refute_0_10931,plain,
join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(converse(X_6),X_7),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(converse(X_6),join(X_7,zero))) )],[refute_0_10923,refute_0_10930]) ).
cnf(refute_0_10932,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_268:[bind(X1,$fot(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10933,plain,
( converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != zero
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = join(converse(X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_10934,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = join(converse(X0),zero) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),zero) )],[refute_0_10920,refute_0_10933]) ).
cnf(refute_0_10935,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = join(converse(X0),zero),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),join(converse(X0),converse(composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) )],[refute_0_10932,refute_0_10934]) ).
cnf(refute_0_10936,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != join(converse(X0),zero)
| join(converse(X0),zero) != converse(X0)
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = converse(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),converse(X0)) ),[0],$fot(join(converse(X0),zero))]]) ).
cnf(refute_0_10937,plain,
( converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != join(converse(X0),zero)
| converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = converse(X0) ),
inference(resolve,[$cnf( $equal(join(converse(X0),zero),converse(X0)) )],[refute_0_1119,refute_0_10936]) ).
cnf(refute_0_10938,plain,
converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = converse(X0),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),join(converse(X0),zero)) )],[refute_0_10935,refute_0_10937]) ).
cnf(refute_0_10939,plain,
converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) = converse(X_6),
inference(subst,[],[refute_0_10938:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_10940,plain,
join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10941,plain,
( converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != converse(X_6)
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(X_7,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(X_6))]]) ).
cnf(refute_0_10942,plain,
( converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) != converse(X_6)
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(X_7,converse(X_6)) ),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))))) )],[refute_0_10940,refute_0_10941]) ).
cnf(refute_0_10943,plain,
join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) = join(X_7,converse(X_6)),
inference(resolve,[$cnf( $equal(converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),converse(X_6)) )],[refute_0_10939,refute_0_10942]) ).
cnf(refute_0_10944,plain,
( join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(X_7,converse(X_6))
| join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(converse(X_6),X_7)
| join(X_7,converse(X_6)) = join(converse(X_6),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(converse(X_6),X_7)) ),[0],$fot(join(X_7,converse(X_6)))]]) ).
cnf(refute_0_10945,plain,
( join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))) != join(converse(X_6),X_7)
| join(X_7,converse(X_6)) = join(converse(X_6),X_7) ),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(X_7,converse(X_6))) )],[refute_0_10943,refute_0_10944]) ).
cnf(refute_0_10946,plain,
join(X_7,converse(X_6)) = join(converse(X_6),X_7),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(X_6,composition(complement(composition(top,skolemFOFtoCNF_X0)),composition(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),join(converse(X_6),X_7)) )],[refute_0_10931,refute_0_10945]) ).
cnf(refute_0_10947,plain,
( join(X_7,converse(X_6)) != join(converse(X_6),X_7)
| join(converse(X_6),X_7) = join(X_7,converse(X_6)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_7,converse(X_6)))),bind(Y,$fot(join(converse(X_6),X_7)))]]) ).
cnf(refute_0_10948,plain,
join(converse(X_6),X_7) = join(X_7,converse(X_6)),
inference(resolve,[$cnf( $equal(join(X_7,converse(X_6)),join(converse(X_6),X_7)) )],[refute_0_10946,refute_0_10947]) ).
cnf(refute_0_10949,plain,
join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_10948:[bind(X_6,$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(X_7,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10950,plain,
join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10951,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10952,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10950,refute_0_10951]) ).
cnf(refute_0_10953,plain,
join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9414,refute_0_10952]) ).
cnf(refute_0_10954,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10955,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10956,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10954,refute_0_10955]) ).
cnf(refute_0_10957,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_10001,refute_0_10956]) ).
cnf(refute_0_10958,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10959,plain,
( join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10957,refute_0_10958]) ).
cnf(refute_0_10960,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10953,refute_0_10959]) ).
cnf(refute_0_10961,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10962,plain,
( join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10960,refute_0_10961]) ).
cnf(refute_0_10963,plain,
join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_10949,refute_0_10962]) ).
cnf(refute_0_10964,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),bind(X_95,$fot(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10965,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10966,plain,
( join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10964,refute_0_10965]) ).
cnf(refute_0_10967,plain,
join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_10963,refute_0_10966]) ).
cnf(refute_0_10968,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10969,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_10967,refute_0_10968]) ).
cnf(refute_0_10970,plain,
( complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10971,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9414,refute_0_10970]) ).
cnf(refute_0_10972,plain,
( join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10969,refute_0_10971]) ).
cnf(refute_0_10973,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10866,refute_0_10972]) ).
cnf(refute_0_10974,plain,
converse(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10975,plain,
composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2554:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(X_275,$fot(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10976,plain,
complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_350,$fot(complement(composition(complement(one),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10977,plain,
complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(one),skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_9775:[bind(X_300,$fot(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10978,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(one),skolemFOFtoCNF_X0)))))
| join(one,composition(complement(one),skolemFOFtoCNF_X0)) != join(one,composition(top,skolemFOFtoCNF_X0))
| complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(one),skolemFOFtoCNF_X0)))))) ),[1,1,1,0],$fot(join(one,composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10979,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(one),skolemFOFtoCNF_X0)))))
| complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(one),skolemFOFtoCNF_X0)),join(one,composition(top,skolemFOFtoCNF_X0))) )],[refute_0_9845,refute_0_10978]) ).
cnf(refute_0_10980,plain,
complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(one),skolemFOFtoCNF_X0)))))) )],[refute_0_10977,refute_0_10979]) ).
cnf(refute_0_10981,plain,
join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))) = join(one,complement(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9809:[bind(X_521,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10982,plain,
meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10983,plain,
( join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_10984,plain,
( join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_10982,refute_0_10983]) ).
cnf(refute_0_10985,plain,
meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10981,refute_0_10984]) ).
cnf(refute_0_10986,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_10987,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))
| complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_10985,refute_0_10986]) ).
cnf(refute_0_10988,plain,
complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_10980,refute_0_10987]) ).
cnf(refute_0_10989,plain,
meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10990,plain,
( join(one,complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10991,plain,
( join(one,complement(composition(top,skolemFOFtoCNF_X0))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_10989,refute_0_10990]) ).
cnf(refute_0_10992,plain,
meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(top,skolemFOFtoCNF_X0))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_10568,refute_0_10991]) ).
cnf(refute_0_10993,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_10994,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10992,refute_0_10993]) ).
cnf(refute_0_10995,plain,
complement(composition(complement(one),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_10988,refute_0_10994]) ).
cnf(refute_0_10996,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(complement(one),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(one),skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_10997,plain,
meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(composition(complement(one),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10995,refute_0_10996]) ).
cnf(refute_0_10998,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(composition(complement(one),skolemFOFtoCNF_X0))
| complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,1,0],$fot(complement(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_10999,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_10997,refute_0_10998]) ).
cnf(refute_0_11000,plain,
complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_10976,refute_0_10999]) ).
cnf(refute_0_11001,plain,
complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11002,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11003,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11001,refute_0_11002]) ).
cnf(refute_0_11004,plain,
meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11005,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11006,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11004,refute_0_11005]) ).
cnf(refute_0_11007,plain,
meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11001,refute_0_11006]) ).
cnf(refute_0_11008,plain,
complement(complement(composition(complement(one),skolemFOFtoCNF_X0))) = composition(complement(one),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11009,plain,
meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11010,plain,
( complement(complement(composition(complement(one),skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11011,plain,
( complement(complement(composition(complement(one),skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11009,refute_0_11010]) ).
cnf(refute_0_11012,plain,
meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11008,refute_0_11011]) ).
cnf(refute_0_11013,plain,
( meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11014,plain,
( meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11012,refute_0_11013]) ).
cnf(refute_0_11015,plain,
meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11007,refute_0_11014]) ).
cnf(refute_0_11016,plain,
meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))),bind(X_28,$fot(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11017,plain,
( meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11018,plain,
( meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))),meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11016,refute_0_11017]) ).
cnf(refute_0_11019,plain,
meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11015,refute_0_11018]) ).
cnf(refute_0_11020,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) != meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11021,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11019,refute_0_11020]) ).
cnf(refute_0_11022,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) )],[refute_0_11003,refute_0_11021]) ).
cnf(refute_0_11023,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) )],[refute_0_11000,refute_0_11022]) ).
cnf(refute_0_11024,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11025,plain,
meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11023,refute_0_11024]) ).
cnf(refute_0_11026,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11027,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11025,refute_0_11026]) ).
cnf(refute_0_11028,plain,
composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_10975,refute_0_11027]) ).
cnf(refute_0_11029,plain,
converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(X1)),
inference(subst,[],[refute_0_268:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11030,plain,
converse(composition(skolemFOFtoCNF_X0,complement(one))) = composition(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1581:[bind(X_11,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11031,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(one))) != composition(complement(one),converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| converse(composition(skolemFOFtoCNF_X0,complement(one))) = composition(complement(one),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),composition(complement(one),converse(skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11032,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(one))) != composition(complement(one),converse(skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(one))) = composition(complement(one),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_11031]) ).
cnf(refute_0_11033,plain,
converse(composition(skolemFOFtoCNF_X0,complement(one))) = composition(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),composition(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_11030,refute_0_11032]) ).
cnf(refute_0_11034,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(one))) != composition(complement(one),skolemFOFtoCNF_X0)
| converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(X1))
| converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) = join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(X1))) ),[1,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11035,plain,
( converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(X1))
| converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) = join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11033,refute_0_11034]) ).
cnf(refute_0_11036,plain,
converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) = join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),converse(X1))) )],[refute_0_11029,refute_0_11035]) ).
cnf(refute_0_11037,plain,
( converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) != join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1))
| join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1)) = converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)))),bind(Y,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1))))]]) ).
cnf(refute_0_11038,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1)) = converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X1)),join(composition(complement(one),skolemFOFtoCNF_X0),converse(X1))) )],[refute_0_11036,refute_0_11037]) ).
cnf(refute_0_11039,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_11038:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11040,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(complement(one),skolemFOFtoCNF_X0) = converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(one),skolemFOFtoCNF_X0),converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11041,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| composition(complement(one),skolemFOFtoCNF_X0) = converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11039,refute_0_11040]) ).
cnf(refute_0_11042,plain,
composition(complement(one),skolemFOFtoCNF_X0) = converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(one),skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11028,refute_0_11041]) ).
cnf(refute_0_11043,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(complement(one),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(one),skolemFOFtoCNF_X0))),bind(Y,$fot(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11044,plain,
converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11042,refute_0_11043]) ).
cnf(refute_0_11045,plain,
( converse(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(complement(one),skolemFOFtoCNF_X0)
| converse(composition(complement(one),skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11046,plain,
( converse(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(one),skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11044,refute_0_11045]) ).
cnf(refute_0_11047,plain,
converse(composition(complement(one),skolemFOFtoCNF_X0)) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_10974,refute_0_11046]) ).
cnf(refute_0_11048,plain,
converse(composition(complement(one),skolemFOFtoCNF_X0)) = composition(converse(skolemFOFtoCNF_X0),complement(one)),
inference(subst,[],[refute_0_3557:[bind(X_12,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11049,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),complement(one))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| converse(composition(complement(one),skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),complement(one))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11050,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(converse(skolemFOFtoCNF_X0),complement(one))
| converse(composition(complement(one),skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_11049]) ).
cnf(refute_0_11051,plain,
converse(composition(complement(one),skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),composition(converse(skolemFOFtoCNF_X0),complement(one))) )],[refute_0_11048,refute_0_11050]) ).
cnf(refute_0_11052,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| converse(composition(complement(one),skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(one)) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11053,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(one)) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11051,refute_0_11052]) ).
cnf(refute_0_11054,plain,
composition(skolemFOFtoCNF_X0,complement(one)) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11047,refute_0_11053]) ).
cnf(refute_0_11055,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11056,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11054,refute_0_11055]) ).
cnf(refute_0_11057,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) = join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_95,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11058,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) != join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11059,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))),join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11057,refute_0_11058]) ).
cnf(refute_0_11060,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11056,refute_0_11059]) ).
cnf(refute_0_11061,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2554:[bind(X1,$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))),bind(X_275,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11062,plain,
complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),bind(X_350,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11063,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_9775:[bind(X_300,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11064,plain,
join(one,composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9839:[bind(X_206,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11065,plain,
( join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| join(one,composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_11066,plain,
( join(one,composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3230,refute_0_11065]) ).
cnf(refute_0_11067,plain,
join(one,composition(top,skolemFOFtoCNF_X0)) = join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,complement(converse(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_11064,refute_0_11066]) ).
cnf(refute_0_11068,plain,
( join(one,composition(top,skolemFOFtoCNF_X0)) != join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11069,plain,
join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = join(one,composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,composition(top,skolemFOFtoCNF_X0)),join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_11067,refute_0_11068]) ).
cnf(refute_0_11070,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))
| join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != join(one,composition(top,skolemFOFtoCNF_X0))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))) ),[1,1,1,0],$fot(join(one,composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11071,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11069,refute_0_11070]) ).
cnf(refute_0_11072,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))) )],[refute_0_11063,refute_0_11071]) ).
cnf(refute_0_11073,plain,
meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11074,plain,
( join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11075,plain,
( join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))) != join(one,complement(composition(top,skolemFOFtoCNF_X0)))
| meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11073,refute_0_11074]) ).
cnf(refute_0_11076,plain,
meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_10981,refute_0_11075]) ).
cnf(refute_0_11077,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11078,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))
| complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0))))),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_11076,refute_0_11077]) ).
cnf(refute_0_11079,plain,
complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(join(one,composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11072,refute_0_11078]) ).
cnf(refute_0_11080,plain,
( complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11081,plain,
meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_11079,refute_0_11080]) ).
cnf(refute_0_11082,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))
| meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11083,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))
| complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_11081,refute_0_11082]) ).
cnf(refute_0_11084,plain,
complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_11062,refute_0_11083]) ).
cnf(refute_0_11085,plain,
complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(one),composition(top,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1038:[bind(X1,$fot(composition(top,skolemFOFtoCNF_X0))),bind(X_31,$fot(one))]]) ).
cnf(refute_0_11086,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11087,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11085,refute_0_11086]) ).
cnf(refute_0_11088,plain,
meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11089,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11090,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11088,refute_0_11089]) ).
cnf(refute_0_11091,plain,
meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11085,refute_0_11090]) ).
cnf(refute_0_11092,plain,
complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_292:[bind(X1,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11093,plain,
meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11094,plain,
( complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11095,plain,
( complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11093,refute_0_11094]) ).
cnf(refute_0_11096,plain,
meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_11092,refute_0_11095]) ).
cnf(refute_0_11097,plain,
( meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11098,plain,
( meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11096,refute_0_11097]) ).
cnf(refute_0_11099,plain,
meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11091,refute_0_11098]) ).
cnf(refute_0_11100,plain,
meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(X_28,$fot(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11101,plain,
( meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11102,plain,
( meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11100,refute_0_11101]) ).
cnf(refute_0_11103,plain,
meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11099,refute_0_11102]) ).
cnf(refute_0_11104,plain,
( meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(top,skolemFOFtoCNF_X0)),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) ),[1],$fot(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11105,plain,
( meet(complement(one),composition(top,skolemFOFtoCNF_X0)) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11103,refute_0_11104]) ).
cnf(refute_0_11106,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,skolemFOFtoCNF_X0)),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_11087,refute_0_11105]) ).
cnf(refute_0_11107,plain,
meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))) )],[refute_0_11084,refute_0_11106]) ).
cnf(refute_0_11108,plain,
( meet(complement(one),composition(top,skolemFOFtoCNF_X0)) != meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11109,plain,
meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,skolemFOFtoCNF_X0)),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11107,refute_0_11108]) ).
cnf(refute_0_11110,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))
| meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11111,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))
| composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11109,refute_0_11110]) ).
cnf(refute_0_11112,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_11061,refute_0_11111]) ).
cnf(refute_0_11113,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11114,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11115,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_11113,refute_0_11114]) ).
cnf(refute_0_11116,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_5107,refute_0_11115]) ).
cnf(refute_0_11117,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11118,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_11116,refute_0_11117]) ).
cnf(refute_0_11119,plain,
join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11120,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11121,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11119,refute_0_11120]) ).
cnf(refute_0_11122,plain,
join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_11116,refute_0_11121]) ).
cnf(refute_0_11123,plain,
( composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) ),[0],$fot(join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11124,plain,
( composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11122,refute_0_11123]) ).
cnf(refute_0_11125,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11118,refute_0_11124]) ).
cnf(refute_0_11126,plain,
composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(composition(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11112,refute_0_11125]) ).
cnf(refute_0_11127,plain,
composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2554:[bind(X1,$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))),bind(X_275,$fot(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11128,plain,
complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),bind(X_350,$fot(complement(composition(complement(one),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11129,plain,
( complement(composition(complement(one),skolemFOFtoCNF_X0)) != meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(complement(one),skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(one),skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11130,plain,
meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = complement(composition(complement(one),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(complement(one),skolemFOFtoCNF_X0)),meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_10988,refute_0_11129]) ).
cnf(refute_0_11131,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))
| meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != complement(composition(complement(one),skolemFOFtoCNF_X0))
| complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(complement(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11132,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))
| complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(composition(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_11130,refute_0_11131]) ).
cnf(refute_0_11133,plain,
complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(meet(complement(composition(complement(one),skolemFOFtoCNF_X0)),join(one,complement(composition(top,skolemFOFtoCNF_X0))))))) )],[refute_0_11128,refute_0_11132]) ).
cnf(refute_0_11134,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11135,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11085,refute_0_11134]) ).
cnf(refute_0_11136,plain,
meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11137,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11138,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11136,refute_0_11137]) ).
cnf(refute_0_11139,plain,
meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11085,refute_0_11138]) ).
cnf(refute_0_11140,plain,
meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11141,plain,
( complement(complement(composition(complement(one),skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11142,plain,
( complement(complement(composition(complement(one),skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11140,refute_0_11141]) ).
cnf(refute_0_11143,plain,
meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11008,refute_0_11142]) ).
cnf(refute_0_11144,plain,
( meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11145,plain,
( meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11143,refute_0_11144]) ).
cnf(refute_0_11146,plain,
meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11139,refute_0_11145]) ).
cnf(refute_0_11147,plain,
meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))),bind(X_28,$fot(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11148,plain,
( meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) != meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))
| meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11149,plain,
( meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))) != meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))),meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))))) )],[refute_0_11147,refute_0_11148]) ).
cnf(refute_0_11150,plain,
meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(composition(complement(one),skolemFOFtoCNF_X0))),complement(join(one,complement(composition(top,skolemFOFtoCNF_X0))))),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11146,refute_0_11149]) ).
cnf(refute_0_11151,plain,
( meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))) != meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(top,skolemFOFtoCNF_X0)),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) ),[1],$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11152,plain,
( meet(complement(one),composition(top,skolemFOFtoCNF_X0)) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0)))),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11150,refute_0_11151]) ).
cnf(refute_0_11153,plain,
( complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))) != meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,skolemFOFtoCNF_X0)),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) )],[refute_0_11135,refute_0_11152]) ).
cnf(refute_0_11154,plain,
meet(complement(one),composition(top,skolemFOFtoCNF_X0)) = meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),meet(complement(join(one,complement(composition(top,skolemFOFtoCNF_X0)))),complement(complement(composition(complement(one),skolemFOFtoCNF_X0))))) )],[refute_0_11133,refute_0_11153]) ).
cnf(refute_0_11155,plain,
( meet(complement(one),composition(top,skolemFOFtoCNF_X0)) != meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(top,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11156,plain,
meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,skolemFOFtoCNF_X0)),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11154,refute_0_11155]) ).
cnf(refute_0_11157,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))
| meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != meet(complement(one),composition(top,skolemFOFtoCNF_X0))
| composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11158,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))
| composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11156,refute_0_11157]) ).
cnf(refute_0_11159,plain,
composition(complement(one),skolemFOFtoCNF_X0) = join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(one),skolemFOFtoCNF_X0),meet(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_11127,refute_0_11158]) ).
cnf(refute_0_11160,plain,
( composition(complement(one),skolemFOFtoCNF_X0) != join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = composition(complement(one),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(one),skolemFOFtoCNF_X0))),bind(Y,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11161,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = composition(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11159,refute_0_11160]) ).
cnf(refute_0_11162,plain,
converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0),
inference(subst,[],[refute_0_400:[bind(X_4,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11163,plain,
( converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(complement(one),skolemFOFtoCNF_X0)
| converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) != join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0)
| converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))),join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0)) ),[1,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11164,plain,
( converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) != join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0)
| converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11044,refute_0_11163]) ).
cnf(refute_0_11165,plain,
converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))),join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0)) )],[refute_0_11162,refute_0_11164]) ).
cnf(refute_0_11166,plain,
join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566) = join(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(converse(X_567),X_566)),
inference(subst,[],[refute_0_4507:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(X_21,$fot(X_566)),bind(X_22,$fot(X_567))]]) ).
cnf(refute_0_11167,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(one))) != composition(complement(one),skolemFOFtoCNF_X0)
| join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(converse(X_567),X_566))
| join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(X_567),X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(converse(X_567),X_566))) ),[1,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11168,plain,
( join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566) != join(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(converse(X_567),X_566))
| join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(X_567),X_566)) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(one))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11033,refute_0_11167]) ).
cnf(refute_0_11169,plain,
join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(X_567),X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),X_567)),X_566),join(converse(composition(skolemFOFtoCNF_X0,complement(one))),join(converse(X_567),X_566))) )],[refute_0_11166,refute_0_11168]) ).
cnf(refute_0_11170,plain,
join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),
inference(subst,[],[refute_0_11169:[bind(X_566,$fot(X0)),bind(X_567,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11171,plain,
( converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) != join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0)
| join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0) != join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))
| converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))))),bind(Y,$fot(join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0))),bind(Z,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))))]]) ).
cnf(refute_0_11172,plain,
( join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0) != join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))
| converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))),join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0)) )],[refute_0_11162,refute_0_11171]) ).
cnf(refute_0_11173,plain,
converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),
inference(resolve,[$cnf( $equal(join(converse(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),X0),join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))) )],[refute_0_11170,refute_0_11172]) ).
cnf(refute_0_11174,plain,
( converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) != join(composition(complement(one),skolemFOFtoCNF_X0),X0)
| converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) != join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))),join(composition(complement(one),skolemFOFtoCNF_X0),X0)) ),[0],$fot(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)))]]) ).
cnf(refute_0_11175,plain,
( converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))) != join(composition(complement(one),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))),join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))) )],[refute_0_11173,refute_0_11174]) ).
cnf(refute_0_11176,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(converse(join(join(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),converse(X0))),join(composition(complement(one),skolemFOFtoCNF_X0),X0)) )],[refute_0_11165,refute_0_11175]) ).
cnf(refute_0_11177,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(meet(one,skolemFOFtoCNF_X0))
| join(complement(one),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(meet(one,skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11178,plain,
( complement(meet(one,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| join(complement(one),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(skolemFOFtoCNF_X0)),complement(meet(one,skolemFOFtoCNF_X0))) )],[refute_0_2057,refute_0_11177]) ).
cnf(refute_0_11179,plain,
join(complement(one),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(meet(one,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_2066,refute_0_11178]) ).
cnf(refute_0_11180,plain,
composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11181,plain,
( composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11182,plain,
( join(complement(one),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_11180,refute_0_11181]) ).
cnf(refute_0_11183,plain,
composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(one),complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_11179,refute_0_11182]) ).
cnf(refute_0_11184,plain,
join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) = join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0),
introduced(tautology,[refl,[$fot(join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0))]]) ).
cnf(refute_0_11185,plain,
( composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) != join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0)
| join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0),join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0)) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11186,plain,
( composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0),join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0)) )],[refute_0_11184,refute_0_11185]) ).
cnf(refute_0_11187,plain,
join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_11183,refute_0_11186]) ).
cnf(refute_0_11188,plain,
join(composition(X_144,X_146),join(composition(X_145,X_146),X2)) = join(join(composition(X_144,X_146),composition(X_145,X_146)),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(composition(X_144,X_146))),bind(X1,$fot(composition(X_145,X_146)))]]) ).
cnf(refute_0_11189,plain,
( join(composition(X_144,X_146),composition(X_145,X_146)) != composition(join(X_144,X_145),X_146)
| join(composition(X_144,X_146),join(composition(X_145,X_146),X2)) != join(join(composition(X_144,X_146),composition(X_145,X_146)),X2)
| join(composition(X_144,X_146),join(composition(X_145,X_146),X2)) = join(composition(join(X_144,X_145),X_146),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_144,X_146),join(composition(X_145,X_146),X2)),join(join(composition(X_144,X_146),composition(X_145,X_146)),X2)) ),[1,0],$fot(composition(join(X_144,X_145),X_146))]]) ).
cnf(refute_0_11190,plain,
( join(composition(X_144,X_146),join(composition(X_145,X_146),X2)) != join(join(composition(X_144,X_146),composition(X_145,X_146)),X2)
| join(composition(X_144,X_146),join(composition(X_145,X_146),X2)) = join(composition(join(X_144,X_145),X_146),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_146),composition(X_145,X_146)),composition(join(X_144,X_145),X_146)) )],[refute_0_3299,refute_0_11189]) ).
cnf(refute_0_11191,plain,
join(composition(X_144,X_146),join(composition(X_145,X_146),X2)) = join(composition(join(X_144,X_145),X_146),X2),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_146),join(composition(X_145,X_146),X2)),join(join(composition(X_144,X_146),composition(X_145,X_146)),X2)) )],[refute_0_11188,refute_0_11190]) ).
cnf(refute_0_11192,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) = join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0),
inference(subst,[],[refute_0_11191:[bind(X2,$fot(X0)),bind(X_144,$fot(complement(one))),bind(X_145,$fot(complement(skolemFOFtoCNF_X0))),bind(X_146,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11193,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) != join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0)
| join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)))),bind(Y,$fot(join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0))),bind(Z,$fot(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)))]]) ).
cnf(refute_0_11194,plain,
( join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)),join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0)) )],[refute_0_11192,refute_0_11193]) ).
cnf(refute_0_11195,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(join(composition(join(complement(one),complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) )],[refute_0_11187,refute_0_11194]) ).
cnf(refute_0_11196,plain,
composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2023:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_270,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11197,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5278:[bind(X_300,$fot(complement(skolemFOFtoCNF_X0))),bind(X_301,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11198,plain,
top = join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(join(converse(X_22),complement(meet(X_350,converse(X_22)))))))),
inference(subst,[],[refute_0_1565:[bind(X_21,$fot(complement(meet(X_350,converse(X_22)))))]]) ).
cnf(refute_0_11199,plain,
top = join(converse(X_22),complement(meet(X_350,converse(X_22)))),
inference(subst,[],[refute_0_8377:[bind(X1,$fot(converse(X_22))),bind(X_35,$fot(X_350))]]) ).
cnf(refute_0_11200,plain,
( top != join(converse(X_22),complement(meet(X_350,converse(X_22))))
| join(converse(X_22),complement(meet(X_350,converse(X_22)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_22),complement(meet(X_350,converse(X_22))))))]]) ).
cnf(refute_0_11201,plain,
join(converse(X_22),complement(meet(X_350,converse(X_22)))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_22),complement(meet(X_350,converse(X_22))))) )],[refute_0_11199,refute_0_11200]) ).
cnf(refute_0_11202,plain,
( join(converse(X_22),complement(meet(X_350,converse(X_22)))) != top
| top != join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(join(converse(X_22),complement(meet(X_350,converse(X_22))))))))
| top = join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(join(converse(X_22),complement(meet(X_350,converse(X_22))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_11203,plain,
( top != join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(join(converse(X_22),complement(meet(X_350,converse(X_22))))))))
| top = join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_22),complement(meet(X_350,converse(X_22)))),top) )],[refute_0_11201,refute_0_11202]) ).
cnf(refute_0_11204,plain,
top = join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(join(converse(X_22),complement(meet(X_350,converse(X_22))))))))) )],[refute_0_11198,refute_0_11203]) ).
cnf(refute_0_11205,plain,
converse(complement(meet(X_350,converse(X_22)))) = complement(converse(meet(X_350,converse(X_22)))),
inference(subst,[],[refute_0_1460:[bind(X_125,$fot(meet(X_350,converse(X_22))))]]) ).
cnf(refute_0_11206,plain,
meet(top,meet(X_350,converse(X_22))) = meet(X_350,converse(X_22)),
inference(subst,[],[refute_0_253:[bind(X_97,$fot(meet(X_350,converse(X_22))))]]) ).
cnf(refute_0_11207,plain,
complement(meet(top,meet(X_350,converse(X_22)))) = complement(meet(top,meet(X_350,converse(X_22)))),
introduced(tautology,[refl,[$fot(complement(meet(top,meet(X_350,converse(X_22)))))]]) ).
cnf(refute_0_11208,plain,
( complement(meet(top,meet(X_350,converse(X_22)))) != complement(meet(top,meet(X_350,converse(X_22))))
| meet(top,meet(X_350,converse(X_22))) != meet(X_350,converse(X_22))
| complement(meet(top,meet(X_350,converse(X_22)))) = complement(meet(X_350,converse(X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,meet(X_350,converse(X_22)))),complement(meet(top,meet(X_350,converse(X_22))))) ),[1,0],$fot(meet(X_350,converse(X_22)))]]) ).
cnf(refute_0_11209,plain,
( meet(top,meet(X_350,converse(X_22))) != meet(X_350,converse(X_22))
| complement(meet(top,meet(X_350,converse(X_22)))) = complement(meet(X_350,converse(X_22))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,meet(X_350,converse(X_22)))),complement(meet(top,meet(X_350,converse(X_22))))) )],[refute_0_11207,refute_0_11208]) ).
cnf(refute_0_11210,plain,
complement(meet(top,meet(X_350,converse(X_22)))) = complement(meet(X_350,converse(X_22))),
inference(resolve,[$cnf( $equal(meet(top,meet(X_350,converse(X_22))),meet(X_350,converse(X_22))) )],[refute_0_11206,refute_0_11209]) ).
cnf(refute_0_11211,plain,
join(complement(top),complement(meet(X_350,converse(X_22)))) = complement(meet(top,meet(X_350,converse(X_22)))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(top)),bind(X1,$fot(meet(X_350,converse(X_22))))]]) ).
cnf(refute_0_11212,plain,
( complement(meet(top,meet(X_350,converse(X_22)))) != complement(meet(X_350,converse(X_22)))
| join(complement(top),complement(meet(X_350,converse(X_22)))) != complement(meet(top,meet(X_350,converse(X_22))))
| join(complement(top),complement(meet(X_350,converse(X_22)))) = complement(meet(X_350,converse(X_22))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),complement(meet(X_350,converse(X_22)))))),bind(Y,$fot(complement(meet(top,meet(X_350,converse(X_22)))))),bind(Z,$fot(complement(meet(X_350,converse(X_22)))))]]) ).
cnf(refute_0_11213,plain,
( complement(meet(top,meet(X_350,converse(X_22)))) != complement(meet(X_350,converse(X_22)))
| join(complement(top),complement(meet(X_350,converse(X_22)))) = complement(meet(X_350,converse(X_22))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(meet(X_350,converse(X_22)))),complement(meet(top,meet(X_350,converse(X_22))))) )],[refute_0_11211,refute_0_11212]) ).
cnf(refute_0_11214,plain,
join(complement(top),complement(meet(X_350,converse(X_22)))) = complement(meet(X_350,converse(X_22))),
inference(resolve,[$cnf( $equal(complement(meet(top,meet(X_350,converse(X_22)))),complement(meet(X_350,converse(X_22)))) )],[refute_0_11210,refute_0_11213]) ).
cnf(refute_0_11215,plain,
converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = converse(join(complement(top),complement(meet(X_350,converse(X_22))))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(meet(X_350,converse(X_22))))))]]) ).
cnf(refute_0_11216,plain,
( converse(join(complement(top),complement(meet(X_350,converse(X_22))))) != converse(join(complement(top),complement(meet(X_350,converse(X_22)))))
| join(complement(top),complement(meet(X_350,converse(X_22)))) != complement(meet(X_350,converse(X_22)))
| converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = converse(complement(meet(X_350,converse(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(meet(X_350,converse(X_22))))),converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) ),[1,0],$fot(complement(meet(X_350,converse(X_22))))]]) ).
cnf(refute_0_11217,plain,
( join(complement(top),complement(meet(X_350,converse(X_22)))) != complement(meet(X_350,converse(X_22)))
| converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = converse(complement(meet(X_350,converse(X_22)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(meet(X_350,converse(X_22))))),converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) )],[refute_0_11215,refute_0_11216]) ).
cnf(refute_0_11218,plain,
converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = converse(complement(meet(X_350,converse(X_22)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(meet(X_350,converse(X_22)))),complement(meet(X_350,converse(X_22)))) )],[refute_0_11214,refute_0_11217]) ).
cnf(refute_0_11219,plain,
( converse(complement(meet(X_350,converse(X_22)))) != complement(converse(meet(X_350,converse(X_22))))
| converse(join(complement(top),complement(meet(X_350,converse(X_22))))) != converse(complement(meet(X_350,converse(X_22))))
| converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = complement(converse(meet(X_350,converse(X_22)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(top),complement(meet(X_350,converse(X_22))))))),bind(Y,$fot(converse(complement(meet(X_350,converse(X_22)))))),bind(Z,$fot(complement(converse(meet(X_350,converse(X_22))))))]]) ).
cnf(refute_0_11220,plain,
( converse(complement(meet(X_350,converse(X_22)))) != complement(converse(meet(X_350,converse(X_22))))
| converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = complement(converse(meet(X_350,converse(X_22)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(meet(X_350,converse(X_22))))),converse(complement(meet(X_350,converse(X_22))))) )],[refute_0_11218,refute_0_11219]) ).
cnf(refute_0_11221,plain,
converse(join(complement(top),complement(meet(X_350,converse(X_22))))) = complement(converse(meet(X_350,converse(X_22)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(X_350,converse(X_22)))),complement(converse(meet(X_350,converse(X_22))))) )],[refute_0_11205,refute_0_11220]) ).
cnf(refute_0_11222,plain,
join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) = join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))),
introduced(tautology,[refl,[$fot(join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))))]]) ).
cnf(refute_0_11223,plain,
( converse(join(complement(top),complement(meet(X_350,converse(X_22))))) != complement(converse(meet(X_350,converse(X_22))))
| join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) != join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22))))))
| join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) = join(X_22,complement(converse(meet(X_350,converse(X_22))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))),join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22))))))) ),[1,1],$fot(complement(converse(meet(X_350,converse(X_22)))))]]) ).
cnf(refute_0_11224,plain,
( converse(join(complement(top),complement(meet(X_350,converse(X_22))))) != complement(converse(meet(X_350,converse(X_22))))
| join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) = join(X_22,complement(converse(meet(X_350,converse(X_22))))) ),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))),join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22))))))) )],[refute_0_11222,refute_0_11223]) ).
cnf(refute_0_11225,plain,
join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) = join(X_22,complement(converse(meet(X_350,converse(X_22))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(meet(X_350,converse(X_22))))),complement(converse(meet(X_350,converse(X_22))))) )],[refute_0_11221,refute_0_11224]) ).
cnf(refute_0_11226,plain,
join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) = join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))),
inference(subst,[],[refute_0_4883:[bind(X_284,$fot(complement(top))),bind(X_285,$fot(complement(meet(X_350,converse(X_22))))),bind(X_286,$fot(X_22))]]) ).
cnf(refute_0_11227,plain,
( join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) != join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22))))))
| join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) != join(X_22,complement(converse(meet(X_350,converse(X_22)))))
| join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) = join(X_22,complement(converse(meet(X_350,converse(X_22))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))))),bind(Y,$fot(join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))))),bind(Z,$fot(join(X_22,complement(converse(meet(X_350,converse(X_22)))))))]]) ).
cnf(refute_0_11228,plain,
( join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))) != join(X_22,complement(converse(meet(X_350,converse(X_22)))))
| join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) = join(X_22,complement(converse(meet(X_350,converse(X_22))))) ),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))),join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22))))))) )],[refute_0_11226,refute_0_11227]) ).
cnf(refute_0_11229,plain,
join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) = join(X_22,complement(converse(meet(X_350,converse(X_22))))),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(complement(top),complement(meet(X_350,converse(X_22)))))),join(X_22,complement(converse(meet(X_350,converse(X_22)))))) )],[refute_0_11225,refute_0_11228]) ).
cnf(refute_0_11230,plain,
( join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))) != join(X_22,complement(converse(meet(X_350,converse(X_22)))))
| top != join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top))))
| top = join(X_22,complement(converse(meet(X_350,converse(X_22))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top))))) ),[1],$fot(join(X_22,complement(converse(meet(X_350,converse(X_22))))))]]) ).
cnf(refute_0_11231,plain,
( top != join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top))))
| top = join(X_22,complement(converse(meet(X_350,converse(X_22))))) ),
inference(resolve,[$cnf( $equal(join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top)))),join(X_22,complement(converse(meet(X_350,converse(X_22)))))) )],[refute_0_11229,refute_0_11230]) ).
cnf(refute_0_11232,plain,
top = join(X_22,complement(converse(meet(X_350,converse(X_22))))),
inference(resolve,[$cnf( $equal(top,join(X_22,converse(join(complement(meet(X_350,converse(X_22))),complement(top))))) )],[refute_0_11204,refute_0_11231]) ).
cnf(refute_0_11233,plain,
top = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_11232:[bind(X_22,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X_350,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_11234,plain,
converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_9311:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X_223,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11235,plain,
( converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1,0],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11236,plain,
( converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10048,refute_0_11235]) ).
cnf(refute_0_11237,plain,
converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11234,refute_0_11236]) ).
cnf(refute_0_11238,plain,
meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_28,$fot(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11239,plain,
meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11240,plain,
( converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_11241,plain,
( converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11239,refute_0_11240]) ).
cnf(refute_0_11242,plain,
meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10845,refute_0_11241]) ).
cnf(refute_0_11243,plain,
( meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11244,plain,
( meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) != meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11242,refute_0_11243]) ).
cnf(refute_0_11245,plain,
meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)),meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11238,refute_0_11244]) ).
cnf(refute_0_11246,plain,
( converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),[0],$fot(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11247,plain,
( converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11245,refute_0_11246]) ).
cnf(refute_0_11248,plain,
converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11237,refute_0_11247]) ).
cnf(refute_0_11249,plain,
( converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11250,plain,
meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11248,refute_0_11249]) ).
cnf(refute_0_11251,plain,
( meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| top != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| top = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) ),[1,1,0,0],$fot(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11252,plain,
( top != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))
| top = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11250,refute_0_11251]) ).
cnf(refute_0_11253,plain,
top = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(meet(composition(skolemFOFtoCNF_X0,top),converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))) )],[refute_0_11233,refute_0_11252]) ).
cnf(refute_0_11254,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(skolemFOFtoCNF_X0))),bind(X_95,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11255,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5278:[bind(X_300,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X_301,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11256,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11257,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10048,refute_0_11256]) ).
cnf(refute_0_11258,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11255,refute_0_11257]) ).
cnf(refute_0_11259,plain,
join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_10946:[bind(X_6,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(X_7,$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11260,plain,
complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_350,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11261,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1234:[bind(X1,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X_96,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11262,plain,
join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) = join(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11263,plain,
( join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != one
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) != join(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X2)
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)),join(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_11264,plain,
( join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) != join(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X2)
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),one) )],[refute_0_10415,refute_0_11263]) ).
cnf(refute_0_11265,plain,
join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X2)),join(join(one,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),X2)) )],[refute_0_11262,refute_0_11264]) ).
cnf(refute_0_11266,plain,
join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_11265:[bind(X2,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11267,plain,
( join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11268,plain,
( join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_9364,refute_0_11267]) ).
cnf(refute_0_11269,plain,
join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11266,refute_0_11268]) ).
cnf(refute_0_11270,plain,
join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10458:[bind(X_56,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11271,plain,
( join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11272,plain,
( join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11270,refute_0_11271]) ).
cnf(refute_0_11273,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11269,refute_0_11272]) ).
cnf(refute_0_11274,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11275,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11273,refute_0_11274]) ).
cnf(refute_0_11276,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(complement(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11261,refute_0_11275]) ).
cnf(refute_0_11277,plain,
join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X1,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11278,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_95,$fot(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11279,plain,
( join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11280,plain,
( join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11278,refute_0_11279]) ).
cnf(refute_0_11281,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11277,refute_0_11280]) ).
cnf(refute_0_11282,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2568:[bind(X_28,$fot(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(X_298,$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11283,plain,
( join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11284,plain,
( join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11282,refute_0_11283]) ).
cnf(refute_0_11285,plain,
join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11281,refute_0_11284]) ).
cnf(refute_0_11286,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11287,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11285,refute_0_11286]) ).
cnf(refute_0_11288,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11276,refute_0_11287]) ).
cnf(refute_0_11289,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11290,plain,
complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11288,refute_0_11289]) ).
cnf(refute_0_11291,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11292,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11290,refute_0_11291]) ).
cnf(refute_0_11293,plain,
complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_11260,refute_0_11292]) ).
cnf(refute_0_11294,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11295,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11001,refute_0_11294]) ).
cnf(refute_0_11296,plain,
meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11297,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11298,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11296,refute_0_11297]) ).
cnf(refute_0_11299,plain,
meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11001,refute_0_11298]) ).
cnf(refute_0_11300,plain,
meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_28,$fot(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11301,plain,
( meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11302,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11300,refute_0_11301]) ).
cnf(refute_0_11303,plain,
meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11299,refute_0_11302]) ).
cnf(refute_0_11304,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11305,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11303,refute_0_11304]) ).
cnf(refute_0_11306,plain,
( complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11295,refute_0_11305]) ).
cnf(refute_0_11307,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11293,refute_0_11306]) ).
cnf(refute_0_11308,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11309,plain,
meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11307,refute_0_11308]) ).
cnf(refute_0_11310,plain,
meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(X_28,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11311,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11312,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11310,refute_0_11311]) ).
cnf(refute_0_11313,plain,
meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11309,refute_0_11312]) ).
cnf(refute_0_11314,plain,
join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11315,plain,
( join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11316,plain,
( meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11314,refute_0_11315]) ).
cnf(refute_0_11317,plain,
join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11313,refute_0_11316]) ).
cnf(refute_0_11318,plain,
( join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11319,plain,
( join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11317,refute_0_11318]) ).
cnf(refute_0_11320,plain,
join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11259,refute_0_11319]) ).
cnf(refute_0_11321,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11322,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11320,refute_0_11321]) ).
cnf(refute_0_11323,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11258,refute_0_11322]) ).
cnf(refute_0_11324,plain,
converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11325,plain,
( converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11326,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11324,refute_0_11325]) ).
cnf(refute_0_11327,plain,
converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_9968,refute_0_11326]) ).
cnf(refute_0_11328,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11329,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_11327,refute_0_11328]) ).
cnf(refute_0_11330,plain,
converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_6252,refute_0_11329]) ).
cnf(refute_0_11331,plain,
( converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11332,plain,
( converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6962,refute_0_11331]) ).
cnf(refute_0_11333,plain,
join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_11330,refute_0_11332]) ).
cnf(refute_0_11334,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11335,plain,
( join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6963,refute_0_11334]) ).
cnf(refute_0_11336,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(composition(top,skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_11333,refute_0_11335]) ).
cnf(refute_0_11337,plain,
converse(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11338,plain,
( converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,top)
| converse(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[0,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_11339,plain,
( converse(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_10845,refute_0_11338]) ).
cnf(refute_0_11340,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11337,refute_0_11339]) ).
cnf(refute_0_11341,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,skolemFOFtoCNF_X0)
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11342,plain,
( converse(composition(skolemFOFtoCNF_X0,top)) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_7131,refute_0_11341]) ).
cnf(refute_0_11343,plain,
composition(top,skolemFOFtoCNF_X0) = composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11340,refute_0_11342]) ).
cnf(refute_0_11344,plain,
( composition(top,skolemFOFtoCNF_X0) != composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,skolemFOFtoCNF_X0))),bind(Y,$fot(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11345,plain,
composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(top,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(top,skolemFOFtoCNF_X0),composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11343,refute_0_11344]) ).
cnf(refute_0_11346,plain,
complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11347,plain,
( complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(top,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11348,plain,
( composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(top,skolemFOFtoCNF_X0)
| complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11346,refute_0_11347]) ).
cnf(refute_0_11349,plain,
complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = complement(composition(top,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(top,skolemFOFtoCNF_X0)) )],[refute_0_11345,refute_0_11348]) ).
cnf(refute_0_11350,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11351,plain,
( complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11352,plain,
( complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != complement(composition(top,skolemFOFtoCNF_X0))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11350,refute_0_11351]) ).
cnf(refute_0_11353,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) )],[refute_0_11349,refute_0_11352]) ).
cnf(refute_0_11354,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11355,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11353,refute_0_11354]) ).
cnf(refute_0_11356,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_11336,refute_0_11355]) ).
cnf(refute_0_11357,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11358,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_11356,refute_0_11357]) ).
cnf(refute_0_11359,plain,
complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),complement(composition(top,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11323,refute_0_11358]) ).
cnf(refute_0_11360,plain,
converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11361,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11362,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))
| converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11363,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) )],[refute_0_11361,refute_0_11362]) ).
cnf(refute_0_11364,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_11360,refute_0_11363]) ).
cnf(refute_0_11365,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11366,plain,
( complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0)
| complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11364,refute_0_11365]) ).
cnf(refute_0_11367,plain,
complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_11359,refute_0_11366]) ).
cnf(refute_0_11368,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11369,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11370,plain,
( complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_11368,refute_0_11369]) ).
cnf(refute_0_11371,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_11367,refute_0_11370]) ).
cnf(refute_0_11372,plain,
( join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11373,plain,
( join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_11371,refute_0_11372]) ).
cnf(refute_0_11374,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11254,refute_0_11373]) ).
cnf(refute_0_11375,plain,
( join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| top != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| top = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11376,plain,
( top != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))
| top = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11374,refute_0_11375]) ).
cnf(refute_0_11377,plain,
top = join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(top,join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(converse(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))) )],[refute_0_11253,refute_0_11376]) ).
cnf(refute_0_11378,plain,
( top != join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11379,plain,
join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11377,refute_0_11378]) ).
cnf(refute_0_11380,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != top
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_11381,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) )],[refute_0_11379,refute_0_11380]) ).
cnf(refute_0_11382,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_11197,refute_0_11381]) ).
cnf(refute_0_11383,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11384,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_11383]) ).
cnf(refute_0_11385,plain,
join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_224:[bind(X_97,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11386,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11387,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11388,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11386,refute_0_11387]) ).
cnf(refute_0_11389,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_11388]) ).
cnf(refute_0_11390,plain,
meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(complement(complement(skolemFOFtoCNF_X0)))),bind(X_28,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11391,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11392,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11390,refute_0_11391]) ).
cnf(refute_0_11393,plain,
meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11389,refute_0_11392]) ).
cnf(refute_0_11394,plain,
join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11395,plain,
( join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11396,plain,
( meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_11394,refute_0_11395]) ).
cnf(refute_0_11397,plain,
join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11393,refute_0_11396]) ).
cnf(refute_0_11398,plain,
join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11399,plain,
( complement(top) != zero
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_11400,plain,
( complement(top) != zero
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_11398,refute_0_11399]) ).
cnf(refute_0_11401,plain,
join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_11400]) ).
cnf(refute_0_11402,plain,
( join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11403,plain,
( join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_11401,refute_0_11402]) ).
cnf(refute_0_11404,plain,
join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11397,refute_0_11403]) ).
cnf(refute_0_11405,plain,
( join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11406,plain,
( join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11404,refute_0_11405]) ).
cnf(refute_0_11407,plain,
join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11385,refute_0_11406]) ).
cnf(refute_0_11408,plain,
( join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 != join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11409,plain,
( skolemFOFtoCNF_X0 != join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11407,refute_0_11408]) ).
cnf(refute_0_11410,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_11384,refute_0_11409]) ).
cnf(refute_0_11411,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),complement(complement(skolemFOFtoCNF_X0))))) )],[refute_0_11382,refute_0_11410]) ).
cnf(refute_0_11412,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11413,plain,
meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11411,refute_0_11412]) ).
cnf(refute_0_11414,plain,
( composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11415,plain,
( composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_11413,refute_0_11414]) ).
cnf(refute_0_11416,plain,
composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))) )],[refute_0_11196,refute_0_11415]) ).
cnf(refute_0_11417,plain,
composition(skolemFOFtoCNF_X0,one) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_64:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11418,plain,
composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11419,plain,
( composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))
| join(one,skolemFOFtoCNF_X0) != one
| composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_11420,plain,
( join(one,skolemFOFtoCNF_X0) != one
| composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))) )],[refute_0_11418,refute_0_11419]) ).
cnf(refute_0_11421,plain,
composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_11420]) ).
cnf(refute_0_11422,plain,
( composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,one)
| composition(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,one))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11423,plain,
( composition(skolemFOFtoCNF_X0,one) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,one)) )],[refute_0_11421,refute_0_11422]) ).
cnf(refute_0_11424,plain,
composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,one),skolemFOFtoCNF_X0) )],[refute_0_11417,refute_0_11423]) ).
cnf(refute_0_11425,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(skolemFOFtoCNF_X0)),bind(X_426,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11426,plain,
composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_715:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11427,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1856:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_45,$fot(skolemFOFtoCNF_X0)),bind(X_46,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11428,plain,
converse(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11429,plain,
( converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0,0],$fot(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11430,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9987,refute_0_11429]) ).
cnf(refute_0_11431,plain,
converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11428,refute_0_11430]) ).
cnf(refute_0_11432,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11433,plain,
( converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_9385,refute_0_11432]) ).
cnf(refute_0_11434,plain,
composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11431,refute_0_11433]) ).
cnf(refute_0_11435,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11436,plain,
composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11434,refute_0_11435]) ).
cnf(refute_0_11437,plain,
( composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(complement(skolemFOFtoCNF_X0))) ),[0,1,1,0],$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11438,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_11436,refute_0_11437]) ).
cnf(refute_0_11439,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_11427,refute_0_11438]) ).
cnf(refute_0_11440,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2437:[bind(X_425,$fot(skolemFOFtoCNF_X0)),bind(X_426,$fot(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11441,plain,
composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11442,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11443,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11441,refute_0_11442]) ).
cnf(refute_0_11444,plain,
composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_11443]) ).
cnf(refute_0_11445,plain,
composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_10020:[bind(X_12,$fot(skolemFOFtoCNF_X0)),bind(X_14,$fot(complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11446,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11447,plain,
( composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11445,refute_0_11446]) ).
cnf(refute_0_11448,plain,
composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11444,refute_0_11447]) ).
cnf(refute_0_11449,plain,
join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11450,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11451,plain,
( composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11449,refute_0_11450]) ).
cnf(refute_0_11452,plain,
join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11448,refute_0_11451]) ).
cnf(refute_0_11453,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11454,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11455,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11453,refute_0_11454]) ).
cnf(refute_0_11456,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_11455]) ).
cnf(refute_0_11457,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11458,plain,
( join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11456,refute_0_11457]) ).
cnf(refute_0_11459,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11452,refute_0_11458]) ).
cnf(refute_0_11460,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11461,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11459,refute_0_11460]) ).
cnf(refute_0_11462,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11440,refute_0_11461]) ).
cnf(refute_0_11463,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11464,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11462,refute_0_11463]) ).
cnf(refute_0_11465,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11466,plain,
( composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != complement(complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_2070,refute_0_11465]) ).
cnf(refute_0_11467,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_11464,refute_0_11466]) ).
cnf(refute_0_11468,plain,
composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_11439,refute_0_11467]) ).
cnf(refute_0_11469,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11470,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) )],[refute_0_11468,refute_0_11469]) ).
cnf(refute_0_11471,plain,
composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_11426,refute_0_11470]) ).
cnf(refute_0_11472,plain,
composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_715:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11473,plain,
( composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11474,plain,
( composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) )],[refute_0_11468,refute_0_11473]) ).
cnf(refute_0_11475,plain,
composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(skolemFOFtoCNF_X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_11472,refute_0_11474]) ).
cnf(refute_0_11476,plain,
( composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_11477,plain,
join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X1),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,composition(X1,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_11475,refute_0_11476]) ).
cnf(refute_0_11478,plain,
join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_11477:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_11479,plain,
join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_4161:[bind(X2,$fot(skolemFOFtoCNF_X0)),bind(X_95,$fot(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11480,plain,
( join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_11481,plain,
( join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_11479,refute_0_11480]) ).
cnf(refute_0_11482,plain,
join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11478,refute_0_11481]) ).
cnf(refute_0_11483,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)
| join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11484,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11482,refute_0_11483]) ).
cnf(refute_0_11485,plain,
composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(composition(X0,join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0)) )],[refute_0_11471,refute_0_11484]) ).
cnf(refute_0_11486,plain,
composition(join(X0,skolemFOFtoCNF_X0),one) = join(X0,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_64:[bind(X0,$fot(join(X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11487,plain,
join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11488,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11489,plain,
( composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11487,refute_0_11488]) ).
cnf(refute_0_11490,plain,
join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = join(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_10863,refute_0_11489]) ).
cnf(refute_0_11491,plain,
( join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != join(one,skolemFOFtoCNF_X0)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,skolemFOFtoCNF_X0))),bind(Z,$fot(one))]]) ).
cnf(refute_0_11492,plain,
( join(one,skolemFOFtoCNF_X0) != one
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),join(one,skolemFOFtoCNF_X0)) )],[refute_0_11490,refute_0_11491]) ).
cnf(refute_0_11493,plain,
join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_11492]) ).
cnf(refute_0_11494,plain,
composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11495,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != one
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(X0,skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_11496,plain,
( join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != one
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(X0,skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11494,refute_0_11495]) ).
cnf(refute_0_11497,plain,
composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(X0,skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),one) )],[refute_0_11493,refute_0_11496]) ).
cnf(refute_0_11498,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(X0,skolemFOFtoCNF_X0),one)
| composition(join(X0,skolemFOFtoCNF_X0),one) != join(X0,skolemFOFtoCNF_X0)
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X0,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(X0,skolemFOFtoCNF_X0),one))),bind(Z,$fot(join(X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11499,plain,
( composition(join(X0,skolemFOFtoCNF_X0),one) != join(X0,skolemFOFtoCNF_X0)
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(X0,skolemFOFtoCNF_X0),one)) )],[refute_0_11497,refute_0_11498]) ).
cnf(refute_0_11500,plain,
composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),one),join(X0,skolemFOFtoCNF_X0)) )],[refute_0_11486,refute_0_11499]) ).
cnf(refute_0_11501,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(X0,skolemFOFtoCNF_X0)
| join(X0,skolemFOFtoCNF_X0) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11502,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(X0,skolemFOFtoCNF_X0) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(X0,skolemFOFtoCNF_X0)) )],[refute_0_11500,refute_0_11501]) ).
cnf(refute_0_11503,plain,
composition(join(skolemFOFtoCNF_X0,X0),one) = join(skolemFOFtoCNF_X0,X0),
inference(subst,[],[refute_0_64:[bind(X0,$fot(join(skolemFOFtoCNF_X0,X0)))]]) ).
cnf(refute_0_11504,plain,
composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_11505,plain,
( composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != one
| composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_11506,plain,
( join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))) != one
| composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),one) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11504,refute_0_11505]) ).
cnf(refute_0_11507,plain,
composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = composition(join(skolemFOFtoCNF_X0,X0),one),
inference(resolve,[$cnf( $equal(join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))),one) )],[refute_0_11493,refute_0_11506]) ).
cnf(refute_0_11508,plain,
( composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(skolemFOFtoCNF_X0,X0),one)
| composition(join(skolemFOFtoCNF_X0,X0),one) != join(skolemFOFtoCNF_X0,X0)
| composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,X0),one))),bind(Z,$fot(join(skolemFOFtoCNF_X0,X0)))]]) ).
cnf(refute_0_11509,plain,
( composition(join(skolemFOFtoCNF_X0,X0),one) != join(skolemFOFtoCNF_X0,X0)
| composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(skolemFOFtoCNF_X0,X0),one)) )],[refute_0_11507,refute_0_11508]) ).
cnf(refute_0_11510,plain,
composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X0),one),join(skolemFOFtoCNF_X0,X0)) )],[refute_0_11503,refute_0_11509]) ).
cnf(refute_0_11511,plain,
( composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,X0)
| join(X0,skolemFOFtoCNF_X0) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,skolemFOFtoCNF_X0),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(join(skolemFOFtoCNF_X0,X0))]]) ).
cnf(refute_0_11512,plain,
( join(X0,skolemFOFtoCNF_X0) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,X0)) )],[refute_0_11510,refute_0_11511]) ).
cnf(refute_0_11513,plain,
( composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))) != composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))
| join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,skolemFOFtoCNF_X0),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11502,refute_0_11512]) ).
cnf(refute_0_11514,plain,
join(X0,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))))),composition(join(skolemFOFtoCNF_X0,X0),join(one,composition(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_11485,refute_0_11513]) ).
cnf(refute_0_11515,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_11514:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11516,plain,
( join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11517,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11515,refute_0_11516]) ).
cnf(refute_0_11518,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))) )],[refute_0_11425,refute_0_11517]) ).
cnf(refute_0_11519,plain,
( composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11520,plain,
( composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0))) )],[refute_0_11518,refute_0_11519]) ).
cnf(refute_0_11521,plain,
join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_11424,refute_0_11520]) ).
cnf(refute_0_11522,plain,
( composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),[0],$fot(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11523,plain,
( composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_11521,refute_0_11522]) ).
cnf(refute_0_11524,plain,
composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),join(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_11416,refute_0_11523]) ).
cnf(refute_0_11525,plain,
composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11526,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11527,plain,
( composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_11525,refute_0_11526]) ).
cnf(refute_0_11528,plain,
composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_11524,refute_0_11527]) ).
cnf(refute_0_11529,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11530,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_11528,refute_0_11529]) ).
cnf(refute_0_11531,plain,
converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_10030,refute_0_11530]) ).
cnf(refute_0_11532,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) = join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0),
introduced(tautology,[refl,[$fot(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))]]) ).
cnf(refute_0_11533,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) != join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11534,plain,
( converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) )],[refute_0_11532,refute_0_11533]) ).
cnf(refute_0_11535,plain,
join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) )],[refute_0_11531,refute_0_11534]) ).
cnf(refute_0_11536,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),
introduced(tautology,[refl,[$fot(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)))]]) ).
cnf(refute_0_11537,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) != join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))
| join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))) ),[1,1],$fot(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0))]]) ).
cnf(refute_0_11538,plain,
( join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0))) )],[refute_0_11536,refute_0_11537]) ).
cnf(refute_0_11539,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) )],[refute_0_11535,refute_0_11538]) ).
cnf(refute_0_11540,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) != join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0))
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)))),bind(Y,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)))),bind(Z,$fot(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)))]]) ).
cnf(refute_0_11541,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0))) )],[refute_0_11539,refute_0_11540]) ).
cnf(refute_0_11542,plain,
join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) = join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) )],[refute_0_11195,refute_0_11541]) ).
cnf(refute_0_11543,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) != join(composition(complement(one),skolemFOFtoCNF_X0),X0)
| join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)
| join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) = join(composition(complement(one),skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),join(composition(complement(one),skolemFOFtoCNF_X0),X0)) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0))]]) ).
cnf(refute_0_11544,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)) != join(composition(complement(one),skolemFOFtoCNF_X0),X0)
| join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) = join(composition(complement(one),skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0)) )],[refute_0_11542,refute_0_11543]) ).
cnf(refute_0_11545,plain,
join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),X0) = join(composition(complement(one),skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),join(converse(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),X0)),join(composition(complement(one),skolemFOFtoCNF_X0),X0)) )],[refute_0_11176,refute_0_11544]) ).
cnf(refute_0_11546,plain,
join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_11545:[bind(X0,$fot(meet(complement(one),composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11547,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = composition(complement(one),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11548,plain,
( join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = composition(complement(one),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11546,refute_0_11547]) ).
cnf(refute_0_11549,plain,
join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) = composition(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(composition(complement(one),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11161,refute_0_11548]) ).
cnf(refute_0_11550,plain,
( composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))) != composition(complement(one),skolemFOFtoCNF_X0)
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(complement(one),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(complement(one),skolemFOFtoCNF_X0)) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11551,plain,
( composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(complement(one),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0))),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11549,refute_0_11550]) ).
cnf(refute_0_11552,plain,
composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = composition(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),meet(complement(one),composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11126,refute_0_11551]) ).
cnf(refute_0_11553,plain,
converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11554,plain,
( composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(complement(one),skolemFOFtoCNF_X0)
| converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))
| converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(one),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) ),[1,0],$fot(composition(complement(one),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11555,plain,
( composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != composition(complement(one),skolemFOFtoCNF_X0)
| converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(one),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) )],[refute_0_11553,refute_0_11554]) ).
cnf(refute_0_11556,plain,
converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = converse(composition(complement(one),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),composition(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11552,refute_0_11555]) ).
cnf(refute_0_11557,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != converse(composition(complement(one),skolemFOFtoCNF_X0))
| converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(composition(complement(one),skolemFOFtoCNF_X0)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11558,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),converse(composition(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_11556,refute_0_11557]) ).
cnf(refute_0_11559,plain,
converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11051,refute_0_11558]) ).
cnf(refute_0_11560,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11561,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11562,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)))) )],[refute_0_11560,refute_0_11561]) ).
cnf(refute_0_11563,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11559,refute_0_11562]) ).
cnf(refute_0_11564,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one)))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11565,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11563,refute_0_11564]) ).
cnf(refute_0_11566,plain,
join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11060,refute_0_11565]) ).
cnf(refute_0_11567,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(one)) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11568,plain,
( join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(one)) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11566,refute_0_11567]) ).
cnf(refute_0_11569,plain,
composition(skolemFOFtoCNF_X0,complement(one)) = composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),converse(composition(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_10973,refute_0_11568]) ).
cnf(refute_0_11570,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11571,plain,
composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_11569,refute_0_11570]) ).
cnf(refute_0_11572,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11573,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11571,refute_0_11572]) ).
cnf(refute_0_11574,plain,
meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11575,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11576,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11574,refute_0_11575]) ).
cnf(refute_0_11577,plain,
meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11571,refute_0_11576]) ).
cnf(refute_0_11578,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,complement(one)),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))) ),[0],$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11579,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11577,refute_0_11578]) ).
cnf(refute_0_11580,plain,
( composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11573,refute_0_11579]) ).
cnf(refute_0_11581,plain,
composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9957,refute_0_11580]) ).
cnf(refute_0_11582,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_11583,plain,
meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11581,refute_0_11582]) ).
cnf(refute_0_11584,plain,
meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11585,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0)))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11586,plain,
( converse(composition(complement(one),skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0)))) )],[refute_0_11584,refute_0_11585]) ).
cnf(refute_0_11587,plain,
meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11051,refute_0_11586]) ).
cnf(refute_0_11588,plain,
( meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11589,plain,
( meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11587,refute_0_11588]) ).
cnf(refute_0_11590,plain,
meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(skolemFOFtoCNF_X0,complement(one))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11583,refute_0_11589]) ).
cnf(refute_0_11591,plain,
( meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))) ),[0],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11592,plain,
( meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11590,refute_0_11591]) ).
cnf(refute_0_11593,plain,
meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11594,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) != meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0)))
| meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))),meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_11595,plain,
( converse(composition(top,skolemFOFtoCNF_X0)) != composition(skolemFOFtoCNF_X0,top)
| meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))),meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11593,refute_0_11594]) ).
cnf(refute_0_11596,plain,
meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_5513,refute_0_11595]) ).
cnf(refute_0_11597,plain,
( meet(complement(one),converse(X_830)) != meet(complement(one),converse(join(one,X_830)))
| meet(complement(one),converse(join(one,X_830))) = meet(complement(one),converse(X_830)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(one),converse(X_830)))),bind(Y,$fot(meet(complement(one),converse(join(one,X_830)))))]]) ).
cnf(refute_0_11598,plain,
meet(complement(one),converse(join(one,X_830))) = meet(complement(one),converse(X_830)),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(X_830)),meet(complement(one),converse(join(one,X_830)))) )],[refute_0_9824,refute_0_11597]) ).
cnf(refute_0_11599,plain,
meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_11598:[bind(X_830,$fot(composition(top,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11600,plain,
( meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) != meet(complement(one),composition(skolemFOFtoCNF_X0,top))
| meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0)))
| meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11601,plain,
( meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))) != meet(complement(one),composition(skolemFOFtoCNF_X0,top))
| meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))),meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0)))) )],[refute_0_11599,refute_0_11600]) ).
cnf(refute_0_11602,plain,
meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(top,skolemFOFtoCNF_X0))),meet(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11596,refute_0_11601]) ).
cnf(refute_0_11603,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))
| meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))) != meet(complement(one),composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,complement(one)),meet(complement(one),composition(skolemFOFtoCNF_X0,top))) ),[0],$fot(meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11604,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0)))),meet(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11602,refute_0_11603]) ).
cnf(refute_0_11605,plain,
( meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))) != meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_11592,refute_0_11604]) ).
cnf(refute_0_11606,plain,
composition(skolemFOFtoCNF_X0,complement(one)) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(composition(complement(one),skolemFOFtoCNF_X0))),meet(complement(one),converse(join(one,composition(top,skolemFOFtoCNF_X0))))) )],[refute_0_9848,refute_0_11605]) ).
cnf(refute_0_11607,plain,
( composition(skolemFOFtoCNF_X0,complement(one)) != meet(complement(one),composition(skolemFOFtoCNF_X0,top))
| meet(complement(one),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11608,plain,
meet(complement(one),composition(skolemFOFtoCNF_X0,top)) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(one)),meet(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11606,refute_0_11607]) ).
cnf(refute_0_11609,plain,
meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(complement(one),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_9817:[bind(X_787,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_11610,plain,
( meet(complement(one),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) != meet(complement(one),composition(skolemFOFtoCNF_X0,top))
| meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(meet(complement(one),composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11611,plain,
( meet(complement(one),composition(skolemFOFtoCNF_X0,top)) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))),meet(complement(one),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11609,refute_0_11610]) ).
cnf(refute_0_11612,plain,
meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(skolemFOFtoCNF_X0,top)),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11608,refute_0_11611]) ).
cnf(refute_0_11613,plain,
complement(join(one,skolemFOFtoCNF_X0)) = complement(join(one,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(join(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11614,plain,
( complement(join(one,skolemFOFtoCNF_X0)) != complement(join(one,skolemFOFtoCNF_X0))
| join(one,skolemFOFtoCNF_X0) != one
| complement(join(one,skolemFOFtoCNF_X0)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,skolemFOFtoCNF_X0)),complement(join(one,skolemFOFtoCNF_X0))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_11615,plain,
( join(one,skolemFOFtoCNF_X0) != one
| complement(join(one,skolemFOFtoCNF_X0)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,skolemFOFtoCNF_X0)),complement(join(one,skolemFOFtoCNF_X0))) )],[refute_0_11613,refute_0_11614]) ).
cnf(refute_0_11616,plain,
complement(join(one,skolemFOFtoCNF_X0)) = complement(one),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_11615]) ).
cnf(refute_0_11617,plain,
meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11618,plain,
( complement(join(one,skolemFOFtoCNF_X0)) != complement(one)
| meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) != meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_11619,plain,
( complement(join(one,skolemFOFtoCNF_X0)) != complement(one)
| meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11617,refute_0_11618]) ).
cnf(refute_0_11620,plain,
meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(join(one,skolemFOFtoCNF_X0)),complement(one)) )],[refute_0_11616,refute_0_11619]) ).
cnf(refute_0_11621,plain,
( meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) != meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11622,plain,
( meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11620,refute_0_11621]) ).
cnf(refute_0_11623,plain,
meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11612,refute_0_11622]) ).
cnf(refute_0_11624,plain,
meet(complement(X_31),meet(complement(X_874),X_873)) = complement(join(X_31,complement(meet(complement(X_874),X_873)))),
inference(subst,[],[refute_0_266:[bind(X1,$fot(meet(complement(X_874),X_873)))]]) ).
cnf(refute_0_11625,plain,
( complement(meet(complement(X_874),X_873)) != join(X_874,complement(X_873))
| meet(complement(X_31),meet(complement(X_874),X_873)) != complement(join(X_31,complement(meet(complement(X_874),X_873))))
| meet(complement(X_31),meet(complement(X_874),X_873)) = complement(join(X_31,join(X_874,complement(X_873)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),meet(complement(X_874),X_873)),complement(join(X_31,complement(meet(complement(X_874),X_873))))) ),[1,0,1],$fot(join(X_874,complement(X_873)))]]) ).
cnf(refute_0_11626,plain,
( meet(complement(X_31),meet(complement(X_874),X_873)) != complement(join(X_31,complement(meet(complement(X_874),X_873))))
| meet(complement(X_31),meet(complement(X_874),X_873)) = complement(join(X_31,join(X_874,complement(X_873)))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_874),X_873)),join(X_874,complement(X_873))) )],[refute_0_9607,refute_0_11625]) ).
cnf(refute_0_11627,plain,
meet(complement(X_31),meet(complement(X_874),X_873)) = complement(join(X_31,join(X_874,complement(X_873)))),
inference(resolve,[$cnf( $equal(meet(complement(X_31),meet(complement(X_874),X_873)),complement(join(X_31,complement(meet(complement(X_874),X_873))))) )],[refute_0_11624,refute_0_11626]) ).
cnf(refute_0_11628,plain,
complement(join(X_31,join(X_874,complement(X_873)))) = meet(complement(join(X_31,X_874)),X_873),
inference(subst,[],[refute_0_5171:[bind(X0,$fot(X_31)),bind(X1,$fot(X_874)),bind(X_678,$fot(X_873))]]) ).
cnf(refute_0_11629,plain,
( complement(join(X_31,join(X_874,complement(X_873)))) != meet(complement(join(X_31,X_874)),X_873)
| meet(complement(X_31),meet(complement(X_874),X_873)) != complement(join(X_31,join(X_874,complement(X_873))))
| meet(complement(X_31),meet(complement(X_874),X_873)) = meet(complement(join(X_31,X_874)),X_873) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_31),meet(complement(X_874),X_873)),complement(join(X_31,join(X_874,complement(X_873))))) ),[1],$fot(meet(complement(join(X_31,X_874)),X_873))]]) ).
cnf(refute_0_11630,plain,
( meet(complement(X_31),meet(complement(X_874),X_873)) != complement(join(X_31,join(X_874,complement(X_873))))
| meet(complement(X_31),meet(complement(X_874),X_873)) = meet(complement(join(X_31,X_874)),X_873) ),
inference(resolve,[$cnf( $equal(complement(join(X_31,join(X_874,complement(X_873)))),meet(complement(join(X_31,X_874)),X_873)) )],[refute_0_11628,refute_0_11629]) ).
cnf(refute_0_11631,plain,
meet(complement(X_31),meet(complement(X_874),X_873)) = meet(complement(join(X_31,X_874)),X_873),
inference(resolve,[$cnf( $equal(meet(complement(X_31),meet(complement(X_874),X_873)),complement(join(X_31,join(X_874,complement(X_873))))) )],[refute_0_11627,refute_0_11630]) ).
cnf(refute_0_11632,plain,
meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_11631:[bind(X_31,$fot(one)),bind(X_873,$fot(join(one,composition(skolemFOFtoCNF_X0,top)))),bind(X_874,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11633,plain,
( meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11634,plain,
( meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11632,refute_0_11633]) ).
cnf(refute_0_11635,plain,
meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(join(one,skolemFOFtoCNF_X0)),join(one,composition(skolemFOFtoCNF_X0,top))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11623,refute_0_11634]) ).
cnf(refute_0_11636,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_11637,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11638,plain,
( meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(one))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_11636,refute_0_11637]) ).
cnf(refute_0_11639,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11635,refute_0_11638]) ).
cnf(refute_0_11640,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) != join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11641,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))) != join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11639,refute_0_11640]) ).
cnf(refute_0_11642,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(one))),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_9641,refute_0_11641]) ).
cnf(refute_0_11643,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1],$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11644,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11642,refute_0_11643]) ).
cnf(refute_0_11645,plain,
meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) = join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9640,refute_0_11644]) ).
cnf(refute_0_11646,plain,
( meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) != join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11647,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11645,refute_0_11646]) ).
cnf(refute_0_11648,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(one))) ),[0,0],$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11649,plain,
( meet(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11647,refute_0_11648]) ).
cnf(refute_0_11650,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(composition(skolemFOFtoCNF_X0,complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_9636,refute_0_11649]) ).
cnf(refute_0_11651,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_28,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_11652,plain,
composition(join(one,skolemFOFtoCNF_X0),complement(one)) = composition(join(one,skolemFOFtoCNF_X0),complement(one)),
introduced(tautology,[refl,[$fot(composition(join(one,skolemFOFtoCNF_X0),complement(one)))]]) ).
cnf(refute_0_11653,plain,
( composition(join(one,skolemFOFtoCNF_X0),complement(one)) != composition(join(one,skolemFOFtoCNF_X0),complement(one))
| join(one,skolemFOFtoCNF_X0) != one
| composition(join(one,skolemFOFtoCNF_X0),complement(one)) = composition(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),complement(one)),composition(join(one,skolemFOFtoCNF_X0),complement(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_11654,plain,
( join(one,skolemFOFtoCNF_X0) != one
| composition(join(one,skolemFOFtoCNF_X0),complement(one)) = composition(one,complement(one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),complement(one)),composition(join(one,skolemFOFtoCNF_X0),complement(one))) )],[refute_0_11652,refute_0_11653]) ).
cnf(refute_0_11655,plain,
composition(join(one,skolemFOFtoCNF_X0),complement(one)) = composition(one,complement(one)),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_337,refute_0_11654]) ).
cnf(refute_0_11656,plain,
( composition(join(one,skolemFOFtoCNF_X0),complement(one)) != composition(one,complement(one))
| composition(one,complement(one)) != complement(one)
| composition(join(one,skolemFOFtoCNF_X0),complement(one)) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,skolemFOFtoCNF_X0),complement(one)))),bind(Y,$fot(composition(one,complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_11657,plain,
( composition(one,complement(one)) != complement(one)
| composition(join(one,skolemFOFtoCNF_X0),complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),complement(one)),composition(one,complement(one))) )],[refute_0_11655,refute_0_11656]) ).
cnf(refute_0_11658,plain,
composition(join(one,skolemFOFtoCNF_X0),complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(composition(one,complement(one)),complement(one)) )],[refute_0_4981,refute_0_11657]) ).
cnf(refute_0_11659,plain,
join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) = join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))]]) ).
cnf(refute_0_11660,plain,
( composition(join(one,skolemFOFtoCNF_X0),complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) != join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))
| join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_11661,plain,
( composition(join(one,skolemFOFtoCNF_X0),complement(one)) != complement(one)
| join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_11659,refute_0_11660]) ).
cnf(refute_0_11662,plain,
join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),complement(one)),complement(one)) )],[refute_0_11658,refute_0_11661]) ).
cnf(refute_0_11663,plain,
join(composition(X1,X2),join(X_660,composition(X0,X2))) = join(X_660,join(composition(X0,X2),composition(X1,X2))),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(composition(X1,X2))),bind(X_55,$fot(X_660)),bind(X_56,$fot(composition(X0,X2)))]]) ).
cnf(refute_0_11664,plain,
( join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
| join(composition(X1,X2),join(X_660,composition(X0,X2))) != join(X_660,join(composition(X0,X2),composition(X1,X2)))
| join(composition(X1,X2),join(X_660,composition(X0,X2))) = join(X_660,composition(join(X0,X1),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X1,X2),join(X_660,composition(X0,X2))),join(X_660,join(composition(X0,X2),composition(X1,X2)))) ),[1,1],$fot(composition(join(X0,X1),X2))]]) ).
cnf(refute_0_11665,plain,
( join(composition(X1,X2),join(X_660,composition(X0,X2))) != join(X_660,join(composition(X0,X2),composition(X1,X2)))
| join(composition(X1,X2),join(X_660,composition(X0,X2))) = join(X_660,composition(join(X0,X1),X2)) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_0_3304,refute_0_11664]) ).
cnf(refute_0_11666,plain,
join(composition(X1,X2),join(X_660,composition(X0,X2))) = join(X_660,composition(join(X0,X1),X2)),
inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(X_660,composition(X0,X2))),join(X_660,join(composition(X0,X2),composition(X1,X2)))) )],[refute_0_11663,refute_0_11665]) ).
cnf(refute_0_11667,plain,
join(X_256,join(composition(X0,X2),composition(X1,X2))) = join(composition(X0,X2),join(X_256,composition(X1,X2))),
inference(subst,[],[refute_0_1696:[bind(X_55,$fot(X_256)),bind(X_56,$fot(composition(X0,X2))),bind(X_57,$fot(composition(X1,X2)))]]) ).
cnf(refute_0_11668,plain,
( join(X_256,join(composition(X0,X2),composition(X1,X2))) != join(composition(X0,X2),join(X_256,composition(X1,X2)))
| join(composition(X0,X2),composition(X1,X2)) != composition(join(X0,X1),X2)
| join(X_256,composition(join(X0,X1),X2)) = join(composition(X0,X2),join(X_256,composition(X1,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_256,join(composition(X0,X2),composition(X1,X2))),join(composition(X0,X2),join(X_256,composition(X1,X2)))) ),[0,1],$fot(composition(join(X0,X1),X2))]]) ).
cnf(refute_0_11669,plain,
( join(X_256,join(composition(X0,X2),composition(X1,X2))) != join(composition(X0,X2),join(X_256,composition(X1,X2)))
| join(X_256,composition(join(X0,X1),X2)) = join(composition(X0,X2),join(X_256,composition(X1,X2))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X1,X2)),composition(join(X0,X1),X2)) )],[refute_0_3304,refute_0_11668]) ).
cnf(refute_0_11670,plain,
join(X_256,composition(join(X0,X1),X2)) = join(composition(X0,X2),join(X_256,composition(X1,X2))),
inference(resolve,[$cnf( $equal(join(X_256,join(composition(X0,X2),composition(X1,X2))),join(composition(X0,X2),join(X_256,composition(X1,X2)))) )],[refute_0_11667,refute_0_11669]) ).
cnf(refute_0_11671,plain,
( join(X_256,composition(join(X0,X1),X2)) != join(composition(X0,X2),join(X_256,composition(X1,X2)))
| join(composition(X0,X2),join(X_256,composition(X1,X2))) = join(X_256,composition(join(X0,X1),X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_256,composition(join(X0,X1),X2)))),bind(Y,$fot(join(composition(X0,X2),join(X_256,composition(X1,X2)))))]]) ).
cnf(refute_0_11672,plain,
join(composition(X0,X2),join(X_256,composition(X1,X2))) = join(X_256,composition(join(X0,X1),X2)),
inference(resolve,[$cnf( $equal(join(X_256,composition(join(X0,X1),X2)),join(composition(X0,X2),join(X_256,composition(X1,X2)))) )],[refute_0_11670,refute_0_11671]) ).
cnf(refute_0_11673,plain,
join(composition(X1,X2),join(X_660,composition(X0,X2))) = join(X_660,composition(join(X1,X0),X2)),
inference(subst,[],[refute_0_11672:[bind(X0,$fot(X1)),bind(X1,$fot(X0)),bind(X_256,$fot(X_660))]]) ).
cnf(refute_0_11674,plain,
( join(composition(X1,X2),join(X_660,composition(X0,X2))) != join(X_660,composition(join(X0,X1),X2))
| join(composition(X1,X2),join(X_660,composition(X0,X2))) != join(X_660,composition(join(X1,X0),X2))
| join(X_660,composition(join(X1,X0),X2)) = join(X_660,composition(join(X0,X1),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X1,X2),join(X_660,composition(X0,X2))),join(X_660,composition(join(X0,X1),X2))) ),[0],$fot(join(X_660,composition(join(X1,X0),X2)))]]) ).
cnf(refute_0_11675,plain,
( join(composition(X1,X2),join(X_660,composition(X0,X2))) != join(X_660,composition(join(X0,X1),X2))
| join(X_660,composition(join(X1,X0),X2)) = join(X_660,composition(join(X0,X1),X2)) ),
inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(X_660,composition(X0,X2))),join(X_660,composition(join(X1,X0),X2))) )],[refute_0_11673,refute_0_11674]) ).
cnf(refute_0_11676,plain,
join(X_660,composition(join(X1,X0),X2)) = join(X_660,composition(join(X0,X1),X2)),
inference(resolve,[$cnf( $equal(join(composition(X1,X2),join(X_660,composition(X0,X2))),join(X_660,composition(join(X0,X1),X2))) )],[refute_0_11666,refute_0_11675]) ).
cnf(refute_0_11677,plain,
( join(X_660,composition(join(X1,X0),X2)) != join(X_660,composition(join(X0,X1),X2))
| join(X_660,composition(join(X0,X1),X2)) = join(X_660,composition(join(X1,X0),X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_660,composition(join(X1,X0),X2)))),bind(Y,$fot(join(X_660,composition(join(X0,X1),X2))))]]) ).
cnf(refute_0_11678,plain,
join(X_660,composition(join(X0,X1),X2)) = join(X_660,composition(join(X1,X0),X2)),
inference(resolve,[$cnf( $equal(join(X_660,composition(join(X1,X0),X2)),join(X_660,composition(join(X0,X1),X2))) )],[refute_0_11676,refute_0_11677]) ).
cnf(refute_0_11679,plain,
join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) = join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),
inference(subst,[],[refute_0_11678:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(one)),bind(X2,$fot(complement(one))),bind(X_660,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11680,plain,
join(composition(X_144,X_661),join(X_660,X_661)) = join(X_660,join(X_661,composition(X_144,X_661))),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(composition(X_144,X_661))),bind(X_55,$fot(X_660)),bind(X_56,$fot(X_661))]]) ).
cnf(refute_0_11681,plain,
composition(join(X_144,one),X_661) = join(X_661,composition(X_144,X_661)),
inference(subst,[],[refute_0_834:[bind(X_146,$fot(X_661))]]) ).
cnf(refute_0_11682,plain,
( composition(join(X_144,one),X_661) != join(X_661,composition(X_144,X_661))
| join(X_661,composition(X_144,X_661)) = composition(join(X_144,one),X_661) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_144,one),X_661))),bind(Y,$fot(join(X_661,composition(X_144,X_661))))]]) ).
cnf(refute_0_11683,plain,
join(X_661,composition(X_144,X_661)) = composition(join(X_144,one),X_661),
inference(resolve,[$cnf( $equal(composition(join(X_144,one),X_661),join(X_661,composition(X_144,X_661))) )],[refute_0_11681,refute_0_11682]) ).
cnf(refute_0_11684,plain,
( join(X_661,composition(X_144,X_661)) != composition(join(X_144,one),X_661)
| join(composition(X_144,X_661),join(X_660,X_661)) != join(X_660,join(X_661,composition(X_144,X_661)))
| join(composition(X_144,X_661),join(X_660,X_661)) = join(X_660,composition(join(X_144,one),X_661)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_144,X_661),join(X_660,X_661)),join(X_660,join(X_661,composition(X_144,X_661)))) ),[1,1],$fot(composition(join(X_144,one),X_661))]]) ).
cnf(refute_0_11685,plain,
( join(composition(X_144,X_661),join(X_660,X_661)) != join(X_660,join(X_661,composition(X_144,X_661)))
| join(composition(X_144,X_661),join(X_660,X_661)) = join(X_660,composition(join(X_144,one),X_661)) ),
inference(resolve,[$cnf( $equal(join(X_661,composition(X_144,X_661)),composition(join(X_144,one),X_661)) )],[refute_0_11683,refute_0_11684]) ).
cnf(refute_0_11686,plain,
join(composition(X_144,X_661),join(X_660,X_661)) = join(X_660,composition(join(X_144,one),X_661)),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_661),join(X_660,X_661)),join(X_660,join(X_661,composition(X_144,X_661)))) )],[refute_0_11680,refute_0_11685]) ).
cnf(refute_0_11687,plain,
join(X_57,join(X_56,X_55)) = join(X_56,join(X_55,X_57)),
inference(subst,[],[refute_0_3095:[bind(X0,$fot(X_57)),bind(X_55,$fot(X_56)),bind(X_56,$fot(X_55))]]) ).
cnf(refute_0_11688,plain,
( join(X_57,join(X_56,X_55)) != join(X_56,join(X_55,X_57))
| join(X_56,join(X_55,X_57)) = join(X_57,join(X_56,X_55)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_57,join(X_56,X_55)))),bind(Y,$fot(join(X_56,join(X_55,X_57))))]]) ).
cnf(refute_0_11689,plain,
join(X_56,join(X_55,X_57)) = join(X_57,join(X_56,X_55)),
inference(resolve,[$cnf( $equal(join(X_57,join(X_56,X_55)),join(X_56,join(X_55,X_57))) )],[refute_0_11687,refute_0_11688]) ).
cnf(refute_0_11690,plain,
( join(X_55,join(X_56,X_57)) != join(X_56,join(X_55,X_57))
| join(X_56,join(X_55,X_57)) != join(X_57,join(X_56,X_55))
| join(X_55,join(X_56,X_57)) = join(X_57,join(X_56,X_55)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_55,join(X_56,X_57)),join(X_57,join(X_56,X_55))) ),[0],$fot(join(X_56,join(X_55,X_57)))]]) ).
cnf(refute_0_11691,plain,
( join(X_55,join(X_56,X_57)) != join(X_56,join(X_55,X_57))
| join(X_55,join(X_56,X_57)) = join(X_57,join(X_56,X_55)) ),
inference(resolve,[$cnf( $equal(join(X_56,join(X_55,X_57)),join(X_57,join(X_56,X_55))) )],[refute_0_11689,refute_0_11690]) ).
cnf(refute_0_11692,plain,
join(X_55,join(X_56,X_57)) = join(X_57,join(X_56,X_55)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(X_56,join(X_55,X_57))) )],[refute_0_1696,refute_0_11691]) ).
cnf(refute_0_11693,plain,
( join(X_55,join(X_56,X_57)) != join(X_57,join(X_56,X_55))
| join(X_57,join(X_56,X_55)) = join(X_55,join(X_56,X_57)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_55,join(X_56,X_57)))),bind(Y,$fot(join(X_57,join(X_56,X_55))))]]) ).
cnf(refute_0_11694,plain,
join(X_57,join(X_56,X_55)) = join(X_55,join(X_56,X_57)),
inference(resolve,[$cnf( $equal(join(X_55,join(X_56,X_57)),join(X_57,join(X_56,X_55))) )],[refute_0_11692,refute_0_11693]) ).
cnf(refute_0_11695,plain,
join(composition(X_144,X_661),join(X_660,X_661)) = join(X_661,join(X_660,composition(X_144,X_661))),
inference(subst,[],[refute_0_11694:[bind(X_55,$fot(X_661)),bind(X_56,$fot(X_660)),bind(X_57,$fot(composition(X_144,X_661)))]]) ).
cnf(refute_0_11696,plain,
( join(composition(X_144,X_661),join(X_660,X_661)) != join(X_660,composition(join(X_144,one),X_661))
| join(composition(X_144,X_661),join(X_660,X_661)) != join(X_661,join(X_660,composition(X_144,X_661)))
| join(X_661,join(X_660,composition(X_144,X_661))) = join(X_660,composition(join(X_144,one),X_661)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_144,X_661),join(X_660,X_661)),join(X_660,composition(join(X_144,one),X_661))) ),[0],$fot(join(X_661,join(X_660,composition(X_144,X_661))))]]) ).
cnf(refute_0_11697,plain,
( join(composition(X_144,X_661),join(X_660,X_661)) != join(X_660,composition(join(X_144,one),X_661))
| join(X_661,join(X_660,composition(X_144,X_661))) = join(X_660,composition(join(X_144,one),X_661)) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_661),join(X_660,X_661)),join(X_661,join(X_660,composition(X_144,X_661)))) )],[refute_0_11695,refute_0_11696]) ).
cnf(refute_0_11698,plain,
join(X_661,join(X_660,composition(X_144,X_661))) = join(X_660,composition(join(X_144,one),X_661)),
inference(resolve,[$cnf( $equal(join(composition(X_144,X_661),join(X_660,X_661)),join(X_660,composition(join(X_144,one),X_661))) )],[refute_0_11686,refute_0_11697]) ).
cnf(refute_0_11699,plain,
join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))),
inference(subst,[],[refute_0_11698:[bind(X_144,$fot(skolemFOFtoCNF_X0)),bind(X_660,$fot(skolemFOFtoCNF_X0)),bind(X_661,$fot(complement(one)))]]) ).
cnf(refute_0_11700,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))
| join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) != join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))
| join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))))]]) ).
cnf(refute_0_11701,plain,
( join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))) != join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))
| join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one)))) )],[refute_0_11699,refute_0_11700]) ).
cnf(refute_0_11702,plain,
join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(skolemFOFtoCNF_X0,one),complement(one))),join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_11679,refute_0_11701]) ).
cnf(refute_0_11703,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))
| join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11704,plain,
( join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_11702,refute_0_11703]) ).
cnf(refute_0_11705,plain,
join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(one,skolemFOFtoCNF_X0),complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11662,refute_0_11704]) ).
cnf(refute_0_11706,plain,
converse(join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0))) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),
inference(subst,[],[refute_0_400:[bind(X_4,$fot(converse(join(X_767,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11707,plain,
join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(converse(X_565),join(converse(skolemFOFtoCNF_X0),X_566)),
inference(subst,[],[refute_0_4507:[bind(X0,$fot(X_565)),bind(X_21,$fot(X_566)),bind(X_22,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11708,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) != join(converse(X_565),join(converse(skolemFOFtoCNF_X0),X_566))
| join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(converse(X_565),join(skolemFOFtoCNF_X0,X_566)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566),join(converse(X_565),join(converse(skolemFOFtoCNF_X0),X_566))) ),[1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11709,plain,
( join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) != join(converse(X_565),join(converse(skolemFOFtoCNF_X0),X_566))
| join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(converse(X_565),join(skolemFOFtoCNF_X0,X_566)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_11708]) ).
cnf(refute_0_11710,plain,
join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(converse(X_565),join(skolemFOFtoCNF_X0,X_566)),
inference(resolve,[$cnf( $equal(join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566),join(converse(X_565),join(converse(skolemFOFtoCNF_X0),X_566))) )],[refute_0_11707,refute_0_11709]) ).
cnf(refute_0_11711,plain,
join(converse(X_565),join(skolemFOFtoCNF_X0,X_566)) = join(skolemFOFtoCNF_X0,join(X_566,converse(X_565))),
inference(subst,[],[refute_0_4699:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_566)),bind(X_517,$fot(converse(X_565)))]]) ).
cnf(refute_0_11712,plain,
( join(converse(X_565),join(skolemFOFtoCNF_X0,X_566)) != join(skolemFOFtoCNF_X0,join(X_566,converse(X_565)))
| join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) != join(converse(X_565),join(skolemFOFtoCNF_X0,X_566))
| join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(skolemFOFtoCNF_X0,join(X_566,converse(X_565))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566),join(converse(X_565),join(skolemFOFtoCNF_X0,X_566))) ),[1],$fot(join(skolemFOFtoCNF_X0,join(X_566,converse(X_565))))]]) ).
cnf(refute_0_11713,plain,
( join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) != join(converse(X_565),join(skolemFOFtoCNF_X0,X_566))
| join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(skolemFOFtoCNF_X0,join(X_566,converse(X_565))) ),
inference(resolve,[$cnf( $equal(join(converse(X_565),join(skolemFOFtoCNF_X0,X_566)),join(skolemFOFtoCNF_X0,join(X_566,converse(X_565)))) )],[refute_0_11711,refute_0_11712]) ).
cnf(refute_0_11714,plain,
join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566) = join(skolemFOFtoCNF_X0,join(X_566,converse(X_565))),
inference(resolve,[$cnf( $equal(join(converse(join(X_565,skolemFOFtoCNF_X0)),X_566),join(converse(X_565),join(skolemFOFtoCNF_X0,X_566))) )],[refute_0_11710,refute_0_11713]) ).
cnf(refute_0_11715,plain,
join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0)) = join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767))),
inference(subst,[],[refute_0_11714:[bind(X_565,$fot(X_767)),bind(X_566,$fot(converse(X0)))]]) ).
cnf(refute_0_11716,plain,
( converse(join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0))) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0)) != join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))
| converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0))),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) ),[0,0],$fot(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767))))]]) ).
cnf(refute_0_11717,plain,
( converse(join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0))) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0)),join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) )],[refute_0_11715,refute_0_11716]) ).
cnf(refute_0_11718,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_767,skolemFOFtoCNF_X0)),converse(X0))),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) )],[refute_0_11706,refute_0_11717]) ).
cnf(refute_0_11719,plain,
join(converse(skolemFOFtoCNF_X0),X_767) = join(converse(skolemFOFtoCNF_X0),X_767),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),X_767))]]) ).
cnf(refute_0_11720,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(skolemFOFtoCNF_X0),X_767) != join(converse(skolemFOFtoCNF_X0),X_767)
| join(converse(skolemFOFtoCNF_X0),X_767) = join(skolemFOFtoCNF_X0,X_767) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),X_767),join(converse(skolemFOFtoCNF_X0),X_767)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_11721,plain,
( converse(skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(converse(skolemFOFtoCNF_X0),X_767) = join(skolemFOFtoCNF_X0,X_767) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),X_767),join(converse(skolemFOFtoCNF_X0),X_767)) )],[refute_0_11719,refute_0_11720]) ).
cnf(refute_0_11722,plain,
join(converse(skolemFOFtoCNF_X0),X_767) = join(skolemFOFtoCNF_X0,X_767),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_5113,refute_0_11721]) ).
cnf(refute_0_11723,plain,
converse(join(skolemFOFtoCNF_X0,converse(X_767))) = join(converse(skolemFOFtoCNF_X0),X_767),
inference(subst,[],[refute_0_400:[bind(X0,$fot(X_767)),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11724,plain,
( converse(join(skolemFOFtoCNF_X0,converse(X_767))) != join(converse(skolemFOFtoCNF_X0),X_767)
| join(converse(skolemFOFtoCNF_X0),X_767) != join(skolemFOFtoCNF_X0,X_767)
| converse(join(skolemFOFtoCNF_X0,converse(X_767))) = join(skolemFOFtoCNF_X0,X_767) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,converse(X_767))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),X_767))),bind(Z,$fot(join(skolemFOFtoCNF_X0,X_767)))]]) ).
cnf(refute_0_11725,plain,
( join(converse(skolemFOFtoCNF_X0),X_767) != join(skolemFOFtoCNF_X0,X_767)
| converse(join(skolemFOFtoCNF_X0,converse(X_767))) = join(skolemFOFtoCNF_X0,X_767) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(X_767))),join(converse(skolemFOFtoCNF_X0),X_767)) )],[refute_0_11723,refute_0_11724]) ).
cnf(refute_0_11726,plain,
converse(join(skolemFOFtoCNF_X0,converse(X_767))) = join(skolemFOFtoCNF_X0,X_767),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),X_767),join(skolemFOFtoCNF_X0,X_767)) )],[refute_0_11722,refute_0_11725]) ).
cnf(refute_0_11727,plain,
join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) = join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))),
introduced(tautology,[refl,[$fot(join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))))]]) ).
cnf(refute_0_11728,plain,
( converse(join(skolemFOFtoCNF_X0,converse(X_767))) != join(skolemFOFtoCNF_X0,X_767)
| join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) != join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767))))
| join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) = join(X0,join(skolemFOFtoCNF_X0,X_767)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))),join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,X_767))]]) ).
cnf(refute_0_11729,plain,
( converse(join(skolemFOFtoCNF_X0,converse(X_767))) != join(skolemFOFtoCNF_X0,X_767)
| join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) = join(X0,join(skolemFOFtoCNF_X0,X_767)) ),
inference(resolve,[$cnf( $equal(join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))),join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767))))) )],[refute_0_11727,refute_0_11728]) ).
cnf(refute_0_11730,plain,
join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) = join(X0,join(skolemFOFtoCNF_X0,X_767)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,converse(X_767))),join(skolemFOFtoCNF_X0,X_767)) )],[refute_0_11726,refute_0_11729]) ).
cnf(refute_0_11731,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))),
inference(subst,[],[refute_0_1367:[bind(X_178,$fot(X0)),bind(X_180,$fot(converse(X_767))),bind(X_4,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11732,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) != join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767))))
| join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) != join(X0,join(skolemFOFtoCNF_X0,X_767))
| converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(X0,join(skolemFOFtoCNF_X0,X_767)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))))),bind(Y,$fot(join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))))),bind(Z,$fot(join(X0,join(skolemFOFtoCNF_X0,X_767))))]]) ).
cnf(refute_0_11733,plain,
( join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))) != join(X0,join(skolemFOFtoCNF_X0,X_767))
| converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(X0,join(skolemFOFtoCNF_X0,X_767)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))),join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767))))) )],[refute_0_11731,refute_0_11732]) ).
cnf(refute_0_11734,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) = join(X0,join(skolemFOFtoCNF_X0,X_767)),
inference(resolve,[$cnf( $equal(join(X0,converse(join(skolemFOFtoCNF_X0,converse(X_767)))),join(X0,join(skolemFOFtoCNF_X0,X_767))) )],[refute_0_11730,refute_0_11733]) ).
cnf(refute_0_11735,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) != join(X0,join(skolemFOFtoCNF_X0,X_767))
| converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(X0,join(skolemFOFtoCNF_X0,X_767)) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) ),[0],$fot(join(X0,join(skolemFOFtoCNF_X0,X_767)))]]) ).
cnf(refute_0_11736,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(X0,join(skolemFOFtoCNF_X0,X_767)) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))),join(X0,join(skolemFOFtoCNF_X0,X_767))) )],[refute_0_11734,refute_0_11735]) ).
cnf(refute_0_11737,plain,
join(join(X_767,skolemFOFtoCNF_X0),X0) = join(X_767,join(skolemFOFtoCNF_X0,X0)),
inference(subst,[],[refute_0_168:[bind(X0,$fot(X_767)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_11738,plain,
converse(converse(join(X_767,skolemFOFtoCNF_X0))) = join(X_767,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X_767,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11739,plain,
join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),
introduced(tautology,[refl,[$fot(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0))]]) ).
cnf(refute_0_11740,plain,
( converse(converse(join(X_767,skolemFOFtoCNF_X0))) != join(X_767,skolemFOFtoCNF_X0)
| join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(join(X_767,skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) ),[1,0],$fot(join(X_767,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11741,plain,
( converse(converse(join(X_767,skolemFOFtoCNF_X0))) != join(X_767,skolemFOFtoCNF_X0)
| join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(join(X_767,skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) )],[refute_0_11739,refute_0_11740]) ).
cnf(refute_0_11742,plain,
join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(join(X_767,skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(converse(converse(join(X_767,skolemFOFtoCNF_X0))),join(X_767,skolemFOFtoCNF_X0)) )],[refute_0_11738,refute_0_11741]) ).
cnf(refute_0_11743,plain,
( join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) != join(join(X_767,skolemFOFtoCNF_X0),X0)
| join(join(X_767,skolemFOFtoCNF_X0),X0) != join(X_767,join(skolemFOFtoCNF_X0,X0))
| join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(X_767,join(skolemFOFtoCNF_X0,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0))),bind(Y,$fot(join(join(X_767,skolemFOFtoCNF_X0),X0))),bind(Z,$fot(join(X_767,join(skolemFOFtoCNF_X0,X0))))]]) ).
cnf(refute_0_11744,plain,
( join(join(X_767,skolemFOFtoCNF_X0),X0) != join(X_767,join(skolemFOFtoCNF_X0,X0))
| join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(X_767,join(skolemFOFtoCNF_X0,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),join(join(X_767,skolemFOFtoCNF_X0),X0)) )],[refute_0_11742,refute_0_11743]) ).
cnf(refute_0_11745,plain,
join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) = join(X_767,join(skolemFOFtoCNF_X0,X0)),
inference(resolve,[$cnf( $equal(join(join(X_767,skolemFOFtoCNF_X0),X0),join(X_767,join(skolemFOFtoCNF_X0,X0))) )],[refute_0_11737,refute_0_11744]) ).
cnf(refute_0_11746,plain,
( join(X0,join(skolemFOFtoCNF_X0,X_767)) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0) != join(X_767,join(skolemFOFtoCNF_X0,X0))
| join(X0,join(skolemFOFtoCNF_X0,X_767)) = join(X_767,join(skolemFOFtoCNF_X0,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(skolemFOFtoCNF_X0,X_767)),join(X_767,join(skolemFOFtoCNF_X0,X0))) ),[0],$fot(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0))]]) ).
cnf(refute_0_11747,plain,
( join(X0,join(skolemFOFtoCNF_X0,X_767)) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(X0,join(skolemFOFtoCNF_X0,X_767)) = join(X_767,join(skolemFOFtoCNF_X0,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0),join(X_767,join(skolemFOFtoCNF_X0,X0))) )],[refute_0_11745,refute_0_11746]) ).
cnf(refute_0_11748,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))) != join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)
| join(X0,join(skolemFOFtoCNF_X0,X_767)) = join(X_767,join(skolemFOFtoCNF_X0,X0)) ),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,X_767)),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) )],[refute_0_11736,refute_0_11747]) ).
cnf(refute_0_11749,plain,
join(X0,join(skolemFOFtoCNF_X0,X_767)) = join(X_767,join(skolemFOFtoCNF_X0,X0)),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(X0),converse(X_767)))),join(converse(converse(join(X_767,skolemFOFtoCNF_X0))),X0)) )],[refute_0_11718,refute_0_11748]) ).
cnf(refute_0_11750,plain,
( join(X0,join(skolemFOFtoCNF_X0,X_767)) != join(X_767,join(skolemFOFtoCNF_X0,X0))
| join(X_767,join(skolemFOFtoCNF_X0,X0)) = join(X0,join(skolemFOFtoCNF_X0,X_767)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(skolemFOFtoCNF_X0,X_767)))),bind(Y,$fot(join(X_767,join(skolemFOFtoCNF_X0,X0))))]]) ).
cnf(refute_0_11751,plain,
join(X_767,join(skolemFOFtoCNF_X0,X0)) = join(X0,join(skolemFOFtoCNF_X0,X_767)),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,X_767)),join(X_767,join(skolemFOFtoCNF_X0,X0))) )],[refute_0_11749,refute_0_11750]) ).
cnf(refute_0_11752,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_11751:[bind(X0,$fot(complement(one))),bind(X_767,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11753,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))
| join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11754,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_11752,refute_0_11753]) ).
cnf(refute_0_11755,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11705,refute_0_11754]) ).
cnf(refute_0_11756,plain,
complement(complement(X1)) = meet(complement(complement(X1)),complement(meet(X_365,complement(X1)))),
inference(subst,[],[refute_0_8698:[bind(X1,$fot(complement(X1))),bind(X_350,$fot(X_365))]]) ).
cnf(refute_0_11757,plain,
( complement(complement(X1)) != X1
| complement(complement(X1)) != meet(complement(complement(X1)),complement(meet(X_365,complement(X1))))
| complement(complement(X1)) = meet(X1,complement(meet(X_365,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X1)),meet(complement(complement(X1)),complement(meet(X_365,complement(X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_11758,plain,
( complement(complement(X1)) != meet(complement(complement(X1)),complement(meet(X_365,complement(X1))))
| complement(complement(X1)) = meet(X1,complement(meet(X_365,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_11757]) ).
cnf(refute_0_11759,plain,
complement(complement(X1)) = meet(X1,complement(meet(X_365,complement(X1)))),
inference(resolve,[$cnf( $equal(complement(complement(X1)),meet(complement(complement(X1)),complement(meet(X_365,complement(X1))))) )],[refute_0_11756,refute_0_11758]) ).
cnf(refute_0_11760,plain,
( complement(complement(X1)) != X1
| complement(complement(X1)) != meet(X1,complement(meet(X_365,complement(X1))))
| X1 = meet(X1,complement(meet(X_365,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X1)),meet(X1,complement(meet(X_365,complement(X1))))) ),[0],$fot(X1)]]) ).
cnf(refute_0_11761,plain,
( complement(complement(X1)) != meet(X1,complement(meet(X_365,complement(X1))))
| X1 = meet(X1,complement(meet(X_365,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_292,refute_0_11760]) ).
cnf(refute_0_11762,plain,
X1 = meet(X1,complement(meet(X_365,complement(X1)))),
inference(resolve,[$cnf( $equal(complement(complement(X1)),meet(X1,complement(meet(X_365,complement(X1))))) )],[refute_0_11759,refute_0_11761]) ).
cnf(refute_0_11763,plain,
join(complement(X_704),X_705) = meet(join(complement(X_704),X_705),complement(meet(X_365,complement(join(complement(X_704),X_705))))),
inference(subst,[],[refute_0_11762:[bind(X1,$fot(join(complement(X_704),X_705)))]]) ).
cnf(refute_0_11764,plain,
meet(X_704,complement(X_705)) = complement(join(complement(X_704),X_705)),
inference(subst,[],[refute_0_903:[bind(X0,$fot(X_704)),bind(X_31,$fot(X_705))]]) ).
cnf(refute_0_11765,plain,
( meet(X_704,complement(X_705)) != complement(join(complement(X_704),X_705))
| complement(join(complement(X_704),X_705)) = meet(X_704,complement(X_705)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_704,complement(X_705)))),bind(Y,$fot(complement(join(complement(X_704),X_705))))]]) ).
cnf(refute_0_11766,plain,
complement(join(complement(X_704),X_705)) = meet(X_704,complement(X_705)),
inference(resolve,[$cnf( $equal(meet(X_704,complement(X_705)),complement(join(complement(X_704),X_705))) )],[refute_0_11764,refute_0_11765]) ).
cnf(refute_0_11767,plain,
( complement(join(complement(X_704),X_705)) != meet(X_704,complement(X_705))
| join(complement(X_704),X_705) != meet(join(complement(X_704),X_705),complement(meet(X_365,complement(join(complement(X_704),X_705)))))
| join(complement(X_704),X_705) = meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_704),X_705),meet(join(complement(X_704),X_705),complement(meet(X_365,complement(join(complement(X_704),X_705)))))) ),[1,1,0,1],$fot(meet(X_704,complement(X_705)))]]) ).
cnf(refute_0_11768,plain,
( join(complement(X_704),X_705) != meet(join(complement(X_704),X_705),complement(meet(X_365,complement(join(complement(X_704),X_705)))))
| join(complement(X_704),X_705) = meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_704),X_705)),meet(X_704,complement(X_705))) )],[refute_0_11766,refute_0_11767]) ).
cnf(refute_0_11769,plain,
join(complement(X_704),X_705) = meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))),
inference(resolve,[$cnf( $equal(join(complement(X_704),X_705),meet(join(complement(X_704),X_705),complement(meet(X_365,complement(join(complement(X_704),X_705)))))) )],[refute_0_11763,refute_0_11768]) ).
cnf(refute_0_11770,plain,
( X_270 != join(X_270,meet(X1,X_270))
| join(X_270,meet(X1,X_270)) = X_270 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_270)),bind(Y,$fot(join(X_270,meet(X1,X_270))))]]) ).
cnf(refute_0_11771,plain,
join(X_270,meet(X1,X_270)) = X_270,
inference(resolve,[$cnf( $equal(X_270,join(X_270,meet(X1,X_270))) )],[refute_0_2023,refute_0_11770]) ).
cnf(refute_0_11772,plain,
join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))) = meet(X_704,complement(X_705)),
inference(subst,[],[refute_0_11771:[bind(X1,$fot(X_365)),bind(X_270,$fot(meet(X_704,complement(X_705))))]]) ).
cnf(refute_0_11773,plain,
complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) = complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))))]]) ).
cnf(refute_0_11774,plain,
( complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) != complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))))
| join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))) != meet(X_704,complement(X_705))
| complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) = complement(meet(X_704,complement(X_705))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))),complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))))) ),[1,0],$fot(meet(X_704,complement(X_705)))]]) ).
cnf(refute_0_11775,plain,
( join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))) != meet(X_704,complement(X_705))
| complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) = complement(meet(X_704,complement(X_705))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))),complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))))) )],[refute_0_11773,refute_0_11774]) ).
cnf(refute_0_11776,plain,
complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) = complement(meet(X_704,complement(X_705))),
inference(resolve,[$cnf( $equal(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))),meet(X_704,complement(X_705))) )],[refute_0_11772,refute_0_11775]) ).
cnf(refute_0_11777,plain,
meet(join(complement(X_704),X_705),complement(X_31)) = complement(join(complement(join(complement(X_704),X_705)),X_31)),
inference(subst,[],[refute_0_903:[bind(X0,$fot(join(complement(X_704),X_705)))]]) ).
cnf(refute_0_11778,plain,
( complement(join(complement(X_704),X_705)) != meet(X_704,complement(X_705))
| meet(join(complement(X_704),X_705),complement(X_31)) != complement(join(complement(join(complement(X_704),X_705)),X_31))
| meet(join(complement(X_704),X_705),complement(X_31)) = complement(join(meet(X_704,complement(X_705)),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_704),X_705),complement(X_31)),complement(join(complement(join(complement(X_704),X_705)),X_31))) ),[1,0,0],$fot(meet(X_704,complement(X_705)))]]) ).
cnf(refute_0_11779,plain,
( meet(join(complement(X_704),X_705),complement(X_31)) != complement(join(complement(join(complement(X_704),X_705)),X_31))
| meet(join(complement(X_704),X_705),complement(X_31)) = complement(join(meet(X_704,complement(X_705)),X_31)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_704),X_705)),meet(X_704,complement(X_705))) )],[refute_0_11766,refute_0_11778]) ).
cnf(refute_0_11780,plain,
meet(join(complement(X_704),X_705),complement(X_31)) = complement(join(meet(X_704,complement(X_705)),X_31)),
inference(resolve,[$cnf( $equal(meet(join(complement(X_704),X_705),complement(X_31)),complement(join(complement(join(complement(X_704),X_705)),X_31))) )],[refute_0_11777,refute_0_11779]) ).
cnf(refute_0_11781,plain,
meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) = complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))),
inference(subst,[],[refute_0_11780:[bind(X_31,$fot(meet(X_365,meet(X_704,complement(X_705)))))]]) ).
cnf(refute_0_11782,plain,
( complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) != complement(meet(X_704,complement(X_705)))
| meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) != complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))))
| meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) = complement(meet(X_704,complement(X_705))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))))),bind(Y,$fot(complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))))),bind(Z,$fot(complement(meet(X_704,complement(X_705)))))]]) ).
cnf(refute_0_11783,plain,
( complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))) != complement(meet(X_704,complement(X_705)))
| meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) = complement(meet(X_704,complement(X_705))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))),complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705)))))) )],[refute_0_11781,refute_0_11782]) ).
cnf(refute_0_11784,plain,
meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) = complement(meet(X_704,complement(X_705))),
inference(resolve,[$cnf( $equal(complement(join(meet(X_704,complement(X_705)),meet(X_365,meet(X_704,complement(X_705))))),complement(meet(X_704,complement(X_705)))) )],[refute_0_11776,refute_0_11783]) ).
cnf(refute_0_11785,plain,
( join(complement(X_704),X_705) != meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705)))))
| meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))) != complement(meet(X_704,complement(X_705)))
| join(complement(X_704),X_705) = complement(meet(X_704,complement(X_705))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_704),X_705),complement(meet(X_704,complement(X_705)))) ),[0],$fot(meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))))]]) ).
cnf(refute_0_11786,plain,
( join(complement(X_704),X_705) != meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705)))))
| join(complement(X_704),X_705) = complement(meet(X_704,complement(X_705))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705))))),complement(meet(X_704,complement(X_705)))) )],[refute_0_11784,refute_0_11785]) ).
cnf(refute_0_11787,plain,
join(complement(X_704),X_705) = complement(meet(X_704,complement(X_705))),
inference(resolve,[$cnf( $equal(join(complement(X_704),X_705),meet(join(complement(X_704),X_705),complement(meet(X_365,meet(X_704,complement(X_705)))))) )],[refute_0_11769,refute_0_11786]) ).
cnf(refute_0_11788,plain,
( join(complement(X_704),X_705) != complement(meet(X_704,complement(X_705)))
| complement(meet(X_704,complement(X_705))) = join(complement(X_704),X_705) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(X_704),X_705))),bind(Y,$fot(complement(meet(X_704,complement(X_705)))))]]) ).
cnf(refute_0_11789,plain,
complement(meet(X_704,complement(X_705))) = join(complement(X_704),X_705),
inference(resolve,[$cnf( $equal(join(complement(X_704),X_705),complement(meet(X_704,complement(X_705)))) )],[refute_0_11787,refute_0_11788]) ).
cnf(refute_0_11790,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_11789:[bind(X_704,$fot(one)),bind(X_705,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11791,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),skolemFOFtoCNF_X0)
| join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11792,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_11790,refute_0_11791]) ).
cnf(refute_0_11793,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5117,refute_0_11792]) ).
cnf(refute_0_11794,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_11795,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11796,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_11794,refute_0_11795]) ).
cnf(refute_0_11797,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11793,refute_0_11796]) ).
cnf(refute_0_11798,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one)))
| join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11799,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11797,refute_0_11798]) ).
cnf(refute_0_11800,plain,
join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11755,refute_0_11799]) ).
cnf(refute_0_11801,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_11802,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11803,plain,
( join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_11801,refute_0_11802]) ).
cnf(refute_0_11804,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11800,refute_0_11803]) ).
cnf(refute_0_11805,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_11806,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11804,refute_0_11805]) ).
cnf(refute_0_11807,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_11651,refute_0_11806]) ).
cnf(refute_0_11808,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(one))) ),[0],$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_11809,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_11807,refute_0_11808]) ).
cnf(refute_0_11810,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(composition(skolemFOFtoCNF_X0,complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11650,refute_0_11809]) ).
cnf(refute_0_11811,plain,
meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_11812,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11813,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_11811,refute_0_11812]) ).
cnf(refute_0_11814,plain,
meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5117,refute_0_11813]) ).
cnf(refute_0_11815,plain,
( meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11816,plain,
( meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(one))
| meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_11814,refute_0_11815]) ).
cnf(refute_0_11817,plain,
meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) = composition(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11810,refute_0_11816]) ).
cnf(refute_0_11818,plain,
complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_11819,plain,
( complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(one))
| complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11820,plain,
( meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))) != composition(skolemFOFtoCNF_X0,complement(one))
| complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_11818,refute_0_11819]) ).
cnf(refute_0_11821,plain,
complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))),composition(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_11817,refute_0_11820]) ).
cnf(refute_0_11822,plain,
join(meet(X_942,complement(X_943)),complement(X_678)) = complement(meet(complement(meet(X_942,complement(X_943))),X_678)),
inference(subst,[],[refute_0_6103:[bind(X_679,$fot(meet(X_942,complement(X_943))))]]) ).
cnf(refute_0_11823,plain,
join(complement(X_942),X_943) = complement(meet(X_942,complement(X_943))),
inference(subst,[],[refute_0_11787:[bind(X_704,$fot(X_942)),bind(X_705,$fot(X_943))]]) ).
cnf(refute_0_11824,plain,
( join(complement(X_942),X_943) != complement(meet(X_942,complement(X_943)))
| complement(meet(X_942,complement(X_943))) = join(complement(X_942),X_943) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(X_942),X_943))),bind(Y,$fot(complement(meet(X_942,complement(X_943)))))]]) ).
cnf(refute_0_11825,plain,
complement(meet(X_942,complement(X_943))) = join(complement(X_942),X_943),
inference(resolve,[$cnf( $equal(join(complement(X_942),X_943),complement(meet(X_942,complement(X_943)))) )],[refute_0_11823,refute_0_11824]) ).
cnf(refute_0_11826,plain,
( complement(meet(X_942,complement(X_943))) != join(complement(X_942),X_943)
| join(meet(X_942,complement(X_943)),complement(X_678)) != complement(meet(complement(meet(X_942,complement(X_943))),X_678))
| join(meet(X_942,complement(X_943)),complement(X_678)) = complement(meet(join(complement(X_942),X_943),X_678)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_942,complement(X_943)),complement(X_678)),complement(meet(complement(meet(X_942,complement(X_943))),X_678))) ),[1,0,0],$fot(join(complement(X_942),X_943))]]) ).
cnf(refute_0_11827,plain,
( join(meet(X_942,complement(X_943)),complement(X_678)) != complement(meet(complement(meet(X_942,complement(X_943))),X_678))
| join(meet(X_942,complement(X_943)),complement(X_678)) = complement(meet(join(complement(X_942),X_943),X_678)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_942,complement(X_943))),join(complement(X_942),X_943)) )],[refute_0_11825,refute_0_11826]) ).
cnf(refute_0_11828,plain,
join(meet(X_942,complement(X_943)),complement(X_678)) = complement(meet(join(complement(X_942),X_943),X_678)),
inference(resolve,[$cnf( $equal(join(meet(X_942,complement(X_943)),complement(X_678)),complement(meet(complement(meet(X_942,complement(X_943))),X_678))) )],[refute_0_11822,refute_0_11827]) ).
cnf(refute_0_11829,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_11828:[bind(X_678,$fot(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),bind(X_942,$fot(one)),bind(X_943,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11830,plain,
( complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != complement(composition(skolemFOFtoCNF_X0,complement(one)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_11831,plain,
( complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != complement(composition(skolemFOFtoCNF_X0,complement(one)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_11829,refute_0_11830]) ).
cnf(refute_0_11832,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) = complement(composition(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(join(complement(one),skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11821,refute_0_11831]) ).
cnf(refute_0_11833,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),
introduced(tautology,[refl,[$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))))]]) ).
cnf(refute_0_11834,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != complement(composition(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11835,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))) != complement(composition(skolemFOFtoCNF_X0,complement(one)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))))) )],[refute_0_11833,refute_0_11834]) ).
cnf(refute_0_11836,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11832,refute_0_11835]) ).
cnf(refute_0_11837,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one))))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))))),bind(Y,$fot(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_11838,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_11836,refute_0_11837]) ).
cnf(refute_0_11839,plain,
meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) = meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(one)))),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9635,refute_0_11838]) ).
cnf(refute_0_11840,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))
| meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11841,plain,
( meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11839,refute_0_11840]) ).
cnf(refute_0_11842,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(complement(skolemFOFtoCNF_X0),join(one,composition(skolemFOFtoCNF_X0,top)))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_9513,refute_0_11841]) ).
cnf(refute_0_11843,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))))
| meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(composition(skolemFOFtoCNF_X0,top)) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11844,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))))
| complement(composition(skolemFOFtoCNF_X0,top)) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_11842,refute_0_11843]) ).
cnf(refute_0_11845,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),join(complement(composition(skolemFOFtoCNF_X0,top)),meet(complement(composition(skolemFOFtoCNF_X0,top)),join(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_6092,refute_0_11844]) ).
cnf(refute_0_11846,plain,
meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11847,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) != meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))
| meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_11848,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_11846,refute_0_11847]) ).
cnf(refute_0_11849,plain,
meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) = meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_5117,refute_0_11848]) ).
cnf(refute_0_11850,plain,
complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11851,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)))
| meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) != meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))),complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_11852,plain,
( meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)) != meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))),complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)))) )],[refute_0_11850,refute_0_11851]) ).
cnf(refute_0_11853,plain,
complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)),meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_11849,refute_0_11852]) ).
cnf(refute_0_11854,plain,
join(complement(X_704),meet(X_942,complement(X_943))) = complement(meet(X_704,complement(meet(X_942,complement(X_943))))),
inference(subst,[],[refute_0_11787:[bind(X_705,$fot(meet(X_942,complement(X_943))))]]) ).
cnf(refute_0_11855,plain,
( complement(meet(X_942,complement(X_943))) != join(complement(X_942),X_943)
| join(complement(X_704),meet(X_942,complement(X_943))) != complement(meet(X_704,complement(meet(X_942,complement(X_943)))))
| join(complement(X_704),meet(X_942,complement(X_943))) = complement(meet(X_704,join(complement(X_942),X_943))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_704),meet(X_942,complement(X_943))),complement(meet(X_704,complement(meet(X_942,complement(X_943)))))) ),[1,0,1],$fot(join(complement(X_942),X_943))]]) ).
cnf(refute_0_11856,plain,
( join(complement(X_704),meet(X_942,complement(X_943))) != complement(meet(X_704,complement(meet(X_942,complement(X_943)))))
| join(complement(X_704),meet(X_942,complement(X_943))) = complement(meet(X_704,join(complement(X_942),X_943))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_942,complement(X_943))),join(complement(X_942),X_943)) )],[refute_0_11825,refute_0_11855]) ).
cnf(refute_0_11857,plain,
join(complement(X_704),meet(X_942,complement(X_943))) = complement(meet(X_704,join(complement(X_942),X_943))),
inference(resolve,[$cnf( $equal(join(complement(X_704),meet(X_942,complement(X_943))),complement(meet(X_704,complement(meet(X_942,complement(X_943)))))) )],[refute_0_11854,refute_0_11856]) ).
cnf(refute_0_11858,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_11857:[bind(X_704,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X_942,$fot(one)),bind(X_943,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_11859,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_11860,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0)))) )],[refute_0_11858,refute_0_11859]) ).
cnf(refute_0_11861,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),join(complement(one),skolemFOFtoCNF_X0))),complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_11853,refute_0_11860]) ).
cnf(refute_0_11862,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))
| complement(composition(skolemFOFtoCNF_X0,top)) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_11863,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(composition(skolemFOFtoCNF_X0,top)) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0))),complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_11861,refute_0_11862]) ).
cnf(refute_0_11864,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),join(complement(composition(skolemFOFtoCNF_X0,top)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_11845,refute_0_11863]) ).
cnf(refute_0_11865,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))
| complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_11866,plain,
complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_11864,refute_0_11865]) ).
cnf(refute_0_11867,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),
introduced(tautology,[refl,[$fot(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top))]]) ).
cnf(refute_0_11868,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_11869,plain,
( complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top)) )],[refute_0_11867,refute_0_11868]) ).
cnf(refute_0_11870,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11866,refute_0_11869]) ).
cnf(refute_0_11871,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top))),bind(Y,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11872,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_11870,refute_0_11871]) ).
cnf(refute_0_11873,plain,
composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_6091,refute_0_11872]) ).
cnf(refute_0_11874,plain,
( composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_11875,plain,
( composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11873,refute_0_11874]) ).
cnf(refute_0_11876,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = composition(meet(one,complement(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(complement(meet(composition(skolemFOFtoCNF_X0,top),join(skolemFOFtoCNF_X0,complement(one)))),top),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_5772,refute_0_11875]) ).
cnf(refute_0_11877,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(meet(one,complement(skolemFOFtoCNF_X0)),top)
| composition(meet(one,complement(skolemFOFtoCNF_X0)),top) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(Y,$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_11878,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_11876,refute_0_11877]) ).
cnf(refute_0_11879,plain,
meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_11880,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))
| meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_11881,plain,
( composition(meet(one,complement(skolemFOFtoCNF_X0)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_11879,refute_0_11880]) ).
cnf(refute_0_11882,plain,
meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11878,refute_0_11881]) ).
cnf(refute_0_11883,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))
| meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11884,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11882,refute_0_11883]) ).
cnf(refute_0_11885,plain,
meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_5665,refute_0_11884]) ).
cnf(refute_0_11886,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_11887,plain,
( meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))
| meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_11888,plain,
( meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)))) )],[refute_0_11886,refute_0_11887]) ).
cnf(refute_0_11889,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_11885,refute_0_11888]) ).
cnf(refute_0_11890,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),meet(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11891,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11889,refute_0_11890]) ).
cnf(refute_0_11892,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),composition(meet(one,complement(skolemFOFtoCNF_X0)),top))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5645,refute_0_11891]) ).
cnf(refute_0_11893,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(complement(skolemFOFtoCNF_X0),one),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_11894,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1011:[bind(X_27,$fot(one)),bind(X_28,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11895,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) ),[0],$fot(meet(one,complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_11896,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_11894,refute_0_11895]) ).
cnf(refute_0_11897,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(skolemFOFtoCNF_X0),one)) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_11898,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_5124,refute_0_11897]) ).
cnf(refute_0_11899,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_11898,refute_0_11896]) ).
cnf(refute_0_11900,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_11899,refute_0_11893]) ).
cnf(refute_0_11901,plain,
$false,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_11892,refute_0_11900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL027+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 14:46:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 170.24/170.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.24/170.42
% 170.24/170.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 172.64/172.88
%------------------------------------------------------------------------------